algebraic_topology.dold_kan.homotopy_equivalence

Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

Changes in mathlib3

f951e201

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

9d2f0748

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2022 Joël Riou. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joël Riou
 -/
-import Mathbin.AlgebraicTopology.DoldKan.Normalized
+import AlgebraicTopology.DoldKan.Normalized
 
 #align_import algebraic_topology.dold_kan.homotopy_equivalence from "leanprover-community/mathlib"@"9d2f0748e6c50d7a2657c564b1ff2c695b39148d"

9d2f0748

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,14 +2,11 @@
 Copyright (c) 2022 Joël Riou. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joël Riou
-
-! This file was ported from Lean 3 source module algebraic_topology.dold_kan.homotopy_equivalence
-! leanprover-community/mathlib commit 9d2f0748e6c50d7a2657c564b1ff2c695b39148d
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.AlgebraicTopology.DoldKan.Normalized
 
+#align_import algebraic_topology.dold_kan.homotopy_equivalence from "leanprover-community/mathlib"@"9d2f0748e6c50d7a2657c564b1ff2c695b39148d"
+
 /-!
 
 # The normalized Moore complex and the alternating face map complex are homotopy equivalent

9d2f0748

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -95,6 +95,7 @@ def homotopyPInftyToId : Homotopy (PInfty : K[X] ⟶ _) (𝟙 _)
 #align algebraic_topology.dold_kan.homotopy_P_infty_to_id AlgebraicTopology.DoldKan.homotopyPInftyToId
 -/
 
+#print AlgebraicTopology.DoldKan.homotopyEquivNormalizedMooreComplexAlternatingFaceMapComplex /-
 /-- The inclusion of the Moore complex in the alternating face map complex
 is an homotopy equivalence -/
 @[simps]
@@ -110,6 +111,7 @@ def homotopyEquivNormalizedMooreComplexAlternatingFaceMapComplex {A : Type _} [C
       (Homotopy.ofEq (PInftyToNormalizedMooreComplex_comp_inclusionOfMooreComplexMap Y))
       (homotopyPInftyToId Y)
 #align algebraic_topology.dold_kan.homotopy_equiv_normalized_Moore_complex_alternating_face_map_complex AlgebraicTopology.DoldKan.homotopyEquivNormalizedMooreComplexAlternatingFaceMapComplex
+-/
 
 end DoldKan

9d2f0748

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -26,7 +26,7 @@ normalized Moore complex and the alternating face map complex of a simplicial ob
 
 open CategoryTheory CategoryTheory.Category CategoryTheory.Limits CategoryTheory.Preadditive
 
-open Simplicial DoldKan
+open scoped Simplicial DoldKan
 
 noncomputable section

9d2f0748

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -95,9 +95,6 @@ def homotopyPInftyToId : Homotopy (PInfty : K[X] ⟶ _) (𝟙 _)
 #align algebraic_topology.dold_kan.homotopy_P_infty_to_id AlgebraicTopology.DoldKan.homotopyPInftyToId
 -/
 
-/- warning: algebraic_topology.dold_kan.homotopy_equiv_normalized_Moore_complex_alternating_face_map_complex -> AlgebraicTopology.DoldKan.homotopyEquivNormalizedMooreComplexAlternatingFaceMapComplex is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.homotopy_equiv_normalized_Moore_complex_alternating_face_map_complex AlgebraicTopology.DoldKan.homotopyEquivNormalizedMooreComplexAlternatingFaceMapComplexₓ'. -/
 /-- The inclusion of the Moore complex in the alternating face map complex
 is an homotopy equivalence -/
 @[simps]

9d2f0748

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -47,8 +47,7 @@ noncomputable def homotopyPToId : ∀ q : ℕ, Homotopy (P q : K[X] ⟶ _) (𝟙
         (Homotopy.trans
           (Homotopy.add (homotopy_P_to_id q) (Homotopy.compLeft (homotopy_Hσ_to_zero q) (P q)))
           (Homotopy.ofEq _))
-    · unfold P
-      simp only [comp_add, comp_id]
+    · unfold P; simp only [comp_add, comp_id]
     · simp only [add_zero, comp_zero]
 #align algebraic_topology.dold_kan.homotopy_P_to_id AlgebraicTopology.DoldKan.homotopyPToId
 -/

