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set-mathml.mmts
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$( Metamath-MathML Presentation Typesetting for set.mm, with MathJax rendering $)
$( The idea behind Metamath "structural" typesetting is to use the formula as a
structure rather than a list of tokens.
Therefore a correspondence is provided for a list of schemes, rather than
for the tokens. A scheme consists in a metamath formula, possibly including
variables (e.g. ` A ` ), and a translation text, where variables can occur
between # signs (e.g. #A# ).
Unification is done top-down, and checks for the schemes in sequence.
It stops as soon as a matching scheme is found, therefore specific schemes
shall be listed first, and generic ones last.
This is used here for presentation MathML, but the same could be used for
any translation.
In this version,
- by default brackets are present in class infix operations ( A F B ).
- they are removed in cases where they can be omitted.
$)
$( Terminal types - when diplaying tokens or in-comment math, only try those types $)
$u wff class setvar $.
$( No brackets and extra space for top level statements $)
$s |- ( ph -> ps ) $: <mrow> <mo mathcolor=#CCC>⊢</mo> #ph# <mo linebreak=goodbreak lspace=1em rspace=1em href="wi.html">→</mo> #ps# </mrow> $.
$s |- ( ph <-> ps ) $: <mrow> <mo mathcolor=#CCC>⊢</mo> #ph# <mo linebreak=goodbreak lspace=1em rspace=1em href="df-bi.html">↔</mo> #ps# </mrow> $.
$( Representation for a provable statement - usually the top level statement to
be represented. $)
$s |- ph $: <mrow><mo mathcolor=#CCC>⊢</mo> #ph# </mrow> $.
$( WFF variables $)
$i wff ph $: <mi mathcolor=#008> φ </mi> $.
$i wff ps $: <mi mathcolor=#008> ψ </mi> $.
$i wff ch $: <mi mathcolor=#008> χ </mi> $.
$i wff th $: <mi mathcolor=#008> θ </mi> $.
$i wff ta $: <mi mathcolor=#008> τ </mi> $.
$i wff et $: <mi mathcolor=#008> η </mi> $.
$i wff ze $: <mi mathcolor=#008> ζ </mi> $.
$i wff si $: <mi mathcolor=#008> σ </mi> $.
$i wff rh $: <mi mathcolor=#008> ρ </mi> $.
$i wff mu $: <mi mathcolor=#008> μ </mi> $.
$i wff la $: <mi mathcolor=#008> λ </mi> $.
$i wff ka $: <mi mathcolor=#008> κ </mi> $.
$( Set variables, first declared as class $)
$s class x $: #x# $.
$( Set variables $)
$i setvar a $: <mi mathcolor=#800>a</mi> $.
$i setvar b $: <mi mathcolor=#800>b</mi> $.
$i setvar c $: <mi mathcolor=#800>c</mi> $.
$i setvar d $: <mi mathcolor=#800>d</mi> $.
$i setvar e $: <mi mathcolor=#800>e</mi> $.
$i setvar f $: <mi mathcolor=#800>f</mi> $.
$i setvar g $: <mi mathcolor=#800>g</mi> $.
$i setvar h $: <mi mathcolor=#800>h</mi> $.
$i setvar i $: <mi mathcolor=#800>i</mi> $.
$i setvar j $: <mi mathcolor=#800>j</mi> $.
$i setvar k $: <mi mathcolor=#800>k</mi> $.
$i setvar l $: <mi mathcolor=#800>l</mi> $.
$i setvar m $: <mi mathcolor=#800>m</mi> $.
$i setvar n $: <mi mathcolor=#800>n</mi> $.
$i setvar o $: <mi mathcolor=#800>o</mi> $.
$i setvar p $: <mi mathcolor=#800>p</mi> $.
$i setvar q $: <mi mathcolor=#800>q</mi> $.
$i setvar r $: <mi mathcolor=#800>r</mi> $.
$i setvar s $: <mi mathcolor=#800>s</mi> $.
$i setvar t $: <mi mathcolor=#800>t</mi> $.
$i setvar u $: <mi mathcolor=#800>u</mi> $.
$i setvar v $: <mi mathcolor=#800>v</mi> $.
$i setvar w $: <mi mathcolor=#800>w</mi> $.
$i setvar x $: <mi mathcolor=#800>x</mi> $.
$i setvar y $: <mi mathcolor=#800>y</mi> $.
$i setvar z $: <mi mathcolor=#800>z</mi> $.
$( Class variables $)
$i class A $: <mi mathcolor=#808>A</mi> $.
$i class B $: <mi mathcolor=#808>B</mi> $.
$i class C $: <mi mathcolor=#808>C</mi> $.
$i class D $: <mi mathcolor=#808>D</mi> $.
$i class E $: <mi mathcolor=#808>E</mi> $.
$i class F $: <mi mathcolor=#808>F</mi> $.
$i class G $: <mi mathcolor=#808>G</mi> $.
$i class H $: <mi mathcolor=#808>H</mi> $.
$i class I $: <mi mathcolor=#808>I</mi> $.
$i class J $: <mi mathcolor=#808>J</mi> $.
$i class K $: <mi mathcolor=#808>K</mi> $.
$i class L $: <mi mathcolor=#808>L</mi> $.
$i class M $: <mi mathcolor=#808>M</mi> $.
$i class N $: <mi mathcolor=#808>N</mi> $.
$i class O $: <mi mathcolor=#808>O</mi> $.
$i class P $: <mi mathcolor=#808>P</mi> $.
$i class Q $: <mi mathcolor=#808>Q</mi> $.
$i class R $: <mi mathcolor=#808>R</mi> $.
$i class S $: <mi mathcolor=#808>S</mi> $.
$i class T $: <mi mathcolor=#808>T</mi> $.
$i class U $: <mi mathcolor=#808>U</mi> $.
$i class V $: <mi mathcolor=#808>V</mi> $.
$i class W $: <mi mathcolor=#808>W</mi> $.
$i class X $: <mi mathcolor=#808>X</mi> $.
$i class Y $: <mi mathcolor=#808>Y</mi> $.
$i class Z $: <mi mathcolor=#808>Z</mi> $.
$i class ./\ $: <munder accentunder><mi mathcolor=#808>∧</mi> <mo mathcolor=#808>˙</mo></munder> $.
$i class .\/ $: <munder accentunder><mi mathcolor=#808>∨</mi> <mo mathcolor=#808>˙</mo></munder> $.
$i class .<_ $: <munder accentunder><mi mathcolor=#808>≤</mi> <mo mathcolor=#808>˙</mo></munder> $.
$i class .< $: <munder accentunder><mi mathcolor=#808><</mi> <mo mathcolor=#808>˙</mo></munder> $.
$i class .+ $: <munder accentunder><mi mathcolor=#808>+</mi> <mo mathcolor=#808>˙</mo></munder> $.
$i class .- $: <munder accentunder><mi mathcolor=#808>-</mi> <mo mathcolor=#808>˙</mo></munder> $.
$i class .X. $: <munder accentunder><mi mathcolor=#808>×</mi> <mo mathcolor=#808>˙</mo></munder> $.
$i class ./ $: <munder accentunder><mi mathcolor=#808>×</mi> <mo mathcolor=#808>˙</mo></munder> $.
$i class .^ $: <munder accentunder><mi mathcolor=#808>×</mi> <mo mathcolor=#808>˙</mo></munder> $.
$i class .0. $: <munder accentunder><mi mathcolor=#808>0</mi> <mo mathcolor=#808>˙</mo></munder> $.
$i class .1. $: <munder accentunder><mi mathcolor=#808>1</mi> <mo mathcolor=#808>˙</mo></munder> $.
$i class .|| $: <munder accentunder><mi mathcolor=#808>∥</mi> <mo mathcolor=#808>˙</mo></munder> $.
$i class .~ $: <munder accentunder><mi mathcolor=#808>∼</mi> <mo mathcolor=#808>˙</mo></munder> $.
$i class ._|_ $: <munder accentunder><mi mathcolor=#808>⊥</mi> <mo mathcolor=#808>˙</mo></munder> $.
$i class .+^ $: <munder accentunder><mi mathcolor=#808>⨣</mi> <mo mathcolor=#808>˙</mo></munder> $.
$i class .+b $: <munder accentunder><mi mathcolor=#808>✚</mi> <mo mathcolor=#808>˙</mo></munder> $.
$i class .(+) $: <munder accentunder><mi mathcolor=#808>⊕</mi> <mo mathcolor=#808>˙</mo></munder> $.
$i class .* $: <munder accentunder><mi mathcolor=#808>∗</mi> <mo mathcolor=#808>˙</mo></munder> $.
$i class .x. $: <munder accentunder><mi mathcolor=#808>·</mi> <mo mathcolor=#808>˙</mo></munder> $.
$i class .xb $: <munder accentunder><mi mathcolor=#808>∙</mi> <mo mathcolor=#808>˙</mo></munder> $.
$i class ., $: <munder accentunder><mi mathcolor=#808>,</mi> <mo mathcolor=#808>˙</mo></munder> $.
$i class .(x) $: <munder accentunder><mi mathcolor=#808>⊗</mi> <mo mathcolor=#808>˙</mo></munder> $.
$i class .0b $: <munder accentunder><mi mathcolor=#808>𝟎</mi> <mo mathcolor=#808>˙</mo></munder> $.
$( Constants $)
$s wff T. $: <mi href="df-tru.html">⊤</mi> $. $( There is actually an entity &true; $)
$s wff F. $: <mi href="df-fal.html">⊥</mi> $. $( There is actually an entity &false; $)
$s class _V $: <mi href="df-v.html" mathvariant="normal">V</mi> $.
$s class (/) $: <mi href="df-nul.html">∅</mi> $. $( ∅ or ∅ looks like a zero, Ø looks like an O, ⌀ is actually a diameter $)
$s class Undef $: <mi href="df-undef.html">Undef</mi> $.
$s class _E $: <mi href="df-eprel.html" mathvariant="normal">E</mi> $.
$s class _I $: <mi href="df-id.html" mathvariant="normal">I</mi> $.
$s class _S $: <mi href="df-ssr.html" mathvariant="normal">S</mi> $.
$s class O(1) $: <mrow href="df-o1.html"><mo>𝑂</mo><mo>⁡</mo><mfenced><mn>1</mn></mfenced></mrow> $.
$s class <_O(1) $: <mrow href="df-lo1.html"><mo>≤</mo><mo>𝑂</mo><mo>⁡</mo><mfenced><mn>1</mn></mfenced></mrow> $.
$s class odZ $: <msub href="df-odz.html"><mi>od</mi><mi>ℤ</mi></msub> $.
