algebraic_topology.Moore_complex ⟷ Mathlib.AlgebraicTopology.MooreComplex

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451

@@ -3,9 +3,9 @@ Copyright (c) 2021 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathbin.Algebra.Homology.HomologicalComplex
-import Mathbin.AlgebraicTopology.SimplicialObject
-import Mathbin.CategoryTheory.Abelian.Basic
+import Algebra.Homology.HomologicalComplex
+import AlgebraicTopology.SimplicialObject
+import CategoryTheory.Abelian.Basic
 
 #align_import algebraic_topology.Moore_complex from "leanprover-community/mathlib"@"ce38d86c0b2d427ce208c3cee3159cb421d2b3c4"
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/63721b2c3eba6c325ecf8ae8cca27155a4f6306f

@@ -86,7 +86,7 @@ def objD : ∀ n : ℕ, (objX X (n + 1) : C) ⟶ (objX X n : C)
     apply kernel_subobject_factors
     -- Use a simplicial identity
     dsimp [obj_X]
-    erw [category.assoc, ← X.δ_comp_δ (Fin.zero_le i.succ), ← category.assoc]
+    erw [category.assoc, ← X.δ_comp_δ (Fin.zero_le' i.succ), ← category.assoc]
     -- It's the first two factors which are zero.
     convert zero_comp
     -- We can rewrite the arrow out of the intersection of all the kernels as a composition
@@ -107,12 +107,12 @@ theorem d_squared (n : ℕ) : objD X (n + 1) ≫ objD X n = 0 :=
     cases n <;>
     dsimp
   · simp only [subobject.factor_thru_arrow_assoc]
-    slice_lhs 2 3 => erw [← X.δ_comp_δ (Fin.zero_le (0 : Fin (0 + 2)))]
+    slice_lhs 2 3 => erw [← X.δ_comp_δ (Fin.zero_le' (0 : Fin (0 + 2)))]
     rw [← factor_thru_arrow _ _ (finset_inf_arrow_factors Finset.univ _ (0 : Fin 2) (by simp))]
     slice_lhs 2 3 => rw [kernel_subobject_arrow_comp]
     simp
   · simp [factor_thru_right]
-    slice_lhs 2 3 => erw [← X.δ_comp_δ (Fin.zero_le (0 : Fin (n.succ + 2)))]
+    slice_lhs 2 3 => erw [← X.δ_comp_δ (Fin.zero_le' (0 : Fin (n.succ + 2)))]
     rw [←
       factor_thru_arrow _ _ (finset_inf_arrow_factors Finset.univ _ (0 : Fin (n + 3)) (by simp))]
     slice_lhs 2 3 => rw [kernel_subobject_arrow_comp]

mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345

@@ -2,16 +2,13 @@
 Copyright (c) 2021 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module algebraic_topology.Moore_complex
-! leanprover-community/mathlib commit ce38d86c0b2d427ce208c3cee3159cb421d2b3c4
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Homology.HomologicalComplex
 import Mathbin.AlgebraicTopology.SimplicialObject
 import Mathbin.CategoryTheory.Abelian.Basic
 
+#align_import algebraic_topology.Moore_complex from "leanprover-community/mathlib"@"ce38d86c0b2d427ce208c3cee3159cb421d2b3c4"
+
 /-!
 ## Moore complex
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423

@@ -61,6 +61,7 @@ open CategoryTheory.Subobject
 
 variable (X : SimplicialObject C)
 
+#print AlgebraicTopology.NormalizedMooreComplex.objX /-
 /-- The normalized Moore complex in degree `n`, as a subobject of `X n`.
 -/
 @[simp]
@@ -68,7 +69,9 @@ def objX : ∀ n : ℕ, Subobject (X.obj (op (SimplexCategory.mk n)))
   | 0 => ⊤
   | n + 1 => Finset.univ.inf fun k : Fin (n + 1) => kernelSubobject (X.δ k.succ)
 #align algebraic_topology.normalized_Moore_complex.obj_X AlgebraicTopology.NormalizedMooreComplex.objX
+-/
 