9d2f0748

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -97,10 +97,7 @@ def homotopyPInftyToId : Homotopy (PInfty : K[X] ⟶ _) (𝟙 _)
 -/
 
 /- warning: algebraic_topology.dold_kan.homotopy_equiv_normalized_Moore_complex_alternating_face_map_complex -> AlgebraicTopology.DoldKan.homotopyEquivNormalizedMooreComplexAlternatingFaceMapComplex is a dubious translation:
-lean 3 declaration is
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-but is expected to have type
-  forall {A : Type.{u1}} [_inst_3 : CategoryTheory.Category.{u2, u1} A] [_inst_4 : CategoryTheory.Abelian.{u2, u1} A _inst_3] {Y : CategoryTheory.SimplicialObject.{u2, u1} A _inst_3}, HomotopyEquiv.{u2, u1, 0} Nat A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4) (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)) (Prefunctor.obj.{succ u2, succ u2, max u1 u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} A _inst_3) (CategoryTheory.CategoryStruct.toQuiver.{u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} A _inst_3) (CategoryTheory.Category.toCategoryStruct.{u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} A _inst_3) (CategoryTheory.instCategorySimplicialObject.{u2, u1} A _inst_3))) (ChainComplex.{u2, u1, 0} A _inst_3 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4)) 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.CategoryStruct.toQuiver.{u2, max u1 u2} (ChainComplex.{u2, u1, 0} A _inst_3 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4)) 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.Category.toCategoryStruct.{u2, max u1 u2} (ChainComplex.{u2, u1, 0} A _inst_3 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4)) 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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Nat.canonicallyOrderedCommSemiring))) (AlgebraicTopology.normalizedMooreComplex.{u1, u2} A _inst_3 _inst_4)) Y) (Prefunctor.obj.{succ u2, succ u2, max u1 u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} A _inst_3) (CategoryTheory.CategoryStruct.toQuiver.{u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} A _inst_3) (CategoryTheory.Category.toCategoryStruct.{u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} A _inst_3) (CategoryTheory.instCategorySimplicialObject.{u2, u1} A _inst_3))) (ChainComplex.{u2, u1, 0} A _inst_3 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4)) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) 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(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.alternatingFaceMapComplex.{u1, u2} A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4))) Y)
+<too large>
 Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.homotopy_equiv_normalized_Moore_complex_alternating_face_map_complex AlgebraicTopology.DoldKan.homotopyEquivNormalizedMooreComplexAlternatingFaceMapComplexₓ'. -/
 /-- The inclusion of the Moore complex in the alternating face map complex
 is an homotopy equivalence -/

9d2f0748

bump to nightly-2023-04-28-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/fa78268d4d77cb2b2fbc89f0527e2e7807763780

473bb540

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joël Riou
 
 ! This file was ported from Lean 3 source module algebraic_topology.dold_kan.homotopy_equivalence
-! leanprover-community/mathlib commit f951e201d416fb50cc7826171d80aa510ec20747
+! leanprover-community/mathlib commit 9d2f0748e6c50d7a2657c564b1ff2c695b39148d
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.AlgebraicTopology.DoldKan.Normalized
 
 # The normalized Moore complex and the alternating face map complex are homotopy equivalent
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file, when the category `A` is abelian, we obtain the homotopy equivalence
 `homotopy_equiv_normalized_Moore_complex_alternating_face_map_complex` between the
 normalized Moore complex and the alternating face map complex of a simplicial object in `A`.

f951e201

bump to nightly-2023-04-24-14

mathlib commit https://github.com/leanprover-community/mathlib/commit/09079525fd01b3dda35e96adaa08d2f943e1648c

076cf722

Diff

@@ -33,6 +33,7 @@ namespace DoldKan
 
 variable {C : Type _} [Category C] [Preadditive C] (X : SimplicialObject C)
 