$( Ordinals $)
$s class 1o $: <msub href="df-1o.html"> <mn>1</mn> <mo>𝑜</mo> </msub> $.
$s class 2o $: <msub href="df-2o.html"> <mn>2</mn> <mo>𝑜</mo> </msub> $.
$s class 3o $: <msub href="df-3o.html"> <mn>3</mn> <mo>𝑜</mo> </msub> $.
$s class 4o $: <msub href="df-4o.html"> <mn>4</mn> <mo>𝑜</mo> </msub> $.
$s class On $: <mi href="df-on.html">On</mi> $.
$s class _om $: <mi href="df-om.html" mathvariant="normal">ω</mi> $.
$s class aleph $: <mi href="df-aleph.html">ℵ</mi> $.
$s class CNF $: <mi href="df-cnf.html">CNF</mi> $.
$s class TC $: <mi href="df-tc.html">TC</mi> $.
$s class R1 $: <msub href="df-r1.html"><mi>R</mi><mn>1</mn></msub> $.
$s class rank $: <mi href="df-rank.html">rank</mi> $.
$s class card $: <mi href="df-card.html">card</mi> $.
$s class cf $: <mi href="df-cf.html">cf</mi> $.
$s wff CHOICE $: <mi href="df-ac.html">CHOICE</mi> $.
$s class Fin1a $: <msup href="df-fin1a.html"><mi>Fin</mi><mn>Ia</mn></msup> $.
$s class Fin2 $: <msup href="df-fin2.html"><mi>Fin</mi><mn>II</mn></msup> $.
$s class Fin3 $: <msup href="df-fin3.html"><mi>Fin</mi><mn>III</mn></msup> $.
$s class Fin4 $: <msup href="df-fin4.html"><mi>Fin</mi><mn>IV</mn></msup> $.
$s class Fin5 $: <msup href="df-fin5.html"><mi>Fin</mi><mn>V</mn></msup> $.
$s class Fin6 $: <msup href="df-fin6.html"><mi>Fin</mi><mn>VI</mn></msup> $.
$s class Fin7 $: <msup href="df-fin7.html"><mi>Fin</mi><mn>VII</mn></msup> $.
$s class GCH $: <mi href="df-gch.html">GCH</mi> $.
$s class InaccW $: <msub href="df-wina.html"><mi>Inacc</mi> <mo>𝑤</mo></msub> $.
$s class Inacc $: <mi href="df-ina.html">Inacc</mi> $.
$s class WUni $: <mi href="df-wun.html">WUni</mi> $.
$s class wUniCl $: <mi href="df-wunc.html">wUniCl</mi> $.
$s class Tarski $: <mi href="df-tsk.html">Tarski</mi> $.
$s class Univ $: <mi href="df-gru.html">Univ</mi> $.
$s class tarskiMap $: <mi href="df-tskm.html">tarskiMap</mi> $.
$( Temporary constants used in the construction of ` CC ` $)
$s class N. $: <mi href="df-ni.html">𝑵</mi> $.
$s class +N $: <msub href="df-pli.html"> <mo>+</mo> <mo>𝑵</mo> </msub> $.
$s class .N $: <msub href="df-mi.html"> <mo>⋅</mo> <mo>𝑵</mo> </msub> $.
$s class <N $: <msub href="df-lti.html"> <mo><</mo> <mo>𝑵</mo> </msub> $.
$s class +pQ $: <msub href="df-plpq.html"> <mo>+</mo> <mi>𝑝𝑸</mi> </msub> $.
$s class .pQ $: <msub href="df-mpq.html"> <mo>⋅</mo> <mi>𝑝𝑸</mi> </msub> $.
$s class <pQ $: <msub href="df-ltpq.html"> <mo><</mo> <mi>𝑝𝑸</mi> </msub> $.
$s class ~Q $: <msub href="df-enq.html"> <mo>~</mo> <mi>𝑸</mi> </msub> $.
$s class Q. $: <mi href="df-nq.html">𝑸</mi> </msub> $.
$s class 1Q $: <msub href="df-1nq.html"> <mn>1</mn> <mi>𝑸</mi> </msub> $.
$s class /Q $: <msub href="df-erq.html"> <mo>/</mo> <mi>𝑸</mi> </msub> $.
$s class +Q $: <msub href="df-plq.html"> <mo>+</mo> <mi>𝑸</mi> </msub> $.
$s class .Q $: <msub href="df-mq.html"> <mo>⋅</mo> <mi>𝑸</mi> </msub> $.
$s class *Q $: <msub href="df-rq.html"> <mo>*</mo> <mi>𝑸</mi> </msub> $.
$s class <Q $: <msub href="df-ltnq.html"> <mo><</mo> <mi>𝑸</mi> </msub> $.
$s class P. $: <mi href="df-np.html">𝑷</mi> </msub> $.
$s class 1P $: <msub href="df-1p.html"> <mn>1</mn> <mi>𝑷</mi> </msub> $.
$s class +P. $: <msub href="df-plp.html"> <mo>+</mo> <mi>𝑷</mi> </msub> $.
$s class .P. $: <msub href="df-mp.html"> <mo>⋅</mo> <mi>𝑷</mi> </msub> $.
$s class <P $: <msub href="df-ltp.html"> <mo><</mo> <mi>𝑷</mi> </msub> $.
$s class ~R $: <msub href="df-enr.html"> <mo>~</mo> <mi>𝑹</mi> </msub> $.
$s class R. $: <mi href="df-nr.html">𝑹</mi> $.
$s class 0R $: <msub href="df-0r.html"> <mn>0</mn> <mi>𝑹</mi> </msub> $.
$s class 1R $: <msub href="df-1r.html"> <mn>1</mn> <mi>𝑹</mi> </msub> $.
$s class -1R $: <msub href="df-m1r.html"> <mn>-1</mn> <mi>𝑹</mi> </msub> $.
$s class +R $: <msub href="df-plr.html"> <mo>+</mo> <mi>𝑹</mi> </msub> $.
$s class .R $: <msub href="df-mr.html"> <mo>⋅</mo> <mi>𝑹</mi> </msub> $.
$s class <R $: <msub href="df-ltr.html"> <mo><</mo> <mi>𝑹</mi> </msub> $.
$( Strutures $)
$s class Slot A $: <mrow><mi href="df-cnfld.html">Slot</mi> #A# </mrow> $.
$s class |`s $: <msub href="df-ress.html"><mo>↾</mo> <mi>𝑠</mi></msub> $.
$s class +g $: <msub href="df-plusg.html"> <mo>+</mo> <mi>𝑔</mi> </msub> $.
$s class +f $: <msub href="df-plusf.html"> <mo>+</mo> <mi>𝑓</mi> </msub> $.
$s class 0g $: <msub href="df-0g.html"> <mn>0</mn> <mi>𝑔</mi> </msub> $.
$s class -g $: <msub href="df-sbg.html"> <mo>-</mo> <mi>𝑔</mi> </msub> $.
$s class .g $: <msub href="df-mulg.html"> <mn>⋅</mn> <mi>𝑔</mi> </msub> $.
$s class .r $: <msub href="df-mulr.html"> <mo>⋅</mo> <mi>𝑟</mi> </msub> $.
$s class *r $: <msub href="df-starv.html"> <mo>∗</mo> <mi>𝑟</mi> </msub> $.
$s class .s $: <msub href="df-vsca.html"> <mo>⋅</mo> <mi>𝑠</mi> </msub> $.
$s class .i $: <msub href="df-ip.html"> <mo>⋅</mo> <mi>𝑖</mi> </msub> $.
$s class |`t $: <msub href="df-rest.html"><mo>↾</mo> <mi>𝑡</mi></msub> $.
$s class Xt_ $: <msub href="df-pt.html"><mo>∏</mo> <mi>𝑡</mi></msub> $.
$s class Xs_ $: <msub href="df-prds.html"><mo>⨉</mo> <mi>𝑠</mi></msub> $.
$s class ^s $: <msub href="df-pws.html"><mo>↑</mo> <mi>𝑠</mi></msub> $.
$s class RR*s $: <msubsup href="df-xrs.html"><mo>ℝ</mo> <mi>𝑠</mi> <mo>*</mo></msubsup> $.
$s class "s $: <msub href="df-imas.html"><mo>“</mo> <mi>𝑠</mi></msub> $.
$s class /s $: <msub href="df-divs.html"><mo>/</mo> <mi>𝑠</mi></msub> $.
$s class Xs. $: <msub href="df-xps.html"><mo>×</mo> <mi>𝑠</mi></msub> $.
$s class |`v $: <msub href="df-resv.html"><mo>↾</mo> <mi>𝑣</mi></msub> $.
$s class *rf $: <msub href="df-staf.html"> <mo>∗</mo> <mi>𝑟𝑓</mi> </msub> $.
$s class *Ring $: <mi href="df-srng.html">*-Ring</mi> $.
$s class .sf $: <msub href="df-scaf.html"> <mo>⋅</mo> <mi>𝑠𝑓</mi> </msub> $.
$s class ~=m $: <msub href="df-lmic.html"> <mo>≃</mo> <mi>𝑚</mi> </msub> $.
$s class *Met $: <mi href="df-xmet.html">∞Met</mi> $.
$s class *MetSp $: <mi href="df-xms.html">∞MetSp</mi> $.
$s class Z/nZ $: <mi href="df-zn.html">ℤ/nℤ</mi> $.
$s class CCfld $: <msub href="df-cnfld.html"> <mi>ℂ</mi> <mi>fld</mi> </msub> $.
$s class RRfld $: <msub href="df-refld.html"> <mi>ℝ</mi> <mi>fld</mi> </msub> $.
$s class ZZring $: <msub href="df-zring.html"> <mi>ℤ</mi> <mi>ring</mi> </msub> $.
$s class CHil $: <mi href="df-hl.html">ℂHil</mi> $.
$s class CVec $: <mi href="df-cvs.html">ℂVec</mi> $.
$s class EEhil $: <msub href="df-ehl.html"> <mi>𝔼</mi> <mi>hil</mi> </msub> $.
$s class RR^ $: <mi href="df-rrx.html">ℝ↑</mi> $.
$s class ( RR^ ` A ) $: <msup><mi href="df-rrx.html"> #A# </msup> $.
$s class invg $: <msub href="df-minusg.html"><mo>inv</mo> <mo>g</mo></msub> $.
$s class invr $: <msub href="df-invr.html"><mo>inv</mo> <mi>r</mi></msub> $.
$s class ~=g $: <msub href="df-gic.html"><mo>≃</mo> <mo>𝑔</mo></msub> $.