+#print AlgebraicTopology.NormalizedMooreComplex.objD /-
 /-- The differentials in the normalized Moore complex.
 -/
 @[simp]
@@ -97,7 +100,9 @@ def objD : ∀ n : ℕ, (objX X (n + 1) : C) ⟶ (objX X n : C)
     convert comp_zero
     exact kernel_subobject_arrow_comp _
 #align algebraic_topology.normalized_Moore_complex.obj_d AlgebraicTopology.NormalizedMooreComplex.objD
+-/
 
+#print AlgebraicTopology.NormalizedMooreComplex.d_squared /-
 theorem d_squared (n : ℕ) : objD X (n + 1) ≫ objD X n = 0 :=
   by
   -- It's a pity we need to do a case split here;
@@ -116,6 +121,7 @@ theorem d_squared (n : ℕ) : objD X (n + 1) ≫ objD X n = 0 :=
     slice_lhs 2 3 => rw [kernel_subobject_arrow_comp]
     simp
 #align algebraic_topology.normalized_Moore_complex.d_squared AlgebraicTopology.NormalizedMooreComplex.d_squared
+-/
 
 #print AlgebraicTopology.NormalizedMooreComplex.obj /-
 /-- The normalized Moore complex functor, on objects.
@@ -182,11 +188,13 @@ def normalizedMooreComplex : SimplicialObject C ⥤ ChainComplex C ℕ
 
 variable {C}
 
+#print AlgebraicTopology.normalizedMooreComplex_objD /-
 @[simp]
 theorem normalizedMooreComplex_objD (X : SimplicialObject C) (n : ℕ) :
     ((normalizedMooreComplex C).obj X).d (n + 1) n = NormalizedMooreComplex.objD X n := by
   apply ChainComplex.of_d
 #align algebraic_topology.normalized_Moore_complex_obj_d AlgebraicTopology.normalizedMooreComplex_objD
+-/
 
 end AlgebraicTopology
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -61,12 +61,6 @@ open CategoryTheory.Subobject
 
 variable (X : SimplicialObject C)
 
-/- warning: algebraic_topology.normalized_Moore_complex.obj_X -> AlgebraicTopology.NormalizedMooreComplex.objX is a dubious translation:
-lean 3 declaration is
-  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Abelian.{u2, u1} C _inst_1] (X : CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (n : Nat), CategoryTheory.Subobject.{u2, u1} C _inst_1 (CategoryTheory.Functor.obj.{0, u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 X (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n)))
-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align algebraic_topology.normalized_Moore_complex.obj_X AlgebraicTopology.NormalizedMooreComplex.objXₓ'. -/
 /-- The normalized Moore complex in degree `n`, as a subobject of `X n`.
 -/
 @[simp]
@@ -75,9 +69,6 @@ def objX : ∀ n : ℕ, Subobject (X.obj (op (SimplexCategory.mk n)))
   | n + 1 => Finset.univ.inf fun k : Fin (n + 1) => kernelSubobject (X.δ k.succ)
 #align algebraic_topology.normalized_Moore_complex.obj_X AlgebraicTopology.NormalizedMooreComplex.objX
 
-/- warning: algebraic_topology.normalized_Moore_complex.obj_d -> AlgebraicTopology.NormalizedMooreComplex.objD is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align algebraic_topology.normalized_Moore_complex.obj_d AlgebraicTopology.NormalizedMooreComplex.objDₓ'. -/
 /-- The differentials in the normalized Moore complex.
 -/
 @[simp]
@@ -107,9 +98,6 @@ def objD : ∀ n : ℕ, (objX X (n + 1) : C) ⟶ (objX X n : C)
     exact kernel_subobject_arrow_comp _
 #align algebraic_topology.normalized_Moore_complex.obj_d AlgebraicTopology.NormalizedMooreComplex.objD
 
