From 981df9c0d578b7faf73281a2a54fe1235592ffb0 Mon Sep 17 00:00:00 2001
From: David Doret <david.doret@me.com>
Date: Sun, 27 Aug 2023 22:04:57 +0200
Subject: [PATCH] implement #147

---
 docs/build/.doctrees/environment.pickle       | Bin 1399502 -> 1399593 bytes
 .../inconsistency_introduction_1.doctree      | Bin 20724 -> 20756 bytes
 .../inconsistency_introduction_2.doctree      | Bin 22724 -> 22748 bytes
 .../inconsistency_introduction_3.doctree      | Bin 19798 -> 19830 bytes
 docs/build/absorption.html                    |  30 ++++----
 .../absorption_declaration_python_class.html  |   4 +-
 .../absorption_inclusion_python_class.html    |   4 +-
 docs/build/absorption_math_object.html        |   8 +-
 docs/build/bibliography.html                  |   2 +-
 .../build/biconditional_elimination_left.html |   2 +-
 .../biconditional_elimination_right.html      |   2 +-
 docs/build/biconditional_introduction.html    |   2 +-
 docs/build/conjunction_elimination_left.html  |   2 +-
 docs/build/conjunction_elimination_right.html |   2 +-
 docs/build/conjunction_introduction.html      |  32 ++++----
 docs/build/disjunction_elimination.html       |   2 +-
 docs/build/disjunction_introduction.html      |  32 ++++----
 docs/build/disjunction_introduction_left.html |  32 ++++----
 .../build/disjunction_introduction_right.html |  32 ++++----
 docs/build/double_negation_elimination.html   |   2 +-
 docs/build/double_negation_introduction.html  |  32 ++++----
 docs/build/elimination_rule.html              |  10 +--
 docs/build/formula_statement.html             |   2 +-
 docs/build/hypothesis.html                    |   2 +-
 docs/build/inconsistency_by_inequality.html   |   8 +-
 ...onsistency_by_inequality_introduction.html |   8 +-
 ...consistency_by_inequality_math_object.html |   6 +-
 docs/build/inconsistency_introduction_1.html  |   3 +-
 docs/build/inconsistency_introduction_2.html  |   2 +-
 docs/build/inconsistency_introduction_3.html  |   3 +-
 docs/build/inference-rule.html                |  10 +--
 docs/build/inference_rule.html                |  12 +--
 docs/build/inference_rule_math_object.html    |  12 +--
 docs/build/introduction_rule.html             |  12 +--
 docs/build/is_a.html                          |  14 ++--
 docs/build/meta_object.html                   |   8 +-
 docs/build/modus_ponens.html                  |  30 ++++----
 docs/build/notation_form.html                 |   8 +-
 docs/build/paragraph_proof.html               |   6 +-
 docs/build/proof_by_contradiction_1.html      |  20 ++---
 docs/build/proof_by_contradiction_2.html      |  30 ++++----
 docs/build/proof_by_refutation_1.html         |  30 ++++----
 docs/build/proof_by_refutation_2.html         |  30 ++++----
 docs/build/relation.html                      |  26 +++----
 docs/build/searchindex.js                     |   2 +-
 docs/build/test.html                          |   4 +-
 docs/build/theory_elaboration_sequence.html   |  70 +++++++++---------
 docs/build/universe_of_discourse.html         |  64 ++++++++--------
 docs/build/variable_substitution.html         |  30 ++++----
 sample/code/inconsistency_introduction_1.py   |   3 +-
 sample/code/inconsistency_introduction_2.py   |   2 +-
 sample/code/inconsistency_introduction_3.py   |   3 +-
 tests/inconsistency_introduction_1.py         |   6 +-
 tests/inconsistency_introduction_2.py         |  18 ++---
 tests/inconsistency_introduction_3.py         |  15 ++++
 55 files changed, 372 insertions(+), 359 deletions(-)
 create mode 100644 tests/inconsistency_introduction_3.py

diff --git a/docs/build/.doctrees/environment.pickle b/docs/build/.doctrees/environment.pickle
index 1ca8e51cbead1def054e0730fa3d8cd552e8fb07..731d2c7d0459533fcb7234eadd8e0f361218fbc6 100644
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index ba2360a42ad0862dae35aa0eac236c0da9b277da..847c7eabae209f6d7e910f8acf732e9829d09b60 100644
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delta 74
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index 21a455515203ba1f3669c6293c7f2bfe8f230c6f..214c2a80c5b52737840ebd00ec5f7e5af76f378d 100644
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index 7e16fe587d019dd2191cd8180b3a35044eeafdf5..5ea66b5543966c4e89efc5a40dac6296789c0e47 100644
GIT binary patch
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diff --git a/docs/build/absorption.html b/docs/build/absorption.html
index 2ab99370..3911a825 100644
--- a/docs/build/absorption.html
+++ b/docs/build/absorption.html
@@ -276,28 +276,28 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="absorption">
-<h1>absorption<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#absorption">¶</a></h1>
+<h1>absorption<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#absorption">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p><em>absorption</em> is the well-known and valid <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> in propositional-logic:</p>
 <div class="math notranslate nohighlight">
 \[\left(P \implies Q\right) \vdash \left(P \implies P \land Q\right)\]</div>
 </section>
 <section id="python-implementation">
-<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
+<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
 <section id="absorptiondeclaration">
-<h3>AbsorptionDeclaration<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#absorptiondeclaration">¶</a></h3>
+<h3>AbsorptionDeclaration<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#absorptiondeclaration">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.AbsorptionDeclaration">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">AbsorptionDeclaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.AbsorptionDeclaration">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">AbsorptionDeclaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.AbsorptionDeclaration">¶</a></dt>
 <dd><p>The declaration of the <a class="reference internal" href="#"><span class="doc">absorption</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> in a <a class="reference internal" href="universe_of_discourse.html"><span class="doc">universe-of-discourse</span></a>.</p>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.AbsorptionDeclaration.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.AbsorptionDeclaration.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.AbsorptionDeclaration.__init__">¶</a></dt>
 <dd></dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.AbsorptionDeclaration.compose_paragraph_proof">
-<span class="sig-name descname"><span class="pre">compose_paragraph_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.AbsorptionDeclaration.compose_paragraph_proof">¶</a></dt>
+<span class="sig-name descname"><span class="pre">compose_paragraph_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.AbsorptionDeclaration.compose_paragraph_proof">¶</a></dt>
 <dd><p>This method should be overridden by specialized inference-rule classes to provide accurate proofs.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Return type<span class="colon">:</span></dt>
@@ -307,7 +307,7 @@ <h3>AbsorptionDeclaration<a aria-label="Click to copy this link" class="headerli
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.AbsorptionDeclaration.infer_formula">
-<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_implies_q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.AbsorptionDeclaration.infer_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_implies_q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.AbsorptionDeclaration.infer_formula">¶</a></dt>
 <dd><dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
 <dd class="field-odd"><ul class="simple">
@@ -322,7 +322,7 @@ <h3>AbsorptionDeclaration<a aria-label="Click to copy this link" class="headerli
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.AbsorptionDeclaration.verify_args">
-<span class="sig-name descname"><span class="pre">verify_args</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_implies_q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.AbsorptionDeclaration.verify_args">¶</a></dt>
+<span class="sig-name descname"><span class="pre">verify_args</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_implies_q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.AbsorptionDeclaration.verify_args">¶</a></dt>
 <dd><p>Verify the syntactical-compatibility of input statements and return True
 if they are compatible, False otherwise.</p>
 <dl class="field-list simple">
@@ -334,19 +334,19 @@ <h3>AbsorptionDeclaration<a aria-label="Click to copy this link" class="headerli
 </dd></dl>
 </section>
 <section id="absorptioninclusion">
-<h3>AbsorptionInclusion<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#absorptioninclusion">¶</a></h3>
+<h3>AbsorptionInclusion<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#absorptioninclusion">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.AbsorptionInclusion">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">AbsorptionInclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.AbsorptionInclusion">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">AbsorptionInclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.AbsorptionInclusion">¶</a></dt>
 <dd><p>The inclusion of <a class="reference internal" href="#"><span class="doc">absorption</span></a> as a valid <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> in a <a class="reference internal" href="theory_elaboration_sequence.html"><span class="doc">theory-elaboration-sequence</span></a>.</p>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.AbsorptionInclusion.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.AbsorptionInclusion.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.AbsorptionInclusion.__init__">¶</a></dt>
 <dd><p>Include (aka allow) an inference-rule in a theory-elaboration.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.AbsorptionInclusion.infer_formula">
-<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_implies_q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.AbsorptionInclusion.infer_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_implies_q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.AbsorptionInclusion.infer_formula">¶</a></dt>
 <dd><p>Apply the absorption inference-rule and return the inferred-formula.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -359,7 +359,7 @@ <h3>AbsorptionInclusion<a aria-label="Click to copy this link" class="headerlink
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.AbsorptionInclusion.infer_statement">
-<span class="sig-name descname"><span class="pre">infer_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_implies_q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.AbsorptionInclusion.infer_statement">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_implies_q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.AbsorptionInclusion.infer_statement">¶</a></dt>
 <dd><p>Apply the absorption inference-rule and return the inferred-statement.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -374,7 +374,7 @@ <h3>AbsorptionInclusion<a aria-label="Click to copy this link" class="headerlink
 </section>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 <ul class="simple">
 <li><p><a class="reference external" href="https://en.wikipedia.org/wiki/Absorption_(logic" rel="nofollow noopener">https://en.wikipedia.org/wiki/Absorption_(logic</a>)</p></li>
 </ul>
diff --git a/docs/build/absorption_declaration_python_class.html b/docs/build/absorption_declaration_python_class.html
index 3a3ebd3c..13d09241 100644
--- a/docs/build/absorption_declaration_python_class.html
+++ b/docs/build/absorption_declaration_python_class.html
@@ -22,10 +22,10 @@
 <div class="bodywrapper">
 <div class="body" role="main">
 <section id="absorptiondeclaration-python-class">
-<h1>AbsorptionDeclaration (python class)<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#absorptiondeclaration-python-class">¶</a></h1>
+<h1>AbsorptionDeclaration (python class)<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#absorptiondeclaration-python-class">¶</a></h1>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.AbsorptionDeclaration">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">AbsorptionDeclaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">UniverseOfDiscourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">None</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">bool</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.AbsorptionDeclaration">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">AbsorptionDeclaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">UniverseOfDiscourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">None</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">bool</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.AbsorptionDeclaration">¶</a></dt>
 <dd><p>The declaration of the <span class="xref std std-doc">absorption</span> <span class="xref std std-doc">inference-rule</span> in a universe-of-discourse.</p>
 </dd></dl>
 </section>
diff --git a/docs/build/absorption_inclusion_python_class.html b/docs/build/absorption_inclusion_python_class.html
index ffd11724..f59f60ae 100644
--- a/docs/build/absorption_inclusion_python_class.html
+++ b/docs/build/absorption_inclusion_python_class.html
@@ -22,10 +22,10 @@
 <div class="bodywrapper">
 <div class="body" role="main">
 <section id="absorptioninclusion-python-class">
-<h1>AbsorptionInclusion (python class)<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#absorptioninclusion-python-class">¶</a></h1>
+<h1>AbsorptionInclusion (python class)<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#absorptioninclusion-python-class">¶</a></h1>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.AbsorptionInclusion">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">AbsorptionInclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">TheoryElaborationSequence</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">None</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">bool</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">None</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">bool</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.AbsorptionInclusion">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">AbsorptionInclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">TheoryElaborationSequence</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">None</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">bool</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">None</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">bool</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.AbsorptionInclusion">¶</a></dt>
 <dd><p>Note: designing a specialized inclusion class is superfluous because InferenceRuleInclusion
 is sufficient to do the job. But the advantage of specializing this class is to provide
 user-friendly type hints and method parameters documentation for that particular
diff --git a/docs/build/absorption_math_object.html b/docs/build/absorption_math_object.html
index 5a4197cc..73c3dc54 100644
--- a/docs/build/absorption_math_object.html
+++ b/docs/build/absorption_math_object.html
@@ -23,22 +23,22 @@
 <div class="bodywrapper">
 <div class="body" role="main">
 <section id="absorption-inference-rule">
-<h1>absorption (inference-rule)<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#absorption-inference-rule">¶</a></h1>
+<h1>absorption (inference-rule)<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#absorption-inference-rule">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p><em>absorption</em> is the well-known and valid <a class="reference internal" href="inference_rule_math_object.html"><span class="doc">inference-rule (mathematical object)</span></a> in propositional-logic:</p>
 <div class="math notranslate nohighlight">
 \[\left(P \implies Q\right) \vdash \left(P \implies P \land Q\right)\]</div>
 </section>
 <section id="python-implementation">
-<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
+<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
 <ul class="simple">
 <li><p><a class="reference internal" href="absorption_declaration_python_class.html"><span class="doc">AbsorptionDeclaration (python class)</span></a></p></li>
 <li><p><a class="reference internal" href="absorption_inclusion_python_class.html"><span class="doc">AbsorptionInclusion (python class)</span></a></p></li>
 </ul>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 <ul class="simple">
 <li><p><a class="reference external" href="https://en.wikipedia.org/wiki/Absorption_(logic" rel="nofollow noopener">https://en.wikipedia.org/wiki/Absorption_(logic</a>)</p></li>
 </ul>
diff --git a/docs/build/bibliography.html b/docs/build/bibliography.html
index 1db9df9b..3da74f84 100644
--- a/docs/build/bibliography.html
+++ b/docs/build/bibliography.html
@@ -271,7 +271,7 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="bibliography">
-<h1>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h1>
+<h1>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h1>
 </section>
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 <div class="citation-list" role="list">
diff --git a/docs/build/biconditional_elimination_left.html b/docs/build/biconditional_elimination_left.html
index f4cd4568..170ab75e 100644
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-<h1>biconditional-elimination-left<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#biconditional-elimination-left">¶</a></h1>
+<h1>biconditional-elimination-left<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#biconditional-elimination-left">¶</a></h1>
 </section>
 </article>
 <footer><div class="mt-20 mb-4 text-sm text-gray-700 print:mt-4">© 2023, David Doret Made with <a class="text-link hover:text-brand focus:text-brand hover:underline focus:underline" href="https://www.sphinx-doc.org">Sphinx 7.1.2</a></div>
diff --git a/docs/build/biconditional_elimination_right.html b/docs/build/biconditional_elimination_right.html
index cce39397..c019671e 100644
--- a/docs/build/biconditional_elimination_right.html
+++ b/docs/build/biconditional_elimination_right.html
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 </nav>
 <article class="flex-1 prose" role="main">
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-<h1>biconditional-elimination-right<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#biconditional-elimination-right">¶</a></h1>
+<h1>biconditional-elimination-right<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#biconditional-elimination-right">¶</a></h1>
 </section>
 </article>
 <footer><div class="mt-20 mb-4 text-sm text-gray-700 print:mt-4">© 2023, David Doret Made with <a class="text-link hover:text-brand focus:text-brand hover:underline focus:underline" href="https://www.sphinx-doc.org">Sphinx 7.1.2</a></div>
diff --git a/docs/build/biconditional_introduction.html b/docs/build/biconditional_introduction.html
index de6d206a..a5d5277f 100644
--- a/docs/build/biconditional_introduction.html
+++ b/docs/build/biconditional_introduction.html
@@ -271,7 +271,7 @@
 </nav>
 <article class="flex-1 prose" role="main">
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-<h1>biconditional-introduction<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#biconditional-introduction">¶</a></h1>
+<h1>biconditional-introduction<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#biconditional-introduction">¶</a></h1>
 </section>
 </article>
 <footer><div class="mt-20 mb-4 text-sm text-gray-700 print:mt-4">© 2023, David Doret Made with <a class="text-link hover:text-brand focus:text-brand hover:underline focus:underline" href="https://www.sphinx-doc.org">Sphinx 7.1.2</a></div>
diff --git a/docs/build/conjunction_elimination_left.html b/docs/build/conjunction_elimination_left.html
index 38137fe8..ea472227 100644
--- a/docs/build/conjunction_elimination_left.html
+++ b/docs/build/conjunction_elimination_left.html
@@ -271,7 +271,7 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="conjunction-elimination-left">
-<h1>conjunction-elimination-left<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#conjunction-elimination-left">¶</a></h1>
+<h1>conjunction-elimination-left<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#conjunction-elimination-left">¶</a></h1>
 </section>
 </article>
 <footer><div class="mt-20 mb-4 text-sm text-gray-700 print:mt-4">© 2023, David Doret Made with <a class="text-link hover:text-brand focus:text-brand hover:underline focus:underline" href="https://www.sphinx-doc.org">Sphinx 7.1.2</a></div>
diff --git a/docs/build/conjunction_elimination_right.html b/docs/build/conjunction_elimination_right.html
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--- a/docs/build/conjunction_elimination_right.html
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@@ -271,7 +271,7 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="conjunction-elimination-right">
-<h1>conjunction-elimination-right<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#conjunction-elimination-right">¶</a></h1>
+<h1>conjunction-elimination-right<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#conjunction-elimination-right">¶</a></h1>
 </section>
 </article>
 <footer><div class="mt-20 mb-4 text-sm text-gray-700 print:mt-4">© 2023, David Doret Made with <a class="text-link hover:text-brand focus:text-brand hover:underline focus:underline" href="https://www.sphinx-doc.org">Sphinx 7.1.2</a></div>
diff --git a/docs/build/conjunction_introduction.html b/docs/build/conjunction_introduction.html
index e3e0971e..c4729d5e 100644
--- a/docs/build/conjunction_introduction.html
+++ b/docs/build/conjunction_introduction.html
@@ -276,15 +276,15 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="conjunction-introduction">
-<h1>conjunction-introduction<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#conjunction-introduction">¶</a></h1>
+<h1>conjunction-introduction<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#conjunction-introduction">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p><em>conjunction-introduction</em> is the well-known and valid <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a>:</p>
 <div class="math notranslate nohighlight">
 \[P, Q \vdash \left( P \land Q \right)\]</div>
 </section>
 <section id="quotes">
-<h2>Quotes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#quotes">¶</a></h2>
+<h2>Quotes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#quotes">¶</a></h2>
 <blockquote>
 <div><p>“The rule of conjunction is a valid argument in types of logic dealing with conjunctions ∧.
 This includes propositional logic and predicate logic, and in particular natural deduction.
