algebraic_topology.dold_kan.functor_n | Mathlib porting status

(last sync)

feat(algebraic_topology/dold_kan): The Dold-Kan equivalence for abelian categories (#17926)

Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr>

Diff

@@ -32,7 +32,7 @@ defined in `equivalence_pseudoabelian.lean`.
 When the category `C` is abelian, a relation between `N₁` and the
 normalized Moore complex functor shall be obtained in `normalized.lean`.
 
-(See `equivalence.lean` for the general strategy of proof.)
+(See `equivalence.lean` for the general strategy of proof of the Dold-Kan equivalence.)
 
 -/

(first ported)

Changes in mathlib3port

mathlib3

mathlib3port

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.PInfty
+import AlgebraicTopology.DoldKan.PInfty
 
 #align_import algebraic_topology.dold_kan.functor_n from "leanprover-community/mathlib"@"32a7e535287f9c73f2e4d2aef306a39190f0b504"

bump to nightly-2023-08-06-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504

b0e28731

Diff

@@ -5,7 +5,7 @@ Authors: Joël Riou
 -/
 import Mathbin.AlgebraicTopology.DoldKan.PInfty
 
-#align_import algebraic_topology.dold_kan.functor_n from "leanprover-community/mathlib"@"86d1873c01a723aba6788f0b9051ae3d23b4c1c3"
+#align_import algebraic_topology.dold_kan.functor_n from "leanprover-community/mathlib"@"32a7e535287f9c73f2e4d2aef306a39190f0b504"
 
 /-!
 
@@ -33,7 +33,7 @@ defined in `equivalence_pseudoabelian.lean`.
 When the category `C` is abelian, a relation between `N₁` and the
 normalized Moore complex functor shall be obtained in `normalized.lean`.
 
-(See `equivalence.lean` for the general strategy of proof.)
+(See `equivalence.lean` for the general strategy of proof of the Dold-Kan equivalence.)
 
 -/

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.functor_n
-! leanprover-community/mathlib commit 86d1873c01a723aba6788f0b9051ae3d23b4c1c3
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.AlgebraicTopology.DoldKan.PInfty
 
+#align_import algebraic_topology.dold_kan.functor_n from "leanprover-community/mathlib"@"86d1873c01a723aba6788f0b9051ae3d23b4c1c3"
+
 /-!
 
 # Construction of functors N for the Dold-Kan correspondence

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -55,6 +55,7 @@ namespace DoldKan
 
 variable {C : Type _} [Category C] [Preadditive C]
 
+#print AlgebraicTopology.DoldKan.N₁ /-
 /-- The functor `simplicial_object C ⥤ karoubi (chain_complex C ℕ)` which maps
 `X` to the formal direct factor of `K[X]` defined by `P_infty`. -/
 @[simps]
@@ -70,12 +71,15 @@ def N₁ : SimplicialObject C ⥤ Karoubi (ChainComplex C ℕ)
   map_id' X := by ext; dsimp; simp
   map_comp' X Y Z f g := by ext; simp
 #align algebraic_topology.dold_kan.N₁ AlgebraicTopology.DoldKan.N₁
+-/
 
+#print AlgebraicTopology.DoldKan.N₂ /-
 /-- The extension of `N₁` to the Karoubi envelope of `simplicial_object C`. -/
 @[simps]
 def N₂ : Karoubi (SimplicialObject C) ⥤ Karoubi (ChainComplex C ℕ) :=
   (functorExtension₁ _ _).obj N₁
 #align algebraic_topology.dold_kan.N₂ AlgebraicTopology.DoldKan.N₂
+-/
 
 end DoldKan

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -55,12 +55,6 @@ namespace DoldKan
 
 variable {C : Type _} [Category C] [Preadditive C]
 
-/- warning: algebraic_topology.dold_kan.N₁ -> AlgebraicTopology.DoldKan.N₁ is a dubious translation:
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.N₁ AlgebraicTopology.DoldKan.N₁ₓ'. -/
 /-- The functor `simplicial_object C ⥤ karoubi (chain_complex C ℕ)` which maps
 `X` to the formal direct factor of `K[X]` defined by `P_infty`. -/
 @[simps]
@@ -77,12 +71,6 @@ def N₁ : SimplicialObject C ⥤ Karoubi (ChainComplex C ℕ)
   map_comp' X Y Z f g := by ext; simp
 #align algebraic_topology.dold_kan.N₁ AlgebraicTopology.DoldKan.N₁
 
