algebra.homology.homotopy_category | Mathlib porting status

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

13ff898b

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

9d2f0748

bump to nightly-2023-10-29-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/3365b20c2ffa7c35e47e5209b89ba9abdddf3ffe

abdd1870

Diff

@@ -160,42 +160,42 @@ def homotopyEquivOfIso {C D : HomologicalComplex V c}
 
 variable (V c) [HasEqualizers V] [HasImages V] [HasImageMaps V] [HasCokernels V]
 
-#print HomotopyCategory.homologyFunctor /-
+#print HomotopyCategory.homology'Functor /-
 /-- The `i`-th homology, as a functor from the homotopy category. -/
-def homologyFunctor (i : ι) : HomotopyCategory V c ⥤ V :=
-  CategoryTheory.Quotient.lift _ (homologyFunctor V c i) fun C D f g ⟨h⟩ =>
-    homology_map_eq_of_homotopy h i
-#align homotopy_category.homology_functor HomotopyCategory.homologyFunctor
+def homology'Functor (i : ι) : HomotopyCategory V c ⥤ V :=
+  CategoryTheory.Quotient.lift _ (homology'Functor V c i) fun C D f g ⟨h⟩ =>
+    homology'_map_eq_of_homotopy h i
+#align homotopy_category.homology_functor HomotopyCategory.homology'Functor
 -/
 
-#print HomotopyCategory.homologyFactors /-
+#print HomotopyCategory.homology'Factors /-
 /-- The homology functor on the homotopy category is just the usual homology functor. -/
-def homologyFactors (i : ι) : quotient V c ⋙ homologyFunctor V c i ≅ homologyFunctor V c i :=
+def homology'Factors (i : ι) : quotient V c ⋙ homology'Functor V c i ≅ homology'Functor V c i :=
   CategoryTheory.Quotient.lift.isLift _ _ _
-#align homotopy_category.homology_factors HomotopyCategory.homologyFactors
+#align homotopy_category.homology_factors HomotopyCategory.homology'Factors
 -/
 
-#print HomotopyCategory.homologyFactors_hom_app /-
+#print HomotopyCategory.homology'Factors_hom_app /-
 @[simp]
-theorem homologyFactors_hom_app (i : ι) (C : HomologicalComplex V c) :
-    (homologyFactors V c i).Hom.app C = 𝟙 _ :=
+theorem homology'Factors_hom_app (i : ι) (C : HomologicalComplex V c) :
+    (homology'Factors V c i).Hom.app C = 𝟙 _ :=
   rfl
-#align homotopy_category.homology_factors_hom_app HomotopyCategory.homologyFactors_hom_app
+#align homotopy_category.homology_factors_hom_app HomotopyCategory.homology'Factors_hom_app
 -/
 
-#print HomotopyCategory.homologyFactors_inv_app /-
+#print HomotopyCategory.homology'Factors_inv_app /-
 @[simp]
-theorem homologyFactors_inv_app (i : ι) (C : HomologicalComplex V c) :
-    (homologyFactors V c i).inv.app C = 𝟙 _ :=
+theorem homology'Factors_inv_app (i : ι) (C : HomologicalComplex V c) :
+    (homology'Factors V c i).inv.app C = 𝟙 _ :=
   rfl
-#align homotopy_category.homology_factors_inv_app HomotopyCategory.homologyFactors_inv_app
+#align homotopy_category.homology_factors_inv_app HomotopyCategory.homology'Factors_inv_app
 -/
 