@@ -294,9 +294,9 @@ <h2>Quotes<a aria-label="Click to copy this link" class="headerlink tooltipped t
 </div></blockquote>
 </section>
 <section id="python-implementation">
-<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
+<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
 <section id="properties">
-<h3>Properties<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#properties">¶</a></h3>
+<h3>Properties<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#properties">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py">
 <em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">InferenceRuleDeclarationDict</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">u</span></span></em><span class="sig-paren">)</span></dt>
@@ -341,18 +341,18 @@ <h3>Properties<a aria-label="Click to copy this link" class="headerlink tooltipp
 </dd></dl>
 </section>
 <section id="classes">
-<h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#classes">¶</a></h3>
+<h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#classes">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.ConjunctionIntroductionDeclaration">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">ConjunctionIntroductionDeclaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ConjunctionIntroductionDeclaration">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">ConjunctionIntroductionDeclaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ConjunctionIntroductionDeclaration">¶</a></dt>
 <dd><p>The declaration of the <a class="reference internal" href="#"><span class="doc">conjunction-introduction</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> as valid in the target <a class="reference internal" href="universe_of_discourse.html"><span class="doc">universe-of-discourse</span></a>.</p>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ConjunctionIntroductionDeclaration.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ConjunctionIntroductionDeclaration.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ConjunctionIntroductionDeclaration.__init__">¶</a></dt>
 <dd></dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ConjunctionIntroductionDeclaration.compose_paragraph_proof">
-<span class="sig-name descname"><span class="pre">compose_paragraph_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ConjunctionIntroductionDeclaration.compose_paragraph_proof">¶</a></dt>
+<span class="sig-name descname"><span class="pre">compose_paragraph_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ConjunctionIntroductionDeclaration.compose_paragraph_proof">¶</a></dt>
 <dd><p>Composes the paragraph-proof of inferred-statements based on the <a class="reference internal" href="#"><span class="doc">conjunction-introduction</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> .</p>
 <dl class="field-list simple">
 <dt class="field-odd">Return type<span class="colon">:</span></dt>
@@ -362,7 +362,7 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ConjunctionIntroductionDeclaration.infer_formula">
-<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ConjunctionIntroductionDeclaration.infer_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ConjunctionIntroductionDeclaration.infer_formula">¶</a></dt>
 <dd><p>Apply the <a class="reference internal" href="#"><span class="doc">conjunction-introduction</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> and return the resulting formula.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -380,7 +380,7 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ConjunctionIntroductionDeclaration.verify_args">
-<span class="sig-name descname"><span class="pre">verify_args</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ConjunctionIntroductionDeclaration.verify_args">¶</a></dt>
+<span class="sig-name descname"><span class="pre">verify_args</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ConjunctionIntroductionDeclaration.verify_args">¶</a></dt>
 <dd><p>Verify the correctness of the parameters provided to the <a class="reference internal" href="double_negation_introduction.html"><span class="doc">double-negation-introduction</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> .</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -401,15 +401,15 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </dd></dl>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.ConjunctionIntroductionInclusion">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">ConjunctionIntroductionInclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ConjunctionIntroductionInclusion">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">ConjunctionIntroductionInclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ConjunctionIntroductionInclusion">¶</a></dt>
 <dd><dl class="py method">
 <dt class="sig sig-object py" id="core.ConjunctionIntroductionInclusion.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ConjunctionIntroductionInclusion.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ConjunctionIntroductionInclusion.__init__">¶</a></dt>
 <dd><p>Include (aka allow) an inference-rule in a theory-elaboration.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ConjunctionIntroductionInclusion.infer_formula">
-<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ConjunctionIntroductionInclusion.infer_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ConjunctionIntroductionInclusion.infer_formula">¶</a></dt>
 <dd><p>Apply the <a class="reference internal" href="#"><span class="doc">conjunction-introduction</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> and return the resulting formula.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -426,7 +426,7 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ConjunctionIntroductionInclusion.infer_statement">
-<span class="sig-name descname"><span class="pre">infer_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ConjunctionIntroductionInclusion.infer_statement">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ConjunctionIntroductionInclusion.infer_statement">¶</a></dt>
 <dd><p>Apply the <a class="reference internal" href="#"><span class="doc">conjunction-introduction</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> and return the resulting inferred-statement.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -449,7 +449,7 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </section>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 <div class="docutils container" id="id2">
 <aside class="footnote-list brackets">
 <aside class="footnote brackets" id="footcite-proofwiki-2022-ruleconjunction" role="doc-footnote">
diff --git a/docs/build/disjunction_elimination.html b/docs/build/disjunction_elimination.html
index 98a950d2..3f154b06 100644
--- a/docs/build/disjunction_elimination.html
+++ b/docs/build/disjunction_elimination.html
@@ -271,7 +271,7 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="disjunction-elimination">
-<h1>disjunction-elimination<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#disjunction-elimination">¶</a></h1>
+<h1>disjunction-elimination<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#disjunction-elimination">¶</a></h1>
 </section>
 </article>
 <footer><div class="mt-20 mb-4 text-sm text-gray-700 print:mt-4">© 2023, David Doret Made with <a class="text-link hover:text-brand focus:text-brand hover:underline focus:underline" href="https://www.sphinx-doc.org">Sphinx 7.1.2</a></div>
diff --git a/docs/build/disjunction_introduction.html b/docs/build/disjunction_introduction.html
index 38ff345d..828a5557 100644
--- a/docs/build/disjunction_introduction.html
+++ b/docs/build/disjunction_introduction.html
@@ -22,24 +22,24 @@
 <div class="bodywrapper">
 <div class="body" role="main">
 <section id="disjunction-introduction">
-<h1>disjunction-introduction<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#disjunction-introduction">¶</a></h1>
+<h1>disjunction-introduction<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#disjunction-introduction">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p><em>disjunction-introduction</em> is the well-known and valid <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a>:</p>
 <div class="math notranslate nohighlight">
 \[P \vdash \left( P \lor Q \right)\]</div>
 </section>
 <section id="quotes">
-<h2>Quotes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#quotes">¶</a></h2>
+<h2>Quotes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#quotes">¶</a></h2>
 <blockquote>
 <div><p>“Addition (or disjunction introduction, or or introduction) is the rule of inference that allows one to infer a disjunction from either of the disjuncts.”
 - <a class="footnote-reference brackets" href="#footcite-cook-2009-dictionaryphilosophicallogic" id="id1" role="doc-noteref"><span class="fn-bracket">[</span>1<span class="fn-bracket">]</span></a>, p8</p>
 </div></blockquote>
 </section>
 <section id="python-implementation">
-<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
+<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
 <section id="properties">
-<h3>Properties<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#properties">¶</a></h3>
+<h3>Properties<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#properties">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py">
 <em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">InferenceRuleDeclarationDict</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">u</span></span></em><span class="sig-paren">)</span></dt>
@@ -68,18 +68,18 @@ <h3>Properties<a aria-label="Click to copy this link" class="headerlink tooltipp
 </dd></dl>
 </section>
 <section id="classes">
-<h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#classes">¶</a></h3>
+<h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#classes">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionDeclaration">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">DisjunctionIntroductionDeclaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionDeclaration">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">DisjunctionIntroductionDeclaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionDeclaration">¶</a></dt>
 <dd><p>The declaration of the <a class="reference internal" href="#"><span class="doc">disjunction-introduction</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> as valid in the target <a class="reference internal" href="universe_of_discourse.html"><span class="doc">universe-of-discourse</span></a>.</p>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionDeclaration.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionDeclaration.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionDeclaration.__init__">¶</a></dt>
 <dd></dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionDeclaration.compose_paragraph_proof">
-<span class="sig-name descname"><span class="pre">compose_paragraph_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionDeclaration.compose_paragraph_proof">¶</a></dt>
+<span class="sig-name descname"><span class="pre">compose_paragraph_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionDeclaration.compose_paragraph_proof">¶</a></dt>
 <dd><p>Composes the paragraph-proof of inferred-statements based on the <a class="reference internal" href="#"><span class="doc">disjunction-introduction</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> .</p>
 <dl class="field-list simple">
 <dt class="field-odd">Return type<span class="colon">:</span></dt>
@@ -89,7 +89,7 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionDeclaration.infer_formula">
-<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionDeclaration.infer_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionDeclaration.infer_formula">¶</a></dt>
 <dd><p>Apply the <a class="reference internal" href="#"><span class="doc">disjunction-introduction</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> and return the resulting formula.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -107,7 +107,7 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionDeclaration.verify_args">
-<span class="sig-name descname"><span class="pre">verify_args</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionDeclaration.verify_args">¶</a></dt>
+<span class="sig-name descname"><span class="pre">verify_args</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionDeclaration.verify_args">¶</a></dt>
 <dd><p>Verify the correctness of the parameters provided to the <a class="reference internal" href="double_negation_introduction.html"><span class="doc">double-negation-introduction</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> .</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -125,15 +125,15 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </dd></dl>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionInclusion">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">DisjunctionIntroductionInclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionInclusion">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">DisjunctionIntroductionInclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionInclusion">¶</a></dt>
 <dd><dl class="py method">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionInclusion.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionInclusion.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionInclusion.__init__">¶</a></dt>
 <dd><p>Include (aka allow) an inference-rule in a theory-elaboration.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionInclusion.infer_formula">
-<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionInclusion.infer_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionInclusion.infer_formula">¶</a></dt>
 <dd><p>Apply the <a class="reference internal" href="#"><span class="doc">disjunction-introduction</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> and return the resulting formula.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -150,7 +150,7 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionInclusion.infer_statement">
-<span class="sig-name descname"><span class="pre">infer_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionInclusion.infer_statement">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionInclusion.infer_statement">¶</a></dt>
 <dd><p>Apply the <a class="reference internal" href="#"><span class="doc">disjunction-introduction</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> and return the resulting inferred-statement.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -173,7 +173,7 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </section>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 <div class="docutils container" id="id2">
 <aside class="footnote-list brackets">
 <aside class="footnote brackets" id="footcite-cook-2009-dictionaryphilosophicallogic" role="doc-footnote">
diff --git a/docs/build/disjunction_introduction_left.html b/docs/build/disjunction_introduction_left.html
index d1f8134a..3acad921 100644
--- a/docs/build/disjunction_introduction_left.html
+++ b/docs/build/disjunction_introduction_left.html
@@ -276,24 +276,24 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="disjunction-introduction-left">
-<h1>disjunction-introduction-left<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#disjunction-introduction-left">¶</a></h1>
+<h1>disjunction-introduction-left<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#disjunction-introduction-left">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p><em>disjunction-introduction-left</em> is the well-known and valid <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a>:</p>
 <div class="math notranslate nohighlight">
 \[P \vdash \left( Q \lor P \right)\]</div>
 </section>
 <section id="quotes">
-<h2>Quotes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#quotes">¶</a></h2>
+<h2>Quotes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#quotes">¶</a></h2>
 <blockquote>
 <div><p>“Addition (or disjunction introduction, or or introduction) is the rule of inference that allows one to infer a disjunction from either of the disjuncts.”
 - <a class="footnote-reference brackets" href="#footcite-cook-2009-dictionaryphilosophicallogic" id="id1" role="doc-noteref"><span class="fn-bracket">[</span>1<span class="fn-bracket">]</span></a>, p8</p>
 </div></blockquote>
 </section>
 <section id="python-implementation">
-<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
+<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
 <section id="properties">
-<h3>Properties<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#properties">¶</a></h3>
+<h3>Properties<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#properties">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py">
 <em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">InferenceRuleDeclarationDict</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">u</span></span></em><span class="sig-paren">)</span></dt>
@@ -322,18 +322,18 @@ <h3>Properties<a aria-label="Click to copy this link" class="headerlink tooltipp
 </dd></dl>
 </section>
 <section id="classes">
-<h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#classes">¶</a></h3>
+<h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#classes">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionLeftDeclaration">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">DisjunctionIntroductionLeftDeclaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionLeftDeclaration">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">DisjunctionIntroductionLeftDeclaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionLeftDeclaration">¶</a></dt>
 <dd><p>The declaration of the <a class="reference internal" href="#"><span class="doc">disjunction-introduction-left</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> as valid in the target <a class="reference internal" href="universe_of_discourse.html"><span class="doc">universe-of-discourse</span></a>.</p>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionLeftDeclaration.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionLeftDeclaration.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionLeftDeclaration.__init__">¶</a></dt>
 <dd></dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionLeftDeclaration.compose_paragraph_proof">
-<span class="sig-name descname"><span class="pre">compose_paragraph_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionLeftDeclaration.compose_paragraph_proof">¶</a></dt>
+<span class="sig-name descname"><span class="pre">compose_paragraph_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionLeftDeclaration.compose_paragraph_proof">¶</a></dt>
 <dd><p>Composes the paragraph-proof of inferred-statements based on the <a class="reference internal" href="#"><span class="doc">disjunction-introduction-left</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> .</p>
 <dl class="field-list simple">
 <dt class="field-odd">Return type<span class="colon">:</span></dt>
@@ -343,7 +343,7 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionLeftDeclaration.infer_formula">
-<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionLeftDeclaration.infer_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionLeftDeclaration.infer_formula">¶</a></dt>
 <dd><p>Apply the <a class="reference internal" href="#"><span class="doc">disjunction-introduction-left</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> and return the resulting formula.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -361,7 +361,7 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionLeftDeclaration.verify_args">
-<span class="sig-name descname"><span class="pre">verify_args</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionLeftDeclaration.verify_args">¶</a></dt>
+<span class="sig-name descname"><span class="pre">verify_args</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionLeftDeclaration.verify_args">¶</a></dt>
 <dd><p>Verify the correctness of the parameters provided to the <a class="reference internal" href="double_negation_introduction.html"><span class="doc">double-negation-introduction</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> .</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -379,15 +379,15 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </dd></dl>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionLeftInclusion">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">DisjunctionIntroductionLeftInclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionLeftInclusion">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">DisjunctionIntroductionLeftInclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionLeftInclusion">¶</a></dt>
 <dd><dl class="py method">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionLeftInclusion.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionLeftInclusion.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionLeftInclusion.__init__">¶</a></dt>
 <dd><p>Include (aka allow) an inference-rule in a theory-elaboration.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionLeftInclusion.infer_formula">
-<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionLeftInclusion.infer_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionLeftInclusion.infer_formula">¶</a></dt>
 <dd><p>Apply the <a class="reference internal" href="#"><span class="doc">disjunction-introduction-left</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> and return the resulting formula.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -404,7 +404,7 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionLeftInclusion.infer_statement">
-<span class="sig-name descname"><span class="pre">infer_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionLeftInclusion.infer_statement">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionLeftInclusion.infer_statement">¶</a></dt>
 <dd><p>Apply the <a class="reference internal" href="#"><span class="doc">disjunction-introduction-left</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> and return the resulting inferred-statement.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -427,7 +427,7 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </section>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 <div class="docutils container" id="id2">
 <aside class="footnote-list brackets">
 <aside class="footnote brackets" id="footcite-cook-2009-dictionaryphilosophicallogic" role="doc-footnote">
diff --git a/docs/build/disjunction_introduction_right.html b/docs/build/disjunction_introduction_right.html
index 61bcf1b8..3c45a772 100644
--- a/docs/build/disjunction_introduction_right.html
+++ b/docs/build/disjunction_introduction_right.html
@@ -276,24 +276,24 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="disjunction-introduction-right">
-<h1>disjunction-introduction-right<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#disjunction-introduction-right">¶</a></h1>
+<h1>disjunction-introduction-right<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#disjunction-introduction-right">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p><em>disjunction-introduction-right</em> is the well-known and valid <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a>:</p>
 <div class="math notranslate nohighlight">
 \[P \vdash \left( P \lor Q \right)\]</div>
 </section>
 <section id="quotes">
-<h2>Quotes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#quotes">¶</a></h2>
+<h2>Quotes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#quotes">¶</a></h2>
 <blockquote>
 <div><p>“Addition (or disjunction introduction, or or introduction) is the rule of inference that allows one to infer a disjunction from either of the disjuncts.”
 - <a class="footnote-reference brackets" href="#footcite-cook-2009-dictionaryphilosophicallogic" id="id1" role="doc-noteref"><span class="fn-bracket">[</span>1<span class="fn-bracket">]</span></a>, p8</p>
 </div></blockquote>
 </section>
 <section id="python-implementation">
-<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
+<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
 <section id="properties">
-<h3>Properties<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#properties">¶</a></h3>
+<h3>Properties<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#properties">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py">
 <em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">InferenceRuleDeclarationDict</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">u</span></span></em><span class="sig-paren">)</span></dt>
@@ -322,18 +322,18 @@ <h3>Properties<a aria-label="Click to copy this link" class="headerlink tooltipp
 </dd></dl>
 </section>
 <section id="classes">
-<h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#classes">¶</a></h3>
+<h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#classes">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionRightDeclaration">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">DisjunctionIntroductionRightDeclaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionRightDeclaration">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">DisjunctionIntroductionRightDeclaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionRightDeclaration">¶</a></dt>
 <dd><p>The declaration of the <a class="reference internal" href="#"><span class="doc">disjunction-introduction-right</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> as valid in the target <a class="reference internal" href="universe_of_discourse.html"><span class="doc">universe-of-discourse</span></a>.</p>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionRightDeclaration.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionRightDeclaration.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionRightDeclaration.__init__">¶</a></dt>
 <dd></dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionRightDeclaration.compose_paragraph_proof">
-<span class="sig-name descname"><span class="pre">compose_paragraph_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionRightDeclaration.compose_paragraph_proof">¶</a></dt>
+<span class="sig-name descname"><span class="pre">compose_paragraph_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionRightDeclaration.compose_paragraph_proof">¶</a></dt>
 <dd><p>Composes the paragraph-proof of inferred-statements based on the <a class="reference internal" href="#"><span class="doc">disjunction-introduction-right</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> .</p>
 <dl class="field-list simple">
 <dt class="field-odd">Return type<span class="colon">:</span></dt>
@@ -343,7 +343,7 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionRightDeclaration.infer_formula">
-<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionRightDeclaration.infer_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionRightDeclaration.infer_formula">¶</a></dt>
 <dd><p>Apply the <a class="reference internal" href="#"><span class="doc">disjunction-introduction-right</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> and return the resulting formula.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -361,7 +361,7 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionRightDeclaration.verify_args">
-<span class="sig-name descname"><span class="pre">verify_args</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionRightDeclaration.verify_args">¶</a></dt>
+<span class="sig-name descname"><span class="pre">verify_args</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionRightDeclaration.verify_args">¶</a></dt>
 <dd><p>Verify the correctness of the parameters provided to the <a class="reference internal" href="double_negation_introduction.html"><span class="doc">double-negation-introduction</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> .</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -379,15 +379,15 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </dd></dl>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionRightInclusion">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">DisjunctionIntroductionRightInclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionRightInclusion">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">DisjunctionIntroductionRightInclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionRightInclusion">¶</a></dt>
 <dd><dl class="py method">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionRightInclusion.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionRightInclusion.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionRightInclusion.__init__">¶</a></dt>
 <dd><p>Include (aka allow) an inference-rule in a theory-elaboration.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionRightInclusion.infer_formula">
-<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionRightInclusion.infer_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionRightInclusion.infer_formula">¶</a></dt>
 <dd><p>Apply the <a class="reference internal" href="#"><span class="doc">disjunction-introduction-right</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> and return the resulting formula.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -404,7 +404,7 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DisjunctionIntroductionRightInclusion.infer_statement">
-<span class="sig-name descname"><span class="pre">infer_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionRightInclusion.infer_statement">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DisjunctionIntroductionRightInclusion.infer_statement">¶</a></dt>
 <dd><p>Apply the <a class="reference internal" href="#"><span class="doc">disjunction-introduction-right</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> and return the resulting inferred-statement.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -427,7 +427,7 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </section>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 <div class="docutils container" id="id2">
 <aside class="footnote-list brackets">
 <aside class="footnote brackets" id="footcite-cook-2009-dictionaryphilosophicallogic" role="doc-footnote">
diff --git a/docs/build/double_negation_elimination.html b/docs/build/double_negation_elimination.html
index 64a4219d..c97b161e 100644
--- a/docs/build/double_negation_elimination.html
+++ b/docs/build/double_negation_elimination.html
@@ -271,7 +271,7 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="double-negation-elimination">
-<h1>double-negation-elimination<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#double-negation-elimination">¶</a></h1>
+<h1>double-negation-elimination<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#double-negation-elimination">¶</a></h1>
 </section>
 </article>
 <footer><div class="mt-20 mb-4 text-sm text-gray-700 print:mt-4">© 2023, David Doret Made with <a class="text-link hover:text-brand focus:text-brand hover:underline focus:underline" href="https://www.sphinx-doc.org">Sphinx 7.1.2</a></div>
diff --git a/docs/build/double_negation_introduction.html b/docs/build/double_negation_introduction.html
index 2ffa6887..227da47a 100644
--- a/docs/build/double_negation_introduction.html
+++ b/docs/build/double_negation_introduction.html
@@ -276,15 +276,15 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="double-negation-introduction">
-<h1>double-negation-introduction<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#double-negation-introduction">¶</a></h1>
+<h1>double-negation-introduction<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#double-negation-introduction">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p><em>double-negation-introduction</em> is the well-known and valid <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a>:</p>
 <div class="math notranslate nohighlight">
 \[P \vdash \lnot \left( \lnot \left( P \right) \right)\]</div>
 </section>
 <section id="quotes">
-<h2>Quotes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#quotes">¶</a></h2>
+<h2>Quotes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#quotes">¶</a></h2>
 <blockquote>
 <div><p>“The rule of double negation introduction is a valid argument in types of logic dealing with negation ¬.