+#print AlgebraicTopology.DoldKan.homotopyPToId /-
 /-- Inductive construction of homotopies from `P q` to `𝟙 _` -/
 noncomputable def homotopyPToId : ∀ q : ℕ, Homotopy (P q : K[X] ⟶ _) (𝟙 _)
   | 0 => Homotopy.refl _
@@ -47,12 +48,16 @@ noncomputable def homotopyPToId : ∀ q : ℕ, Homotopy (P q : K[X] ⟶ _) (𝟙
       simp only [comp_add, comp_id]
     · simp only [add_zero, comp_zero]
 #align algebraic_topology.dold_kan.homotopy_P_to_id AlgebraicTopology.DoldKan.homotopyPToId
+-/
 
+#print AlgebraicTopology.DoldKan.homotopyQToZero /-
 /-- The complement projection `Q q` to `P q` is homotopic to zero. -/
 def homotopyQToZero (q : ℕ) : Homotopy (Q q : K[X] ⟶ _) 0 :=
   Homotopy.equivSubZero.toFun (homotopyPToId X q).symm
 #align algebraic_topology.dold_kan.homotopy_Q_to_zero AlgebraicTopology.DoldKan.homotopyQToZero
+-/
 
+#print AlgebraicTopology.DoldKan.homotopyPToId_eventually_constant /-
 theorem homotopyPToId_eventually_constant {q n : ℕ} (hqn : n < q) :
     ((homotopyPToId X (q + 1)).Hom n (n + 1) : X _[n] ⟶ X _[n + 1]) =
       (homotopyPToId X q).Hom n (n + 1) :=
@@ -63,9 +68,11 @@ theorem homotopyPToId_eventually_constant {q n : ℕ} (hqn : n < q) :
     Homotopy.nullHomotopy'_hom, ComplexShape.down_Rel, eq_self_iff_true, dite_eq_ite, if_true,
     comp_zero, add_zero, zero_add]
 #align algebraic_topology.dold_kan.homotopy_P_to_id_eventually_constant AlgebraicTopology.DoldKan.homotopyPToId_eventually_constant
+-/
 
 variable (X)
 
+#print AlgebraicTopology.DoldKan.homotopyPInftyToId /-
 /-- Construction of the homotopy from `P_infty` to the identity using eventually
 (termwise) constant homotopies from `P q` to the identity for all `q` -/
 @[simps]
@@ -84,7 +91,14 @@ def homotopyPInftyToId : Homotopy (PInfty : K[X] ⟶ _) (𝟙 _)
         homotopy_P_to_id_eventually_constant X (lt_add_one (n + 1))] using
         (homotopy_P_to_id X (n + 2)).comm (n + 1)
 #align algebraic_topology.dold_kan.homotopy_P_infty_to_id AlgebraicTopology.DoldKan.homotopyPInftyToId
+-/
 
