Check all agda files (#1058)

* remove stuff with broken dependencies

* Revert "remove stuff with broken dependencies"

This reverts commit 6a0ded9.

* fix

* rm LocalizationDefs

* fixes/commented out lots of things

* no automatic Experiments/Everything.agda

* deleted the two files

.gitignore

@@ -6,4 +6,3 @@ Cubical/*/Everything.agda
 !Cubical/Core/Everything.agda
 !Cubical/Foundations/Everything.agda
 !Cubical/Codata/Everything.agda
-!Cubical/Experiments/Everything.agda

Cubical/Experiments/CohomologyGroups.agda

@@ -1,6 +1,6 @@
 {-# OPTIONS --safe #-}
 module Cubical.Experiments.CohomologyGroups where
-
+{-
 open import Cubical.Experiments.ZCohomologyOld.Base
 open import Cubical.Experiments.ZCohomologyOld.Properties
 open import Cubical.Experiments.ZCohomologyOld.MayerVietorisUnreduced
@@ -138,3 +138,4 @@ H¹-S¹≅ℤ =
             → Σ[ x ∈ Int ] (inv H⁰-S⁰≅ℤ×ℤ (x , x))
              ≡ GroupHom.fun (K.Δ 0) (∣ f ∣₂ , ∣ g ∣₂)
     helper2 f g = (f _ -[ 0 ]ₖ g _) , cong ∣_∣₂ (funExt λ {true → refl ; false → refl})
+-}

Cubical/Experiments/Combinatorics.agda

@@ -78,10 +78,11 @@ s = refl
 p : prod (Fin _) f ≡ 6480
 p = refl
 
+{-
 -- the maximal value
 m : maxValue (Fin _) f ∣ fzero ∣ ≡ 9
 m = refl
-
+-}
 -- the number of numeral 1
 n1 : card (_ , isFinSetFiberDisc (Fin _) ℕ discreteℕ f 1) ≡ 2
 n1 = refl

Cubical/Experiments/HInt.agda

@@ -1,3 +1,4 @@
+{-# OPTIONS --safe #-}
 {-
 
 Definition of the integers as a HIT inspired by slide 10 of (original
@@ -22,7 +23,8 @@ module Cubical.Experiments.HInt where
 open import Cubical.Foundations.Prelude
 open import Cubical.Foundations.Equiv
 open import Cubical.Foundations.Isomorphism
-open import Cubical.Data.Int
+
+open import Cubical.Data.Int renaming (ℤ to Int; sucℤ to sucInt; predℤ to predInt; isSetℤ to isSetInt)
 open import Cubical.Data.Nat
 
 data ℤ : Type₀ where
@@ -77,22 +79,25 @@ lem2 (pos (suc n)) = sym (predsuc (ℕ→ℤ n))
 lem2 (negsuc n) = refl
 
 -- I don't see how to fill these holes, especially the last one
+{-
 ℤ→Int→ℤ : ∀ (n : ℤ) → Int→ℤ (ℤ→Int n) ≡ n
 ℤ→Int→ℤ zero = refl
 ℤ→Int→ℤ (suc n) = (lem1 (ℤ→Int n)) ∙ (cong suc (ℤ→Int→ℤ n))
 ℤ→Int→ℤ (pred n) = (lem2 (ℤ→Int n)) ∙ (cong pred (ℤ→Int→ℤ n))
 ℤ→Int→ℤ (sucpred n i) = {!!}
 ℤ→Int→ℤ (predsuc n i) = {!!}
 ℤ→Int→ℤ (coh n i j) = {!!}
+-}
 
 Int→ℤ→Int : ∀ n → ℤ→Int (Int→ℤ n) ≡ n
 Int→ℤ→Int (pos zero) = refl
 Int→ℤ→Int (pos (suc n)) = cong sucInt (Int→ℤ→Int (pos n))
 Int→ℤ→Int (negsuc zero) = refl
 Int→ℤ→Int (negsuc (suc n)) = cong predInt (Int→ℤ→Int (negsuc n))
-
+{-
 Int≡ℤ : Int ≡ ℤ
 Int≡ℤ = isoToPath (iso Int→ℤ ℤ→Int ℤ→Int→ℤ Int→ℤ→Int)
 
 isSetℤ : isSet ℤ
 isSetℤ = subst isSet Int≡ℤ isSetInt
+-}

Cubical/Experiments/IntegerMatrix.agda

@@ -16,7 +16,6 @@ open import Cubical.Data.List
 
 open import Cubical.Algebra.CommRing
 open import Cubical.Algebra.CommRing.Instances.Int
-  renaming (ℤ to ℤRing)
 
 open import Cubical.Algebra.Matrix
 open import Cubical.Algebra.Matrix.CommRingCoefficient
@@ -27,7 +26,7 @@ private
   variable
     m n : ℕ
 
-open Coefficient ℤRing
+open Coefficient ℤCommRing
 
 -- Get divisors directly