$s class oppG $: <msub href="df-oppg.html"><mo>opp</mo> <mo>𝑔</mo></msub> $.
$s class oppR $: <msub href="df-oppr.html"><mo>opp</mo> <mi>r</mi></msub> $.
$s class proj1 $: <msub href="df-pj1.html"><mo>proj</mo> <mn>1</mn></msub> $.
$s class ~QG $: <msub href="df-eqg.html"><mo>~</mo> <mi mathvariant="italic">QG</mi></msub> $.
$s class ~FG $: <msub href="df-efg.html"><mo>~</mo> <mi mathvariant="italic">FG</mi></msub> $.
$s class varFMnd $: <msub href="df-vrmd.html"><mo>var</mo> <mi mathvariant="italic">FMnd</mi></msub> $.
$s class varFGrp $: <msub href="df-vrgp.html"><mo>var</mo> <mi mathvariant="italic">FGrp</mi></msub> $.
$s class 1r $: <msub href="df-ur.html"><mn>1</mn> <mi>r</mi></msub> $.
$s class ||r $: <msub href="df-dvdsr.html"><mo>∥</mo> <mi>r</mi></msub> $.
$s class /r $: <msub href="df-dvr.html"><mo>/</mo> <mi>r</mi></msub> $.
$( Category Theory $)
$s class Homf $: <msub href="df-homf.html"><mi>Hom</mi> <mi>𝑓</mi></msub> $.
$s class comf $: <msub href="df-comf.html"><mi>comp</mi> <mi>𝑓</mi></msub> $.
$s class C_cat $: <msub href="df-ssc.html"><mo>⊆</mo> <mi>cat</mi></msub> $.
$s class |`cat $: <msub href="df-resc.html"><mo>↾</mo> <mi>cat</mi></msub> $.
$s class idFunc $: <msub href="df-idfu.html"><mo>id</mo> <mi>func</mi></msub> $.
$s class o.func $: <msub href="df-cofu.html"><mo>∘</mo> <mi>func</mi></msub> $.
$s class |`f $: <msub href="df-resf.html"><mo>↾</mo> <mi>f</mi></msub> $.
$s class domA $: <msub href="df-doma.html"><mo>dom</mo> <mi>a</mi></msub> $.
$s class codA $: <msub href="df-coda.html"><mo>cod</mo> <mi>a</mi></msub> $.
$s class HomA $: <msub href="df-homa.html"><mo>Hom</mo> <mi>a</mi></msub> $.
$s class IdA $: <msub href="df-ida.html"><mo>Id</mo> <mi>a</mi></msub> $.
$s class compA $: <msub href="df-coa.html"><mo>comp</mo> <mi>a</mi></msub> $.
$s class Xc. $: <msub href="df-xpc.html"><mo>×</mo> <mi>c</mi></msub> $.
$s class 1stF $: <msub href="df-1stf.html"><msup><mo>1</mo> <mo>st</mo></msup> <mi>F</mi></msub> $.
$s class 2ndF $: <msub href="df-2ndf.html"><msup><mo>2</mo> <mo>nd</mo></msup> <mi>F</mi></msub> $.
$s class pairF $: <msub href="df-prf.html"><mo>⟨,⟩</mo> <mi>F</mi></msub> $.
$s class evalF $: <msub href="df-evlf.html"><mo>eval</mo> <mi>F</mi></msub> $.
$s class curryF $: <msub href="df-curf.html"><mo>curry</mo> <mi>F</mi></msub> $.
$s class uncurryF $: <msub href="df-uncf.html"><mo>uncurry</mo> <mi>F</mi></msub> $.
$s class DiagFunc $: <msub href="df-diag.html"><mo>Δ</mo> <mi>func</mi></msub> $.
$s class HomF $: <msub href="df-hof.html"><mo>Hom</mo> <mi>F</mi></msub> $.
$s class Yon $: <mi href="df-yon.html">Yon</mi> $.
$s class RngCat $: <mi href="df-rngc.html">RngCat</mi> $.
$s class RingCat $: <mi href="df-ringc.html">RingCat</mi> $.
$s class ExtStrCat $: <mi href="df-estrc.html">ExtStrCat</mi> $.
$s class RngCatALTV $: <mi href="df-rngcALTV.html">RngCatALTV</mi> $.
$s class RingCatALTV $: <mi href="df-ringcALTV.html">RingCatALTV</mi> $.
$s class InitO $: <mi href="df-inito.html">InitO</mi> $.
$s class TermO $: <mi href="df-termo.html">TermO</mi> $.
$s class ZeroO $: <mi href="df-zeroo.html">ZeroO</mi> $.
$s class 0. $: <mi href="df-p0.html">0.</mi> $.
$s class 1. $: <mi href="df-p1.html">1.</mi> $.
$s class lastS $: <mi href="df-lswrd.html">lastS</mi> $.
$s class repeatS $: <mi href="df-reps.html">repeatS</mi> $.
$s class cyclShift $: <mi href="df-csh.html">cyclShift</mi> $.
$s class <bag $: <msub href="df-ltbag.html"><mo><</mo> <mo>bag</mo></msub> $.
$( Analysis $)
$s class NN $: <mi href="df-nn.html"> ℕ </mi> $.
$s class ZZ $: <mi href="df-z.html"> ℤ </mi> $.
$s class NN0 $: <msub href="df-n0.html"> <mi> ℕ </mi><mn> 0 </mn></msub> $.
$s class NN0* $: <msubsup href="df-n0.html"> <mi> ℕ </mi><mn> 0 </mn><mo> * </mo></msubsup> $.
$s class QQ $: <mi href="df-q.html"> ℚ </mi> $.
$s class RR $: <mi href="df-r.html"> ℝ </mi> $.
$s class RR* $: <msup href="df-xr.html"> <mi> ℝ </mi><mo> * </mo></msup> $.
$s class RR+ $: <msup href="df-rp.html"> <mi> ℝ </mi><mo> + </mo></msup> $.
$s class CC $: <mi href="df-c.html"> ℂ </mi> $.
$s class Z[i] $: <mrow href="df-gz.html"> <mi>ℤ</mi> <mfenced open="[" close="]"><mi>i</mi></mfenced> </mrow> $.
$s class L^1 $: <msup href="df-ibl.html"> <mi>𝐿</mi> <mn>1</mn> </msup> $.
$s class Fin $: <mi href="df-fin.html">Fin</mi> $.
$s class +oo $: <mi href="df-pnf.html">+∞</mi> $.
$s class -oo $: <mi href="df-mnf.html">−∞</mi> $.
$s class 0p $: <msub href="df-0p.html"> <mn>0</mn> <mo>𝑝</mo> </msub> $.
$s class 1/_G $: <mfrac href="df-igam.html"><mn>1</mn> <mi mathvariant="normal">Γ</mi></mfrac> $.
$( Number-theoretical functions $)
$s class ppi $: <munder href="df-ppi.html"><mo>π</mo> <mo>_</mo></munder> $.
$s class theta $: <mi href="df-cht.html">θ</mi> $.
$s class Lam $: <mi href="df-vma.html">Λ</mi> $.
$s class psi $: <mi href="df-chp.html">ψ</mi> $.
$s class mmu $: <mi href="df-mu.html">μ</mi> $.
$s class sigma $: <mi href="df-sgm.html"> σ </mi> $.
$s class #p $: <msub href="df-prmo.html"><mi> # </mi> <mi> p </mi></msub> $.
$s class 1stc $: <mrow href="df-1stc.html"> <msup><mo>1</mo> <mo>st</mo></msup> <mi>𝜔</mi> </mrow> $. $( math italic omega $)
$s class 2ndc $: <mrow href="df-2ndc.html"> <msup><mo>2</mo> <mo>nd</mo></msup> <mi>𝜔</mi> </mrow> $. $( math italic omega $)
$( Geometry $)
$s class TarskiG $: <msub href="df-trkg.html"><mo>𝒢</mo> <mi>Tarski</mi></msub> $.
$s class TarskiGC $: <msubsup href="df-trkgc.html"><mo>𝒢</mo> <mi>Tarski</mi> <mi>C</mi></msubsup> $.
$s class TarskiGB $: <msubsup href="df-trkgb.html"><mo>𝒢</mo> <mi>Tarski</mi> <mi>B</mi></msubsup> $.
$s class TarskiGCB $: <msubsup href="df-trkgcb.html"><mo>𝒢</mo> <mi>Tarski</mi> <mi>CB</mi></msubsup> $.
$s class TarskiGDim>= $: <mrow href="df-trkgld.html"><msub><mi>Dim</mi> <mi>𝒢</mi></msub> <mo>≥</mo></mrow> $.
$s class TarskiG2D $: <msubsup href="df-trkg2d.html"><mo>𝒢</mo> <mi>Tarski</mi> <mi>2D</mi></msubsup> $.
$s class TarskiGE $: <msubsup href="df-trkge.html"><mo>𝒢</mo> <mi>Tarski</mi> <mi>E</mi></msubsup> $.
$s class Itv $: <mi href="df-itv.html"> Itv </mi> $.
$s class LineG $: <msub href="df-lineg.html"><mo>Line</mo> <mo>𝒢</mo></msub> $.
$s class cgrG $: <msub href="df-cgrg.html"><mo>∼</mo> <mo>𝒢</mo></msub> $.
$s class leG $: <msub href="df-leg.html"><mo>≤</mo> <mo>𝒢</mo></msub> $.
$s class hlG $: <msub href="df-hlg.html"><mo>hl</mo> <mo>𝒢</mo></msub> $.
$s class midG $: <msub href="df-mid.html"><mo>mid</mo> <mo>𝒢</mo></msub> $.
$s class pInvG $: <msub href="df-mir.html"><mo>pInv</mo> <mo>𝒢</mo></msub> $.
$s class lInvG $: <msub href="df-lmi.html"><mo>lInv</mo> <mo>𝒢</mo></msub> $.
$s class raG $: <msub href="df-rag.html"><mo>∟</mo> <mo>𝒢</mo></msub> $.
$s class perpG $: <msub href="df-perp.html"><mo>⟂</mo> <mo>𝒢</mo></msub> $.
$s class cgrA $: <msubsup href="df-cgra.html"><mo>∼</mo> <mo>𝒢</mo> <mo>∠</mo></msubsup> $.
$s class inA $: <msubsup href="df-inag.html"><mo>∈</mo> <mo>𝒢</mo> <mo>∠</mo></msubsup> $.
$s class leA $: <msubsup href="df-leag.html"><mo>≤</mo> <mo>𝒢</mo> <mo>∠</mo></msubsup> $.