+/- warning: algebraic_topology.dold_kan.homotopy_equiv_normalized_Moore_complex_alternating_face_map_complex -> AlgebraicTopology.DoldKan.homotopyEquivNormalizedMooreComplexAlternatingFaceMapComplex is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} [_inst_3 : CategoryTheory.Category.{u2, u1} A] [_inst_4 : CategoryTheory.Abelian.{u2, u1} A _inst_3] {Y : CategoryTheory.SimplicialObject.{u2, u1} A _inst_3}, HomotopyEquiv.{u2, u1, 0} Nat A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4) (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))))) Nat.hasOne) (CategoryTheory.Functor.obj.{u2, u2, max u2 u1, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} A _inst_3) (CategoryTheory.SimplicialObject.category.{u2, u1} A _inst_3) (ChainComplex.{u2, u1, 0} A _inst_3 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4)) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) Nat.hasOne) (HomologicalComplex.CategoryTheory.category.{u2, u1, 0} Nat A _inst_3 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4)) (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))))) Nat.hasOne)) (AlgebraicTopology.normalizedMooreComplex.{u1, u2} A _inst_3 _inst_4) Y) (CategoryTheory.Functor.obj.{u2, u2, max u2 u1, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} A _inst_3) (CategoryTheory.SimplicialObject.category.{u2, u1} A _inst_3) (ChainComplex.{u2, u1, 0} A _inst_3 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4)) Nat (AddRightCancelMonoid.toAddRightCancelSemigroup.{0} Nat (AddCancelMonoid.toAddRightCancelMonoid.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) Nat.hasOne) (HomologicalComplex.CategoryTheory.category.{u2, u1, 0} Nat A _inst_3 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4)) (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))))) Nat.hasOne)) (AlgebraicTopology.alternatingFaceMapComplex.{u1, u2} A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4)) Y)
+but is expected to have type
+  forall {A : Type.{u1}} [_inst_3 : CategoryTheory.Category.{u2, u1} A] [_inst_4 : CategoryTheory.Abelian.{u2, u1} A _inst_3] {Y : CategoryTheory.SimplicialObject.{u2, u1} A _inst_3}, HomotopyEquiv.{u2, u1, 0} Nat A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4) (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)) (Prefunctor.obj.{succ u2, succ u2, max u1 u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} A _inst_3) (CategoryTheory.CategoryStruct.toQuiver.{u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} A _inst_3) (CategoryTheory.Category.toCategoryStruct.{u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} A _inst_3) (CategoryTheory.instCategorySimplicialObject.{u2, u1} A _inst_3))) (ChainComplex.{u2, u1, 0} A _inst_3 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4)) 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.CategoryStruct.toQuiver.{u2, max u1 u2} (ChainComplex.{u2, u1, 0} A _inst_3 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4)) 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.Category.toCategoryStruct.{u2, max u1 u2} (ChainComplex.{u2, u1, 0} A _inst_3 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4)) 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 A _inst_3 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4)) (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} A _inst_3) (CategoryTheory.instCategorySimplicialObject.{u2, u1} A _inst_3) (ChainComplex.{u2, u1, 0} A _inst_3 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4)) 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 A _inst_3 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4)) (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} A _inst_3 _inst_4)) Y) (Prefunctor.obj.{succ u2, succ u2, max u1 u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} A _inst_3) (CategoryTheory.CategoryStruct.toQuiver.{u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} A _inst_3) (CategoryTheory.Category.toCategoryStruct.{u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} A _inst_3) (CategoryTheory.instCategorySimplicialObject.{u2, u1} A _inst_3))) (ChainComplex.{u2, u1, 0} A _inst_3 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4)) 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.CategoryStruct.toQuiver.{u2, max u1 u2} (ChainComplex.{u2, u1, 0} A _inst_3 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4)) 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.Category.toCategoryStruct.{u2, max u1 u2} (ChainComplex.{u2, u1, 0} A _inst_3 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4)) 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 A _inst_3 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4)) (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} A _inst_3) (CategoryTheory.instCategorySimplicialObject.{u2, u1} A _inst_3) (ChainComplex.{u2, u1, 0} A _inst_3 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4)) 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 A _inst_3 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u1} A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4)) (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.alternatingFaceMapComplex.{u1, u2} A _inst_3 (CategoryTheory.Abelian.toPreadditive.{u2, u1} A _inst_3 _inst_4))) Y)
+Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.homotopy_equiv_normalized_Moore_complex_alternating_face_map_complex AlgebraicTopology.DoldKan.homotopyEquivNormalizedMooreComplexAlternatingFaceMapComplexₓ'. -/
 /-- The inclusion of the Moore complex in the alternating face map complex
 is an homotopy equivalence -/
 @[simps]

f951e201

bump to nightly-2023-04-24-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/09079525fd01b3dda35e96adaa08d2f943e1648c

1d7f47bc

Diff

@@ -93,11 +93,11 @@ def homotopyEquivNormalizedMooreComplexAlternatingFaceMapComplex {A : Type _} [C
     HomotopyEquiv ((normalizedMooreComplex A).obj Y) ((alternatingFaceMapComplex A).obj Y)
     where
   Hom := inclusionOfMooreComplexMap Y
-  inv := pInftyToNormalizedMooreComplex Y
+  inv := PInftyToNormalizedMooreComplex Y
   homotopyHomInvId := Homotopy.ofEq (splitMonoInclusionOfMooreComplexMap Y).id
   homotopyInvHomId :=
     Homotopy.trans
-      (Homotopy.ofEq (pInftyToNormalizedMooreComplex_comp_inclusionOfMooreComplexMap Y))
+      (Homotopy.ofEq (PInftyToNormalizedMooreComplex_comp_inclusionOfMooreComplexMap Y))
       (homotopyPInftyToId Y)
 #align algebraic_topology.dold_kan.homotopy_equiv_normalized_Moore_complex_alternating_face_map_complex AlgebraicTopology.DoldKan.homotopyEquivNormalizedMooreComplexAlternatingFaceMapComplex