-#print HomotopyCategory.homologyFunctor_map_factors /-
-theorem homologyFunctor_map_factors (i : ι) {C D : HomologicalComplex V c} (f : C ⟶ D) :
-    (homologyFunctor V c i).map f = ((homologyFunctor V c i).map ((quotient V c).map f) : _) :=
-  (CategoryTheory.Quotient.lift_map_functor_map _ (homologyFunctor V c i) _ f).symm
-#align homotopy_category.homology_functor_map_factors HomotopyCategory.homologyFunctor_map_factors
+#print HomotopyCategory.homology'Functor_map_factors /-
+theorem homology'Functor_map_factors (i : ι) {C D : HomologicalComplex V c} (f : C ⟶ D) :
+    (homology'Functor V c i).map f = ((homology'Functor V c i).map ((quotient V c).map f) : _) :=
+  (CategoryTheory.Quotient.lift_map_functor_map _ (homology'Functor V c i) _ f).symm
+#align homotopy_category.homology_functor_map_factors HomotopyCategory.homology'Functor_map_factors
 -/
 
 end HomotopyCategory

9d2f0748

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,8 +3,8 @@ 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.Homotopy
-import Mathbin.CategoryTheory.Quotient
+import Algebra.Homology.Homotopy
+import CategoryTheory.Quotient
 
 #align_import algebra.homology.homotopy_category 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

@@ -2,15 +2,12 @@
 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 algebra.homology.homotopy_category
-! 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.Algebra.Homology.Homotopy
 import Mathbin.CategoryTheory.Quotient
 
+#align_import algebra.homology.homotopy_category from "leanprover-community/mathlib"@"9d2f0748e6c50d7a2657c564b1ff2c695b39148d"
+
 /-!
 # The homotopy category

9d2f0748

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -82,27 +82,36 @@ instance [HasZeroObject V] : Inhabited (HomotopyCategory V c) :=
 
 variable {V c}
 
+#print HomotopyCategory.quotient_obj_as /-
 @[simp]
 theorem quotient_obj_as (C : HomologicalComplex V c) : ((quotient V c).obj C).as = C :=
   rfl
 #align homotopy_category.quotient_obj_as HomotopyCategory.quotient_obj_as
+-/
 
+#print HomotopyCategory.quotient_map_out /-
 @[simp]
 theorem quotient_map_out {C D : HomotopyCategory V c} (f : C ⟶ D) : (quotient V c).map f.out = f :=
   Quot.out_eq _
 #align homotopy_category.quotient_map_out HomotopyCategory.quotient_map_out
+-/
 
+#print HomotopyCategory.eq_of_homotopy /-
 theorem eq_of_homotopy {C D : HomologicalComplex V c} (f g : C ⟶ D) (h : Homotopy f g) :
     (quotient V c).map f = (quotient V c).map g :=
   CategoryTheory.Quotient.sound _ ⟨h⟩
 #align homotopy_category.eq_of_homotopy HomotopyCategory.eq_of_homotopy
+-/
 
+#print HomotopyCategory.homotopyOfEq /-
 /-- If two chain maps become equal in the homotopy category, then they are homotopic. -/
 def homotopyOfEq {C D : HomologicalComplex V c} (f g : C ⟶ D)
     (w : (quotient V c).map f = (quotient V c).map g) : Homotopy f g :=
   ((Quotient.functor_map_eq_iff _ _ _).mp w).some
 #align homotopy_category.homotopy_of_eq HomotopyCategory.homotopyOfEq
+-/
 
+#print HomotopyCategory.homotopyOutMap /-
 /-- An arbitrarily chosen representation of the image of a chain map in the homotopy category
 is homotopic to the original chain map.
 -/
@@ -112,13 +121,17 @@ def homotopyOutMap {C D : HomologicalComplex V c} (f : C ⟶ D) :
   apply homotopy_of_eq
   simp
 #align homotopy_category.homotopy_out_map HomotopyCategory.homotopyOutMap
+-/
 
+#print HomotopyCategory.quotient_map_out_comp_out /-
 @[simp]
 theorem quotient_map_out_comp_out {C D E : HomotopyCategory V c} (f : C ⟶ D) (g : D ⟶ E) :
     (quotient V c).map (Quot.out f ≫ Quot.out g) = f ≫ g := by
   conv_rhs => erw [← quotient_map_out f, ← quotient_map_out g, ← (Quotient V c).map_comp]
 #align homotopy_category.quotient_map_out_comp_out HomotopyCategory.quotient_map_out_comp_out
+-/
 