 This includes propositional logic and predicate logic, and in particular natural deduction.
@@ -294,9 +294,9 @@ <h2>Quotes<a aria-label="Click to copy this link" class="headerlink tooltipped t
 </div></blockquote>
 </section>
 <section id="python-implementation">
-<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
+<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
 <section id="properties">
-<h3>Properties<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#properties">¶</a></h3>
+<h3>Properties<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#properties">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py">
 <em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">InferenceRuleDeclarationDict</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">u</span></span></em><span class="sig-paren">)</span></dt>
@@ -341,18 +341,18 @@ <h3>Properties<a aria-label="Click to copy this link" class="headerlink tooltipp
 </dd></dl>
 </section>
 <section id="classes">
-<h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#classes">¶</a></h3>
+<h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#classes">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.DoubleNegationIntroductionDeclaration">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">DoubleNegationIntroductionDeclaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DoubleNegationIntroductionDeclaration">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">DoubleNegationIntroductionDeclaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DoubleNegationIntroductionDeclaration">¶</a></dt>
 <dd><p>The declaration of the <a class="reference internal" href="#"><span class="doc">double-negation-introduction</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> as valid in the target <a class="reference internal" href="universe_of_discourse.html"><span class="doc">universe-of-discourse</span></a>.</p>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DoubleNegationIntroductionDeclaration.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DoubleNegationIntroductionDeclaration.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DoubleNegationIntroductionDeclaration.__init__">¶</a></dt>
 <dd></dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DoubleNegationIntroductionDeclaration.compose_paragraph_proof">
-<span class="sig-name descname"><span class="pre">compose_paragraph_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DoubleNegationIntroductionDeclaration.compose_paragraph_proof">¶</a></dt>
+<span class="sig-name descname"><span class="pre">compose_paragraph_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DoubleNegationIntroductionDeclaration.compose_paragraph_proof">¶</a></dt>
 <dd><p>Composes the paragraph-proof of inferred-statements based on the <a class="reference internal" href="#"><span class="doc">double-negation-introduction</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> .</p>
 <dl class="field-list simple">
 <dt class="field-odd">Return type<span class="colon">:</span></dt>
@@ -362,7 +362,7 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DoubleNegationIntroductionDeclaration.infer_formula">
-<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DoubleNegationIntroductionDeclaration.infer_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DoubleNegationIntroductionDeclaration.infer_formula">¶</a></dt>
 <dd><p>Apply the <a class="reference internal" href="#"><span class="doc">double-negation-introduction</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> and return the resulting formula.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -379,7 +379,7 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DoubleNegationIntroductionDeclaration.verify_args">
-<span class="sig-name descname"><span class="pre">verify_args</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DoubleNegationIntroductionDeclaration.verify_args">¶</a></dt>
+<span class="sig-name descname"><span class="pre">verify_args</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DoubleNegationIntroductionDeclaration.verify_args">¶</a></dt>
 <dd><p>Verify the syntactical-compatibility of input statements and return True
 if they are compatible, False otherwise.</p>
 <dl class="field-list simple">
@@ -391,16 +391,16 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </dd></dl>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.DoubleNegationIntroductionInclusion">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">DoubleNegationIntroductionInclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DoubleNegationIntroductionInclusion">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">DoubleNegationIntroductionInclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DoubleNegationIntroductionInclusion">¶</a></dt>
 <dd><p>The inclusion of the <a class="reference internal" href="#"><span class="doc">double-negation-introduction</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> as valid in the target <a class="reference internal" href="theory_elaboration_sequence.html"><span class="doc">theory-elaboration-sequence</span></a>.</p>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DoubleNegationIntroductionInclusion.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DoubleNegationIntroductionInclusion.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DoubleNegationIntroductionInclusion.__init__">¶</a></dt>
 <dd><p>Include (aka allow) an inference-rule in a theory-elaboration.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DoubleNegationIntroductionInclusion.infer_formula">
-<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DoubleNegationIntroductionInclusion.infer_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DoubleNegationIntroductionInclusion.infer_formula">¶</a></dt>
 <dd><p>Apply the <a class="reference internal" href="#"><span class="doc">double-negation-introduction</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> and return the resulting formula.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -416,7 +416,7 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.DoubleNegationIntroductionInclusion.infer_statement">
-<span class="sig-name descname"><span class="pre">infer_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DoubleNegationIntroductionInclusion.infer_statement">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.DoubleNegationIntroductionInclusion.infer_statement">¶</a></dt>
 <dd><p>Apply the <a class="reference internal" href="#"><span class="doc">double-negation-introduction</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> and return the resulting inferred-statement.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -438,7 +438,7 @@ <h3>Classes<a aria-label="Click to copy this link" class="headerlink tooltipped
 </section>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 <div class="docutils container" id="id2">
 <aside class="footnote-list brackets">
 <aside class="footnote brackets" id="footcite-proofwiki-2022-doublenegation" role="doc-footnote">
diff --git a/docs/build/elimination_rule.html b/docs/build/elimination_rule.html
index 54bfd1da..71c32f8f 100644
--- a/docs/build/elimination_rule.html
+++ b/docs/build/elimination_rule.html
@@ -271,13 +271,13 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="elimination-rule">
-<h1>elimination-rule<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#elimination-rule">¶</a></h1>
+<h1>elimination-rule<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#elimination-rule">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p>An <em>introduction-rule</em> is an <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> that allows to derive a formula-statement of some syntactic form from some define premises.</p>
 </section>
 <section id="list-of-well-known-introduction-rules">
-<h2>List of well-known <em>introduction-rules</em><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#list-of-well-known-introduction-rules">¶</a></h2>
+<h2>List of well-known <em>introduction-rules</em><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#list-of-well-known-introduction-rules">¶</a></h2>
 <ul class="simple">
 <li><p><a class="reference internal" href="biconditional_elimination_left.html"><span class="doc">biconditional-elimination-left</span></a></p></li>
 <li><p><a class="reference internal" href="biconditional_elimination_right.html"><span class="doc">biconditional-elimination-right</span></a></p></li>
@@ -288,14 +288,14 @@ <h2>List of well-known <em>introduction-rules</em><a aria-label="Click to copy t
 </ul>
 </section>
 <section id="quotes">
-<h2>Quotes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#quotes">¶</a></h2>
+<h2>Quotes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#quotes">¶</a></h2>
 <blockquote>
 <div><p>“Each of the introduction rules tells us how to derive a formula of some syntactic form. For instance, the conjunction introduction rule (∧I) shows that we can derive a conjunction if we derive both conjunctive terms; the disjunction introduction rules (∨I) show that we can derive a disjunction if we derive one of the disjunctive terms.”
 - <a class="footnote-reference brackets" href="#footcite-porter-2008-handbookknowledgerepresentation" id="id1" role="doc-noteref"><span class="fn-bracket">[</span>1<span class="fn-bracket">]</span></a>, p. 6-7</p>
 </div></blockquote>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 <div class="docutils container" id="id2">
 <aside class="footnote-list brackets">
 <aside class="footnote brackets" id="footcite-porter-2008-handbookknowledgerepresentation" role="doc-footnote">
diff --git a/docs/build/formula_statement.html b/docs/build/formula_statement.html
index 59bf97aa..fc8a3ed4 100644
--- a/docs/build/formula_statement.html
+++ b/docs/build/formula_statement.html
@@ -271,7 +271,7 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="formula-statement">
-<h1>formula-statement<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#formula-statement">¶</a></h1>
+<h1>formula-statement<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#formula-statement">¶</a></h1>
 </section>
 </article>
 <footer><div class="mt-20 mb-4 text-sm text-gray-700 print:mt-4">© 2023, David Doret Made with <a class="text-link hover:text-brand focus:text-brand hover:underline focus:underline" href="https://www.sphinx-doc.org">Sphinx 7.1.2</a></div>
diff --git a/docs/build/hypothesis.html b/docs/build/hypothesis.html
index 63a7e386..656cbe8a 100644
--- a/docs/build/hypothesis.html
+++ b/docs/build/hypothesis.html
@@ -271,7 +271,7 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="hypothesis">
-<h1>hypothesis<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#hypothesis">¶</a></h1>
+<h1>hypothesis<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#hypothesis">¶</a></h1>
 </section>
 </article>
 <footer><div class="mt-20 mb-4 text-sm text-gray-700 print:mt-4">© 2023, David Doret Made with <a class="text-link hover:text-brand focus:text-brand hover:underline focus:underline" href="https://www.sphinx-doc.org">Sphinx 7.1.2</a></div>
diff --git a/docs/build/inconsistency_by_inequality.html b/docs/build/inconsistency_by_inequality.html
index 1892efd6..40baaf1d 100644
--- a/docs/build/inconsistency_by_inequality.html
+++ b/docs/build/inconsistency_by_inequality.html
@@ -23,22 +23,22 @@
 <div class="bodywrapper">
 <div class="body" role="main">
 <section id="inconsistency-by-inequality-introduction">
-<h1>inconsistency-by-inequality-introduction<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#inconsistency-by-inequality-introduction">¶</a></h1>
+<h1>inconsistency-by-inequality-introduction<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#inconsistency-by-inequality-introduction">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p><em>inconsistency-by-inequality-introduction</em> is the <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a>:</p>
 <div class="math notranslate nohighlight">
 \[\left(\left(x = y\right) \land \left(x \neq y\right)\right) \vdash Inc\left(\mathcal{T}\right)\]</div>
 </section>
 <section id="quotes">
-<h2>Quotes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#quotes">¶</a></h2>
+<h2>Quotes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#quotes">¶</a></h2>
 <blockquote>
 <div><p>“A proof of consistency will have to show, by appealing to contentual considerations which are completely unproblematic, that in the formalism in question it is never possible to derive the formula 𝑎 ≠ 𝑎, or alternatively it is not possible to prove both 𝑎 = 𝑏 and 𝑎 ≠ 𝑏.”
 - <a class="footnote-reference brackets" href="#footcite-mancosu-2021" id="id1" role="doc-noteref"><span class="fn-bracket">[</span>1<span class="fn-bracket">]</span></a></p>
 </div></blockquote>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 <div class="docutils container" id="id2">
 <aside class="footnote-list brackets">
 <aside class="footnote brackets" id="footcite-mancosu-2021" role="doc-footnote">
diff --git a/docs/build/inconsistency_by_inequality_introduction.html b/docs/build/inconsistency_by_inequality_introduction.html
index 16ed0aa0..4ab26779 100644
--- a/docs/build/inconsistency_by_inequality_introduction.html
+++ b/docs/build/inconsistency_by_inequality_introduction.html
@@ -262,22 +262,22 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="inconsistency-by-inequality-introduction">
-<h1>inconsistency-by-inequality-introduction<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#inconsistency-by-inequality-introduction">¶</a></h1>
+<h1>inconsistency-by-inequality-introduction<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#inconsistency-by-inequality-introduction">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p><em>inconsistency-by-inequality-introduction</em> is the <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a>:</p>
 <div class="math notranslate nohighlight">
 \[\left(\left(x = y\right) \land \left(x \neq y\right)\right) \vdash Inc\left(\mathcal{T}\right)\]</div>
 </section>
 <section id="quotes">
-<h2>Quotes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#quotes">¶</a></h2>
+<h2>Quotes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#quotes">¶</a></h2>
 <blockquote>
 <div><p>“A proof of consistency will have to show, by appealing to contentual considerations which are completely unproblematic, that in the formalism in question it is never possible to derive the formula 𝑎 ≠ 𝑎, or alternatively it is not possible to prove both 𝑎 = 𝑏 and 𝑎 ≠ 𝑏.”