-/- warning: algebraic_topology.normalized_Moore_complex.d_squared -> AlgebraicTopology.NormalizedMooreComplex.d_squared is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align algebraic_topology.normalized_Moore_complex.d_squared AlgebraicTopology.NormalizedMooreComplex.d_squaredₓ'. -/
 theorem d_squared (n : ℕ) : objD X (n + 1) ≫ objD X n = 0 :=
   by
   -- It's a pity we need to do a case split here;
@@ -194,9 +182,6 @@ def normalizedMooreComplex : SimplicialObject C ⥤ ChainComplex C ℕ
 
 variable {C}
 
-/- warning: algebraic_topology.normalized_Moore_complex_obj_d -> AlgebraicTopology.normalizedMooreComplex_objD is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align algebraic_topology.normalized_Moore_complex_obj_d AlgebraicTopology.normalizedMooreComplex_objDₓ'. -/
 @[simp]
 theorem normalizedMooreComplex_objD (X : SimplicialObject C) (n : ℕ) :
     ((normalizedMooreComplex C).obj X).d (n + 1) n = NormalizedMooreComplex.objD X n := by

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -162,10 +162,8 @@ def map (f : X ⟶ Y) : obj X ⟶ obj Y :=
         simp)
     fun n => by
     cases n <;> dsimp
-    · ext
-      simp
-    · ext
-      simp
+    · ext; simp
+    · ext; simp
 #align algebraic_topology.normalized_Moore_complex.map AlgebraicTopology.NormalizedMooreComplex.map
 -/
 
@@ -189,14 +187,8 @@ def normalizedMooreComplex : SimplicialObject C ⥤ ChainComplex C ℕ
     where
   obj := obj
   map X Y f := map f
-  map_id' X := by
-    ext n
-    cases n <;>
-      · dsimp
-        simp
-  map_comp' X Y Z f g := by
-    ext n
-    cases n <;> simp
+  map_id' X := by ext n; cases n <;> · dsimp; simp
+  map_comp' X Y Z f g := by ext n; cases n <;> simp
 #align algebraic_topology.normalized_Moore_complex AlgebraicTopology.normalizedMooreComplex
 -/
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -76,10 +76,7 @@ def objX : ∀ n : ℕ, Subobject (X.obj (op (SimplexCategory.mk n)))
 #align algebraic_topology.normalized_Moore_complex.obj_X AlgebraicTopology.NormalizedMooreComplex.objX
 
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(CategoryTheory.CategoryStruct.toQuiver.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 X) (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n)))) (CategoryTheory.instPartialOrderSubobject.{u2, u1} C _inst_1 (Prefunctor.obj.{1, succ u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.CategoryStruct.toQuiver.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.toCategoryStruct.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory 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+<too large>
 Case conversion may be inaccurate. Consider using '#align algebraic_topology.normalized_Moore_complex.obj_d AlgebraicTopology.NormalizedMooreComplex.objDₓ'. -/
 /-- The differentials in the normalized Moore complex.
 -/
@@ -111,10 +108,7 @@ def objD : ∀ n : ℕ, (objX X (n + 1) : C) ⟶ (objX X n : C)
 #align algebraic_topology.normalized_Moore_complex.obj_d AlgebraicTopology.NormalizedMooreComplex.objD
 
 /- warning: algebraic_topology.normalized_Moore_complex.d_squared -> AlgebraicTopology.NormalizedMooreComplex.d_squared is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align algebraic_topology.normalized_Moore_complex.d_squared AlgebraicTopology.NormalizedMooreComplex.d_squaredₓ'. -/
 theorem d_squared (n : ℕ) : objD X (n + 1) ≫ objD X n = 0 :=
   by
@@ -209,10 +203,7 @@ def normalizedMooreComplex : SimplicialObject C ⥤ ChainComplex C ℕ
 variable {C}
 