$s class eqltrG $: <msub href="df-eqlg.html"><mo>Equilaterals</mo> <mo>𝒢</mo></msub> $.
$s class toTG $: <msub href="df-ttg.html"><mo>to𝒢</mo> <mi>Tarski</mi></msub> $.
$s class EEG $: <msub href="df-eeg.html"><mo>𝔼</mo> <mo>𝒢</mo></msub> $.
$s class AFS $: <mo href="df-afs.html">AFS</mo> $.
$s class Ismt $: <mo href="df-ismt.html">Ismt</mo> $.
$s class hpG $: <msub href="df-hpg.html"><mo>hp</mo> <mo>𝒢</mo></msub> $.
$( Spheres and lines in real Euclidean spaces $)
$s class LineM $: <msub href="df-line.html"><mo>Line</mo> <mo>M</mo></msub> $.
$s class Sphere $: <mo href="df-sph.html">Sphere</mo> $.
$( Commented out in set.mm
$s class supw $: <msub href="df-spw.html"><mo>sup</mo> <mo>w</mo></msub> $.
$s class infw $: <msub href="df-nfw.html"><mo>inf</mo> <mo>w</mo></msub> $.
$s class ceiling $: <mi href="df-ceiling.html">⌈</mi> $.
$s class LatRel $: <mi href="df-lar.html">LatRel</mi> $.
$)
$( Constant classes with simple "mi" rules
(this part has been generated from the althtmldef rules of set.mm) $)
$s class On $: <mi href="df-on.html">On</mi> $.
$s class Undef $: <mi href="df-undef.html">Undef</mi> $.
$s class Fin $: <mi href="df-fin.html">Fin</mi> $.
$s class fi $: <mi href="df-fi.html">fi</mi> $.
$s class har $: <mi href="df-har.html">har</mi> $.
$s class CNF $: <mi href="df-cnf.html"> CNF </mi> $.
$s class TC $: <mi href="df-tc.html">TC</mi> $.
$s class rank $: <mi href="df-rank.html">rank</mi> $.
$s class card $: <mi href="df-card.html">card</mi> $.
$s class aleph $: <mi href="df-aleph.html">ℵ</mi> $.
$s class cf $: <mi href="df-cf.html">cf</mi> $.
$s class Inacc $: <mi href="df-ina.html">Inacc</mi> $.
$s class WUni $: <mi href="df-wun.html">WUni</mi> $.
$s class wUniCl $: <mi href="df-wunc.html">wUniCl</mi> $.
$s class Tarski $: <mi href="df-tsk.html">Tarski</mi> $.
$s class Univ $: <mi href="df-gru.html">Univ</mi> $.
$s class tarskiMap $: <mi href="df-tskm.html">tarskiMap</mi> $.
$s class supp $: <mi href="df-supp.html">supp</mi> $.
$s class finSupp $: <mi href="df-supp.html">finSupp</mi> $.
$s class CC $: <mi href="df-c.html">ℂ</mi> $.
$s class RR $: <mi href="df-r.html">ℝ</mi> $.
$s class _i $: <mi href="df-i.html" mathvariant="normal">i</mi> $. $( There is actually an entity ⅈ $)
$s class NN $: <mi href="df-nn.html">ℕ</mi> $.
$s class ZZ $: <mi href="df-z.html">ℤ</mi> $.
$s class QQ $: <mi href="df-q.html">ℚ</mi> $.
$s class mod $: <mi href="df-mod.html"> mod </mi> $.
$s class ++ $: <mi href="df-concat.html"> ++ </mi> $.
$s class substr $: <mi href="df-substr.html"> substr </mi> $.
$s class splice $: <mi href="df-splice.html"> splice </mi> $.
$s class reverse $: <mi href="df-reverse.html">reverse</mi> $.
$s class leftpad $: <mi href="df-leftpad.html">leftpad</mi> $.
$s class shift $: <mi href="df-shft.html">shift</mi> $.
$s class Re $: <mi href="df-re.html">ℜ</mi> $.
$s class Im $: <mi href="df-im.html">ℑ</mi> $.
$s class sqrt $: <mi href="df-sqrt.html">√</mi> $.
$s class abs $: <mi href="df-abs.html">abs</mi> $.
$s class limsup $: <mi href="df-limsup.html">lim sup</mi> $.
$s class exp $: <mi href="df-ef.html">exp</mi> $.
$s class _e $: <mi href="df-e.html" mathvariant="normal">e</mi> $.
$s class sin $: <mi href="df-sin.html">sin</mi> $.
$s class cos $: <mi href="df-cos.html">cos</mi> $.
$s class tan $: <mi href="df-tan.html">tan</mi> $.
$s class _pi $: <mi href="df-pi.html" mathvariant="normal">π</mi> $.
$s class bits $: <mi href="df-bits.html">bits</mi> $.
$s class sadd $: <mi href="df-sad.html">sadd</mi> $.
$s class smul $: <mi href="df-smu.html">smul</mi> $.
$s class gcd $: <mi href="df-gcd.html">gcd</mi> $.
$s class Prime $: <mi href="df-prm.html">ℙ</mi> $.
$s class numer $: <mi href="df-numer.html">numer</mi> $.
$s class denom $: <mi href="df-denom.html">denom</mi> $.
$s class phi $: <mi href="df-phi.html" mathvariant="normal">ϕ</mi> $.
$s class pCnt $: <mi href="df-pc.html">pCnt</mi> $.
$s class AP $: <mi href="df-vdwap.html">AP</mi> $.
$s class MonoAP $: <mi href="df-vdwmc.html">MonoAP</mi> $.
$s class PolyAP $: <mi href="df-vdwpc.html">PolyAP</mi> $.
$s class Ramsey $: <mi href="df-ram.html">Ramsey</mi> $.
$s class Struct $: <mi href="df-struct.html">Struct</mi> $.
$s class ndx $: <mi href="df-ndx.html">ndx</mi> $.
$s class sSet $: <mi href="df-sets.html">sSet</mi> $.
$s class Base $: <mi href="df-base.html">Base</mi> $.
$s class Scalar $: <mi href="df-sca.html">Scalar</mi> $.
$s class TopSet $: <mi href="df-tset.html">TopSet</mi> $.
$s class le $: <mi href="df-ple.html">le</mi> $.
$s class oc $: <mi href="df-ocomp.html">oc</mi> $.
$s class dist $: <mi href="df-ds.html">dist</mi> $.
$s class Hom $: <mi href="df-linm.html">Hom</mi> $.
$s class comp $: <mi href="df-cco.html">comp</mi> $.
$s class TopOpen $: <mi href="df-topn.html">TopOpen</mi> $.
$s class topGen $: <mi href="df-topgen.html">topGen</mi> $.
$s class ordTop $: <mi href="df-ordt.html">ordTop</mi> $.
$s class qTop $: <mi href="df-qtop.html"> qTop </mi> $.
$s class Moore $: <mi href="df-mre.html">Moore</mi> $.
$s class mrCls $: <mi href="df-mrc.html">mrCls</mi> $.
$s class mrInd $: <mi href="df-mri.html">mrInd</mi> $.
$s class ACS $: <mi href="df-acs.html">ACS</mi> $.
$s class Cat $: <mi href="df-cat.html">Cat</mi> $.
$s class Id $: <mi href="df-cid.html">Id</mi> $.
$s class oppCat $: <mi href="df-oppc.html">oppCat</mi> $.
$s class Mono $: <mi href="df-mon.html">Mono</mi> $.
$s class Epi $: <mi href="df-epi.html">Epi</mi> $.
$s class Sect $: <mi href="df-sect.html">Sect</mi> $.
$s class Inv $: <mi href="df-inv.html">Inv</mi> $.
$s class Iso $: <mi href="df-iso.html">Iso</mi> $.
$s class Subcat $: <mi href="df-subc.html">Subcat</mi> $.
$s class Func $: <mi href="df-func.html">Func</mi> $.
$s class Full $: <mi href="df-full.html">Full</mi> $.
$s class Faith $: <mi href="df-fth.html">Faith</mi> $.
$s class Nat $: <mi href="df-nat.html">Nat</mi> $.
$s class FuncCat $: <mi href="df-fuc.html">FuncCat</mi> $.
$s class Arrow $: <mi href="df-arw.html">Arrow</mi> $.
$s class SetCat $: <mi href="df-setc.html">SetCat</mi> $.
$s class CatCat $: <mi href="df-catc.html">CatCat</mi> $.
$s class Proset $: <mi href="df-proset.html"> Proset </mi> $.
$s class Dirset $: <mi href="df-drs.html">Dirset</mi> $.
$s class Poset $: <mi href="df-poset.html">Poset</mi> $.
$s class lt $: <mi href="df-plt.html">lt</mi> $.
$s class lub $: <mi href="df-lubOLD.html">lub</mi> $.
$s class glb $: <mi href="df-glb.html">glb</mi> $.
$s class join $: <mi href="df-join.html">join</mi> $.
$s class meet $: <mi href="df-meet.html">meet</mi> $.
$s class Toset $: <mi href="df-toset.html">Toset</mi> $.
$s class Lat $: <mi href="df-lat.html">Lat</mi> $.
$s class CLat $: <mi href="df-clat.html">CLat</mi> $.
$s class ODual $: <mi href="df-odu.html">ODual</mi> $.
$s class toInc $: <mi href="df-ipo.html">toInc</mi> $.
$s class DLat $: <mi href="df-dlat.html">DLat</mi> $.
$s class PosetRel $: <mi href="df-ps.html">PosetRel</mi> $.
$s class TosetRel $: <mi href="df-tsr.html">TosetRel</mi> $.
$s class DirRel $: <mi href="df-dir.html">DirRel</mi> $.
$s class tail $: <mi href="df-tail.html">tail</mi> $.
$s class Mgm $: <mi href="df-mgm.html">Mgm</mi> $.
$s class Mnd $: <mi href="df-mnd.html">Mnd</mi> $.
$s class SGrp $: <mi href="df-sgrp.html">SGrp</mi> $.
$s class Grp $: <mi href="df-grp.html">Grp</mi> $.
$s class MgmHom $: <mi href="df-mgmhm.html"> MgmHom </mi> $.
$s class MndHom $: <mi href="df-mhm.html"> MndHom </mi> $.
$s class SubMgm $: <mi href="df-submgm.html">SubMgm</mi> $.
$s class SubMnd $: <mi href="df-submnd.html">SubMnd</mi> $.
$s class freeMnd $: <mi href="df-frmd.html">freeMnd</mi> $.
$s class SubGrp $: <mi href="df-subg.html">SubGrp</mi> $.