-/- warning: algebraic_topology.dold_kan.N₂ -> AlgebraicTopology.DoldKan.N₂ is a dubious translation:
-lean 3 declaration is
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-Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.N₂ AlgebraicTopology.DoldKan.N₂ₓ'. -/
 /-- The extension of `N₁` to the Karoubi envelope of `simplicial_object C`. -/
 @[simps]
 def N₂ : Karoubi (SimplicialObject C) ⥤ Karoubi (ChainComplex C ℕ) :=

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -72,16 +72,9 @@ def N₁ : SimplicialObject C ⥤ Karoubi (ChainComplex C ℕ)
       idem := PInfty_idem }
   map X Y f :=
     { f := PInfty ≫ AlternatingFaceMapComplex.map f
-      comm := by
-        ext
-        simp }
-  map_id' X := by
-    ext
-    dsimp
-    simp
-  map_comp' X Y Z f g := by
-    ext
-    simp
+      comm := by ext; simp }
+  map_id' X := by ext; dsimp; simp
+  map_comp' X Y Z f g := by ext; simp
 #align algebraic_topology.dold_kan.N₁ AlgebraicTopology.DoldKan.N₁
 
 /- warning: algebraic_topology.dold_kan.N₂ -> AlgebraicTopology.DoldKan.N₂ is a dubious translation:

bump to nightly-2023-04-22-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/52932b3a083d4142e78a15dc928084a22fea9ba0

21a90077

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.functor_n
-! leanprover-community/mathlib commit 1995c7bbdbb0adb1b6d5acdc654f6cf46ed96cfa
+! leanprover-community/mathlib commit 86d1873c01a723aba6788f0b9051ae3d23b4c1c3
 ! 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.PInfty
 
 # Construction of functors N for the Dold-Kan correspondence
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 TODO (@joelriou) continue adding the various files referenced below
 
 In this file, we construct functors `N₁ : simplicial_object C ⥤ karoubi (chain_complex C ℕ)`

bump to nightly-2023-04-20-20

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

e863e061

Diff

@@ -52,17 +52,23 @@ namespace DoldKan
 
 variable {C : Type _} [Category C] [Preadditive C]
 