+#print HomotopyCategory.isoOfHomotopyEquiv /-
 /-- Homotopy equivalent complexes become isomorphic in the homotopy category. -/
 @[simps]
 def isoOfHomotopyEquiv {C D : HomologicalComplex V c} (f : HomotopyEquiv C D) :
@@ -133,7 +146,9 @@ def isoOfHomotopyEquiv {C D : HomologicalComplex V c} (f : HomotopyEquiv C D) :
     rw [← (Quotient V c).map_comp, ← (Quotient V c).map_id]
     exact eq_of_homotopy _ _ f.homotopy_inv_hom_id
 #align homotopy_category.iso_of_homotopy_equiv HomotopyCategory.isoOfHomotopyEquiv
+-/
 
+#print HomotopyCategory.homotopyEquivOfIso /-
 /-- If two complexes become isomorphic in the homotopy category,
   then they were homotopy equivalent. -/
 def homotopyEquivOfIso {C D : HomologicalComplex V c}
@@ -144,6 +159,7 @@ def homotopyEquivOfIso {C D : HomologicalComplex V c}
   homotopyHomInvId := homotopyOfEq _ _ (by simp; rfl)
   homotopyInvHomId := homotopyOfEq _ _ (by simp; rfl)
 #align homotopy_category.homotopy_equiv_of_iso HomotopyCategory.homotopyEquivOfIso
+-/
 
 variable (V c) [HasEqualizers V] [HasImages V] [HasImageMaps V] [HasCokernels V]
 
@@ -162,22 +178,28 @@ def homologyFactors (i : ι) : quotient V c ⋙ homologyFunctor V c i ≅ homolo
 #align homotopy_category.homology_factors HomotopyCategory.homologyFactors
 -/
 
+#print HomotopyCategory.homologyFactors_hom_app /-
 @[simp]
 theorem homologyFactors_hom_app (i : ι) (C : HomologicalComplex V c) :
     (homologyFactors V c i).Hom.app C = 𝟙 _ :=
   rfl
 #align homotopy_category.homology_factors_hom_app HomotopyCategory.homologyFactors_hom_app
+-/
 
+#print HomotopyCategory.homologyFactors_inv_app /-
 @[simp]
 theorem homologyFactors_inv_app (i : ι) (C : HomologicalComplex V c) :
     (homologyFactors V c i).inv.app C = 𝟙 _ :=
   rfl
 #align homotopy_category.homology_factors_inv_app HomotopyCategory.homologyFactors_inv_app
+-/
 
+#print HomotopyCategory.homologyFunctor_map_factors /-
 theorem homologyFunctor_map_factors (i : ι) {C D : HomologicalComplex V c} (f : C ⟶ D) :
     (homologyFunctor V c i).map f = ((homologyFunctor V c i).map ((quotient V c).map f) : _) :=
   (CategoryTheory.Quotient.lift_map_functor_map _ (homologyFunctor V c i) _ f).symm
 #align homotopy_category.homology_functor_map_factors HomotopyCategory.homologyFunctor_map_factors
+-/
 
 end HomotopyCategory
 
@@ -185,6 +207,7 @@ namespace CategoryTheory
 
 variable {V} {W : Type _} [Category W] [Preadditive W]
 
+#print CategoryTheory.Functor.mapHomotopyCategory /-
 /-- An additive functor induces a functor between homotopy categories. -/
 @[simps]
 def Functor.mapHomotopyCategory (c : ComplexShape ι) (F : V ⥤ W) [F.Additive] :
@@ -208,7 +231,9 @@ def Functor.mapHomotopyCategory (c : ComplexShape ι) (F : V ⥤ W) [F.Additive]
     convert Quot.out_eq _
     exact HomotopyCategory.quotient_map_out_comp_out _ _
 #align category_theory.functor.map_homotopy_category CategoryTheory.Functor.mapHomotopyCategory
+-/
 