 /- warning: algebraic_topology.normalized_Moore_complex_obj_d -> AlgebraicTopology.normalizedMooreComplex_objD is a dubious translation:
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(ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 (CategoryTheory.Abelian.toPreadditive.{u2, u1} C _inst_1 _inst_2)) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 (CategoryTheory.Abelian.toPreadditive.{u2, u1} C _inst_1 _inst_2)) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat 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Nat.canonicallyOrderedCommSemiring)) (Prefunctor.obj.{succ u2, succ u2, max u1 u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (CategoryTheory.Category.toCategoryStruct.{u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u2, u1} C _inst_1))) (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 (CategoryTheory.Abelian.toPreadditive.{u2, u1} C _inst_1 _inst_2)) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) 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(AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 (CategoryTheory.Abelian.toPreadditive.{u2, u1} C _inst_1 _inst_2)) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring))))) (CategoryTheory.Functor.toPrefunctor.{u2, u2, max u1 u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u2, u1} C _inst_1) (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 (CategoryTheory.Abelian.toPreadditive.{u2, u1} C _inst_1 _inst_2)) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 (CategoryTheory.Abelian.toPreadditive.{u2, u1} C _inst_1 _inst_2)) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat 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Nat.canonicallyOrderedCommSemiring)) (Prefunctor.obj.{succ u2, succ u2, max u1 u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (CategoryTheory.Category.toCategoryStruct.{u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u2, u1} C _inst_1))) (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 (CategoryTheory.Abelian.toPreadditive.{u2, u1} C _inst_1 _inst_2)) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) 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(AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 (CategoryTheory.Abelian.toPreadditive.{u2, u1} C _inst_1 _inst_2)) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring))))) (CategoryTheory.Functor.toPrefunctor.{u2, u2, max u1 u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u2, u1} C _inst_1) (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 (CategoryTheory.Abelian.toPreadditive.{u2, u1} C _inst_1 _inst_2)) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 (CategoryTheory.Abelian.toPreadditive.{u2, u1} C _inst_1 _inst_2)) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring))) (AlgebraicTopology.normalizedMooreComplex.{u1, u2} C _inst_1 _inst_2)) X) (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) n) (AlgebraicTopology.NormalizedMooreComplex.objD.{u1, u2} C _inst_1 _inst_2 X n)
+<too large>
 Case conversion may be inaccurate. Consider using '#align algebraic_topology.normalized_Moore_complex_obj_d AlgebraicTopology.normalizedMooreComplex_objDₓ'. -/
 @[simp]
 theorem normalizedMooreComplex_objD (X : SimplicialObject C) (n : ℕ) :

mathlib commit https://github.com/leanprover-community/mathlib/commit/cd8fafa2fac98e1a67097e8a91ad9901cfde48af

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 
 ! This file was ported from Lean 3 source module algebraic_topology.Moore_complex
-! leanprover-community/mathlib commit 0bd2ea37bcba5769e14866170f251c9bc64e35d7
+! leanprover-community/mathlib commit ce38d86c0b2d427ce208c3cee3159cb421d2b3c4
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.CategoryTheory.Abelian.Basic
 /-!
 ## Moore complex
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We construct the normalized Moore complex, as a functor
 `simplicial_object C ⥤ chain_complex C ℕ`,
 for any abelian category `C`.

mathlib commit https://github.com/leanprover-community/mathlib/commit/17ad94b4953419f3e3ce3e77da3239c62d1d09f0

@@ -58,6 +58,12 @@ open CategoryTheory.Subobject
 
 variable (X : SimplicialObject C)
 
+/- warning: algebraic_topology.normalized_Moore_complex.obj_X -> AlgebraicTopology.NormalizedMooreComplex.objX is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Abelian.{u2, u1} C _inst_1] (X : CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (n : Nat), CategoryTheory.Subobject.{u2, u1} C _inst_1 (CategoryTheory.Functor.obj.{0, u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 X (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n)))
+but is expected to have type
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Abelian.{u2, u1} C _inst_1] (X : CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (n : Nat), CategoryTheory.Subobject.{u2, u1} C _inst_1 (Prefunctor.obj.{1, succ u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.CategoryStruct.toQuiver.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.toCategoryStruct.{0, 0} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory))) C (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u2, 0, u1} (Opposite.{1} SimplexCategory) (CategoryTheory.Category.opposite.{0, 0} SimplexCategory SimplexCategory.smallCategory) C _inst_1 X) (Opposite.op.{1} SimplexCategory (SimplexCategory.mk n)))
+Case conversion may be inaccurate. Consider using '#align algebraic_topology.normalized_Moore_complex.obj_X AlgebraicTopology.NormalizedMooreComplex.objXₓ'. -/
 /-- The normalized Moore complex in degree `n`, as a subobject of `X n`.
 -/
 @[simp]
@@ -66,6 +72,12 @@ def objX : ∀ n : ℕ, Subobject (X.obj (op (SimplexCategory.mk n)))
   | n + 1 => Finset.univ.inf fun k : Fin (n + 1) => kernelSubobject (X.δ k.succ)
 #align algebraic_topology.normalized_Moore_complex.obj_X AlgebraicTopology.NormalizedMooreComplex.objX
 