$s class NrmSGrp $: <mi href="df-nsg.html">NrmSGrp</mi> $.
$s class GrpHom $: <mi href="df-ghm.html"> GrpHom </mi> $.
$s class GrpIso $: <mi href="df-gim.html"> GrpIso </mi> $.
$s class GrpAct $: <mi href="df-ga.html"> GrpAct </mi> $.
$s class SymGrp $: <mi href="df-symg.html">SymGrp</mi> $.
$s class Cntz $: <mi href="df-cntz.html">Cntz</mi> $.
$s class Cntr $: <mi href="df-cntr.html">Cntr</mi> $.
$s class od $: <mi href="df-od.html">od</mi> $.
$s class gEx $: <mi href="df-gex.html">gEx</mi> $.
$s class pGrp $: <mi href="df-pgp.html"> pGrp </mi> $.
$s class pSyl $: <mi href="df-slw.html"> pSyl </mi> $.
$s class LSSum $: <mi href="df-lsm.html">LSSum</mi> $.
$s class freeGrp $: <mi href="df-frgp.html">freeGrp</mi> $.
$s class CMnd $: <mi href="df-cmn.html">CMnd</mi> $.
$s class Abel $: <mi href="df-abl.html">Abel</mi> $.
$s class CycGrp $: <mi href="df-cyg.html">CycGrp</mi> $.
$s class DProd $: <mi href="df-dprd.html"> DProd </mi> $.
$s class dProj $: <mi href="df-dpj.html">dProj</mi> $.
$s class mulGrp $: <mi href="df-mgp.html">mulGrp</mi> $.
$s class Rng $: <mi href="df-rng.html">Rng</mi> $.
$s class Ring $: <mi href="df-ring.html">Ring</mi> $.
$s class CRing $: <mi href="df-cring.html">CRing</mi> $.
$s class Unit $: <mi href="df-unit.html">Unit</mi> $.
$s class Irred $: <mi href="df-irred.html">Irred</mi> $.
$s class RngHomo $: <mi href="df-rnghomo.html"> RngHomo </mi> $.
$s class RngIsom $: <mi href="df-rngisom.html"> RngIsom </mi> $.
$s class RingHom $: <mi href="df-rnghom.html"> RingHom </mi> $.
$s class RingIso $: <mi href="df-rngiso.html"> RingIso </mi> $.
$s class ~=r $: <msub href="df-ric.html"> <mo>≃</mo> <mi>𝑟</mi> </msub> $.
$s class DivRing $: <mi href="df-drng.html">DivRing</mi> $.
$s class Field $: <mi href="df-field.html">Field</mi> $.
$s class SubRing $: <mi href="df-subrg.html">SubRing</mi> $.
$s class RingSpan $: <mi href="df-rgspn.html">RingSpan</mi> $.
$s class AbsVal $: <mi href="df-abv.html">AbsVal</mi> $.
$s class LMod $: <mi href="df-lmod.html">LMod</mi> $.
$s class LSubSp $: <mi href="df-lss.html">LSubSp</mi> $.
$s class LSpan $: <mi href="df-lsp.html">LSpan</mi> $.
$s class LMHom $: <mi href="df-lmhm.html"> LMHom </mi> $.
$s class LMIso $: <mi href="df-lmim.html"> LMIso </mi> $.
$s class LBasis $: <mi href="df-lbs.html">LBasis</mi> $.
$s class LVec $: <mi href="df-lvec.html">LVec</mi> $.
$s class subringAlg $: <mi href="df-sra.html"> subringAlg </mi> $.
$s class ringLMod $: <mi href="df-rgmod.html">ringLMod</mi> $.
$s class LIdeal $: <mi href="df-lidl.html">LIdeal</mi> $.
$s class RSpan $: <mi href="df-rsp.html">RSpan</mi> $.
$s class 2Ideal $: <mi href="df-2idl.html">2Ideal</mi> $.
$s class LPIdeal $: <mi href="df-lpidl.html">LPIdeal</mi> $.
$s class LPIR $: <mi href="df-lpir.html">LPIR</mi> $.
$s class NzRing $: <mi href="df-nzr.html">NzRing</mi> $.
$s class RLReg $: <mi href="df-rlreg.html">RLReg</mi> $.
$s class Domn $: <mi href="df-domn.html">Domn</mi> $.
$s class IDomn $: <mi href="df-idom.html">IDomn</mi> $.
$s class PID $: <mi href="df-pid.html">PID</mi> $.
$s class AssAlg $: <mi href="df-assa.html">AssAlg</mi> $.
$s class AlgSpan $: <mi href="df-asp.html">AlgSpan</mi> $.
$s class algSc $: <mi href="df-ascl.html">algSc</mi> $.
$s class mPwSer $: <mi href="df-psr.html"> mPwSer </mi> $.
$s class mVar $: <mi href="df-mvr.html"> mVar </mi> $.
$s class mPoly $: <mi href="df-mpl.html"> mPoly </mi> $.
$s class evalSub $: <mi href="df-evls.html"> evalSub </mi> $.
$s class eval $: <mi href="df-evl.html"> eval </mi> $.
$s class mHomP $: <mi href="df-mhp.html"> mHomP </mi> $.
$s class mPSDer $: <mi href="df-psd.html"> mPSDer </mi> $.
$s class ordPwSer $: <mi href="df-opsr.html"> ordPwSer </mi> $.
$s class selectVars $: <mi href="df-selv.html"> selectVars </mi> $.
$s class AlgInd $: <mi href="df-algind.html"> AlgInd </mi> $.
$s class Met $: <mi href="df-met.html">Met</mi> $.
$s class ball $: <mi href="df-bl.html">ball</mi> $.
$s class MetOpen $: <mi href="df-mopn.html">MetOpen</mi> $.
$s class chr $: <mi href="df-chr.html">chr</mi> $.
$s class PreHil $: <mi href="df-phl.html">PreHil</mi> $.
$s class ocv $: <mi href="df-ocv.html">ocv</mi> $.
$s class ClSubSp $: <mi href="df-css.html">ClSubSp</mi> $.
$s class toHL $: <mi href="df-thl.html">toHL</mi> $.
$s class proj $: <mi href="df-pj.html">proj</mi> $.
$s class Hil $: <mi href="df-hil.html">Hil</mi> $.
$s class OBasis $: <mi href="df-obs.html">OBasis</mi> $.
$s class Top $: <mi href="df-top.html">Top</mi> $.
$s class TopOn $: <mi href="df-topon.html">TopOn</mi> $.
$s class TopSp $: <mi href="df-topsp.html">TopSp</mi> $.
$s class TopBases $: <mi href="df-bases.html">TopBases</mi> $.
$s class Clsd $: <mi href="df-cld.html">Clsd</mi> $.
$s class int $: <mi href="df-ntr.html">int</mi> $.
$s class cls $: <mi href="df-clsOLD.html">cls</mi> $.
$s class nei $: <mi href="df-nei.html">nei</mi> $.
$s class limPt $: <mi href="df-lp.html">limPt</mi> $.
$s class Perf $: <mi href="df-perf.html">Perf</mi> $.
$s class Cn $: <mi href="df-cn.html">Cn</mi> $.
$s class CnP $: <mi href="df-cnp.html">CnP</mi> $.
$s class Kol2 $: <mi href="df-t0.html">Kol2</mi> $.
$s class Fre $: <mi href="df-t1.html">Fre</mi> $.
$s class Haus $: <mi href="df-haus.html">Haus</mi> $.
$s class Reg $: <mi href="df-reg.html">Reg</mi> $.
$s class Nrm $: <mi href="df-nrm.html">Nrm</mi> $.
$s class CNrm $: <mi href="df-cnrm.html">CNrm</mi> $.
$s class PNrm $: <mi href="df-pnrm.html">PNrm</mi> $.
$s class Comp $: <mi href="df-cmp.html">Comp</mi> $.
$s class Conn $: <mi href="df-conn.html">Conn</mi> $.
$s class kGen $: <mi href="df-kgen.html">𝑘Gen</mi> $.
$s class KQ $: <mi href="df-kq.html">KQ</mi> $.
$s class Homeo $: <mi href="df-hmeo.html">Homeo</mi> $.
$s class fBas $: <mi href="df-fbas.html">fBas</mi> $.
$s class filGen $: <mi href="df-fg.html">filGen</mi> $.
$s class Fil $: <mi href="df-fil.html">Fil</mi> $.
$s class UFil $: <mi href="df-ufil.html">UFil</mi> $.
$s class UFL $: <mi href="df-ufl.html">UFL</mi> $.
$s class FilMap $: <mi href="df-fm.html"> FilMap </mi> $.
$s class fLim $: <mi href="df-flim.html"> fLim </mi> $.
$s class fLimf $: <mi href="df-flf.html"> fLimf </mi> $.
$s class fClus $: <mi href="df-fcls.html"> fClus </mi> $.
$s class fClusf $: <mi href="df-fcf.html"> fClusf </mi> $.
$s class TopMnd $: <mi href="df-tmd.html">TopMnd</mi> $.
$s class TopGrp $: <mi href="df-tgp.html">TopGrp</mi> $.
$s class tsums $: <mi href="df-tsms.html">tsums</mi> $.
$s class TopRing $: <mi href="df-trg.html">TopRing</mi> $.
$s class TopDRing $: <mi href="df-tdrg.html">TopDRing</mi> $.
$s class TopMod $: <mi href="df-tlm.html">TopMod</mi> $.
$s class TopVec $: <mi href="df-tvc.html">TopVec</mi> $.
$s class MetSp $: <mi href="df-ms.html">MetSp</mi> $.
$s class toMetSp $: <mi href="df-tms.html">toMetSp</mi> $.
$s class norm $: <mi href="df-norm.html">norm</mi> $.
$s class NrmGrp $: <mi href="df-ngp.html">NrmGrp</mi> $.
$s class toNrmGrp $: <mi href="df-tng.html"> toNrmGrp </mi> $.
$s class NrmRing $: <mi href="df-nrg.html">NrmRing</mi> $.
$s class NrmMod $: <mi href="df-nlm.html">NrmMod</mi> $.
$s class NrmVec $: <mi href="df-nvc.html">NrmVec</mi> $.
$s class normOp $: <mi href="df-nmo.html"> normOp </mi> $.
$s class NGHom $: <mi href="df-nghm.html"> NGHom </mi> $.
$s class NMHom $: <mi href="df-nmhm.html"> NMHom </mi> $.
$s class II $: <mi href="df-ii.html">II</mi> $.
$s class Htpy $: <mi href="df-htpy.html"> Htpy </mi> $.