+#print CategoryTheory.NatTrans.mapHomotopyCategory /-
 -- TODO `F.map_homotopy_category c` is additive (and linear when `F` is linear).
 /-- A natural transformation induces a natural transformation between
   the induced functors on the homotopy category. -/
@@ -225,12 +250,16 @@ def NatTrans.mapHomotopyCategory {F G : V ⥤ W} [F.Additive] [G.Additive] (α :
     dsimp
     simp
 #align category_theory.nat_trans.map_homotopy_category CategoryTheory.NatTrans.mapHomotopyCategory
+-/
 
+#print CategoryTheory.NatTrans.mapHomotopyCategory_id /-
 @[simp]
 theorem NatTrans.mapHomotopyCategory_id (c : ComplexShape ι) (F : V ⥤ W) [F.Additive] :
     NatTrans.mapHomotopyCategory (𝟙 F) c = 𝟙 (F.mapHomotopyCategory c) := by tidy
 #align category_theory.nat_trans.map_homotopy_category_id CategoryTheory.NatTrans.mapHomotopyCategory_id
+-/
 
+#print CategoryTheory.NatTrans.mapHomotopyCategory_comp /-
 @[simp]
 theorem NatTrans.mapHomotopyCategory_comp (c : ComplexShape ι) {F G H : V ⥤ W} [F.Additive]
     [G.Additive] [H.Additive] (α : F ⟶ G) (β : G ⟶ H) :
@@ -238,6 +267,7 @@ theorem NatTrans.mapHomotopyCategory_comp (c : ComplexShape ι) {F G H : V ⥤ W
       NatTrans.mapHomotopyCategory α c ≫ NatTrans.mapHomotopyCategory β c :=
   by tidy
 #align category_theory.nat_trans.map_homotopy_category_comp CategoryTheory.NatTrans.mapHomotopyCategory_comp
+-/
 
 end CategoryTheory

9d2f0748

bump to nightly-2023-06-01-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb

b9c87c70

Diff

@@ -59,7 +59,8 @@ instance homotopy_congruence : Congruence (homotopic V c)
 /-- `homotopy_category V c` is the category of chain complexes of shape `c` in `V`,
 with chain maps identified when they are homotopic. -/
 def HomotopyCategory :=
-  CategoryTheory.Quotient (homotopic V c)deriving Category
+  CategoryTheory.Quotient (homotopic V c)
+deriving Category
 #align homotopy_category HomotopyCategory
 -/

9d2f0748

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -24,7 +24,7 @@ with chain maps identified when they are homotopic.
 
 universe v u
 
-open Classical
+open scoped Classical
 
 noncomputable section
 
@@ -73,7 +73,7 @@ def quotient : HomologicalComplex V c ⥤ HomotopyCategory V c :=
 #align homotopy_category.quotient HomotopyCategory.quotient
 -/
 
-open ZeroObject
+open scoped ZeroObject
 
 -- TODO upgrade this to `has_zero_object`, presumably for any `quotient`.
 instance [HasZeroObject V] : Inhabited (HomotopyCategory V c) :=

9d2f0748

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -81,45 +81,27 @@ instance [HasZeroObject V] : Inhabited (HomotopyCategory V c) :=
 