+/- warning: algebraic_topology.normalized_Moore_complex.obj_d -> AlgebraicTopology.NormalizedMooreComplex.objD is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align algebraic_topology.normalized_Moore_complex.obj_d AlgebraicTopology.NormalizedMooreComplex.objDₓ'. -/
 /-- The differentials in the normalized Moore complex.
 -/
 @[simp]
@@ -95,6 +107,12 @@ def objD : ∀ n : ℕ, (objX X (n + 1) : C) ⟶ (objX X n : C)
     exact kernel_subobject_arrow_comp _
 #align algebraic_topology.normalized_Moore_complex.obj_d AlgebraicTopology.NormalizedMooreComplex.objD
 
+/- warning: algebraic_topology.normalized_Moore_complex.d_squared -> AlgebraicTopology.NormalizedMooreComplex.d_squared is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align algebraic_topology.normalized_Moore_complex.d_squared AlgebraicTopology.NormalizedMooreComplex.d_squaredₓ'. -/
 theorem d_squared (n : ℕ) : objD X (n + 1) ≫ objD X n = 0 :=
   by
   -- It's a pity we need to do a case split here;
@@ -114,6 +132,7 @@ theorem d_squared (n : ℕ) : objD X (n + 1) ≫ objD X n = 0 :=
     simp
 #align algebraic_topology.normalized_Moore_complex.d_squared AlgebraicTopology.NormalizedMooreComplex.d_squared
 
+#print AlgebraicTopology.NormalizedMooreComplex.obj /-
 /-- The normalized Moore complex functor, on objects.
 -/
 @[simps]
@@ -124,9 +143,11 @@ def obj (X : SimplicialObject C) : ChainComplex C ℕ :=
       X)
     (d_squared X)
 #align algebraic_topology.normalized_Moore_complex.obj AlgebraicTopology.NormalizedMooreComplex.obj
+-/
 
 variable {X} {Y : SimplicialObject C} (f : X ⟶ Y)
 
+#print AlgebraicTopology.NormalizedMooreComplex.map /-
 /-- The normalized Moore complex functor, on morphisms.
 -/
 @[simps]
@@ -149,6 +170,7 @@ def map (f : X ⟶ Y) : obj X ⟶ obj Y :=
     · ext
       simp
 #align algebraic_topology.normalized_Moore_complex.map AlgebraicTopology.NormalizedMooreComplex.map
+-/
 
 end NormalizedMooreComplex
 
@@ -156,6 +178,7 @@ open NormalizedMooreComplex
 
 variable (C)
 
+#print AlgebraicTopology.normalizedMooreComplex /-
 /-- The (normalized) Moore complex of a simplicial object `X` in an abelian category `C`.
 
 The `n`-th object is intersection of
@@ -178,9 +201,16 @@ def normalizedMooreComplex : SimplicialObject C ⥤ ChainComplex C ℕ
     ext n
     cases n <;> simp
 #align algebraic_topology.normalized_Moore_complex AlgebraicTopology.normalizedMooreComplex
+-/
 