$s class PHtpy $: <mi href="df-phtpy.html">PHtpy</mi> $.
$s class CMod $: <mi href="df-clm.html">CMod</mi> $.
$s class CPreHil $: <mi href="df-cph.html">CPreHil</mi> $.
$s class toCPreHil $: <mi href="df-tcph.html">toCPreHil</mi> $.
$s class CauFil $: <mi href="df-cfil.html">CauFil</mi> $.
$s class CauFilU $: <mi href="df-cfilu.html">CauFilU</mi> $.
$s class Cau $: <mi href="df-cau.html">Cau</mi> $.
$s class CMet $: <mi href="df-cmet.html">CMet</mi> $.
$s class CMetSp $: <mi href="df-cms.html">CMetSp</mi> $.
$s class Ban $: <mi href="df-bn.html">Ban</mi> $.
$s class mDeg $: <mi href="df-mdeg.html"> mDeg </mi> $.
$s class Poly $: <mi href="df-ply.html">Poly</mi> $.
$s class coeff $: <mi href="df-coe.html">coeff</mi> $.
$s class deg $: <mi href="df-dgr.html">deg</mi> $.
$s class quot $: <mi href="df-quot.html"> quot </mi> $.
$s class AA $: <mi href="df-aa.html">𝔸</mi> $.
$s class Tayl $: <mi href="df-tayl.html"> Tayl </mi> $.
$s class Ana $: <mi href="df-ana.html">Ana</mi> $.
$s class DChr $: <mi href="df-dchr.html">DChr</mi> $.
$s class Plig $: <mi href="df-plig.html">Plig</mi> $.
$s class RPrime $: <mi href="df-rprm.html">RPrime</mi> $.
$s class t+ $: <mi href="df-trcl.html">t+</mi> $.
$s class t* $: <mi href="df-rtrcl.html">t*</mi> $.
$s class GrpOp $: <mi href="df-grpo.html">GrpOp</mi> $.
$s class GId $: <mi href="df-gid.html">GId</mi> $.
$s class inv $: <mi href="df-ginv.html">inv</mi> $.
$s class AbelOp $: <mi href="df-ablo.html">AbelOp</mi> $.
$s class Ass $: <mi href="df-ass.html">Ass</mi> $.
$s class ExId $: <mi href="df-exid.html"> ExId </mi> $.
$s class Magma $: <mi href="df-mgm.html">Magma</mi> $.
$s class SemiGrp $: <mi href="df-sgr.html">SemiGrp</mi> $.
$s class MndOp $: <mi href="df-mndo.html">MndOp</mi> $.
$s class GrpOpHom $: <mi href="df-ghom.html"> GrpOpHom </mi> $.
$s class RingOps $: <mi href="df-rngo.html">RingOps</mi> $.
$s class DivRingOps $: <mi href="df-drngo.html">DivRingOps</mi> $.
$s class Com2 $: <mi href="df-com2.html">Com2</mi> $.
$s class Fld $: <mi href="df-fld.html">Fld</mi> $.
$s class NrmCVec $: <mi href="df-nv.html">NrmCVec</mi> $.
$s class BaseSet $: <mi href="df-ba.html">BaseSet</mi> $.
$s class IndMet $: <mi href="df-ims.html">IndMet</mi> $.
$s class SubSp $: <mi href="df-ssp.html">SubSp</mi> $.
$s class LnOp $: <mi href="df-lno.html"> LnOp </mi> $.
$s class BLnOp $: <mi href="df-blo.html"> BLnOp </mi> $.
$s class adj $: <mi href="df-aj.html">adj</mi> $.
$s class HmOp $: <mi href="df-hmo.html">HmOp</mi> $.
$s class CBan $: <mi href="df-cbn.html">CBan</mi> $.
$s class Cauchy $: <mi href="df-hcau.html">Cauchy</mi> $.
$s class _|_ $: <mi href="df-oc.html">⊥</mi> $.
$s class span $: <mi href="df-span.html">span</mi> $.
$s class ContOp $: <mi href="df-cnop.html">ContOp</mi> $.
$s class LinOp $: <mi href="df-lnop.html">LinOp</mi> $.
$s class BndLinOp $: <mi href="df-bdop.html">BndLinOp</mi> $.
$s class UniOp $: <mi href="df-unop.html">UniOp</mi> $.
$s class HrmOp $: <mi href="df-hmop.html">HrmOp</mi> $.
$s class null $: <mi href="df-nlfn.html">null</mi> $.
$s class ContFn $: <mi href="df-cnfn.html">ContFn</mi> $.
$s class LinFn $: <mi href="df-lnfn.html">LinFn</mi> $.
$s class bra $: <mi href="df-bra.html">bra</mi> $.
$s class ketbra $: <mi href="df-kb.html"> ketbra </mi> $.
$s class eigvec $: <mi href="df-eigvec.html">eigvec</mi> $.
$s class eigval $: <mi href="df-eigval.html">eigval</mi> $.
$s class Lambda $: <mi href="df-spec.html">Lambda</mi> $.
$s class States $: <mi href="df-st.html">States</mi> $.
$s class CHStates $: <mi href="df-hst.html">CHStates</mi> $.
$s class HAtoms $: <mi href="df-at.html">HAtoms</mi> $.
$( Mario Carneiro's Mathbox $)
$s class gamma $: <mi href="df-em.html">γ</mi> $.
$s class zeta $: <mi href="df-zeta.html" mathvariant="normal">ζ</mi> $.
$s class _G $: <mi href="df-gam.html" mathvariant="normal">Γ</mi> $.
$s class log_G $: <mrow><mi href="df-lgam.html">log</mi> <mi href="df-gam.html" mathvariant="normal">Γ</mi></mrow> $.
$s class Retr $: <mi href="df-retr.html"> Retr </mi> $.
$s class PConn $: <mi href="df-pconn.html">PConn</mi> $.
$s class SConn $: <mi href="df-sconn.html">SConn</mi> $.
$s class CovMap $: <mi href="df-cvm.html"> CovMap </mi> $.
$s class AxExt $: <mi href="df-gzext.html">AxExt</mi> $.
$s class AxRep $: <mi href="df-gzrep.html">AxRep</mi> $.
$s class AxPow $: <mi href="df-gzpow.html">AxPow</mi> $.
$s class AxUn $: <mi href="df-gzun.html">AxUn</mi> $.
$s class AxReg $: <mi href="df-gzreg.html">AxReg</mi> $.
$s class AxInf $: <mi href="df-gzinf.html">AxInf</mi> $.
$s class IntgRing $: <mi href="df-irng.html"> IntgRing </mi> $.
$s class cplMetSp $: <mi href="df-cplmet.html"> cplMetSp </mi> $.
$s class HomLimB $: <mi href="df-homlimb.html"> HomLimB </mi> $.
$s class HomLim $: <mi href="df-homlim.html"> HomLim </mi> $.
$s class polyFld $: <mi href="df-plfl.html"> polyFld </mi> $.
$s class splitFld $: <mi href="df-sfl.html"> splitFld </mi> $.
$s class splitFld1 $: <msub href="df-sfl1.html"><mi> splitFld </mi> <mn>1</mn></msub> $.
$s class polySplitLim $: <mi href="df-psl.html"> polySplitLim </mi> $.
$s class t*rec $: <mi href="df-rtrclrec.html">t*rec</mi> $.
$s class numer $: <mi href="df-numer.html">numer</mi> $.
$s class denom $: <mi href="df-denom.html">denom</mi> $.
$( Metamath formal systems $)
$s class mCN $: <mi href="df-mcn.html">mCN</mi> $.
$s class mVR $: <mi href="df-mvar.html">mVR</mi> $.
$s class mType $: <mi href="df-mty.html">mType</mi> $.
$s class mVT $: <mi href="df-mvt.html">mVT</mi> $.
$s class mTC $: <mi href="df-mtc.html">mTC</mi> $.
$s class mAx $: <mi href="df-max.html">mAx</mi> $.
$s class mREx $: <mi href="df-mrex.html">mREx</mi> $.
$s class mEx $: <mi href="df-mex.html">mEx</mi> $.
$s class mDV $: <mi href="df-mdv.html">mDV</mi> $.
$s class mVars $: <mi href="df-mvrs.html">mVars</mi> $.
$s class mRSubst $: <mi href="df-mrsub.html">mRSubst</mi> $.
$s class mSubst $: <mi href="df-msub.html">mSubst</mi> $.
$s class mVH $: <mi href="df-mvh.html">mVH</mi> $.
$s class mPreSt $: <mi href="df-mpst.html">mPreSt</mi> $.
$s class mStRed $: <mi href="df-msr.html">mStRed</mi> $.
$s class mStat $: <mi href="df-msta.html">mStat</mi> $.
$s class mFS $: <mi href="df-mfs.html">mFS</mi> $.
$s class mCls $: <mi href="df-mcls.html">mCls</mi> $.
$s class mPPSt $: <mi href="df-mpps.html">mPPSt</mi> $.
$s class mThm $: <mi href="df-mthm.html">mThm</mi> $.
$s class m0St $: <mi href="df-m0s.html">m0St</mi> $.
$s class mSA $: <mi href="df-msa.html">mSA</mi> $.
$s class mWGFS $: <mi href="df-mwgfs.html">mWGFS</mi> $.
$s class mSyn $: <mi href="df-msy.html">mSyn</mi> $.
$s class mESyn $: <mi href="df-mesy.html">mESyn</mi> $.
$s class mGFS $: <mi href="df-mgfs.html">mGFS</mi> $.
$s class mTree $: <mi href="df-mtree.html">mTree</mi> $.
$s class mST $: <mi href="df-mst.html">mST</mi> $.
$s class mSAX $: <mi href="df-msax.html">mSAX</mi> $.
$s class mUFS $: <mi href="df-mufs.html">mUFS</mi> $.
$s class mUV $: <mi href="df-muv.html">mUV</mi> $.
$s class mVL $: <mi href="df-mvl.html">mVL</mi> $.
$s class mVSubst $: <mi href="df-mvsb.html">mVSubst</mi> $.
$s class mFresh $: <mi href="df-mfsh.html">mFresh</mi> $.
$s class mFRel $: <mi href="df-mfrel.html">mFRel</mi> $.
$s class mEval $: <mi href="df-mevl.html">mEval</mi> $.
$s class mMdl $: <mi href="df-mdl.html">mMdl</mi> $.
$s class mUSyn $: <mi href="df-musyn.html">mUSyn</mi> $.
$s class mGMdl $: <mi href="df-gmdl.html">mGMdl</mi> $.