 variable {V c}
 
-/- warning: homotopy_category.quotient_obj_as -> HomotopyCategory.quotient_obj_as is a dubious translation:
-lean 3 declaration is
-  forall {ι : Type.{u3}} {V : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} V] [_inst_2 : CategoryTheory.Preadditive.{u1, u2} V _inst_1] {c : ComplexShape.{u3} ι} (C : HomologicalComplex.{u1, u2, u3} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} V _inst_1 _inst_2) c), Eq.{max (succ u2) (succ u3) (succ u1)} (HomologicalComplex.{u1, u2, u3} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} V _inst_1 _inst_2) c) (CategoryTheory.Quotient.as.{max u2 u3 u1, max u3 u1} (HomologicalComplex.{u1, u2, u3} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} V _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u1, u2, u3} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} V _inst_1 _inst_2) c) (homotopic.{u1, u2, u3} ι V _inst_1 _inst_2 c) (CategoryTheory.Functor.obj.{max u3 u1, max u3 u1, max u2 u3 u1, max u2 u3 u1} (HomologicalComplex.{u1, u2, u3} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} V _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u1, u2, u3} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} V _inst_1 _inst_2) c) (HomotopyCategory.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomotopyCategory.category.{u1, u3, u2} ι V _inst_1 _inst_2 c) (HomotopyCategory.quotient.{u1, u2, u3} ι V _inst_1 _inst_2 c) C)) C
-but is expected to have type
-  forall {ι : Type.{u1}} {V : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u3} V] [_inst_2 : CategoryTheory.Preadditive.{u2, u3} V _inst_1] {c : ComplexShape.{u1} ι} (C : HomologicalComplex.{u2, u3, u1} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u3} V _inst_1 _inst_2) c), Eq.{max (max (succ u3) (succ u2)) (succ u1)} (HomologicalComplex.{u2, u3, u1} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u3} V _inst_1 _inst_2) c) (CategoryTheory.Quotient.as.{max (max u3 u2) u1, max u2 u1} (HomologicalComplex.{u2, u3, u1} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u3} V _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u3, u1} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u3} V _inst_1 _inst_2) c) (homotopic.{u2, u3, u1} ι V _inst_1 _inst_2 c) (Prefunctor.obj.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (max u3 u2) u1, max (max u3 u2) u1} (HomologicalComplex.{u2, u3, u1} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u3} V _inst_1 _inst_2) c) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max (max u3 u2) u1} (HomologicalComplex.{u2, u3, u1} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u3} V _inst_1 _inst_2) c) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max (max u3 u2) u1} (HomologicalComplex.{u2, u3, u1} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u3} V _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u3, u1} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u3} V _inst_1 _inst_2) c))) (HomotopyCategory.{u2, u3, u1} ι V _inst_1 _inst_2 c) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max (max u3 u2) u1} (HomotopyCategory.{u2, u3, u1} ι V _inst_1 _inst_2 c) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max (max u3 u2) u1} (HomotopyCategory.{u2, u3, u1} ι V _inst_1 _inst_2 c) (instCategoryHomotopyCategory.{u2, u3, u1} V _inst_1 _inst_2 ι c))) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, max u2 u1, max (max u3 u2) u1, max (max u3 u2) u1} (HomologicalComplex.{u2, u3, u1} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u3} V _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u3, u1} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u3} V _inst_1 _inst_2) c) (HomotopyCategory.{u2, u3, u1} ι V _inst_1 _inst_2 c) (instCategoryHomotopyCategory.{u2, u3, u1} V _inst_1 _inst_2 ι c) (HomotopyCategory.quotient.{u2, u3, u1} ι V _inst_1 _inst_2 c)) C)) C
-Case conversion may be inaccurate. Consider using '#align homotopy_category.quotient_obj_as HomotopyCategory.quotient_obj_asₓ'. -/
 @[simp]
 theorem quotient_obj_as (C : HomologicalComplex V c) : ((quotient V c).obj C).as = C :=
   rfl
 #align homotopy_category.quotient_obj_as HomotopyCategory.quotient_obj_as
 
-/- warning: homotopy_category.quotient_map_out -> HomotopyCategory.quotient_map_out is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align homotopy_category.quotient_map_out HomotopyCategory.quotient_map_outₓ'. -/
 @[simp]
 theorem quotient_map_out {C D : HomotopyCategory V c} (f : C ⟶ D) : (quotient V c).map f.out = f :=
   Quot.out_eq _
 #align homotopy_category.quotient_map_out HomotopyCategory.quotient_map_out
 
-/- warning: homotopy_category.eq_of_homotopy -> HomotopyCategory.eq_of_homotopy is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align homotopy_category.eq_of_homotopy HomotopyCategory.eq_of_homotopyₓ'. -/
 theorem eq_of_homotopy {C D : HomologicalComplex V c} (f g : C ⟶ D) (h : Homotopy f g) :
     (quotient V c).map f = (quotient V c).map g :=
   CategoryTheory.Quotient.sound _ ⟨h⟩
 #align homotopy_category.eq_of_homotopy HomotopyCategory.eq_of_homotopy
 