 - <a class="footnote-reference brackets" href="#footcite-proofwiki-2022-doublenegation" id="id1" role="doc-noteref"><span class="fn-bracket">[</span>1<span class="fn-bracket">]</span></a></p>
 </div></blockquote>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 <div class="docutils container" id="id2">
 <aside class="footnote-list brackets">
 <aside class="footnote brackets" id="footcite-proofwiki-2022-doublenegation" role="doc-footnote">
diff --git a/docs/build/inconsistency_by_inequality_math_object.html b/docs/build/inconsistency_by_inequality_math_object.html
index 692a4712..5bf2c4b7 100644
--- a/docs/build/inconsistency_by_inequality_math_object.html
+++ b/docs/build/inconsistency_by_inequality_math_object.html
@@ -22,16 +22,16 @@
 <div class="bodywrapper">
 <div class="body" role="main">
 <section id="inconsistency-by-inequality-introduction-inference-rule">
-<h1>inconsistency-by-inequality-introduction (inference-rule)<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#inconsistency-by-inequality-introduction-inference-rule">¶</a></h1>
+<h1>inconsistency-by-inequality-introduction (inference-rule)<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#inconsistency-by-inequality-introduction-inference-rule">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p><em>inconsistency-by-inequality-introduction</em> is the <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule (mathematical object)</span></a>:</p>
 <div class="math notranslate nohighlight">
 \[ \begin{align}\begin{aligned}\left(P \implies Q\right) \vdash \left(P \implies P \land Q\right)\\
 A proof of consistency will have to show, by appealing to contentual considerations which are completely unproblematic, that in the formalism in question it is never possible to derive the formula 𝑎 ≠ 𝑎, or alternatively it is not possible to prove both 𝑎 = 𝑏 and 𝑎 ≠ 𝑏. :footcite:p:`astorino_2010`\end{aligned}\end{align} \]</div>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 </section>
 </section>
 </div>
diff --git a/docs/build/inconsistency_introduction_1.html b/docs/build/inconsistency_introduction_1.html
index d380a58d..dccea8a2 100644
--- a/docs/build/inconsistency_introduction_1.html
+++ b/docs/build/inconsistency_introduction_1.html
@@ -319,7 +319,8 @@ <h2>Python sample usage<a aria-label="Click to copy this link" class="headerlink
 <span class="linenos">25</span><span class="n">pu</span><span class="o">.</span><span class="n">configuration</span><span class="o">.</span><span class="n">echo_proof</span> <span class="o">=</span> <span class="kc">True</span>
 <span class="linenos">26</span>
 <span class="linenos">27</span><span class="c1"># And finally, use the inconsistency-introduction-1 inference-rule:</span>
-<span class="linenos">28</span><span class="n">t2</span><span class="o">.</span><span class="n">i</span><span class="o">.</span><span class="n">inconsistency_introduction_1</span><span class="o">.</span><span class="n">infer_statement</span><span class="p">(</span><span class="n">p</span><span class="o">=</span><span class="n">p</span><span class="p">,</span> <span class="n">not_p</span><span class="o">=</span><span class="n">not_p</span><span class="p">,</span> <span class="n">inconsistent_theory</span><span class="o">=</span><span class="n">t1</span><span class="p">)</span>
+<span class="linenos">28</span><span class="n">inc_proof</span> <span class="o">=</span> <span class="n">t2</span><span class="o">.</span><span class="n">i</span><span class="o">.</span><span class="n">inconsistency_introduction_1</span><span class="o">.</span><span class="n">infer_statement</span><span class="p">(</span><span class="n">p</span><span class="o">=</span><span class="n">p</span><span class="p">,</span> <span class="n">not_p</span><span class="o">=</span><span class="n">not_p</span><span class="p">,</span>
+<span class="linenos">29</span>    <span class="n">inconsistent_theory</span><span class="o">=</span><span class="n">t1</span><span class="p">)</span>
 </code></pre></div>
 </div></div>
 </div></blockquote>
diff --git a/docs/build/inconsistency_introduction_2.html b/docs/build/inconsistency_introduction_2.html
index d27d2227..1d5093df 100644
--- a/docs/build/inconsistency_introduction_2.html
+++ b/docs/build/inconsistency_introduction_2.html
@@ -321,7 +321,7 @@ <h2>Python sample usage<a aria-label="Click to copy this link" class="headerlink
 <span class="linenos">24</span><span class="n">pu</span><span class="o">.</span><span class="n">configuration</span><span class="o">.</span><span class="n">echo_proof</span> <span class="o">=</span> <span class="kc">True</span>
 <span class="linenos">25</span>
 <span class="linenos">26</span><span class="c1"># And finally, use the inconsistency-introduction-2 inference-rule:</span>
-<span class="linenos">27</span><span class="n">t2</span><span class="o">.</span><span class="n">i</span><span class="o">.</span><span class="n">inconsistency_introduction_2</span><span class="o">.</span><span class="n">infer_statement</span><span class="p">(</span><span class="n">p_eq_q</span><span class="o">=</span><span class="n">p_eq_q</span><span class="p">,</span> <span class="n">p_neq_q</span><span class="o">=</span><span class="n">p_neq_q</span><span class="p">,</span>
+<span class="linenos">27</span><span class="n">inc_proof</span> <span class="o">=</span> <span class="n">t2</span><span class="o">.</span><span class="n">i</span><span class="o">.</span><span class="n">inconsistency_introduction_2</span><span class="o">.</span><span class="n">infer_statement</span><span class="p">(</span><span class="n">p_eq_q</span><span class="o">=</span><span class="n">p_eq_q</span><span class="p">,</span> <span class="n">p_neq_q</span><span class="o">=</span><span class="n">p_neq_q</span><span class="p">,</span>
 <span class="linenos">28</span>    <span class="n">inconsistent_theory</span><span class="o">=</span><span class="n">t1</span><span class="p">)</span>
 </code></pre></div>
 </div></div>
diff --git a/docs/build/inconsistency_introduction_3.html b/docs/build/inconsistency_introduction_3.html
index b0d5c181..41b34cee 100644
--- a/docs/build/inconsistency_introduction_3.html
+++ b/docs/build/inconsistency_introduction_3.html
@@ -319,7 +319,8 @@ <h2>Python sample usage<a aria-label="Click to copy this link" class="headerlink
 <span class="linenos">22</span><span class="n">pu</span><span class="o">.</span><span class="n">configuration</span><span class="o">.</span><span class="n">echo_proof</span> <span class="o">=</span> <span class="kc">True</span>
 <span class="linenos">23</span>
 <span class="linenos">24</span><span class="c1"># And finally, use the inconsistency-introduction-2 inference-rule:</span>
-<span class="linenos">25</span><span class="n">t2</span><span class="o">.</span><span class="n">i</span><span class="o">.</span><span class="n">inconsistency_introduction_3</span><span class="o">.</span><span class="n">infer_statement</span><span class="p">(</span><span class="n">p_neq_p</span><span class="o">=</span><span class="n">p_neq_p</span><span class="p">,</span> <span class="n">inconsistent_theory</span><span class="o">=</span><span class="n">t1</span><span class="p">)</span>
+<span class="linenos">25</span><span class="n">inc_proof</span> <span class="o">=</span> <span class="n">t2</span><span class="o">.</span><span class="n">i</span><span class="o">.</span><span class="n">inconsistency_introduction_3</span><span class="o">.</span><span class="n">infer_statement</span><span class="p">(</span><span class="n">p_neq_p</span><span class="o">=</span><span class="n">p_neq_p</span><span class="p">,</span>
+<span class="linenos">26</span>    <span class="n">inconsistent_theory</span><span class="o">=</span><span class="n">t1</span><span class="p">)</span>
 </code></pre></div>
 </div></div>
 </div></blockquote>
diff --git a/docs/build/inference-rule.html b/docs/build/inference-rule.html
index 36a0c656..9dbe050a 100644
--- a/docs/build/inference-rule.html
+++ b/docs/build/inference-rule.html
@@ -21,27 +21,27 @@
 <div class="bodywrapper">
 <div class="body" role="main">
 <section id="inference-rules">
-<span id="inference-rule"></span><span id="id1"></span><h1>inference-rule<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#inference-rules">¶</a></h1>
+<span id="inference-rule"></span><span id="id1"></span><h1>inference-rule<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#inference-rules">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p>An <a class="reference internal" href="#inference-rule">inference-rule</a> is a syntactical transform rule which allow to infer a valid-statement
 from
 some premises.</p>
 </section>
 <section id="synonyms">
-<h2>Synonyms<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#synonyms">¶</a></h2>
+<h2>Synonyms<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#synonyms">¶</a></h2>
 <ul class="simple">
 <li><p>Derivation rule</p></li>
 </ul>
 </section>
 <section id="see-also">
-<h2>See also<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#see-also">¶</a></h2>
+<h2>See also<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#see-also">¶</a></h2>
 <ul class="simple">
 <li><p>Derivation rule</p></li>
 </ul>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 <ul class="simple">
 <li><p>Derivation rule. Encyclopedia of Mathematics.
 URL: <a class="reference external" href="http://encyclopediaofmath.org/index.php?title=Derivation_rule&amp;oldid=33737" rel="nofollow noopener">http://encyclopediaofmath.org/index.php?title=Derivation_rule&amp;oldid=33737</a></p></li>
diff --git a/docs/build/inference_rule.html b/docs/build/inference_rule.html
index 988a519a..dd4cfdb2 100644
--- a/docs/build/inference_rule.html
+++ b/docs/build/inference_rule.html
@@ -271,34 +271,34 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="inference-rule">
-<h1>inference-rule<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#inference-rule">¶</a></h1>
+<h1>inference-rule<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#inference-rule">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p>An <em>inference-rule</em> is a syntactic transformation rule which allows to infer a valid statement
 from some premises.</p>
 </section>
 <section id="synonyms">
-<h2>Synonyms<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#synonyms">¶</a></h2>
+<h2>Synonyms<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#synonyms">¶</a></h2>
 <ul class="simple">
 <li><p>Derivation rule</p></li>
 </ul>
 </section>
 <section id="list-of-well-known-inference-rules">
-<h2>List of well-known inference-rules<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#list-of-well-known-inference-rules">¶</a></h2>
+<h2>List of well-known inference-rules<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#list-of-well-known-inference-rules">¶</a></h2>
 <ul class="simple">
 <li><p><a class="reference internal" href="absorption.html"><span class="doc">absorption</span></a></p></li>
 <li><p><span class="xref std std-doc">inconsistency_by_inequality_introduction</span></p></li>
 </ul>
 </section>
 <section id="see-also">
-<h2>See also<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#see-also">¶</a></h2>
+<h2>See also<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#see-also">¶</a></h2>
 <ul class="simple">
 <li><p><a class="reference internal" href="elimination_rule.html"><span class="doc">elimination-rule</span></a></p></li>
 <li><p><a class="reference internal" href="introduction_rule.html"><span class="doc">introduction-rule</span></a></p></li>
 </ul>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 <ul class="simple">
 <li><p>Derivation rule. Encyclopedia of Mathematics.
 URL: <a class="reference external" href="http://encyclopediaofmath.org/index.php?title=Derivation_rule&amp;oldid=33737" rel="nofollow noopener">http://encyclopediaofmath.org/index.php?title=Derivation_rule&amp;oldid=33737</a></p></li>
diff --git a/docs/build/inference_rule_math_object.html b/docs/build/inference_rule_math_object.html
index 450b8490..58965098 100644
--- a/docs/build/inference_rule_math_object.html
+++ b/docs/build/inference_rule_math_object.html
@@ -21,32 +21,32 @@
 <div class="bodywrapper">
 <div class="body" role="main">
 <section id="inference-rule-mathematical-object">
-<h1>inference-rule (mathematical object)<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#inference-rule-mathematical-object">¶</a></h1>
+<h1>inference-rule (mathematical object)<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#inference-rule-mathematical-object">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p>An <em>inference-rule</em> is a syntactic transformation rule which allows to infer a valid statement
 from some premises.</p>
 </section>
 <section id="synonyms">
-<h2>Synonyms<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#synonyms">¶</a></h2>
+<h2>Synonyms<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#synonyms">¶</a></h2>
 <ul class="simple">
 <li><p>Derivation rule</p></li>
 </ul>
 </section>
 <section id="list-of-well-known-inference-rules">
-<h2>List of well-known inference-rules<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#list-of-well-known-inference-rules">¶</a></h2>
+<h2>List of well-known inference-rules<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#list-of-well-known-inference-rules">¶</a></h2>
 <ul class="simple">
 <li><p><a class="reference internal" href="absorption_math_object.html"><span class="doc">absorption (inference-rule)</span></a></p></li>
 </ul>
 </section>
 <section id="see-also">
-<h2>See also<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#see-also">¶</a></h2>
+<h2>See also<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#see-also">¶</a></h2>
 <ul class="simple">
 <li><p>Derivation rule</p></li>
 </ul>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 <ul class="simple">
 <li><p>Derivation rule. Encyclopedia of Mathematics.
 URL: <a class="reference external" href="http://encyclopediaofmath.org/index.php?title=Derivation_rule&amp;oldid=33737" rel="nofollow noopener">http://encyclopediaofmath.org/index.php?title=Derivation_rule&amp;oldid=33737</a></p></li>
diff --git a/docs/build/introduction_rule.html b/docs/build/introduction_rule.html
index 7c932ca2..c9d62a0a 100644
--- a/docs/build/introduction_rule.html
+++ b/docs/build/introduction_rule.html
@@ -271,13 +271,13 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="introduction-rule">
-<h1>introduction-rule<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#introduction-rule">¶</a></h1>
+<h1>introduction-rule<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#introduction-rule">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p>An <em>introduction-rule</em> is an <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> that allows to derive a formula-statement of some syntactic form from some define premises.</p>
 </section>
 <section id="list-of-well-known-introduction-rules">
-<h2>List of well-known <em>introduction-rules</em><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#list-of-well-known-introduction-rules">¶</a></h2>
+<h2>List of well-known <em>introduction-rules</em><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#list-of-well-known-introduction-rules">¶</a></h2>
 <ul class="simple">
 <li><p><a class="reference internal" href="biconditional_introduction.html"><span class="doc">biconditional-introduction</span></a></p></li>
 <li><p><a class="reference internal" href="conjunction_introduction.html"><span class="doc">conjunction-introduction</span></a></p></li>
@@ -287,21 +287,21 @@ <h2>List of well-known <em>introduction-rules</em><a aria-label="Click to copy t
 </ul>
 </section>
 <section id="quotes">
-<h2>Quotes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#quotes">¶</a></h2>
+<h2>Quotes<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#quotes">¶</a></h2>
 <blockquote>
 <div><p>“Each of the introduction rules tells us how to derive a formula of some syntactic form. For instance, the conjunction introduction rule (∧I) shows that we can derive a conjunction if we derive both conjunctive terms; the disjunction introduction rules (∨I) show that we can derive a disjunction if we derive one of the disjunctive terms.”
 - <a class="footnote-reference brackets" href="#footcite-porter-2008-handbookknowledgerepresentation" id="id1" role="doc-noteref"><span class="fn-bracket">[</span>1<span class="fn-bracket">]</span></a>, p. 6-7</p>
 </div></blockquote>
 </section>
 <section id="see-also">
-<h2>See also<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#see-also">¶</a></h2>
+<h2>See also<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#see-also">¶</a></h2>
 <ul class="simple">
 <li><p><a class="reference internal" href="elimination_rule.html"><span class="doc">elimination-rule</span></a></p></li>
 <li><p><a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a></p></li>
 </ul>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 <div class="docutils container" id="id2">
 <aside class="footnote-list brackets">
 <aside class="footnote brackets" id="footcite-porter-2008-handbookknowledgerepresentation" role="doc-footnote">
diff --git a/docs/build/is_a.html b/docs/build/is_a.html
index 8242d4ba..1b9b3eca 100644
--- a/docs/build/is_a.html
+++ b/docs/build/is_a.html
@@ -276,30 +276,30 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="is-a">
-<h1>is-a<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#is-a">¶</a></h1>
+<h1>is-a<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#is-a">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p>In punctilious, <em>is-a</em> is a binary relation used to denote that an object belongs to an arbitrary collection of objects.</p>
 <p>It is a design choice to not use the symbol <span class="math notranslate nohighlight">\(\in\)</span> to distinguish this loose concept from membership of sets or classes.</p>
 </section>
 <section id="python-implementation">
-<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
+<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
 <section id="id1">
-<h3>is_a<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#id1">¶</a></h3>
+<h3>is_a<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#id1">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.RelationDict">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">RelationDict</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">u</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.RelationDict">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">RelationDict</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">u</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.RelationDict">¶</a></dt>
 <dd><p>A dictionary that exposes well-known relations as properties.</p>
 <dl class="py property">
 <dt class="sig sig-object py" id="core.RelationDict.is_a">
-<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">is_a</span></span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.RelationDict.is_a">¶</a></dt>
+<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">is_a</span></span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.RelationDict.is_a">¶</a></dt>
 <dd><p>XXXXXXX</p>
 </dd></dl>
 </dd></dl>
 </section>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 <ul class="simple">
 <li></li>
 </ul>
diff --git a/docs/build/meta_object.html b/docs/build/meta_object.html
index c8366458..dda1df0d 100644
--- a/docs/build/meta_object.html
+++ b/docs/build/meta_object.html
@@ -276,13 +276,13 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="meta-object">
-<h1>meta-object<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#meta-object">¶</a></h1>
+<h1>meta-object<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#meta-object">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p><em>meta-object</em></p>
 </section>
 <section id="list">
-<h2>List<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#list">¶</a></h2>
+<h2>List<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#list">¶</a></h2>
 <dl class="py class">
 <dt class="sig sig-object py">
 <em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">SimpleObjctDict</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">u</span></span></em><span class="sig-paren">)</span></dt>
@@ -296,7 +296,7 @@ <h2>List<a aria-label="Click to copy this link" class="headerlink tooltipped too
 </dd></dl>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 </section>
 </section>
 </article>
diff --git a/docs/build/modus_ponens.html b/docs/build/modus_ponens.html
index 6ca031d4..4969a219 100644
--- a/docs/build/modus_ponens.html
+++ b/docs/build/modus_ponens.html
@@ -276,28 +276,28 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="modus-ponens">
-<h1>modus-ponens<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#modus-ponens">¶</a></h1>
+<h1>modus-ponens<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#modus-ponens">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p><em>modus-ponens</em> is the well-known and valid <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> in propositional-logic:</p>
 <div class="math notranslate nohighlight">
 \[\left( \left(P \implies Q\right) \land P \right) \vdash Q\]</div>
 </section>
 <section id="python-implementation">
-<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
+<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
 <section id="modusponensdeclaration">
-<h3>ModusPonensDeclaration<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#modusponensdeclaration">¶</a></h3>
+<h3>ModusPonensDeclaration<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#modusponensdeclaration">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.ModusPonensDeclaration">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">ModusPonensDeclaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ModusPonensDeclaration">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">ModusPonensDeclaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ModusPonensDeclaration">¶</a></dt>
 <dd><p>The declaration of the <a class="reference internal" href="#"><span class="doc">modus-ponens</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> in a <a class="reference internal" href="universe_of_discourse.html"><span class="doc">universe-of-discourse</span></a>.</p>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ModusPonensDeclaration.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ModusPonensDeclaration.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ModusPonensDeclaration.__init__">¶</a></dt>
 <dd></dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ModusPonensDeclaration.compose_paragraph_proof">
-<span class="sig-name descname"><span class="pre">compose_paragraph_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ModusPonensDeclaration.compose_paragraph_proof">¶</a></dt>
+<span class="sig-name descname"><span class="pre">compose_paragraph_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ModusPonensDeclaration.compose_paragraph_proof">¶</a></dt>
 <dd><p>This method should be overridden by specialized inference-rule classes to provide accurate proofs.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Return type<span class="colon">:</span></dt>
@@ -307,7 +307,7 @@ <h3>ModusPonensDeclaration<a aria-label="Click to copy this link" class="headerl
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ModusPonensDeclaration.infer_formula">
-<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_implies_q</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ModusPonensDeclaration.infer_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_implies_q</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ModusPonensDeclaration.infer_formula">¶</a></dt>
 <dd><dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
 <dd class="field-odd"><ul class="simple">
@@ -322,7 +322,7 @@ <h3>ModusPonensDeclaration<a aria-label="Click to copy this link" class="headerl
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ModusPonensDeclaration.verify_args">
-<span class="sig-name descname"><span class="pre">verify_args</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_implies_q</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ModusPonensDeclaration.verify_args">¶</a></dt>
+<span class="sig-name descname"><span class="pre">verify_args</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_implies_q</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ModusPonensDeclaration.verify_args">¶</a></dt>
 <dd><dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
 <dd class="field-odd"><ul class="simple">
@@ -341,19 +341,19 @@ <h3>ModusPonensDeclaration<a aria-label="Click to copy this link" class="headerl
 </dd></dl>
 </section>
 <section id="modusponensinclusion">
-<h3>ModusPonensInclusion<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#modusponensinclusion">¶</a></h3>
+<h3>ModusPonensInclusion<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#modusponensinclusion">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.ModusPonensInclusion">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">ModusPonensInclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ModusPonensInclusion">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">ModusPonensInclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ModusPonensInclusion">¶</a></dt>
 <dd><p>The inclusion of <a class="reference internal" href="#"><span class="doc">modus-ponens</span></a> as a valid <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> in a <a class="reference internal" href="theory_elaboration_sequence.html"><span class="doc">theory-elaboration-sequence</span></a>.</p>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ModusPonensInclusion.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ModusPonensInclusion.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ModusPonensInclusion.__init__">¶</a></dt>
 <dd><p>Include (aka allow) an inference-rule in a theory-elaboration.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ModusPonensInclusion.infer_formula">
-<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_implies_q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ModusPonensInclusion.infer_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_implies_q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ModusPonensInclusion.infer_formula">¶</a></dt>
 <dd><p>Apply the modus-ponens inference-rule and return the inferred-formula.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -369,7 +369,7 @@ <h3>ModusPonensInclusion<a aria-label="Click to copy this link" class="headerlin
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ModusPonensInclusion.infer_statement">
-<span class="sig-name descname"><span class="pre">infer_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_implies_q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ModusPonensInclusion.infer_statement">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_implies_q</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ModusPonensInclusion.infer_statement">¶</a></dt>
 <dd><p>Apply the modus-ponens inference-rule and return the inferred-statement.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -387,7 +387,7 @@ <h3>ModusPonensInclusion<a aria-label="Click to copy this link" class="headerlin
 </section>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 </section>
 </section>
 </article>
diff --git a/docs/build/notation_form.html b/docs/build/notation_form.html
index 0555a44a..4c4d8acf 100644
--- a/docs/build/notation_form.html
+++ b/docs/build/notation_form.html
@@ -271,13 +271,13 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="notation-form">
-<h1>notation-form<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#notation-form">¶</a></h1>
+<h1>notation-form<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#notation-form">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p><em>notation-form</em></p>
 </section>
 <section id="list">
-<h2>List<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#list">¶</a></h2>
+<h2>List<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#list">¶</a></h2>
 <dl class="simple">
 <dt>The following <em>notation-forms</em> are supported by punctilious:</dt><dd><ul class="simple">
 <li><p>function-call</p></li>
@@ -289,7 +289,7 @@ <h2>List<a aria-label="Click to copy this link" class="headerlink tooltipped too
 </dl>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 </section>
 </section>
 </article>
diff --git a/docs/build/paragraph_proof.html b/docs/build/paragraph_proof.html
index a5e51a77..f5c8dad9 100644
--- a/docs/build/paragraph_proof.html
+++ b/docs/build/paragraph_proof.html
@@ -271,13 +271,13 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="paragraph-proof-proof-style">
-<h1>paragraph-proof (proof-style)<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#paragraph-proof-proof-style">¶</a></h1>
+<h1>paragraph-proof (proof-style)<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#paragraph-proof-proof-style">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p><em>paragraph-proof</em> is a style-of-proof that presents the proof as a single paragraph of text detailing its steps, their justification, and the proof conclusion. <a class="footnote-reference brackets" href="#footcite-astorino-2010" id="id1" role="doc-noteref"><span class="fn-bracket">[</span>1<span class="fn-bracket">]</span></a></p>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 <div class="docutils container" id="id2">
 <aside class="footnote-list brackets">
 <aside class="footnote brackets" id="footcite-astorino-2010" role="doc-footnote">
diff --git a/docs/build/proof_by_contradiction_1.html b/docs/build/proof_by_contradiction_1.html
index 8e8c2571..8b465b4c 100644
--- a/docs/build/proof_by_contradiction_1.html
+++ b/docs/build/proof_by_contradiction_1.html
@@ -276,18 +276,18 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="proof-by-contradiction-1">
-<h1>proof-by-contradiction-1<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#proof-by-contradiction-1">¶</a></h1>
+<h1>proof-by-contradiction-1<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#proof-by-contradiction-1">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p><em>proof-by-contradiction-1</em> is the <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a>:</p>
 <div class="math notranslate nohighlight">
 \[\left( \mathcal{H} assume \not \mathbf{P}, Inc\left(\mathcal{H}\right)  \right) \vdash \mathbf{P}\]</div>
 </section>
 <section id="python-implementation">
-<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
+<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
 <section id="sample-usage">
-<h3>Sample usage<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#sample-usage">¶</a></h3>
-<div class="literal-block-wrapper"><div class="code-block-caption"><span class="code-lang">python</span><span class="code-lang">python</span></div><div class="highlight-python notranslate"><div class="highlight" data-controller="code"><pre><span></span><code><span class="kn">import</span> <span class="nn">punctilious</span> <span class="k">as</span> <span class="nn">pu</span>
+<h3>Sample usage<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#sample-usage">¶</a></h3>
+<div class="literal-block-wrapper"><div class="code-block-caption"><span class="code-lang">python</span><span class="code-lang">python</span><span class="code-lang">python</span></div><div class="highlight-python notranslate"><div class="highlight" data-controller="code"><pre><span></span><code><span class="kn">import</span> <span class="nn">punctilious</span> <span class="k">as</span> <span class="nn">pu</span>
 
 <span class="n">pu</span><span class="o">.</span><span class="n">configuration</span><span class="o">.</span><span class="n">encoding</span> <span class="o">=</span> <span class="n">pu</span><span class="o">.</span><span class="n">encodings</span><span class="o">.</span><span class="n">unicode</span>
 <span class="n">pu</span><span class="o">.</span><span class="n">configuration</span><span class="o">.</span><span class="n">echo_default</span> <span class="o">=</span> <span class="kc">False</span>
@@ -324,7 +324,7 @@ <h3>Sample usage<a aria-label="Click to copy this link" class="headerlink toolti
     <span class="n">subtitle</span><span class="o">=</span><span class="s1">'And finally applying the proof-by-contradiction-1'</span><span class="p">)</span>
 </code></pre></div>
 </div></div>
-<div class="literal-block-wrapper"><div class="code-block-caption"><span class="code-lang">text</span><span class="code-lang">text</span></div><div class="highlight-text notranslate"><div class="highlight" data-controller="code"><pre><span></span><code>punctilious: package initialized. welcome!