$s class mItp $: <mi href="df-mitp.html">mItp</mi> $.
$s class mFromItp $: <mi href="df-mfitp.html">mFromItp</mi> $.
$( PseudoMetrics and Uniformities $)
$s class PsMet $: <mi href="df-psmet.html">PsMet</mi> $.
$s class uCn $: <mi href="df-ucn.html">uCn</mi> $.
$s class CnExt $: <mi href="df-cnext.html">CnExt</mi> $.
$s class UnifSt $: <mi href="df-uss.html">UnifSt</mi> $.
$s class unifTop $: <mi href="df-utop.html">unifTop</mi> $.
$s class UnifOn $: <mi href="df-ust.html">UnifOn</mi> $.
$s class UnifSet $: <mi href="df-unif.html">UnifSet</mi> $.
$s class UnifSp $: <mi href="df-unifsp.html">UnifSp</mi> $.
$s class CUnifSp $: <mi href="df-cusp.html">CUnifSp</mi> $.
$s class toUnifSp $: <mi href="df-tus.html">toUnifSp</mi> $.
$s class metUnif $: <mi href="df-metu.html">metUnif</mi> $.
$s class ~Met $: <msub href="df-metid.html"><mo>~</mo> <mi mathvariant="italic">Met</mi></msub> $.
$s class pstoMet $: <mi href="df-pstm.html">pstoMet</mi> $.
$s class HCmp $: <mi href="df-hcmp.html">HCmp</mi> $.
$( Hilbert Spaces $)
$s class ~H $: <mi href="df-hba.html"> ℋ</mi> $.
$s class 0h $: <msub href="df-h0v.html"><mi>0</mi> <mi>ℎ</mi></msub> $.
$s class +h $: <msub href="h2hva.html"><mo>+</mo> <mi>ℎ</mi></msub> $.
$s class -h $: <msub href="df-hvsub.html"><mo>-</mo> <mi>ℎ</mi></msub> $.
$s class .h $: <msub href="h2hsm.html"><mo>⋅</mo> <mi>ℎ</mi></msub> $.
$s class .ih $: <msub href="ax-hfi.html"><mo>⋅</mo> <mi>ih</mi></msub> $.
$s class normh $: <msub href="df-hnorm.html"><mo>norm</mo> <mi>ℎ</mi></msub> $.
$s class -op $: <msub href="df-hodif.html"><mo>-</mo> <mi>op</mi></msub> $.
$s class +op $: <msub href="df-hosum.html"><mo>+</mo> <mi>op</mi></msub> $.
$s class .op $: <msub href="df-homul.html"><mo>·</mo> <mi>op</mi></msub> $.
$s class 0op $: <msub href="df-0o.html"><mi>0</mi> <mi>op</mi></msub> $.
$s class <_op $: <msub href="df-leop.html"><mi>≤</mi> <mi>op</mi></msub> $.
$s class +fn $: <msub href="df-hfsum.html"><mo>+</mo> <mi>fn</mi></msub> $.
$s class .fn $: <msub href="df-hfmul.html"><mo>·</mo> <mi>fn</mi></msub> $.
$s class 0hop $: <msub href="df-h0op.html"><mi>0</mi> <mi>hop</mi></msub> $.
$s class Iop $: <msub href="df-iop.html"><mi>I</mi> <mi>op</mi></msub> $.
$s class normop $: <msub href="df-nmop.html"><mo>norm</mo> <mi>op</mi></msub> $.
$s class normfn $: <msub href="df-nmfn.html"><mo>norm</mo> <mi>fn</mi></msub> $.
$s class adjh $: <msub href="df-adjh.html"><mo>adj</mo> <mi>h</mi></msub> $.
$s class +H $: <msub href="df-shs.html"><mo>+</mo> <mi>ℋ</mi></msub> $.
$s class vH $: <msub href="df-chj.html"><mo>∨</mo> <mi>ℋ</mi></msub> $.
$s class \/H $: <msub href="df-chsup.html"><mo>⋁</mo> <mi>ℋ</mi></msub> $.
$s class 0H $: <msub href="df-ch0.html"><mi>0</mi> <mi>ℋ</mi></msub> $.
$s class projh $: <msub href="df-pjh.html"><mi>proj</mi> <mi>ℎ</mi></msub> $.
$s class C_H $: <msub href="df-cm.html"><mo>𝐶</mo> <mi>ℋ</mi></msub> $.
$s class CH $: <msub href="df-ch.html"><mo mathvariant="bold">C</mo> <mi>ℋ</mi></msub> $.
$s class SH $: <msub href="df-sh.html"><mo mathvariant="bold">S</mo> <mi>ℋ</mi></msub> $.
$s class <oH $: <msub href="df-cv.html"><mo>⋖</mo> <mi>ℋ</mi></msub> $.
$s class MH $: <msub href="df-md.html"><mo>𝑀</mo> <mi>ℋ</mi></msub> $.
$s class MH* $: <msubsup href="df-dmd.html"><mo>𝑀</mo> <mi>ℋ</mi> <mi>*</mi></msubsup> $.
$s class _|_ $: <mo href="df-oc.html">⊥</mo> $.
$( Thierry Arnoux $)
$( Ordered Structures $)
$s class oGrp $: <mi href="df-ogrp.html">oGrp</mi> $.
$s class oField $: <mi href="df-ofld.html">oField</mi> $.
$s class <<< $: <mo href="df-inftm.html">⋘</mo> $.
$s class Archi $: <mi href="df-archi.html">Archi</mi> $.
$s class oMnd $: <mi href="df-omnd.html">oMnd</mi> $.
$s class oRing $: <mi href="df-orng.html">oRing</mi> $.
$s class SRing $: <mi href="df-srg.html">SRing</mi> $.
$s class SLMod $: <mi href="df-slmod.html">SLMod</mi> $.
$s class sgns $: <msub href="df-sgns.html"><mo>sgn</mo> <mi>s</mi></msub> $.
$( Cannonical embeddings $)
$s class ZRHom $: <mi href="df-zrh.html">ℤRHom</mi> $.
$s class ZMod $: <mi href="df-zlm.html">ℤMod</mi> $.
$s class QQHom $: <mi href="df-qqh.html">ℚHom</mi> $.
$s class RRHom $: <mi href="df-rrh.html">ℝHom</mi> $.
$s class RR*Hom $: <mi href="df-xrh.html"><msup><mi>ℝ</mi> <mo>*</mo></msup>Hom</mi> $.
$s class RRExt $: <mi href="df-rrext.html">ℝExt</mi> $.
$( Indicator function $)
$s class _Ind $: <mi href="df-ind.html">𝟙</mi> $.
$s class ( _Ind ` O ) $: <msub><mi href="df-ind.html">𝟙</mi> #O#</msub> $.
$( Topology $)
$s class CovHasRef A $: <mrow><mi href="df-cref.html">CovHasRef</mi> #A#</mrow> $.
$s class Ldlf $: <mi href="df-ldlf.html">Ldlf</mi> $.
$s class Paracomp $: <mi href="df-pcmp.html">Paracomp</mi> $.
$s class ManTop $: <mi href="df-mntop.html">ManTop</mi> $.
$( Number Theory $)
$s class repr $: <mi href="df-repr.html">repr</mi> $.
$s class vts $: <mi href="df-vts.html">vts</mi> $.
$( Algebra $)
$s class toCyc $: <mi href="df-tocyc.html">toCyc</mi> $.
$s class dim $: <mi href="df-dim.html">dim</mi> $.
$s class /FldExt $: <msub href="df-fldext.html"><mo>/</mo><mi>FldExt</mi></msub> $.
$s class /FinExt $: <msub href="df-finext.html"><mo>/</mo><mi>FinExt</mi></msub> $.
$s class /AlgExt $: <msub href="df-algext.html"><mo>/</mo><mi>AlgExt</mi></msub> $.
$s class ( O [:] P ) $: <mfenced open='[' close=']'><mrow> #O# : #P# </mrow></mfenced> $.
$s class [:] $: <mfenced open='[' close=']' href="df-extdg.html"><mrow><mi>.</mi><mo>:</mo><mi>.</mi></mrow></mfenced> $.
$( Measure Theory $)
$s class sigAlgebra $: <mi href="df-siga.html">sigAlgebra</mi> $.
$s class sigaGen $: <mi href="df-sigagen.html">𝛔</mi> $. $( Gives a warning, but with σ there is no distinction ` sigma ` $)
$s class BrSiga $: <msub href="df-brsiga.html"><mi>𝔅</mi> <mi>ℝ</mi></msub> $.
$s class sX $: <msub href="df-sx.html"><mo>×</mo> <mi>s</mi></msub> $.
$s class measures $: <mi href="df-meas.html">measures</mi> $.
$s class Ddelta $: <mi href="df-dde.html">δ</mi> $.
$s class ae $: <mi href="df-ae.html">ae</mi> $.
$s class ~ae $: <msub href="df-fae.html"><mo>~</mo><mi>ae</mi></msub> $.
$s wff A ae B $: <mrow>#A# #B#<mi href="df-ae.html">-ae.</mi></mrow> $.
$s wff { x e. A | ph } ae B $: <mrow>#ph# <msub><mrow>#B#<mi href="df-ae.html">-ae.</mi></mrow> <mrow>#x# <mo>∈</mo> #A#</mrow></msub></mrow> $.
$s wff R ~ae C $: <msub>#R# <mrow>#C#<mi href="df-fae.html">-ae.</mi></mrow></msub> $.
$s wff A ( R ~ae C ) B $: <mrow>#A# #R# #B# #C#<mi href="df-fae.html">-ae.</mi></mrow> $.
$s class toOMeas $: <mi href="df-oms.html">toOMeas</mi> $.
$s class toCaraSiga $: <mi href="df-carsg.html">toCaraSiga</mi> $.
$s class MblFnM $: <msub href="df-mbfm.html"><mi>MblFn</mi> <mi>μ</mi></msub> $.
$s class itgm $: <mi href="df-itgm.html">itgm</mi> $.
$s class sitg $: <mi href="df-sitg.html">sitg</mi> $.
$s class sitm $: <mi href="df-sitm.html">sitm</mi> $.
$s class ( ( A itgm B ) ` F ) $: <mrow><msubsup><mo href="df-itgm.html">∫</mo> <mi>μ</mi> #A#</msubsup> #F# <mo>d</mo>#B#</mrow> $.
$s class ( ( A sitg B ) ` F ) $: <mrow><msubsup><mo href="df-sitg.html">∫</mo> <mi>ℑ</mi> #A#</msubsup> #F# <mo>d</mo>#B#</mrow> $.