f951e201

bump to nightly-2023-04-20-20

mathlib commit https://github.com/leanprover-community/mathlib/commit/730c6d4cab72b9d84fcfb9e95e8796e9cd8f40ba

e863e061

Diff

@@ -69,7 +69,7 @@ variable (X)
 /-- Construction of the homotopy from `P_infty` to the identity using eventually
 (termwise) constant homotopies from `P q` to the identity for all `q` -/
 @[simps]
-def homotopyPInftyToId : Homotopy (pInfty : K[X] ⟶ _) (𝟙 _)
+def homotopyPInftyToId : Homotopy (PInfty : K[X] ⟶ _) (𝟙 _)
     where
   Hom i j := (homotopyPToId X (j + 1)).Hom i j
   zero' i j hij := Homotopy.zero _ i j hij

f951e201

bump to nightly-2023-04-20-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/730c6d4cab72b9d84fcfb9e95e8796e9cd8f40ba

3940090c

Diff

@@ -34,7 +34,7 @@ namespace DoldKan
 variable {C : Type _} [Category C] [Preadditive C] (X : SimplicialObject C)
 
 /-- Inductive construction of homotopies from `P q` to `𝟙 _` -/
-noncomputable def homotopyPToId : ∀ q : ℕ, Homotopy (p q : K[X] ⟶ _) (𝟙 _)
+noncomputable def homotopyPToId : ∀ q : ℕ, Homotopy (P q : K[X] ⟶ _) (𝟙 _)
   | 0 => Homotopy.refl _
   | q + 1 =>
     by
@@ -49,7 +49,7 @@ noncomputable def homotopyPToId : ∀ q : ℕ, Homotopy (p q : K[X] ⟶ _) (𝟙
 #align algebraic_topology.dold_kan.homotopy_P_to_id AlgebraicTopology.DoldKan.homotopyPToId
 
 /-- The complement projection `Q q` to `P q` is homotopic to zero. -/
-def homotopyQToZero (q : ℕ) : Homotopy (q q : K[X] ⟶ _) 0 :=
+def homotopyQToZero (q : ℕ) : Homotopy (Q q : K[X] ⟶ _) 0 :=
   Homotopy.equivSubZero.toFun (homotopyPToId X q).symm
 #align algebraic_topology.dold_kan.homotopy_Q_to_zero AlgebraicTopology.DoldKan.homotopyQToZero

f951e201

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

f951e201

chore: banish Type _ and Sort _ (#6499)

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

This has nice performance benefits.

32de3f67

Diff

@@ -27,7 +27,7 @@ namespace AlgebraicTopology
 
 namespace DoldKan
 
-variable {C : Type _} [Category C] [Preadditive C] (X : SimplicialObject C)
+variable {C : Type*} [Category C] [Preadditive C] (X : SimplicialObject C)
 
 /-- Inductive construction of homotopies from `P q` to `𝟙 _` -/
 noncomputable def homotopyPToId : ∀ q : ℕ, Homotopy (P q : K[X] ⟶ _) (𝟙 _)
@@ -90,7 +90,7 @@ set_option linter.uppercaseLean3 false in
 /-- The inclusion of the Moore complex in the alternating face map complex
 is a homotopy equivalence -/
 @[simps]
-def homotopyEquivNormalizedMooreComplexAlternatingFaceMapComplex {A : Type _} [Category A]
+def homotopyEquivNormalizedMooreComplexAlternatingFaceMapComplex {A : Type*} [Category A]
     [Abelian A] {Y : SimplicialObject A} :
     HomotopyEquiv ((normalizedMooreComplex A).obj Y) ((alternatingFaceMapComplex A).obj Y) where
   hom := inclusionOfMooreComplexMap Y

f951e201

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

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

89aa3a3b

Diff

@@ -2,14 +2,11 @@
 Copyright (c) 2022 Joël Riou. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joël Riou
-
-! This file was ported from Lean 3 source module algebraic_topology.dold_kan.homotopy_equivalence
-! leanprover-community/mathlib commit f951e201d416fb50cc7826171d80aa510ec20747
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.AlgebraicTopology.DoldKan.Normalized
 
+#align_import algebraic_topology.dold_kan.homotopy_equivalence from "leanprover-community/mathlib"@"f951e201d416fb50cc7826171d80aa510ec20747"
+
 /-!
 