+<div class="literal-block-wrapper"><div class="code-block-caption"><span class="code-lang">text</span><span class="code-lang">text</span><span class="code-lang">text</span></div><div class="highlight-text notranslate"><div class="highlight" data-controller="code"><pre><span></span><code>punctilious: package initialized. welcome!
 𝖫𝖾𝗍 ⌜𝒰₁⌝ 𝖻𝖾 𝖺 𝑢𝑛𝑖𝑣𝑒𝑟𝑠𝑒-𝑜𝑓-𝑑𝑖𝑠𝑐𝑜𝑢𝑟𝑠𝑒.
 
 𝖫𝖾𝗍 ⌜𝒯₁⌝ 𝖻𝖾 𝖺 𝑡ℎ𝑒𝑜𝑟𝑦-𝑒𝑙𝑎𝑏𝑜𝑟𝑎𝑡𝑖𝑜𝑛-𝑠𝑒𝑞𝑢𝑒𝑛𝑐𝑒 𝗂𝗇 𝒰₁.
@@ -359,17 +359,17 @@ <h3>Sample usage<a aria-label="Click to copy this link" class="headerlink toolti
 </div></div>
 </section>
 <section id="documentation">
-<h3>Documentation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#documentation">¶</a></h3>
+<h3>Documentation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#documentation">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.InferenceRuleInclusionDict">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">InferenceRuleInclusionDict</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.InferenceRuleInclusionDict">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">InferenceRuleInclusionDict</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.InferenceRuleInclusionDict">¶</a></dt>
 <dd><p>The repository of inference-rules included in a theory. In complement, this object exposes
 well-known inference-rules as easily accessible python properties. Accessing these properties
 automatically include (aka recognizes as well-founded and valid) the corresponding
 inference-rule in the current theory.</p>
 <dl class="py property">
 <dt class="sig sig-object py" id="core.InferenceRuleInclusionDict.proof_by_contradiction_1">
-<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">proof_by_contradiction_1</span></span><em class="property"><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="pre">ProofByContradiction1Inclusion</span></em><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.InferenceRuleInclusionDict.proof_by_contradiction_1">¶</a></dt>
+<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">proof_by_contradiction_1</span></span><em class="property"><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="pre">ProofByContradiction1Inclusion</span></em><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.InferenceRuleInclusionDict.proof_by_contradiction_1">¶</a></dt>
 <dd><p>Abridged property: u.i.pbc</p>
 <p>If the well-known inference-rule does not exist in the universe-of-discourse,
 the inference-rule is automatically declared.</p>
@@ -378,7 +378,7 @@ <h3>Documentation<a aria-label="Click to copy this link" class="headerlink toolt
 </section>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 </section>
 </section>
 </article>
diff --git a/docs/build/proof_by_contradiction_2.html b/docs/build/proof_by_contradiction_2.html
index 8d5f22f4..676f1ce5 100644
--- a/docs/build/proof_by_contradiction_2.html
+++ b/docs/build/proof_by_contradiction_2.html
@@ -276,27 +276,27 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="proof-by-contradiction-2">
-<h1>proof-by-contradiction-2<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#proof-by-contradiction-2">¶</a></h1>
+<h1>proof-by-contradiction-2<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#proof-by-contradiction-2">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p><em>proof-by-contradiction-2</em> is the <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a>:</p>
 <div class="math notranslate nohighlight">
 \[\left( \mathcal{H} assume \not \mathbf{P}, Inc\left(\mathcal{H}\right)  \right) \vdash \mathbf{P}\]</div>
 </section>
 <section id="python-implementation">
-<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
+<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
 <section id="proofbycontradiction2declaration">
-<h3>ProofByContradiction2Declaration<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#proofbycontradiction2declaration">¶</a></h3>
+<h3>ProofByContradiction2Declaration<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#proofbycontradiction2declaration">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.ProofByContradiction2Declaration">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">ProofByContradiction2Declaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByContradiction2Declaration">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">ProofByContradiction2Declaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByContradiction2Declaration">¶</a></dt>
 <dd><dl class="py method">
 <dt class="sig sig-object py" id="core.ProofByContradiction2Declaration.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByContradiction2Declaration.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByContradiction2Declaration.__init__">¶</a></dt>
 <dd></dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ProofByContradiction2Declaration.compose_paragraph_proof">
-<span class="sig-name descname"><span class="pre">compose_paragraph_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByContradiction2Declaration.compose_paragraph_proof">¶</a></dt>
+<span class="sig-name descname"><span class="pre">compose_paragraph_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByContradiction2Declaration.compose_paragraph_proof">¶</a></dt>
 <dd><p>This method should be overridden by specialized inference-rule classes to provide accurate proofs.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Return type<span class="colon">:</span></dt>
@@ -306,12 +306,12 @@ <h3>ProofByContradiction2Declaration<a aria-label="Click to copy this link" clas
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ProofByContradiction2Declaration.infer_formula">
-<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_neq_q_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByContradiction2Declaration.infer_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_neq_q_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByContradiction2Declaration.infer_formula">¶</a></dt>
 <dd><p>Apply this inference-rules on input statements and return the resulting statement.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ProofByContradiction2Declaration.verify_args">
-<span class="sig-name descname"><span class="pre">verify_args</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_neq_q_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByContradiction2Declaration.verify_args">¶</a></dt>
+<span class="sig-name descname"><span class="pre">verify_args</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_neq_q_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByContradiction2Declaration.verify_args">¶</a></dt>
 <dd><dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
 <dd class="field-odd"><ul class="simple">
@@ -329,18 +329,18 @@ <h3>ProofByContradiction2Declaration<a aria-label="Click to copy this link" clas
 </dd></dl>
 </section>
 <section id="proofbycontradiction2inclusion">
-<h3>ProofByContradiction2Inclusion<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#proofbycontradiction2inclusion">¶</a></h3>
+<h3>ProofByContradiction2Inclusion<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#proofbycontradiction2inclusion">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.ProofByContradiction2Inclusion">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">ProofByContradiction2Inclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByContradiction2Inclusion">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">ProofByContradiction2Inclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByContradiction2Inclusion">¶</a></dt>
 <dd><dl class="py method">
 <dt class="sig sig-object py" id="core.ProofByContradiction2Inclusion.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByContradiction2Inclusion.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByContradiction2Inclusion.__init__">¶</a></dt>
 <dd><p>Include (aka allow) an inference-rule in a theory-elaboration.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ProofByContradiction2Inclusion.infer_formula">
-<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_neq_q_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByContradiction2Inclusion.infer_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_neq_q_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByContradiction2Inclusion.infer_formula">¶</a></dt>
 <dd><dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
 <dd class="field-odd"><ul class="simple">
@@ -355,7 +355,7 @@ <h3>ProofByContradiction2Inclusion<a aria-label="Click to copy this link" class=
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ProofByContradiction2Inclusion.infer_statement">
-<span class="sig-name descname"><span class="pre">infer_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_neq_q_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByContradiction2Inclusion.infer_statement">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_neq_q_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByContradiction2Inclusion.infer_statement">¶</a></dt>
 <dd><dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
 <dd class="field-odd"><ul class="simple">
@@ -372,7 +372,7 @@ <h3>ProofByContradiction2Inclusion<a aria-label="Click to copy this link" class=
 </section>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 </section>
 </section>
 </article>
diff --git a/docs/build/proof_by_refutation_1.html b/docs/build/proof_by_refutation_1.html
index 068d45e0..7843cad6 100644
--- a/docs/build/proof_by_refutation_1.html
+++ b/docs/build/proof_by_refutation_1.html
@@ -276,9 +276,9 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="proof-by-refutation-1">
-<h1>proof-by-refutation-1<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#proof-by-refutation-1">¶</a></h1>
+<h1>proof-by-refutation-1<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#proof-by-refutation-1">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p><em>proof-by-refutation-1</em> is the <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a>:</p>
 <div class="math notranslate nohighlight">
 \[\left( \boldsymbol{\mathcal{H}} \: \textit{assume} \: \neg \boldsymbol{P}, \boldsymbol{P}, Inc\left( \boldsymbol{\mathcal{H}} \right)  \right) \vdash \boldsymbol{P}\]</div>
@@ -292,19 +292,19 @@ <h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipp
 <p>In plain language, it consists in posing the hypothesis that a proposition <span class="math notranslate nohighlight">\(\boldsymbol{P}\)</span> is not true, refuting that hypothesis by proving <span class="math notranslate nohighlight">\(\boldsymbol{P}\)</span>, inferring the inconsistency of that hypothesis from this contradiction, and finally inferring <span class="math notranslate nohighlight">\(\boldsymbol{P}\)</span>.</p>
 </section>
 <section id="python-implementation">
-<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
+<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
 <section id="proofbyrefutation1declaration">
-<h3>ProofByRefutation1Declaration<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#proofbyrefutation1declaration">¶</a></h3>
+<h3>ProofByRefutation1Declaration<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#proofbyrefutation1declaration">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.ProofByRefutation1Declaration">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">ProofByRefutation1Declaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation1Declaration">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">ProofByRefutation1Declaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation1Declaration">¶</a></dt>
 <dd><dl class="py method">
 <dt class="sig sig-object py" id="core.ProofByRefutation1Declaration.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation1Declaration.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation1Declaration.__init__">¶</a></dt>
 <dd></dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ProofByRefutation1Declaration.compose_paragraph_proof">
-<span class="sig-name descname"><span class="pre">compose_paragraph_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation1Declaration.compose_paragraph_proof">¶</a></dt>
+<span class="sig-name descname"><span class="pre">compose_paragraph_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation1Declaration.compose_paragraph_proof">¶</a></dt>
 <dd><p>This method should be overridden by specialized inference-rule classes to provide accurate proofs.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Return type<span class="colon">:</span></dt>
@@ -314,12 +314,12 @@ <h3>ProofByRefutation1Declaration<a aria-label="Click to copy this link" class="
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ProofByRefutation1Declaration.infer_formula">
-<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation1Declaration.infer_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation1Declaration.infer_formula">¶</a></dt>
 <dd><p>Apply this inference-rules on input statements and return the resulting statement.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ProofByRefutation1Declaration.verify_args">
-<span class="sig-name descname"><span class="pre">verify_args</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation1Declaration.verify_args">¶</a></dt>
+<span class="sig-name descname"><span class="pre">verify_args</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation1Declaration.verify_args">¶</a></dt>
 <dd><dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
 <dd class="field-odd"><ul class="simple">
@@ -337,18 +337,18 @@ <h3>ProofByRefutation1Declaration<a aria-label="Click to copy this link" class="
 </dd></dl>
 </section>
 <section id="proofbyrefutation1inclusion">
-<h3>ProofByRefutation1Inclusion<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#proofbyrefutation1inclusion">¶</a></h3>
+<h3>ProofByRefutation1Inclusion<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#proofbyrefutation1inclusion">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.ProofByRefutation1Inclusion">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">ProofByRefutation1Inclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation1Inclusion">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">ProofByRefutation1Inclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation1Inclusion">¶</a></dt>
 <dd><dl class="py method">
 <dt class="sig sig-object py" id="core.ProofByRefutation1Inclusion.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation1Inclusion.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation1Inclusion.__init__">¶</a></dt>
 <dd><p>Include (aka allow) an inference-rule in a theory-elaboration.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ProofByRefutation1Inclusion.infer_formula">
-<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation1Inclusion.infer_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation1Inclusion.infer_formula">¶</a></dt>
 <dd><p>Apply the <a class="reference internal" href="#"><span class="doc">proof-by-refutation-1</span></a> <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a> and return the inferred-formula.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -365,7 +365,7 @@ <h3>ProofByRefutation1Inclusion<a aria-label="Click to copy this link" class="he
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ProofByRefutation1Inclusion.infer_statement">
-<span class="sig-name descname"><span class="pre">infer_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation1Inclusion.infer_statement">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation1Inclusion.infer_statement">¶</a></dt>
 <dd><p>Apply the modus-ponens inference-rule and return the inferred-statement.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -383,7 +383,7 @@ <h3>ProofByRefutation1Inclusion<a aria-label="Click to copy this link" class="he
 </section>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 </section>
 </section>
 </article>
diff --git a/docs/build/proof_by_refutation_2.html b/docs/build/proof_by_refutation_2.html
index 190b5347..6ca088aa 100644
--- a/docs/build/proof_by_refutation_2.html
+++ b/docs/build/proof_by_refutation_2.html
@@ -276,27 +276,27 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="proof-by-refutation-2">
-<h1>proof-by-refutation-2<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#proof-by-refutation-2">¶</a></h1>
+<h1>proof-by-refutation-2<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#proof-by-refutation-2">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p><em>proof-by-refutation-2</em> is the <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a>:</p>
 <div class="math notranslate nohighlight">
 \[\left( \mathcal{H} assume \not \mathbf{P}, Inc\left(\mathcal{H}\right)  \right) \vdash \mathbf{P}\]</div>
 </section>
 <section id="python-implementation">
-<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
+<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
 <section id="proofbyrefutation2declaration">
-<h3>ProofByRefutation2Declaration<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#proofbyrefutation2declaration">¶</a></h3>
+<h3>ProofByRefutation2Declaration<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#proofbyrefutation2declaration">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.ProofByRefutation2Declaration">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">ProofByRefutation2Declaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation2Declaration">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">ProofByRefutation2Declaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation2Declaration">¶</a></dt>
 <dd><dl class="py method">
 <dt class="sig sig-object py" id="core.ProofByRefutation2Declaration.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation2Declaration.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation2Declaration.__init__">¶</a></dt>
 <dd></dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ProofByRefutation2Declaration.compose_paragraph_proof">
-<span class="sig-name descname"><span class="pre">compose_paragraph_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation2Declaration.compose_paragraph_proof">¶</a></dt>
+<span class="sig-name descname"><span class="pre">compose_paragraph_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation2Declaration.compose_paragraph_proof">¶</a></dt>
 <dd><p>This method should be overridden by specialized inference-rule classes to provide accurate proofs.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Return type<span class="colon">:</span></dt>
@@ -306,12 +306,12 @@ <h3>ProofByRefutation2Declaration<a aria-label="Click to copy this link" class="
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ProofByRefutation2Declaration.infer_formula">
-<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_eq_q_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation2Declaration.infer_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_eq_q_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation2Declaration.infer_formula">¶</a></dt>
 <dd><p>Apply this inference-rules on input statements and return the resulting statement.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ProofByRefutation2Declaration.verify_args">
-<span class="sig-name descname"><span class="pre">verify_args</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_eq_q_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation2Declaration.verify_args">¶</a></dt>
+<span class="sig-name descname"><span class="pre">verify_args</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_eq_q_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation2Declaration.verify_args">¶</a></dt>
 <dd><dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
 <dd class="field-odd"><ul class="simple">
@@ -329,18 +329,18 @@ <h3>ProofByRefutation2Declaration<a aria-label="Click to copy this link" class="
 </dd></dl>
 </section>
 <section id="proofbyrefutation2inclusion">
-<h3>ProofByRefutation2Inclusion<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#proofbyrefutation2inclusion">¶</a></h3>
+<h3>ProofByRefutation2Inclusion<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#proofbyrefutation2inclusion">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.ProofByRefutation2Inclusion">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">ProofByRefutation2Inclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation2Inclusion">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">ProofByRefutation2Inclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation2Inclusion">¶</a></dt>
 <dd><dl class="py method">
 <dt class="sig sig-object py" id="core.ProofByRefutation2Inclusion.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation2Inclusion.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation2Inclusion.__init__">¶</a></dt>
 <dd><p>Include (aka allow) an inference-rule in a theory-elaboration.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ProofByRefutation2Inclusion.infer_formula">
-<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_eq_q_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation2Inclusion.infer_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_eq_q_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation2Inclusion.infer_formula">¶</a></dt>
 <dd><p>Apply the proof-by-refutation inference-rule and return the inferred-formula.</p>
 <dl class="field-list simple">
 </dl>
@@ -355,7 +355,7 @@ <h3>ProofByRefutation2Inclusion<a aria-label="Click to copy this link" class="he
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.ProofByRefutation2Inclusion.infer_statement">
-<span class="sig-name descname"><span class="pre">infer_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_eq_q_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation2Inclusion.infer_statement">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p_eq_q_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">inc_hypothesis</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.ProofByRefutation2Inclusion.infer_statement">¶</a></dt>
 <dd><p>Apply the modus-ponens inference-rule and return the inferred-statement.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -373,7 +373,7 @@ <h3>ProofByRefutation2Inclusion<a aria-label="Click to copy this link" class="he
 </section>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 </section>
 </section>
 </article>
diff --git a/docs/build/relation.html b/docs/build/relation.html
index 93c5a8cf..65ff0fe6 100644
--- a/docs/build/relation.html
+++ b/docs/build/relation.html
@@ -276,9 +276,9 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="relation">
-<h1>relation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#relation">¶</a></h1>
+<h1>relation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#relation">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p>A <em>relation</em> is a set of ordered pairs <a class="footnote-reference brackets" href="#footcite-downing-dictionary-2009" id="id1" role="doc-noteref"><span class="fn-bracket">[</span>1<span class="fn-bracket">]</span></a>.