$s class dom ( A sitg B ) $: <msubsup><mo href="df-sitg.html">ℑ</mo> #B# #A#</msubsup> $.
$s class ( A sitm B ) $: <msubsup><mrow><mo>|</mo><mi>.</mi> <mo>-</mo> <mi>.</mi><mo>|</mo></mrow> #B# #A#</msubsup> $. $( Looks like mfenced does not work with | $)
$s class ( F ( A sitm B ) G ) $: <msubsup><mrow><mo>|</mo>#G# <mo>-</mo> #F#<mo>|</mo></mrow> #B# #A#</msubsup> $. $( Looks like mfenced does not work with | $)
$s class-o ( F ( A sitm B ) G ) $: <msubsup><mrow><mo>|</mo>#G# <mo>-</mo> #F#<mo>|</mo></mrow> #B# #A#</msubsup> $. $( Looks like mfenced does not work with | $)
$s class Prob $: <mi href="df-prob.html">Prob</mi> $.
$s class cprob $: <mi href="df-cndprob.html">cProb</mi> $.
$s class rRndVar $: <msub href="df-rrv.html"><mi>RndVar</mi> <mi>ℝ</mi></msub> $.
$s class oRVC R $: <mrow> <msub><mo href="df-orvc.html">∘</mo> <mi>RV/c</mi></msub> <mo>⁡</mo> #R# </mrow> $.
$s class ( F oRVC R A ) $: <mfenced><mrow>#F# <msub>#R# <mi href="df-orvc.html">RV/c</mi></msub> #A#</mrow></mfenced> $.
$s class-o ( F oRVC R A ) $: <mrow>#F# <msub>#R# <mi href="df-orvc.html">RV/c</mi></msub> #A#</mrow> $.
$( p-adic number fields $)
$s class ZRing $: <mi href="df-zrng.html">ℤRing</mi> $.
$s class GF $: <mi href="df-gf.html"> GF </mi> $.
$s class ~Qp $: <msub href="df-eqp.html"><mo>~</mo><msub><mi>ℚ</mi><mi>p</mi></msub></msub> $.
$s class /Qp $: <msub href="df-rqp.html"><mo>/</mo><msub><mi>ℚ</mi><mi>p</mi></msub></msub> $.
$s class Qp $: <msub href="df-qp.html"><mi>ℚ</mi><mi>p</mi></msub> $.
$s class Zp $: <msub href="df-zp.html"><mi>ℤ</mi><mi>p</mi></msub> $.
$s class _Qp $: <mover href="df-qpa.html"><msub><mi>ℚ</mi><mi>p</mi></msub> <mo>‾</mo></mover> $.
$s class Cp $: <msub href="df-cp.html"><mi>ℂ</mi><mi>p</mi></msub> $.
$( Graph Theory $)
$s class UMGraph $: <mi href="df-umgr.html">UMGraph</mi> $.
$s class UHGraph $: <mi href="df-uhgr.html">UHGraph</mi> $.
$s class USHGraph $: <mi href="df-ushgr.html">USHGraph</mi> $.
$s class USGraph $: <mi href="df-usgr.html">USGraph</mi> $.
$s class SubGraph $: <mi href="df-subgr.html">SubGraph</mi> $.
$s class NeighbVtx $: <mi href="df-nbgr.html">NeighbVtx</mi> $.
$s class ComplGraph $: <mi href="df-cplgr.html">ComplGraph</mi> $.
$s class ComplUSGraph $: <mi href="df-cusgr.html">ComplUSGraph</mi> $.
$s class UnivVtx $: <mi href="df-uvtx.html">UnivVtx</mi> $.
$s class .ef $: <mi href="df-edgf.html"> ef </mi> $.
$s class Vtx $: <mi href="df-vtx.html"> Vtx </mi> $.
$s class iEdg $: <mi href="df-iedg.html"> iEdg </mi> $.
$s class Edg $: <mi href="df-edg.html"> Edg </mi> $.
$s class UPGraph $: <mi href="df-upgr.html"> UPGraph </mi> $.
$s class USPGraph $: <mi href="df-ushgr.html"> USHGraph </mi> $.
$s class FinUSGraph $: <mi href="df-fusg.html"> FinUSGraph </mi> $.
$s class AcyclicGraph $: <mi href="df-acycgr.html"> AcyclicGraph </mi> $.
$s class EulerPaths $: <mi href="df-eupth.html"> EulerPaths </mi> $.
$s class VtxDeg $: <mi href="df-vtxdg.html"> VtxDeg </mi> $.
$s class Walks $: <mi href="df-wlk.html">Walks</mi> $.
$s class Trails $: <mi href="df-trls.html">Trails</mi> $.
$s class TrailsOn $: <mi href="df-trlson.html">TrailsOn</mi> $.
$s class Paths $: <mi href="df-pth.html">Paths</mi> $.
$s class SPaths $: <mi href="df-spth.html">SPaths</mi> $.
$s class PathsOn $: <mi href="df-pthson.html">PathsOn</mi> $.
$s class SPathsOn $: <mi href="df-spthson.html">SPathsOn</mi> $.
$s class Circuits $: <mi href="df-crct.html">Circuits</mi> $.
$s class Cycles $: <mi href="df-cycl.html">Cycles</mi> $.
$s class ConnGraph $: <mi href="df-conngr.html">ConnGraph</mi> $.
$s class WWalks $: <mi href="df-wwlk.html">WWalks</mi> $.
$s class WWalksN $: <mi href="df-wwlkn.html">WWalksN</mi> $.
$s class WWalksNOn $: <mi href="df-wwlksnon.html">WWalksNOn</mi> $.
$s class WSPathsN $: <mi href="df-wspthsn.html">WSPathsN</mi> $.
$s class WSPathsNOn $: <mi href="df-wspthsnon.html">WSPathsNOn</mi> $.
$s class RegGraph $: <mi href="df-rgr.html">RegGraph</mi> $.
$s class RegUSGraph $: <mi href="df-rusgr.html">RegUSGraph</mi> $.
$s class ClWalks $: <mi href="df-clwlk.html">ClWalks</mi> $.
$s class ClWWalks $: <mi href="df-clwwlk.html">ClWWalks</mi> $.
$s class ClWWalksN $: <mi href="df-clwwlkn.html">ClWWalksN</mi> $.
$s class ClWWalksNOn $: <mi href="df-clwwlknon.html">ClWWalksNOn</mi> $.
$s class seqstr $: <msub href="df-sseq.html"><mi>seq</mi> <mo>str</mo></msub> $.
$s class Fibci $: <mi href="df-fibci.html">Fibci</mi> $.
$s class CVecOLD $: <msub href="df-vc.html"><mo>CVec</mo> <mi>OLD</mi></msub> $.
$s class .sOLD $: <msub href="df-sm.html"><mo>⋅</mo> <mi>𝑠OLD</mi></msub> $.
$s class .iOLD $: <msub href="df-dip.html"><mo>⋅</mo> <mi>𝑖OLD</mi></msub> $.
$s class normOpOLD $: <msub href="df-nmoo.html"><mo>normOp</mo> <mi>OLD</mi></msub> $.
$s class CPreHilOLD $: <msub href="df-ph.html"><mo>CPreHil</mo> <mi>OLD</mi></msub> $.
$s class CHilOLD $: <msub href="df-hlo.html"><mo>CHil</mo> <mi>OLD</mi></msub> $.
$( M L $)
$s class ( A ^^ B ) $: <mrow> #A# <mo href="df-finxp.html">↑↑</mo> #B# </mrow> $.
$( Wolf Lammen $)
$s wff A. ( x wl-in A ) ph $: <mrow> <mo href="wl-ral.html">∀</mo> #x# <mo href="df-ral.html">:</mo> #A# <mspace width=.4em /> #ph# </mrow> $.
$s wff E. ( x wl-in A ) ph $: <mrow> <mo href="wl-rex.html">∃</mo> #x# <mo href="df-rex.html">:</mo> #A# <mspace width=.4em /> #ph# </mrow> $.
$s wff E! ( x wl-in A ) ph $: <mrow> <mo href="wl-reu.html">∃!</mo> #x# <mo href="df-reu.html">:</mo> #A# <mspace width=.4em /> #ph# </mrow> $.
$s wff E* ( x wl-in A ) ph $: <mrow> <msup href="wl-rmo.html"><mo>∃</mo><mo>*</mo></msup> #x# <mo href="df-rmo.html">:</mo> #A# #ph# </mrow> $.
$s class { x wl-in A | ph } $: <mfenced open="{" close="}"> <mrow>#x# <mo href="wl-crab.html">:</mo> #A# <mo lspace=.3em rspace=.3em>|</mo> #ph# </mrow></mfenced> $.
$( Removed as part of FL'mathbox
$s class <> $: <mi>◇</mi> $.
$s class [.] $: <mi>◻</mi> $.
$s class () $: <mi>○</mi> $.
$s class until $: <mi> until </mi> $.
$s class pr $: <mi href="df-pro.html"> pr </mi> $.
$s class prj $: <mi href="df-prj.html"> prj </mi> $.
$s class cset $: <mi href="df-cst.html">cset</mi> $.
$s class LatAlg $: <mi href="df-latalg.html">LatAlg</mi> $.
$s class cur1 $: <mi href="df-cur1.html">cur1</mi> $.
$s class cur2 $: <mi href="df-cur2.html">cur2</mi> $.
$s class OrHom $: <mi href="df-orhom.html"> OrHom </mi> $.
$s class OrIso $: <mi href="df-oriso.html"> OrIso </mi> $.
$s class mxl $: <mi href="df-mxl.html">mxl</mi> $.
$s class mnl $: <mi href="df-mnl.html">mnl</mi> $.
$s class ub $: <mi href="df-ub.html"> ub </mi> $.
$s class lb $: <mi href="df-lb.html">lb</mi> $.
$s class PresetRel $: <mi href="df-prs.html">PresetRel</mi> $.
$s class ge $: <mi href="df-ge.html">ge</mi> $.
$s class leR $: <mi href="df-ler.html">leR</mi> $.
$s class AntiDir $: <mi href="df-antidir.html">AntiDir</mi> $.
$s class BndLat $: <mi href="df-bnlat.html">BndLat</mi> $.
$s class Com1 $: <mi href="df-com1.html">Com1</mi> $.
$s class SubSemiGrp $: <mi href="df-subsmg.html">SubSemiGrp</mi> $.
$s class subSemiGrpGen $: <mi href="df-sggen.html">subSemiGrpGen</mi> $.
$s class SemiGrpHom $: <mi href="df-gsmhom.html">SemiGrpHom</mi> $.