+/- warning: algebraic_topology.dold_kan.N₁ -> AlgebraicTopology.DoldKan.N₁ is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1], CategoryTheory.Functor.{u2, u2, max u2 u1, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (CategoryTheory.SimplicialObject.category.{u2, u1} C _inst_1) (CategoryTheory.Idempotents.Karoubi.{max u1 u2, u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{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))))) Nat.hasOne) (HomologicalComplex.CategoryTheory.category.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{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))))) Nat.hasOne))) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{max u1 u2, u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{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))))) Nat.hasOne) (HomologicalComplex.CategoryTheory.category.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{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))))) Nat.hasOne)))
+but is expected to have type
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1], CategoryTheory.Functor.{u2, u2, max u1 u2, max u1 u2} (CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u2, u1} C _inst_1) (CategoryTheory.Idempotents.Karoubi.{max u1 u2, u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{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 _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.Idempotents.Karoubi.instCategoryKaroubi.{max u1 u2, u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{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 _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))))
+Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.N₁ AlgebraicTopology.DoldKan.N₁ₓ'. -/
 /-- The functor `simplicial_object C ⥤ karoubi (chain_complex C ℕ)` which maps
 `X` to the formal direct factor of `K[X]` defined by `P_infty`. -/
 @[simps]
-def n₁ : SimplicialObject C ⥤ Karoubi (ChainComplex C ℕ)
+def N₁ : SimplicialObject C ⥤ Karoubi (ChainComplex C ℕ)
     where
   obj X :=
     { pt := AlternatingFaceMapComplex.obj X
-      p := pInfty
-      idem := pInfty_idem }
+      p := PInfty
+      idem := PInfty_idem }
   map X Y f :=
-    { f := pInfty ≫ AlternatingFaceMapComplex.map f
+    { f := PInfty ≫ AlternatingFaceMapComplex.map f
       comm := by
         ext
         simp }
@@ -73,13 +79,19 @@ def n₁ : SimplicialObject C ⥤ Karoubi (ChainComplex C ℕ)
   map_comp' X Y Z f g := by
     ext
     simp
-#align algebraic_topology.dold_kan.N₁ AlgebraicTopology.DoldKan.n₁
-
+#align algebraic_topology.dold_kan.N₁ AlgebraicTopology.DoldKan.N₁
+
+/- warning: algebraic_topology.dold_kan.N₂ -> AlgebraicTopology.DoldKan.N₂ is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1], CategoryTheory.Functor.{u2, u2, max u2 u1, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{max u2 u1, u2} (CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (CategoryTheory.SimplicialObject.category.{u2, u1} C _inst_1)) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{max u2 u1, u2} (CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (CategoryTheory.SimplicialObject.category.{u2, u1} C _inst_1)) (CategoryTheory.Idempotents.Karoubi.{max u1 u2, u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{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))))) Nat.hasOne) (HomologicalComplex.CategoryTheory.category.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{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))))) Nat.hasOne))) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{max u1 u2, u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{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))))) Nat.hasOne) (HomologicalComplex.CategoryTheory.category.{u2, u1, 0} Nat C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{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))))) Nat.hasOne)))
+but is expected to have type
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Preadditive.{u2, u1} C _inst_1], CategoryTheory.Functor.{u2, u2, max u1 u2, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{max u1 u2, u2} (CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u2, u1} C _inst_1)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max u1 u2, u2} (CategoryTheory.SimplicialObject.{u2, u1} C _inst_1) (CategoryTheory.instCategorySimplicialObject.{u2, u1} C _inst_1)) (CategoryTheory.Idempotents.Karoubi.{max u1 u2, u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{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 _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.Idempotents.Karoubi.instCategoryKaroubi.{max u1 u2, u2} (ChainComplex.{u2, u1, 0} C _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{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 _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))))
+Case conversion may be inaccurate. Consider using '#align algebraic_topology.dold_kan.N₂ AlgebraicTopology.DoldKan.N₂ₓ'. -/
 /-- The extension of `N₁` to the Karoubi envelope of `simplicial_object C`. -/
 @[simps]
-def n₂ : Karoubi (SimplicialObject C) ⥤ Karoubi (ChainComplex C ℕ) :=
-  (functorExtension₁ _ _).obj n₁
-#align algebraic_topology.dold_kan.N₂ AlgebraicTopology.DoldKan.n₂
+def N₂ : Karoubi (SimplicialObject C) ⥤ Karoubi (ChainComplex C ℕ) :=
+  (functorExtension₁ _ _).obj N₁
+#align algebraic_topology.dold_kan.N₂ AlgebraicTopology.DoldKan.N₂
 
 end DoldKan

bump to nightly-2023-02-28-22

mathlib commit https://github.com/leanprover-community/mathlib/commit/9da1b3534b65d9661eb8f42443598a92bbb49211

1fb1623f

Diff

@@ -58,7 +58,7 @@ variable {C : Type _} [Category C] [Preadditive C]
 def n₁ : SimplicialObject C ⥤ Karoubi (ChainComplex C ℕ)
     where
   obj X :=
-    { x := AlternatingFaceMapComplex.obj X
+    { pt := AlternatingFaceMapComplex.obj X
       p := pInfty
       idem := pInfty_idem }
   map X Y f :=

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

refactor(CategoryTheory/Idempotents): replacing equalities of functors by isomorphisms (#8562)

In the context of idempotent completion of categories and the Dold-Kan equivalence, constructing some isomorphisms was very slow in Lean 3 but has been much faster in Lean 4, while using equalities of functors in Lean 3 was fast, but in Lean 4 it became very slow. In this PR, we switch to using mostly isomorphisms of functors: this also became necessary in order to make the refactor #8531 possible.

afb00b05

Diff

@@ -63,9 +63,17 @@ def N₂ : Karoubi (SimplicialObject C) ⥤ Karoubi (ChainComplex C ℕ) :=
 set_option linter.uppercaseLean3 false in
 #align algebraic_topology.dold_kan.N₂ AlgebraicTopology.DoldKan.N₂
 