 Equivalently, it is a property of sets such that, for any two members of sets <span class="math notranslate nohighlight">\(a\)</span> and <span class="math notranslate nohighlight">\(b\)</span>, <span class="math notranslate nohighlight">\(aRb\)</span> is either true or false <a class="footnote-reference brackets" href="#footcite-mcadams-all-2014" id="id2" role="doc-noteref"><span class="fn-bracket">[</span>2<span class="fn-bracket">]</span></a>.</p>
 <dl class="simple">
@@ -290,7 +290,7 @@ <h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipp
 </dl>
 </section>
 <section id="key-properties">
-<h2>Key properties<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#key-properties">¶</a></h2>
+<h2>Key properties<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#key-properties">¶</a></h2>
 <blockquote>
 <div><ul class="simple">
 <li><p>arity</p></li>
@@ -301,42 +301,42 @@ <h2>Key properties<a aria-label="Click to copy this link" class="headerlink tool
 </div></blockquote>
 </section>
 <section id="punctilious-data-model">
-<h2>Punctilious data model<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#punctilious-data-model">¶</a></h2>
+<h2>Punctilious data model<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#punctilious-data-model">¶</a></h2>
 <div class="graphviz"><img alt='digraph relation {
      rankdir = BT;
      "relation" -&gt; "theoretical-object" [arrowhead=onormal];
 }' class="graphviz" src="_images/graphviz-3742c9c0acb7619d7f2dbfe507bf5bd6d6fecc65.png"/></div>
 </section>
 <section id="python-implementation">
-<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
+<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
 <p>In punctilious, <em>relations</em> are implemented by the core.Relation class.</p>
 <p>A catalog of well-known <em>relations</em> is handily available in the RelationDict…</p>
 <section id="id3">
-<h3>Relation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#id3">¶</a></h3>
+<h3>Relation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#id3">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.Relation">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">Relation</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">arity</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">auto_index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">formula_rep</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">signal_proposition</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">signal_theoretical_morphism</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">implementation</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">acronym</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">abridged_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">explicit_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.Relation">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">Relation</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">arity</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">auto_index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">formula_rep</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">signal_proposition</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">signal_theoretical_morphism</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">implementation</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">acronym</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">abridged_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">explicit_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.Relation">¶</a></dt>
 <dd><p>The Relation pythonic class is the implementation of the relation theoretical-object.</p>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.Relation.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">arity</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">auto_index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">formula_rep</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">signal_proposition</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">signal_theoretical_morphism</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">implementation</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">acronym</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">abridged_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">explicit_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.Relation.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">arity</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">auto_index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">formula_rep</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">signal_proposition</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">signal_theoretical_morphism</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">implementation</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">acronym</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">abridged_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">explicit_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.Relation.__init__">¶</a></dt>
 <dd></dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.Relation.compose_report">
-<span class="sig-name descname"><span class="pre">compose_report</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">**</span></span><span class="n"><span class="pre">kwargs</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.Relation.compose_report">¶</a></dt>
+<span class="sig-name descname"><span class="pre">compose_report</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">**</span></span><span class="n"><span class="pre">kwargs</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.Relation.compose_report">¶</a></dt>
 <dd><p>Composes a report that describes this object.</p>
 </dd></dl>
 </dd></dl>
 </section>
 <section id="meta-object">
-<h3>meta-object<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#meta-object">¶</a></h3>
+<h3>meta-object<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#meta-object">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.SimpleObjctDict">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">SimpleObjctDict</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">u</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.SimpleObjctDict">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">SimpleObjctDict</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">u</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.SimpleObjctDict">¶</a></dt>
 <dd><p>A dictionary that exposes well-known simple-objcts as properties.</p>
 <dl class="py property">
 <dt class="sig sig-object py" id="core.SimpleObjctDict.relation">
-<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">relation</span></span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.SimpleObjctDict.relation">¶</a></dt>
+<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">relation</span></span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.SimpleObjctDict.relation">¶</a></dt>
 <dd><p>The <a class="reference internal" href="#"><span class="doc">relation</span></a> <a class="reference internal" href="meta_object.html"><span class="doc">meta-object</span></a>.</p>
 <p>TODO: relation meta-object: Move this to a specialized class and dictionary?</p>
 </dd></dl>
@@ -344,7 +344,7 @@ <h3>meta-object<a aria-label="Click to copy this link" class="headerlink tooltip
 </section>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 <div class="docutils container" id="id4">
 <aside class="footnote-list brackets">
 <aside class="footnote brackets" id="footcite-downing-dictionary-2009" role="doc-footnote">
diff --git a/docs/build/searchindex.js b/docs/build/searchindex.js
index 7b0cc543..e2ba7d6e 100644
--- a/docs/build/searchindex.js
+++ b/docs/build/searchindex.js
@@ -1 +1 @@
-Search.setIndex({"docnames": ["absorption", "bibliography", "biconditional_elimination_left", "biconditional_elimination_right", "biconditional_introduction", "conjunction_elimination_left", "conjunction_elimination_right", "conjunction_introduction", "disjunction_elimination", "disjunction_introduction_left", "disjunction_introduction_right", "double_negation_elimination", "double_negation_introduction", "elimination_rule", "formula_statement", "hypothesis", "inconsistency_introduction_1", "inconsistency_introduction_2", "inconsistency_introduction_3", "index", "inference_rule", "introduction_rule", "is_a", "meta_object", "modus_ponens", "notation_form", "paragraph_proof", "proof_by_contradiction_1", "proof_by_contradiction_2", "proof_by_refutation_1", "proof_by_refutation_2", "relation", "test", "theory_elaboration_sequence", "universe_of_discourse", "variable_substitution"], "filenames": ["absorption.rst", "bibliography.rst", "biconditional_elimination_left.rst", "biconditional_elimination_right.rst", "biconditional_introduction.rst", "conjunction_elimination_left.rst", "conjunction_elimination_right.rst", "conjunction_introduction.rst", "disjunction_elimination.rst", "disjunction_introduction_left.rst", "disjunction_introduction_right.rst", "double_negation_elimination.rst", "double_negation_introduction.rst", "elimination_rule.rst", "formula_statement.rst", "hypothesis.rst", "inconsistency_introduction_1.rst", "inconsistency_introduction_2.rst", "inconsistency_introduction_3.rst", "index.rst", "inference_rule.rst", "introduction_rule.rst", "is_a.rst", "meta_object.rst", "modus_ponens.rst", "notation_form.rst", "paragraph_proof.rst", "proof_by_contradiction_1.rst", "proof_by_contradiction_2.rst", "proof_by_refutation_1.rst", "proof_by_refutation_2.rst", "relation.rst", "test.rst", "theory_elaboration_sequence.rst", "universe_of_discourse.rst", "variable_substitution.rst"], "titles": ["absorption", "Bibliography", "biconditional-elimination-left", "biconditional-elimination-right", "biconditional-introduction", "conjunction-elimination-left", "conjunction-elimination-right", "conjunction-introduction", "disjunction-elimination", "disjunction-introduction-left", "disjunction-introduction-right", "double-negation-elimination", "double-negation-introduction", "elimination-rule", "formula-statement", "hypothesis", "inconsistency-introduction-1", "inconsistency-introduction-2", "inconsistency-introduction-3", "Index", "inference-rule", "introduction-rule", "is-a", "meta-object", "modus-ponens", "notation-form", "paragraph-proof (proof-style)", "proof-by-contradiction-1", "proof-by-contradiction-2", "proof-by-refutation-1", "proof-by-refutation-2", "relation", "minimalist example", "theory-elaboration-sequence", "universe-of-discourse", "variable-substitution"], "terms": {"core": [0, 7, 9, 10, 12, 22, 23, 24, 27, 28, 29, 30, 31, 33, 34, 35], "universe_of_discours": [0, 7, 9, 10, 12, 24, 28, 29, 30, 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"Documentation": [[27, "documentation"]], "proof-by-contradiction-2": [[28, "proof-by-contradiction-2"]], "ProofByContradiction2Declaration": [[28, "proofbycontradiction2declaration"]], "ProofByContradiction2Inclusion": [[28, "proofbycontradiction2inclusion"]], "proof-by-refutation-1": [[29, "proof-by-refutation-1"]], "ProofByRefutation1Declaration": [[29, "proofbyrefutation1declaration"]], "ProofByRefutation1Inclusion": [[29, "proofbyrefutation1inclusion"]], "proof-by-refutation-2": [[30, "proof-by-refutation-2"]], "ProofByRefutation2Declaration": [[30, "proofbyrefutation2declaration"]], "ProofByRefutation2Inclusion": [[30, "proofbyrefutation2inclusion"]], "relation": [[31, "relation"]], "Key properties": [[31, "key-properties"]], "Punctilious data model": [[31, "punctilious-data-model"]], "Relation": [[31, "id3"]], "theory-elaboration-sequence": [[33, "theory-elaboration-sequence"]], "TheoryElaborationSequence": [[33, "theoryelaborationsequence"]], "Note": [[33, "note"]], "universe-of-discourse": [[34, "universe-of-discourse"]], "UniverseOfDiscourse": [[34, "universeofdiscourse"]], "variable-substitution": [[35, "variable-substitution"]], "VariableSubstitutionDeclaration": [[35, "variablesubstitutiondeclaration"]], "VariableSubstitutionInclusion": [[35, "variablesubstitutioninclusion"]], "inconsistency-introduction-1": [[16, "inconsistency-introduction-1"]], "Python sample usage": [[16, "python-sample-usage"], [17, "python-sample-usage"], [18, "python-sample-usage"]], "Source code": [[16, null], [17, null], [18, null]], "Unicode output": [[16, null], [17, null], [18, null]], "Plaintext output": [[16, null], [17, null], [18, null]], "inconsistency-introduction-2": [[17, "inconsistency-introduction-2"]], "inconsistency-introduction-3": [[18, "inconsistency-introduction-3"]]}, "indexentries": {}})
\ No newline at end of file
diff --git a/docs/build/test.html b/docs/build/test.html
index a1cf621b..f9f377a9 100644
--- a/docs/build/test.html
+++ b/docs/build/test.html
@@ -271,8 +271,8 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="minimalist-example">
-<h1>minimalist example<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#minimalist-example">¶</a></h1>
-<div class="literal-block-wrapper"><div class="code-block-caption"><span class="code-lang">text</span><span class="code-lang">text</span><span class="code-lang">text</span><span class="code-lang">text</span><span class="code-lang">text</span><span class="code-lang">text</span></div><div class="highlight-text notranslate"><div class="highlight" data-controller="code"><pre><span></span><code>punctilious: package initialized. welcome!
+<h1>minimalist example<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#minimalist-example">¶</a></h1>
+<div class="literal-block-wrapper"><div class="code-block-caption"><span class="code-lang">text</span><span class="code-lang">text</span><span class="code-lang">text</span><span class="code-lang">text</span><span class="code-lang">text</span><span class="code-lang">text</span><span class="code-lang">text</span></div><div class="highlight-text notranslate"><div class="highlight" data-controller="code"><pre><span></span><code>punctilious: package initialized. welcome!
 𝖫𝖾𝗍 ⌜𝒰₁⌝ 𝖻𝖾 𝖺 𝑢𝑛𝑖𝑣𝑒𝑟𝑠𝑒-𝑜𝑓-𝑑𝑖𝑠𝑐𝑜𝑢𝑟𝑠𝑒.
 
 𝖫𝖾𝗍 ⌜𝒯₁⌝ 𝖻𝖾 𝖺 𝑡ℎ𝑒𝑜𝑟𝑦-𝑒𝑙𝑎𝑏𝑜𝑟𝑎𝑡𝑖𝑜𝑛-𝑠𝑒𝑞𝑢𝑒𝑛𝑐𝑒 𝗂𝗇 𝒰₁.