 variable {C}
 
+/- warning: algebraic_topology.normalized_Moore_complex_obj_d -> AlgebraicTopology.normalizedMooreComplex_objD is a dubious translation:
+lean 3 declaration is
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_inst_2) X) (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))) n) (AlgebraicTopology.NormalizedMooreComplex.objD.{u1, u2} C _inst_1 _inst_2 X n)
+but is expected to have type
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(AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 (CategoryTheory.Abelian.toPreadditive.{u2, u1} C _inst_1 _inst_2)) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring))))) (CategoryTheory.Functor.toPrefunctor.{u2, u2, max u1 u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u2, u1} C _inst_1) (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 (CategoryTheory.Abelian.toPreadditive.{u2, u1} C _inst_1 _inst_2)) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring)) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} C _inst_1 (CategoryTheory.Abelian.toPreadditive.{u2, u1} C _inst_1 _inst_2)) (ComplexShape.down.{0} Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring))) (AlgebraicTopology.normalizedMooreComplex.{u1, u2} C _inst_1 _inst_2)) X) (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) n) (AlgebraicTopology.NormalizedMooreComplex.objD.{u1, u2} C _inst_1 _inst_2 X n)
+Case conversion may be inaccurate. Consider using '#align algebraic_topology.normalized_Moore_complex_obj_d AlgebraicTopology.normalizedMooreComplex_objDₓ'. -/
 @[simp]
 theorem normalizedMooreComplex_objD (X : SimplicialObject C) (n : ℕ) :
     ((normalizedMooreComplex C).obj X).d (n + 1) n = NormalizedMooreComplex.objD X n := by

mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

• converts "--porting note" into "-- Porting note";
• converts "porting note" into "Porting note".

@@ -167,10 +167,10 @@ set_option linter.uppercaseLean3 false in
 
 variable {C}
 
--- porting note: removed @[simp] as it is not in normal form
+-- Porting note: removed @[simp] as it is not in normal form
 theorem normalizedMooreComplex_objD (X : SimplicialObject C) (n : ℕ) :
     ((normalizedMooreComplex C).obj X).d (n + 1) n = NormalizedMooreComplex.objD X n :=
--- porting note: in mathlib, `apply ChainComplex.of_d` was enough
+-- Porting note: in mathlib, `apply ChainComplex.of_d` was enough
   ChainComplex.of_d _ _ (d_squared X) n
 set_option linter.uppercaseLean3 false in
 #align algebraic_topology.normalized_Moore_complex_obj_d AlgebraicTopology.normalizedMooreComplex_objD

We remove all possible occurences of Type _ and Sort _ in favor of Type* and Sort*.

This has nice performance benefits.

@@ -41,7 +41,7 @@ open Opposite
 
 namespace AlgebraicTopology
 
-variable {C : Type _} [Category C] [Abelian C]
+variable {C : Type*} [Category C] [Abelian C]
 
 attribute [local instance] Abelian.hasPullbacks
 

• depends on: #5966

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -2,16 +2,13 @@
 Copyright (c) 2021 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module algebraic_topology.Moore_complex
-! leanprover-community/mathlib commit 0bd2ea37bcba5769e14866170f251c9bc64e35d7
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Homology.HomologicalComplex
 import Mathlib.AlgebraicTopology.SimplicialObject
 import Mathlib.CategoryTheory.Abelian.Basic
 
+#align_import algebraic_topology.Moore_complex from "leanprover-community/mathlib"@"0bd2ea37bcba5769e14866170f251c9bc64e35d7"
+
 /-!
 ## Moore complex
 

• depends on: https://github.com/leanprover/std4/pull/163
• depends on: #5584
• depends on: #5715
• depends on: #5729
• depends on: https://github.com/leanprover/std4/pull/173

Co-authored-by: Komyyy <pol_tta@outlook.jp> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Mario Carneiro <di.gama@gmail.com>

@@ -60,13 +60,22 @@ variable (X : SimplicialObject C)
 
 /-- The normalized Moore complex in degree `n`, as a subobject of `X n`.
 -/
-@[simp]
 def objX : ∀ n : ℕ, Subobject (X.obj (op (SimplexCategory.mk n)))
   | 0 => ⊤
   | n + 1 => Finset.univ.inf fun k : Fin (n + 1) => kernelSubobject (X.δ k.succ)
 set_option linter.uppercaseLean3 false in
 #align algebraic_topology.normalized_Moore_complex.obj_X AlgebraicTopology.NormalizedMooreComplex.objX
 