--- porting note: added to ease the port of `AlgebraicTopology.DoldKan.NCompGamma`
-lemma compatibility_N₁_N₂ : toKaroubi (SimplicialObject C) ⋙ N₂ = N₁ :=
-  Functor.congr_obj (functorExtension₁_comp_whiskeringLeft_toKaroubi _ _) N₁
+/-- The canonical isomorphism `toKaroubi (SimplicialObject C) ⋙ N₂ ≅ N₁`. -/
+def toKaroubiCompN₂IsoN₁ : toKaroubi (SimplicialObject C) ⋙ N₂ ≅ N₁ :=
+  (functorExtension₁CompWhiskeringLeftToKaroubiIso _ _).app N₁
+
+@[simp]
+lemma toKaroubiCompN₂IsoN₁_hom_app (X : SimplicialObject C) :
+    (toKaroubiCompN₂IsoN₁.hom.app X).f = PInfty := rfl
+
+@[simp]
+lemma toKaroubiCompN₂IsoN₁_inv_app (X : SimplicialObject C) :
+    (toKaroubiCompN₂IsoN₁.inv.app X).f = PInfty := rfl
 
 end DoldKan

chore: fix SHA for Dold-Kan equivalence files (#6834)

cf01bdac

Diff

@@ -5,7 +5,7 @@ Authors: Joël Riou
 -/
 import Mathlib.AlgebraicTopology.DoldKan.PInfty
 
-#align_import algebraic_topology.dold_kan.functor_n from "leanprover-community/mathlib"@"1995c7bbdbb0adb1b6d5acdc654f6cf46ed96cfa"
+#align_import algebraic_topology.dold_kan.functor_n from "leanprover-community/mathlib"@"32a7e535287f9c73f2e4d2aef306a39190f0b504"
 
 /-!

feat: forward port of Mathlib.AlgebraicTopology.DoldKan.Equivalence (#6444)

In this PR (which is a forward port of https://github.com/leanprover-community/mathlib/pull/17926), the Dold-Kan equivalence between simplicial objects and chain complexes in abelian categories is constructed.

Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>

c532d7b8

Diff

@@ -28,7 +28,7 @@ defined in `EquivalencePseudoabelian.lean`.
 When the category `C` is abelian, a relation between `N₁` and the
 normalized Moore complex functor shall be obtained in `Normalized.lean`.
 
-(See `Equivalence.lean` for the general strategy of proof.)
+(See `Equivalence.lean` for the general strategy of proof of the Dold-Kan equivalence.)
 
 -/

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

@@ -41,7 +41,7 @@ namespace AlgebraicTopology
 
 namespace DoldKan
 
-variable {C : Type _} [Category C] [Preadditive C]
+variable {C : Type*} [Category C] [Preadditive C]
 
 /-- The functor `SimplicialObject C ⥤ Karoubi (ChainComplex C ℕ)` which maps
 `X` to the formal direct factor of `K[X]` defined by `PInfty`. -/

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.functor_n
-! leanprover-community/mathlib commit 1995c7bbdbb0adb1b6d5acdc654f6cf46ed96cfa
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.AlgebraicTopology.DoldKan.PInfty
 
+#align_import algebraic_topology.dold_kan.functor_n from "leanprover-community/mathlib"@"1995c7bbdbb0adb1b6d5acdc654f6cf46ed96cfa"
+
 /-!
 
 # Construction of functors N for the Dold-Kan correspondence

chore: review of automation in category theory (#4793)

Clean up of automation in the category theory library. Leaving out unnecessary proof steps, or fields done by aesop_cat, and making more use of available autoparameters.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au>

5b958613

Diff

@@ -55,8 +55,7 @@ def N₁ : SimplicialObject C ⥤ Karoubi (ChainComplex C ℕ) where
       p := PInfty
       idem := PInfty_idem }
   map f :=
-    { f := PInfty ≫ AlternatingFaceMapComplex.map f
-      comm := by aesop_cat }
+    { f := PInfty ≫ AlternatingFaceMapComplex.map f }
 set_option linter.uppercaseLean3 false in
 #align algebraic_topology.dold_kan.N₁ AlgebraicTopology.DoldKan.N₁

feat: port AlgebraicTopology.DoldKan.NCompGamma (#3576)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

5b418785

Diff

@@ -67,6 +67,10 @@ def N₂ : Karoubi (SimplicialObject C) ⥤ Karoubi (ChainComplex C ℕ) :=
 set_option linter.uppercaseLean3 false in
 #align algebraic_topology.dold_kan.N₂ AlgebraicTopology.DoldKan.N₂
 
+-- porting note: added to ease the port of `AlgebraicTopology.DoldKan.NCompGamma`
+lemma compatibility_N₁_N₂ : toKaroubi (SimplicialObject C) ⋙ N₂ = N₁ :=
+  Functor.congr_obj (functorExtension₁_comp_whiskeringLeft_toKaroubi _ _) N₁
+
 end DoldKan
 
 end AlgebraicTopology