diff --git a/docs/build/theory_elaboration_sequence.html b/docs/build/theory_elaboration_sequence.html
index d8200fce..867c990e 100644
--- a/docs/build/theory_elaboration_sequence.html
+++ b/docs/build/theory_elaboration_sequence.html
@@ -276,42 +276,42 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="theory-elaboration-sequence">
-<h1>theory-elaboration-sequence<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#theory-elaboration-sequence">¶</a></h1>
+<h1>theory-elaboration-sequence<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#theory-elaboration-sequence">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p><em>theory-elaboration-sequence</em> is …</p>
 </section>
 <section id="python-implementation">
-<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
+<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
 <section id="theoryelaborationsequence">
-<h3>TheoryElaborationSequence<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#theoryelaborationsequence">¶</a></h3>
+<h3>TheoryElaborationSequence<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#theoryelaborationsequence">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">TheoryElaborationSequence</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">u</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">extended_theory</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">extended_theory_limit</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stabilized</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">TheoryElaborationSequence</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">u</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">extended_theory</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">extended_theory_limit</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stabilized</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence">¶</a></dt>
 <dd><p>The TheoryElaboration pythonic class models a [theory-elaboration](theory-elaboration).</p>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">u</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">extended_theory</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">extended_theory_limit</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stabilized</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">u</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">extended_theory</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">extended_theory_limit</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stabilized</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.__init__">¶</a></dt>
 <dd></dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.assure_interpretation_disclaimer">
-<span class="sig-name descname"><span class="pre">assure_interpretation_disclaimer</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.assure_interpretation_disclaimer">¶</a></dt>
+<span class="sig-name descname"><span class="pre">assure_interpretation_disclaimer</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.assure_interpretation_disclaimer">¶</a></dt>
 <dd><p>After the first usage of a contentual interpretation inference-rule,
 warns the user that no semantic verification is performed.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.compose_article">
-<span class="sig-name descname"><span class="pre">compose_article</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.compose_article">¶</a></dt>
+<span class="sig-name descname"><span class="pre">compose_article</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.compose_article">¶</a></dt>
 <dd><p>Return a representation that expresses and justifies the theory.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.compose_report">
-<span class="sig-name descname"><span class="pre">compose_report</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">**</span></span><span class="n"><span class="pre">kwargs</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.compose_report">¶</a></dt>
+<span class="sig-name descname"><span class="pre">compose_report</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">**</span></span><span class="n"><span class="pre">kwargs</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.compose_report">¶</a></dt>
 <dd><p>Composes a report that describes this object.</p>
 </dd></dl>
 <dl class="py property">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.consistency">
-<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">consistency</span></span><em class="property"><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="pre">Consistency</span></em><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.consistency">¶</a></dt>
+<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">consistency</span></span><em class="property"><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="pre">Consistency</span></em><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.consistency">¶</a></dt>
 <dd><p>The currently proven consistency status of this theory.</p>
 <p>Possible values are:
 - proved-consistent,
@@ -320,55 +320,55 @@ <h3>TheoryElaborationSequence<a aria-label="Click to copy this link" class="head
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.crossreference_axiom_inclusion">
-<span class="sig-name descname"><span class="pre">crossreference_axiom_inclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.crossreference_axiom_inclusion">¶</a></dt>
+<span class="sig-name descname"><span class="pre">crossreference_axiom_inclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.crossreference_axiom_inclusion">¶</a></dt>
 <dd><p>During construction, cross-reference an axiom
 with its parent theory (if it is not already cross-referenced),
 and return its 0-based index in Theory.axioms.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.crossreference_definition_endorsement">
-<span class="sig-name descname"><span class="pre">crossreference_definition_endorsement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">d</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.crossreference_definition_endorsement">¶</a></dt>
+<span class="sig-name descname"><span class="pre">crossreference_definition_endorsement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">d</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.crossreference_definition_endorsement">¶</a></dt>
 <dd><p>During construction, cross-reference an endorsement
 with its parent theory (if it is not already cross-referenced),
 and return its 0-based index in Theory.endorsements.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.crossreference_inference_rule_inclusion">
-<span class="sig-name descname"><span class="pre">crossreference_inference_rule_inclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">i</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.crossreference_inference_rule_inclusion">¶</a></dt>
+<span class="sig-name descname"><span class="pre">crossreference_inference_rule_inclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">i</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.crossreference_inference_rule_inclusion">¶</a></dt>
 <dd><p>During construction, cross-reference an inference-rule
 with its parent theory-elaboration (if it is not already cross-referenced).</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.crossreference_statement">
-<span class="sig-name descname"><span class="pre">crossreference_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">s</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.crossreference_statement">¶</a></dt>
+<span class="sig-name descname"><span class="pre">crossreference_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">s</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.crossreference_statement">¶</a></dt>
 <dd><p>During construction, cross-reference a statement 𝒮
 with its parent theory if it is not already cross-referenced,
 and return its 0-based index in Theory.statements.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.d">
-<span class="sig-name descname"><span class="pre">d</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">natural_language</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">reference</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">title</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.d">¶</a></dt>
+<span class="sig-name descname"><span class="pre">d</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">natural_language</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">reference</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">title</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.d">¶</a></dt>
 <dd><p>Elaborate a new definition with natural-language. Shortcut function for
 t.elaborate_definition(…).</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.export_article_to_file">
-<span class="sig-name descname"><span class="pre">export_article_to_file</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">file_path</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">encoding</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.export_article_to_file">¶</a></dt>
+<span class="sig-name descname"><span class="pre">export_article_to_file</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">file_path</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">encoding</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.export_article_to_file">¶</a></dt>
 <dd><p>Export this theory to a Unicode textfile.</p>
 </dd></dl>
 <dl class="py property">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.extended_theory">
-<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">extended_theory</span></span><em class="property"><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="pre">None</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="#core.TheoryElaborationSequence" title="core.TheoryElaborationSequence"><span class="pre">TheoryElaborationSequence</span></a></em><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.extended_theory">¶</a></dt>
+<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">extended_theory</span></span><em class="property"><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="pre">None</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="#core.TheoryElaborationSequence" title="core.TheoryElaborationSequence"><span class="pre">TheoryElaborationSequence</span></a></em><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.extended_theory">¶</a></dt>
 <dd><p>None if this is a root theory, the theory that this theory extends otherwise.</p>
 </dd></dl>
 <dl class="py property">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.extended_theory_limit">
-<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">extended_theory_limit</span></span><em class="property"><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="pre">None</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">Statement</span></em><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.extended_theory_limit">¶</a></dt>
+<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">extended_theory_limit</span></span><em class="property"><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="pre">None</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">Statement</span></em><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.extended_theory_limit">¶</a></dt>
 <dd><p>If this is a limited extended-theory, the inclusive statement-limit of the inclusion.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.get_first_syntactically_equivalent_statement">
-<span class="sig-name descname"><span class="pre">get_first_syntactically_equivalent_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">formula</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.get_first_syntactically_equivalent_statement">¶</a></dt>
+<span class="sig-name descname"><span class="pre">get_first_syntactically_equivalent_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">formula</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.get_first_syntactically_equivalent_statement">¶</a></dt>
 <dd><p>Given a formula, return the first statement that is syntactically-equivalent with it, or None if none are found.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -381,35 +381,35 @@ <h3>TheoryElaborationSequence<a aria-label="Click to copy this link" class="head
 </dd></dl>
 <dl class="py property">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.i">
-<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">i</span></span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.i">¶</a></dt>
+<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">i</span></span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.i">¶</a></dt>
 <dd><p>Return the dictionary of inference-rule-inclusions contained in this
 theory-elaboration.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.include_axiom">
-<span class="sig-name descname"><span class="pre">include_axiom</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">auto_index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">acronym</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">abridged_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">explicit_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.include_axiom">¶</a></dt>
+<span class="sig-name descname"><span class="pre">include_axiom</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">auto_index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">acronym</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">abridged_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">explicit_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.include_axiom">¶</a></dt>
 <dd><p>Include an axiom in this theory-elaboration-sequence.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.include_definition">
-<span class="sig-name descname"><span class="pre">include_definition</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">d</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">auto_index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">acronym</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">abridged_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">explicit_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.include_definition">¶</a></dt>
+<span class="sig-name descname"><span class="pre">include_definition</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">d</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">auto_index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">acronym</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">abridged_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">explicit_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.include_definition">¶</a></dt>
 <dd><p>Include a definition in this theory-elaboration-sequence.</p>
 </dd></dl>
 <dl class="py property">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.inconsistency_introduction_inference_rule_is_included">
-<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">inconsistency_introduction_inference_rule_is_included</span></span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.inconsistency_introduction_inference_rule_is_included">¶</a></dt>
+<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">inconsistency_introduction_inference_rule_is_included</span></span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.inconsistency_introduction_inference_rule_is_included">¶</a></dt>
 <dd><p>True if the inconsistency-introduction inference-rule is included in this theory,
 False otherwise.</p>
 </dd></dl>
 <dl class="py property">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.inference_rule_inclusions">
-<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">inference_rule_inclusions</span></span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.inference_rule_inclusions">¶</a></dt>
+<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">inference_rule_inclusions</span></span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.inference_rule_inclusions">¶</a></dt>
 <dd><p>Return the dictionary of inference-rule-inclusions contained in this
 theory-elaboration.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.iterate_statements_in_theory_chain">
-<span class="sig-name descname"><span class="pre">iterate_statements_in_theory_chain</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">formula</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.iterate_statements_in_theory_chain">¶</a></dt>
+<span class="sig-name descname"><span class="pre">iterate_statements_in_theory_chain</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">formula</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.iterate_statements_in_theory_chain">¶</a></dt>
 <dd><p>Iterate through the (proven or sound) statements in the current theory-chain.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -422,7 +422,7 @@ <h3>TheoryElaborationSequence<a aria-label="Click to copy this link" class="head
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.iterate_theoretical_objcts_references">
-<span class="sig-name descname"><span class="pre">iterate_theoretical_objcts_references</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">include_root</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">True</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">visited</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.iterate_theoretical_objcts_references">¶</a></dt>
+<span class="sig-name descname"><span class="pre">iterate_theoretical_objcts_references</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">include_root</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">True</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">visited</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.iterate_theoretical_objcts_references">¶</a></dt>
 <dd><p>Iterate through this and all the theoretical-objcts it references recursively.</p>
 <p>Theoretical-objcts may contain references to multiple and diverse other theoretical-objcts. Do not confuse this iteration of all references with iterations of objects in the theory-chain.</p>
 <dl class="field-list simple">
@@ -439,12 +439,12 @@ <h3>TheoryElaborationSequence<a aria-label="Click to copy this link" class="head
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.iterate_theory_chain">
-<span class="sig-name descname"><span class="pre">iterate_theory_chain</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">visited</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.iterate_theory_chain">¶</a></dt>
+<span class="sig-name descname"><span class="pre">iterate_theory_chain</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">visited</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.iterate_theory_chain">¶</a></dt>
 <dd><p>Iterate over the theory-chain of this theory.</p>
 <p>The sequence is : this theory, this theory’s extended-theory, the extended-theory’s
 extended-theory, etc. until the root-theory is processes.</p>
 <section id="note">
-<h4>Note<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#note">¶</a></h4>
+<h4>Note<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#note">¶</a></h4>
 <p>The theory-chain set is distinct from theory-dependency set.
 The theory-chain informs of the parent package whose statements are considered
 valid in the current theory.
@@ -454,40 +454,40 @@ <h4>Note<a aria-label="Click to copy this link" class="headerlink tooltipped too
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.iterate_valid_propositions_in_theory_chain">
-<span class="sig-name descname"><span class="pre">iterate_valid_propositions_in_theory_chain</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.iterate_valid_propositions_in_theory_chain">¶</a></dt>
+<span class="sig-name descname"><span class="pre">iterate_valid_propositions_in_theory_chain</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.iterate_valid_propositions_in_theory_chain">¶</a></dt>
 <dd><p>Iterate through the valid-propositions in the current theory-chain.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.open_section">
-<span class="sig-name descname"><span class="pre">open_section</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">section_title</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">section_number</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">section_parent</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">numbering</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.open_section">¶</a></dt>
+<span class="sig-name descname"><span class="pre">open_section</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">section_title</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">section_number</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">section_parent</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">numbering</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.open_section">¶</a></dt>
 <dd><p>Open a new section in the current theory-elaboration-sequence.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.pose_hypothesis">
-<span class="sig-name descname"><span class="pre">pose_hypothesis</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">hypothesis_formula</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">auto_index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">acronym</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">abridged_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">explicit_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.pose_hypothesis">¶</a></dt>
+<span class="sig-name descname"><span class="pre">pose_hypothesis</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">hypothesis_formula</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">auto_index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">acronym</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">abridged_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">explicit_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.pose_hypothesis">¶</a></dt>
 <dd><p>Pose a new hypothesis in the current theory.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.report_inconsistency_proof">
-<span class="sig-name descname"><span class="pre">report_inconsistency_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">proof</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.report_inconsistency_proof">¶</a></dt>
+<span class="sig-name descname"><span class="pre">report_inconsistency_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">proof</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.report_inconsistency_proof">¶</a></dt>
 <dd><p>This method is called by InferredStatement.__init__() when the inferred-statement
 proves the inconsistency of a theory.</p>
 </dd></dl>
 <dl class="py property">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.stabilized">
-<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">stabilized</span></span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.stabilized">¶</a></dt>
+<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">stabilized</span></span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.stabilized">¶</a></dt>
 <dd><p>Return the stabilized property of this theory-elaboration.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.TheoryElaborationSequence.take_note">
-<span class="sig-name descname"><span class="pre">take_note</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">content</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">auto_index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">acronym</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">abridged_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">explicit_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.take_note">¶</a></dt>
+<span class="sig-name descname"><span class="pre">take_note</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">content</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">auto_index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">acronym</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">abridged_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">explicit_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.TheoryElaborationSequence.take_note">¶</a></dt>
 <dd><p>Take a note, make a comment, or remark in this theory.</p>
 </dd></dl>
 </dd></dl>
 </section>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 <ul class="simple">
 <li><p>…</p></li>
 </ul>
diff --git a/docs/build/universe_of_discourse.html b/docs/build/universe_of_discourse.html
index 193b3cb1..1b29e98c 100644
--- a/docs/build/universe_of_discourse.html
+++ b/docs/build/universe_of_discourse.html
@@ -276,26 +276,26 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="universe-of-discourse">
-<h1>universe-of-discourse<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#universe-of-discourse">¶</a></h1>
+<h1>universe-of-discourse<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#universe-of-discourse">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p><em>universe-of-discourse</em> is …</p>
 </section>
 <section id="python-implementation">
-<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
+<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
 <section id="universeofdiscourse">
-<h3>UniverseOfDiscourse<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#universeofdiscourse">¶</a></h3>
+<h3>UniverseOfDiscourse<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#universeofdiscourse">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">UniverseOfDiscourse</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">UniverseOfDiscourse</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse">¶</a></dt>
 <dd><p>The UniverseOfDiscourse pythonic class models a universe-of-discourse.</p>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.__init__">¶</a></dt>
 <dd></dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.cross_reference_axiom">
-<span class="sig-name descname"><span class="pre">cross_reference_axiom</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.cross_reference_axiom">¶</a></dt>
+<span class="sig-name descname"><span class="pre">cross_reference_axiom</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.cross_reference_axiom">¶</a></dt>
 <dd><p>Cross-references an axiom in this universe-of-discourse.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -308,7 +308,7 @@ <h3>UniverseOfDiscourse<a aria-label="Click to copy this link" class="headerlink
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.cross_reference_definition">
-<span class="sig-name descname"><span class="pre">cross_reference_definition</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">d</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.cross_reference_definition">¶</a></dt>
+<span class="sig-name descname"><span class="pre">cross_reference_definition</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">d</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.cross_reference_definition">¶</a></dt>
 <dd><p>Cross-references a definition in this universe-of-discourse.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -321,7 +321,7 @@ <h3>UniverseOfDiscourse<a aria-label="Click to copy this link" class="headerlink
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.cross_reference_formula">
-<span class="sig-name descname"><span class="pre">cross_reference_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">phi</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.cross_reference_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">cross_reference_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">phi</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.cross_reference_formula">¶</a></dt>
 <dd><p>Cross-references a formula in this universe-of-discourse.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -331,7 +331,7 @@ <h3>UniverseOfDiscourse<a aria-label="Click to copy this link" class="headerlink
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.cross_reference_inference_rule">
-<span class="sig-name descname"><span class="pre">cross_reference_inference_rule</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">ir</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.cross_reference_inference_rule">¶</a></dt>
+<span class="sig-name descname"><span class="pre">cross_reference_inference_rule</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">ir</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.cross_reference_inference_rule">¶</a></dt>
 <dd><p>Cross-references an inference-rule in this universe-of-discourse.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -344,7 +344,7 @@ <h3>UniverseOfDiscourse<a aria-label="Click to copy this link" class="headerlink
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.cross_reference_relation">
-<span class="sig-name descname"><span class="pre">cross_reference_relation</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">r</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.cross_reference_relation">¶</a></dt>
+<span class="sig-name descname"><span class="pre">cross_reference_relation</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">r</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.cross_reference_relation">¶</a></dt>
 <dd><p>Cross-references a relation in this universe-of-discourse.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -354,7 +354,7 @@ <h3>UniverseOfDiscourse<a aria-label="Click to copy this link" class="headerlink
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.cross_reference_simple_objct">
-<span class="sig-name descname"><span class="pre">cross_reference_simple_objct</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.cross_reference_simple_objct">¶</a></dt>
+<span class="sig-name descname"><span class="pre">cross_reference_simple_objct</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.cross_reference_simple_objct">¶</a></dt>
 <dd><p>Cross-references a simple-objct in this universe-of-discourse.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -364,7 +364,7 @@ <h3>UniverseOfDiscourse<a aria-label="Click to copy this link" class="headerlink
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.cross_reference_symbolic_objct">
-<span class="sig-name descname"><span class="pre">cross_reference_symbolic_objct</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.cross_reference_symbolic_objct">¶</a></dt>
+<span class="sig-name descname"><span class="pre">cross_reference_symbolic_objct</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.cross_reference_symbolic_objct">¶</a></dt>
 <dd><p>Cross-references a symbolic-objct in this universe-of-discourse.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -374,7 +374,7 @@ <h3>UniverseOfDiscourse<a aria-label="Click to copy this link" class="headerlink
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.cross_reference_theory">