+theorem objX_zero : objX X 0 = ⊤ :=
+  rfl
+
+theorem objX_add_one (n) :
+    objX X (n + 1) = Finset.univ.inf fun k : Fin (n + 1) => kernelSubobject (X.δ k.succ) :=
+  rfl
+
+attribute [eqns objX_zero objX_add_one] objX
+attribute [simp] objX
+
 /-- The differentials in the normalized Moore complex.
 -/
 @[simp]
@@ -153,8 +162,9 @@ which maps each of these intersections of kernels to the next.
 def normalizedMooreComplex : SimplicialObject C ⥤ ChainComplex C ℕ where
   obj := obj
   map f := map f
-  map_id X := by ext (_ | _) <;> aesop_cat
-  map_comp f g := by ext (_ | _) <;> apply Subobject.eq_of_comp_arrow_eq <;> aesop_cat
+  -- Porting note: Why `aesop_cat` can't do `dsimp` steps?
+  map_id X := by ext (_ | _) <;> dsimp <;> aesop_cat
+  map_comp f g := by ext (_ | _) <;> apply Subobject.eq_of_comp_arrow_eq <;> dsimp <;> aesop_cat
 set_option linter.uppercaseLean3 false in
 #align algebraic_topology.normalized_Moore_complex AlgebraicTopology.normalizedMooreComplex
 

This PR is the result of running

find . -type f -name "*.lean" -exec sed -i -E 's/^( +)\. /\1· /' {} \;
find . -type f -name "*.lean" -exec sed -i -E 'N;s/^( +·)\n +(.*)$/\1 \2/;P;D' {} \;

which firstly replaces . focusing dots with · and secondly removes isolated instances of such dots, unifying them with the following line. A new rule is placed in the style linter to verify this.

@@ -95,11 +95,11 @@ theorem d_squared (n : ℕ) : objD X (n + 1) ≫ objD X n = 0 := by
   -- It's a pity we need to do a case split here;
     -- after the first erw the proofs are almost identical
   rcases n with _ | n <;> dsimp [objD]
-  . erw [Subobject.factorThru_arrow_assoc, Category.assoc,
+  · erw [Subobject.factorThru_arrow_assoc, Category.assoc,
       ← X.δ_comp_δ_assoc (Fin.zero_le (0 : Fin 2)),
       ← factorThru_arrow _ _ (finset_inf_arrow_factors Finset.univ _ (0 : Fin 2) (by simp)),
       Category.assoc, kernelSubobject_arrow_comp_assoc, zero_comp, comp_zero]
-  . erw [factorThru_right, factorThru_eq_zero, factorThru_arrow_assoc, Category.assoc,
+  · erw [factorThru_right, factorThru_eq_zero, factorThru_arrow_assoc, Category.assoc,
       ← X.δ_comp_δ (Fin.zero_le (0 : Fin (n + 3))),
       ← factorThru_arrow _ _ (finset_inf_arrow_factors Finset.univ _ (0 : Fin (n + 3)) (by simp)),
       Category.assoc, kernelSubobject_arrow_comp_assoc, zero_comp, comp_zero]

• Run a non-interactive version of fix-comments.py on all files.
• Go through the diff and manually add/discard/edit chunks.

@@ -73,7 +73,7 @@ set_option linter.uppercaseLean3 false in
 def objD : ∀ n : ℕ, (objX X (n + 1) : C) ⟶ (objX X n : C)
   | 0 => Subobject.arrow _ ≫ X.δ (0 : Fin 2) ≫ inv (⊤ : Subobject _).arrow
   | n + 1 => by
-    -- The differential is `Subobject.arrow _ ≫ X.δ (0 : fin (n+3))`,
+    -- The differential is `Subobject.arrow _ ≫ X.δ (0 : Fin (n+3))`,
     -- factored through the intersection of the kernels.
     refine' factorThru _ (arrow _ ≫ X.δ (0 : Fin (n + 3))) _
     -- We now need to show that it factors!

Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com>