 # The normalized Moore complex and the alternating face map complex are homotopy equivalent

f951e201

chore: fix focusing dots (#5708)

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.

cb02d09e

Diff

@@ -71,7 +71,7 @@ def homotopyPInftyToId : Homotopy (PInfty : K[X] ⟶ _) (𝟙 _) where
   zero i j hij := Homotopy.zero _ i j hij
   comm n := by
     rcases n with _|n
-    . simpa only [Homotopy.dNext_zero_chainComplex, Homotopy.prevD_chainComplex,
+    · simpa only [Homotopy.dNext_zero_chainComplex, Homotopy.prevD_chainComplex,
         PInfty_f, Nat.zero_eq, P_f_0_eq, zero_add] using (homotopyPToId X 2).comm 0
     · -- Porting note: this branch had been:
       -- simpa only [Homotopy.dNext_succ_chainComplex, Homotopy.prevD_chainComplex,

f951e201

chore: fix grammar 1/3 (#5001)

All of these are doc fixes

d8caa37d

Diff

@@ -91,7 +91,7 @@ set_option linter.uppercaseLean3 false in
 #align algebraic_topology.dold_kan.homotopy_P_infty_to_id AlgebraicTopology.DoldKan.homotopyPInftyToId
 
 /-- The inclusion of the Moore complex in the alternating face map complex
-is an homotopy equivalence -/
+is a homotopy equivalence -/
 @[simps]
 def homotopyEquivNormalizedMooreComplexAlternatingFaceMapComplex {A : Type _} [Category A]
     [Abelian A] {Y : SimplicialObject A} :

f951e201

chore: reenable eta, bump to nightly 2023-05-16 (#3414)

Now that leanprover/lean4#2210 has been merged, this PR:

removes all the set_option synthInstance.etaExperiment true commands (and some etaExperiment% term elaborators)
removes many but not quite all set_option maxHeartbeats commands
makes various other changes required to cope with leanprover/lean4#2210.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Matthew Ballard <matt@mrb.email>

a6e1045f

Diff

@@ -73,10 +73,20 @@ def homotopyPInftyToId : Homotopy (PInfty : K[X] ⟶ _) (𝟙 _) where
     rcases n with _|n
     . simpa only [Homotopy.dNext_zero_chainComplex, Homotopy.prevD_chainComplex,
         PInfty_f, Nat.zero_eq, P_f_0_eq, zero_add] using (homotopyPToId X 2).comm 0
-    · simpa only [Homotopy.dNext_succ_chainComplex, Homotopy.prevD_chainComplex,
-        HomologicalComplex.id_f, PInfty_f, ← P_is_eventually_constant (rfl.le : n + 1 ≤ n + 1),
-        homotopyPToId_eventually_constant X (lt_add_one (n + 1))] using
-        (homotopyPToId X (n + 2)).comm (n + 1)
+    · -- Porting note: this branch had been:
+      -- simpa only [Homotopy.dNext_succ_chainComplex, Homotopy.prevD_chainComplex,
+      --   HomologicalComplex.id_f, PInfty_f, ← P_is_eventually_constant (rfl.le : n + 1 ≤ n + 1),
+      --   homotopyPToId_eventually_constant X (lt_add_one (n + 1))] using
+      --   (homotopyPToId X (n + 2)).comm (n + 1)
+      -- which fails on leanprover/lean4:nightly-2023-05-16 due to
+      -- https://github.com/leanprover/lean4/pull/2146
+      -- The `erw` below clunkily works around this.
+      rw [Homotopy.dNext_succ_chainComplex, Homotopy.prevD_chainComplex, PInfty_f,
+        ← P_is_eventually_constant (rfl.le : n + 1 ≤ n + 1)]
+      erw [homotopyPToId_eventually_constant X (lt_add_one (Nat.succ n))]
+      have := (homotopyPToId X (n + 2)).comm (n + 1)
+      rw [Homotopy.dNext_succ_chainComplex, Homotopy.prevD_chainComplex] at this
+      exact this
 set_option linter.uppercaseLean3 false in
 #align algebraic_topology.dold_kan.homotopy_P_infty_to_id AlgebraicTopology.DoldKan.homotopyPInftyToId

f951e201

Revert "workaround"