-<span class="sig-name descname"><span class="pre">cross_reference_theory</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.cross_reference_theory">¶</a></dt>
+<span class="sig-name descname"><span class="pre">cross_reference_theory</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.cross_reference_theory">¶</a></dt>
 <dd><p>Cross-references a theory in this universe-of-discourse.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -384,17 +384,17 @@ <h3>UniverseOfDiscourse<a aria-label="Click to copy this link" class="headerlink
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.declare_axiom">
-<span class="sig-name descname"><span class="pre">declare_axiom</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">natural_language</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">acronym</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">abridged_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">explicit_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.declare_axiom">¶</a></dt>
+<span class="sig-name descname"><span class="pre">declare_axiom</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">natural_language</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">acronym</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">abridged_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">explicit_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.declare_axiom">¶</a></dt>
 <dd><p>Elaborate a new axiom 𝑎 in this universe-of-discourse.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.declare_definition">
-<span class="sig-name descname"><span class="pre">declare_definition</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">natural_language</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">auto_index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">acronym</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">abridged_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">explicit_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.declare_definition">¶</a></dt>
+<span class="sig-name descname"><span class="pre">declare_definition</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">natural_language</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">auto_index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">acronym</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">abridged_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">explicit_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.declare_definition">¶</a></dt>
 <dd><p>Elaborate a new axiom 𝑎 in this universe-of-discourse.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.declare_formula">
-<span class="sig-name descname"><span class="pre">declare_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">relation</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span><span class="n"><span class="pre">parameters</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">lock_variable_scope</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.declare_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">declare_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">relation</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span><span class="n"><span class="pre">parameters</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">lock_variable_scope</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.declare_formula">¶</a></dt>
 <dd><p>Declare a new formula in this universe-of-discourse.</p>
 <p>This method is a shortcut for Formula(universe_of_discourse=self, . . d.).</p>
 <p>A formula is <em>declared</em> in a theory, and not <em>stated</em>, because it is not a statement,
@@ -402,7 +402,7 @@ <h3>UniverseOfDiscourse<a aria-label="Click to copy this link" class="headerlink
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.declare_free_variable">
-<span class="sig-name descname"><span class="pre">declare_free_variable</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">acronym</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">abridged_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">explicit_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.declare_free_variable">¶</a></dt>
+<span class="sig-name descname"><span class="pre">declare_free_variable</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">acronym</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">abridged_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">explicit_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.declare_free_variable">¶</a></dt>
 <dd><p>Declare a free-variable in this universe-of-discourse.</p>
 <p>A shortcut function for FreeVariable(universe_of_discourse=u, …)</p>
 <dl class="field-list simple">
@@ -416,7 +416,7 @@ <h3>UniverseOfDiscourse<a aria-label="Click to copy this link" class="headerlink
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.declare_theory">
-<span class="sig-name descname"><span class="pre">declare_theory</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">extended_theory</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">extended_theory_limit</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stabilized</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.declare_theory">¶</a></dt>
+<span class="sig-name descname"><span class="pre">declare_theory</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">extended_theory</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">extended_theory_limit</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stabilized</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.declare_theory">¶</a></dt>
 <dd><p>Declare a new theory in this universe-of-discourse.</p>
 <p>Shortcut for Theory(universe_of_discourse, …).</p>
 <dl class="field-list simple">
@@ -434,13 +434,13 @@ <h3>UniverseOfDiscourse<a aria-label="Click to copy this link" class="headerlink
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.f">
-<span class="sig-name descname"><span class="pre">f</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">relation</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span><span class="n"><span class="pre">parameters</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">lock_variable_scope</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.f">¶</a></dt>
+<span class="sig-name descname"><span class="pre">f</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">relation</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span><span class="n"><span class="pre">parameters</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">lock_variable_scope</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.f">¶</a></dt>
 <dd><p>Declare a new formula in this universe-of-discourse.</p>
 <p>Shortcut for self.elaborate_formula(…).</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.get_symbol_max_index">
-<span class="sig-name descname"><span class="pre">get_symbol_max_index</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">symbol</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.get_symbol_max_index">¶</a></dt>
+<span class="sig-name descname"><span class="pre">get_symbol_max_index</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">symbol</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.get_symbol_max_index">¶</a></dt>
 <dd><p>Return the highest index for that symbol-base in the universe-of-discourse.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Return type<span class="colon">:</span></dt>
@@ -450,13 +450,13 @@ <h3>UniverseOfDiscourse<a aria-label="Click to copy this link" class="headerlink
 </dd></dl>
 <dl class="py property">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.i">
-<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">i</span></span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.i">¶</a></dt>
+<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">i</span></span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.i">¶</a></dt>
 <dd><p>A python dictionary of inference-rules contained in this universe-of-discourse,
 where well-known inference-rules are directly available as properties.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.index_symbol">
-<span class="sig-name descname"><span class="pre">index_symbol</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">symbol</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.index_symbol">¶</a></dt>
+<span class="sig-name descname"><span class="pre">index_symbol</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">symbol</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.index_symbol">¶</a></dt>
 <dd><p>Given a symbol-base S (i.e. an unindexed symbol), returns a unique integer n
 such that (S, n) is a unique identifier in this instance of UniverseOfDiscourse.</p>
 <dl class="field-list simple">
@@ -473,13 +473,13 @@ <h3>UniverseOfDiscourse<a aria-label="Click to copy this link" class="headerlink
 </dd></dl>
 <dl class="py property">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.inference_rules">
-<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">inference_rules</span></span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.inference_rules">¶</a></dt>
+<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">inference_rules</span></span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.inference_rules">¶</a></dt>
 <dd><p>A python dictionary of inference-rules contained in this universe-of-discourse,
 where well-known inference-rules are directly available as properties.</p>
 </dd></dl>
 <dl class="py property">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.o">
-<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">o</span></span><em class="property"><span class="p"><span class="pre">:</span></span><span class="w"> </span><a class="reference internal" href="relation.html#core.SimpleObjctDict" title="core.SimpleObjctDict"><span class="pre">SimpleObjctDict</span></a></em><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.o">¶</a></dt>
+<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">o</span></span><em class="property"><span class="p"><span class="pre">:</span></span><span class="w"> </span><a class="reference internal" href="relation.html#core.SimpleObjctDict" title="core.SimpleObjctDict"><span class="pre">SimpleObjctDict</span></a></em><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.o">¶</a></dt>
 <dd><p>The collection of simple-objcts in this universe-of-discourse.</p>
 <p>Unabridged version: universe_of_discourse.simple_objcts</p>
 <p>Well-known simple-objcts are exposed as python properties. In general, a well-known
@@ -488,19 +488,19 @@ <h3>UniverseOfDiscourse<a aria-label="Click to copy this link" class="headerlink
 </dd></dl>
 <dl class="py property">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.r">
-<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">r</span></span><em class="property"><span class="p"><span class="pre">:</span></span><span class="w"> </span><a class="reference internal" href="is_a.html#core.RelationDict" title="core.RelationDict"><span class="pre">RelationDict</span></a></em><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.r">¶</a></dt>
+<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">r</span></span><em class="property"><span class="p"><span class="pre">:</span></span><span class="w"> </span><a class="reference internal" href="is_a.html#core.RelationDict" title="core.RelationDict"><span class="pre">RelationDict</span></a></em><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.r">¶</a></dt>
 <dd><p>A python dictionary of relations contained in this universe-of-discourse,
 where well-known relations are directly available as properties.</p>
 </dd></dl>
 <dl class="py property">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.relations">
-<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">relations</span></span><em class="property"><span class="p"><span class="pre">:</span></span><span class="w"> </span><a class="reference internal" href="is_a.html#core.RelationDict" title="core.RelationDict"><span class="pre">RelationDict</span></a></em><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.relations">¶</a></dt>
+<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">relations</span></span><em class="property"><span class="p"><span class="pre">:</span></span><span class="w"> </span><a class="reference internal" href="is_a.html#core.RelationDict" title="core.RelationDict"><span class="pre">RelationDict</span></a></em><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.relations">¶</a></dt>
 <dd><p>A python dictionary of relations contained in this universe-of-discourse,
 where well-known relations are directly available as properties.</p>
 </dd></dl>
 <dl class="py property">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.simple_objcts">
-<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">simple_objcts</span></span><em class="property"><span class="p"><span class="pre">:</span></span><span class="w"> </span><a class="reference internal" href="relation.html#core.SimpleObjctDict" title="core.SimpleObjctDict"><span class="pre">SimpleObjctDict</span></a></em><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.simple_objcts">¶</a></dt>
+<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">simple_objcts</span></span><em class="property"><span class="p"><span class="pre">:</span></span><span class="w"> </span><a class="reference internal" href="relation.html#core.SimpleObjctDict" title="core.SimpleObjctDict"><span class="pre">SimpleObjctDict</span></a></em><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.simple_objcts">¶</a></dt>
 <dd><p>The collection of simple-objcts in this universe-of-discourse.</p>
 <p>Abridged version: u.o</p>
 <p>Well-known simple-objcts are exposed as python properties. In general, a well-known
@@ -514,7 +514,7 @@ <h3>UniverseOfDiscourse<a aria-label="Click to copy this link" class="headerlink
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.t">
-<span class="sig-name descname"><span class="pre">t</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">extended_theory</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">extended_theory_limit</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stabilized</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.t">¶</a></dt>
+<span class="sig-name descname"><span class="pre">t</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">extended_theory</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">extended_theory_limit</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stabilized</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.t">¶</a></dt>
 <dd><p>Declare a new theory in this universe-of-discourse.</p>
 <p>Shortcut for self.declare_theory(…).</p>
 <dl class="field-list simple">
@@ -532,12 +532,12 @@ <h3>UniverseOfDiscourse<a aria-label="Click to copy this link" class="headerlink
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.take_note">
-<span class="sig-name descname"><span class="pre">take_note</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">content</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">auto_index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">acronym</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">abridged_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">explicit_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.take_note">¶</a></dt>
+<span class="sig-name descname"><span class="pre">take_note</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">content</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">auto_index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">acronym</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">abridged_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">explicit_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.take_note">¶</a></dt>
 <dd><p>Take a note, make a comment, or remark.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.UniverseOfDiscourse.v">
-<span class="sig-name descname"><span class="pre">v</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">auto_index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">acronym</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">abridged_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">explicit_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.v">¶</a></dt>
+<span class="sig-name descname"><span class="pre">v</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">symbol</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">auto_index</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dashed_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">acronym</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">abridged_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">explicit_name</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.UniverseOfDiscourse.v">¶</a></dt>
 <dd><p>Declare a free-variable in this universe-of-discourse.</p>
 <p>This method is expected to be as in a with statement,
 it yields an instance of FreeVariable,
@@ -551,7 +551,7 @@ <h3>UniverseOfDiscourse<a aria-label="Click to copy this link" class="headerlink
 </section>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 <ul class="simple">
 <li><p>…</p></li>
 </ul>
diff --git a/docs/build/variable_substitution.html b/docs/build/variable_substitution.html
index 0c76f19c..5bf869ad 100644
--- a/docs/build/variable_substitution.html
+++ b/docs/build/variable_substitution.html
@@ -275,9 +275,9 @@
 </nav>
 <article class="flex-1 prose" role="main">
 <section id="variable-substitution">
-<h1>variable-substitution<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#variable-substitution">¶</a></h1>
+<h1>variable-substitution<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#variable-substitution">¶</a></h1>
 <section id="definition">
-<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
+<h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#definition">¶</a></h2>
 <p><em>variable-substitution</em> is the well-known and valid <a class="reference internal" href="inference_rule.html"><span class="doc">inference-rule</span></a>:</p>
 <div class="math notranslate nohighlight">
 \[\left( P, \Phi \right)  \vdash Q'\]</div>
@@ -287,19 +287,19 @@ <h2>Definition<a aria-label="Click to copy this link" class="headerlink tooltipp
 * Q is a modified P formula-statement where variables in P have been replaced by the corresponding formulae in Phi</p>
 </section>
 <section id="python-implementation">
-<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
+<h2>Python implementation<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#python-implementation">¶</a></h2>
 <section id="variablesubstitutiondeclaration">
-<h3>VariableSubstitutionDeclaration<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#variablesubstitutiondeclaration">¶</a></h3>
+<h3>VariableSubstitutionDeclaration<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#variablesubstitutiondeclaration">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.VariableSubstitutionDeclaration">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">VariableSubstitutionDeclaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.VariableSubstitutionDeclaration">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">VariableSubstitutionDeclaration</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.VariableSubstitutionDeclaration">¶</a></dt>
 <dd><dl class="py method">
 <dt class="sig sig-object py" id="core.VariableSubstitutionDeclaration.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.VariableSubstitutionDeclaration.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">universe_of_discourse</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.VariableSubstitutionDeclaration.__init__">¶</a></dt>
 <dd></dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.VariableSubstitutionDeclaration.compose_paragraph_proof">
-<span class="sig-name descname"><span class="pre">compose_paragraph_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.VariableSubstitutionDeclaration.compose_paragraph_proof">¶</a></dt>
+<span class="sig-name descname"><span class="pre">compose_paragraph_proof</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">o</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.VariableSubstitutionDeclaration.compose_paragraph_proof">¶</a></dt>
 <dd><p>Overrides the generic paragraph proof method.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Return type<span class="colon">:</span></dt>
@@ -309,7 +309,7 @@ <h3>VariableSubstitutionDeclaration<a aria-label="Click to copy this link" class
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.VariableSubstitutionDeclaration.infer_formula">
-<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">phi</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">**</span></span><span class="n"><span class="pre">kwargs</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.VariableSubstitutionDeclaration.infer_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">phi</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">**</span></span><span class="n"><span class="pre">kwargs</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.VariableSubstitutionDeclaration.infer_formula">¶</a></dt>
 <dd><p>Compute the formula that results from applying this inference-rule with those arguments.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -326,24 +326,24 @@ <h3>VariableSubstitutionDeclaration<a aria-label="Click to copy this link" class
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.VariableSubstitutionDeclaration.verify_args">
-<span class="sig-name descname"><span class="pre">verify_args</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">phi</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">**</span></span><span class="n"><span class="pre">kwargs</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.VariableSubstitutionDeclaration.verify_args">¶</a></dt>
+<span class="sig-name descname"><span class="pre">verify_args</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">phi</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">**</span></span><span class="n"><span class="pre">kwargs</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.VariableSubstitutionDeclaration.verify_args">¶</a></dt>
 <dd><p>Verify if the arguments comply syntactically with the inference-rule.</p>
 </dd></dl>
 </dd></dl>
 </section>
 <section id="variablesubstitutioninclusion">
-<h3>VariableSubstitutionInclusion<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#variablesubstitutioninclusion">¶</a></h3>
+<h3>VariableSubstitutionInclusion<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#variablesubstitutioninclusion">¶</a></h3>
 <dl class="py class">
 <dt class="sig sig-object py" id="core.VariableSubstitutionInclusion">
-<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">VariableSubstitutionInclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.VariableSubstitutionInclusion">¶</a></dt>
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">core.</span></span><span class="sig-name descname"><span class="pre">VariableSubstitutionInclusion</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.VariableSubstitutionInclusion">¶</a></dt>
 <dd><dl class="py method">
 <dt class="sig sig-object py" id="core.VariableSubstitutionInclusion.__init__">
-<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.VariableSubstitutionInclusion.__init__">¶</a></dt>
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">proof</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.VariableSubstitutionInclusion.__init__">¶</a></dt>
 <dd><p>Include (aka allow) an inference-rule in a theory-elaboration.</p>
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.VariableSubstitutionInclusion.infer_formula">
-<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">phi</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.VariableSubstitutionInclusion.infer_formula">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_formula</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">phi</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.VariableSubstitutionInclusion.infer_formula">¶</a></dt>
 <dd><dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
 <dd class="field-odd"><ul class="simple">
@@ -358,7 +358,7 @@ <h3>VariableSubstitutionInclusion<a aria-label="Click to copy this link" class="
 </dd></dl>
 <dl class="py method">
 <dt class="sig sig-object py" id="core.VariableSubstitutionInclusion.infer_statement">
-<span class="sig-name descname"><span class="pre">infer_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">phi</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.VariableSubstitutionInclusion.infer_statement">¶</a></dt>
+<span class="sig-name descname"><span class="pre">infer_statement</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">phi</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nameset</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ref</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">paragraph_header</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">subtitle</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">echo</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#core.VariableSubstitutionInclusion.infer_statement">¶</a></dt>
 <dd><p>Apply the variable-substitution inference-rule and return the inferred-statement.</p>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
@@ -381,7 +381,7 @@ <h3>VariableSubstitutionInclusion<a aria-label="Click to copy this link" class="
 </section>
 </section>
 <section id="bibliography">
-<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
+<h2>Bibliography<a aria-label="Click to copy this link" class="headerlink tooltipped tooltipped-ne tooltipped tooltipped-ne tooltipped tooltipped-ne" data-action="click-&gt;clipboard#copyHeaderLink" data-controller="clipboard" href="#bibliography">¶</a></h2>
 <ul class="simple">
 <li><p>…</p></li>
 </ul>
diff --git a/sample/code/inconsistency_introduction_1.py b/sample/code/inconsistency_introduction_1.py
index b2ea44e9..b4b67e74 100644
--- a/sample/code/inconsistency_introduction_1.py
+++ b/sample/code/inconsistency_introduction_1.py
@@ -25,4 +25,5 @@
 pu.configuration.echo_proof = True
 
 # And finally, use the inconsistency-introduction-1 inference-rule:
-t2.i.inconsistency_introduction_1.infer_statement(p=p, not_p=not_p, inconsistent_theory=t1)
+inc_proof = t2.i.inconsistency_introduction_1.infer_statement(p=p, not_p=not_p,
+    inconsistent_theory=t1)
diff --git a/sample/code/inconsistency_introduction_2.py b/sample/code/inconsistency_introduction_2.py
index 9fa71001..27b74d56 100644
--- a/sample/code/inconsistency_introduction_2.py
+++ b/sample/code/inconsistency_introduction_2.py
@@ -24,5 +24,5 @@
 pu.configuration.echo_proof = True
 
 # And finally, use the inconsistency-introduction-2 inference-rule:
-t2.i.inconsistency_introduction_2.infer_statement(p_eq_q=p_eq_q, p_neq_q=p_neq_q,
+inc_proof = t2.i.inconsistency_introduction_2.infer_statement(p_eq_q=p_eq_q, p_neq_q=p_neq_q,
     inconsistent_theory=t1)
diff --git a/sample/code/inconsistency_introduction_3.py b/sample/code/inconsistency_introduction_3.py
index 763a920d..fbdf6ac9 100644
--- a/sample/code/inconsistency_introduction_3.py
+++ b/sample/code/inconsistency_introduction_3.py
@@ -22,4 +22,5 @@
 pu.configuration.echo_proof = True
 
 # And finally, use the inconsistency-introduction-2 inference-rule:
-t2.i.inconsistency_introduction_3.infer_statement(p_neq_p=p_neq_p, inconsistent_theory=t1)
+inc_proof = t2.i.inconsistency_introduction_3.infer_statement(p_neq_p=p_neq_p,
+    inconsistent_theory=t1)
diff --git a/tests/inconsistency_introduction_1.py b/tests/inconsistency_introduction_1.py
index c50b4525..3dae9a4e 100644
--- a/tests/inconsistency_introduction_1.py
+++ b/tests/inconsistency_introduction_1.py
@@ -9,10 +9,10 @@ def test_inconsistency_introduction_1(self):
         import sample.code.inconsistency_introduction_1 as test
         u: pu.UniverseOfDiscourse = test.u
         t1: pu.TheoryElaborationSequence = test.t1
-        inc: pu.InferredStatement = test.inc
+        inc_proof: pu.InferredStatement = test.inc_proof
         self.assertIs(pu.consistency_values.proved_inconsistent, t1.consistency)
-        self.assertTrue(inc.is_formula_syntactically_equivalent_to(u.r.inc(t1)))
-        self.assertEqual('𝐼𝑛𝑐(𝒯₁)', inc.rep_formula(encoding=pu.encodings.unicode))
+        self.assertTrue(inc_proof.is_formula_syntactically_equivalent_to(u.r.inc(t1)))
+        self.assertEqual('𝐼𝑛𝑐(𝒯₁)', inc_proof.rep_formula(encoding=pu.encodings.unicode))
 
     def test_inconsistency_introduction_1_with_hypothesis(self):
         """Inconsistency introduction in a hypothesis"""
diff --git a/tests/inconsistency_introduction_2.py b/tests/inconsistency_introduction_2.py
index faafeddc..69dbb84d 100644
--- a/tests/inconsistency_introduction_2.py
+++ b/tests/inconsistency_introduction_2.py
@@ -6,16 +6,10 @@
 
 class TestInconsistencyIntroduction2(TestCase):
     def test_inconsistency_introduction_2(self):
-        pu.configuration.echo_default = True
-        u = pu.UniverseOfDiscourse()
-        o1 = u.o.declare()
-        o2 = u.o.declare()
-        t1 = u.t()
-        a = u.declare_axiom(random_data.random_sentence())
-        ap = t1.include_axiom(a)
-        p_eq_q = t1.i.axiom_interpretation.infer_statement(ap, u.f(u.r.eq, o1, o2))
-        p_neq_q = t1.i.axiom_interpretation.infer_statement(ap, u.f(u.r.neq, o1, o2))
-        t2 = u.t()
-        inc = t2.i.inconsistency_introduction_1.infer_statement(p_eq_q=p_eq_q, p_neq_q=p_neq_q)
-        self.assertEqual('𝐼𝑛𝑐(𝒯₁)', inc.rep_formula(encoding=pu.encodings.unicode))
+        import sample.code.inconsistency_introduction_2 as test
+        u: pu.UniverseOfDiscourse = test.u
+        t1: pu.TheoryElaborationSequence = test.t1
+        inc_proof: pu.InferredStatement = test.inc_proof
         self.assertIs(pu.consistency_values.proved_inconsistent, t1.consistency)
+        self.assertTrue(inc_proof.is_formula_syntactically_equivalent_to(u.r.inc(t1)))
+        self.assertEqual('𝐼𝑛𝑐(𝒯₁)', inc_proof.rep_formula(encoding=pu.encodings.unicode))
diff --git a/tests/inconsistency_introduction_3.py b/tests/inconsistency_introduction_3.py
new file mode 100644
index 00000000..1f770623
--- /dev/null
+++ b/tests/inconsistency_introduction_3.py
@@ -0,0 +1,15 @@
+from unittest import TestCase
+
+import punctilious as pu
+import random_data
+
+
+class TestInconsistencyIntroduction3(TestCase):
+    def test_inconsistency_introduction_3(self):
+        import sample.code.inconsistency_introduction_3 as test
+        u: pu.UniverseOfDiscourse = test.u
+        t1: pu.TheoryElaborationSequence = test.t1
+        inc_proof: pu.InferredStatement = test.inc_proof
+        self.assertIs(pu.consistency_values.proved_inconsistent, t1.consistency)
+        self.assertTrue(inc_proof.is_formula_syntactically_equivalent_to(u.r.inc(t1)))
+        self.assertEqual('𝐼𝑛𝑐(𝒯₁)', inc_proof.rep_formula(encoding=pu.encodings.unicode))