This reverts commit 4e69a93a.

c8531428

Diff

@@ -73,17 +73,13 @@ def homotopyPInftyToId : Homotopy (PInfty : K[X] ⟶ _) (𝟙 _) where
     rcases n with _|n
     . simpa only [Homotopy.dNext_zero_chainComplex, Homotopy.prevD_chainComplex,
         PInfty_f, Nat.zero_eq, P_f_0_eq, zero_add] using (homotopyPToId X 2).comm 0
-    · have := (homotopyPToId X (n + 2)).comm (n + 1)
-      rw [Homotopy.dNext_succ_chainComplex, Homotopy.prevD_chainComplex] at this
-      rw [Homotopy.dNext_succ_chainComplex, Homotopy.prevD_chainComplex, PInfty_f,
-        ← P_is_eventually_constant (rfl.le : n + 1 ≤ n + 1),
-        homotopyPToId_eventually_constant X (lt_add_one (n + 1))]
-      exact this
+    · simpa only [Homotopy.dNext_succ_chainComplex, Homotopy.prevD_chainComplex,
+        HomologicalComplex.id_f, PInfty_f, ← P_is_eventually_constant (rfl.le : n + 1 ≤ n + 1),
+        homotopyPToId_eventually_constant X (lt_add_one (n + 1))] using
+        (homotopyPToId X (n + 2)).comm (n + 1)
 set_option linter.uppercaseLean3 false in
 #align algebraic_topology.dold_kan.homotopy_P_infty_to_id AlgebraicTopology.DoldKan.homotopyPInftyToId
 
--- #exit
-
 /-- The inclusion of the Moore complex in the alternating face map complex
 is an homotopy equivalence -/
 @[simps]

f951e201

workaround

4e69a93a

Diff

@@ -73,13 +73,17 @@ def homotopyPInftyToId : Homotopy (PInfty : K[X] ⟶ _) (𝟙 _) where
     rcases n with _|n
     . simpa only [Homotopy.dNext_zero_chainComplex, Homotopy.prevD_chainComplex,
         PInfty_f, Nat.zero_eq, P_f_0_eq, zero_add] using (homotopyPToId X 2).comm 0
-    · simpa only [Homotopy.dNext_succ_chainComplex, Homotopy.prevD_chainComplex,
-        HomologicalComplex.id_f, PInfty_f, ← P_is_eventually_constant (rfl.le : n + 1 ≤ n + 1),
-        homotopyPToId_eventually_constant X (lt_add_one (n + 1))] using
-        (homotopyPToId X (n + 2)).comm (n + 1)
+    · have := (homotopyPToId X (n + 2)).comm (n + 1)
+      rw [Homotopy.dNext_succ_chainComplex, Homotopy.prevD_chainComplex] at this
+      rw [Homotopy.dNext_succ_chainComplex, Homotopy.prevD_chainComplex, PInfty_f,
+        ← P_is_eventually_constant (rfl.le : n + 1 ≤ n + 1),
+        homotopyPToId_eventually_constant X (lt_add_one (n + 1))]
+      exact this
 set_option linter.uppercaseLean3 false in
 #align algebraic_topology.dold_kan.homotopy_P_infty_to_id AlgebraicTopology.DoldKan.homotopyPInftyToId
 
+-- #exit
+
 /-- The inclusion of the Moore complex in the alternating face map complex
 is an homotopy equivalence -/
 @[simps]

f951e201

feat: port AlgebraicTopology.DoldKan.HomotopyEquivalence (#3594)

f339c7df

`algebraic_topology.dold_kan.homotopy_equivalence` ⟷ `Mathlib.AlgebraicTopology.DoldKan.HomotopyEquivalence`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 525

algebraic_topology.dold_kan.homotopy_equivalence ⟷ Mathlib.AlgebraicTopology.DoldKan.HomotopyEquivalence

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 525

`algebraic_topology.dold_kan.homotopy_equivalence` ⟷ `Mathlib.AlgebraicTopology.DoldKan.HomotopyEquivalence`