-/- warning: homotopy_category.homotopy_of_eq -> HomotopyCategory.homotopyOfEq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align homotopy_category.homotopy_of_eq HomotopyCategory.homotopyOfEqₓ'. -/
 /-- If two chain maps become equal in the homotopy category, then they are homotopic. -/
 def homotopyOfEq {C D : HomologicalComplex V c} (f g : C ⟶ D)
     (w : (quotient V c).map f = (quotient V c).map g) : Homotopy f g :=
   ((Quotient.functor_map_eq_iff _ _ _).mp w).some
 #align homotopy_category.homotopy_of_eq HomotopyCategory.homotopyOfEq
 
-/- warning: homotopy_category.homotopy_out_map -> HomotopyCategory.homotopyOutMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align homotopy_category.homotopy_out_map HomotopyCategory.homotopyOutMapₓ'. -/
 /-- An arbitrarily chosen representation of the image of a chain map in the homotopy category
 is homotopic to the original chain map.
 -/
@@ -130,21 +112,12 @@ def homotopyOutMap {C D : HomologicalComplex V c} (f : C ⟶ D) :
   simp
 #align homotopy_category.homotopy_out_map HomotopyCategory.homotopyOutMap
 
-/- warning: homotopy_category.quotient_map_out_comp_out -> HomotopyCategory.quotient_map_out_comp_out is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align homotopy_category.quotient_map_out_comp_out HomotopyCategory.quotient_map_out_comp_outₓ'. -/
 @[simp]
 theorem quotient_map_out_comp_out {C D E : HomotopyCategory V c} (f : C ⟶ D) (g : D ⟶ E) :
     (quotient V c).map (Quot.out f ≫ Quot.out g) = f ≫ g := by
   conv_rhs => erw [← quotient_map_out f, ← quotient_map_out g, ← (Quotient V c).map_comp]
 #align homotopy_category.quotient_map_out_comp_out HomotopyCategory.quotient_map_out_comp_out
 
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 /-- Homotopy equivalent complexes become isomorphic in the homotopy category. -/
 @[simps]
 def isoOfHomotopyEquiv {C D : HomologicalComplex V c} (f : HomotopyEquiv C D) :
@@ -160,12 +133,6 @@ def isoOfHomotopyEquiv {C D : HomologicalComplex V c} (f : HomotopyEquiv C D) :
     exact eq_of_homotopy _ _ f.homotopy_inv_hom_id
 #align homotopy_category.iso_of_homotopy_equiv HomotopyCategory.isoOfHomotopyEquiv
 
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 /-- If two complexes become isomorphic in the homotopy category,
   then they were homotopy equivalent. -/
 def homotopyEquivOfIso {C D : HomologicalComplex V c}
@@ -194,27 +161,18 @@ def homologyFactors (i : ι) : quotient V c ⋙ homologyFunctor V c i ≅ homolo
 #align homotopy_category.homology_factors HomotopyCategory.homologyFactors
 -/
 
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 @[simp]
 theorem homologyFactors_hom_app (i : ι) (C : HomologicalComplex V c) :
     (homologyFactors V c i).Hom.app C = 𝟙 _ :=
   rfl
 #align homotopy_category.homology_factors_hom_app HomotopyCategory.homologyFactors_hom_app
 
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 @[simp]
 theorem homologyFactors_inv_app (i : ι) (C : HomologicalComplex V c) :
     (homologyFactors V c i).inv.app C = 𝟙 _ :=
   rfl
 #align homotopy_category.homology_factors_inv_app HomotopyCategory.homologyFactors_inv_app
 
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 theorem homologyFunctor_map_factors (i : ι) {C D : HomologicalComplex V c} (f : C ⟶ D) :
     (homologyFunctor V c i).map f = ((homologyFunctor V c i).map ((quotient V c).map f) : _) :=
   (CategoryTheory.Quotient.lift_map_functor_map _ (homologyFunctor V c i) _ f).symm
@@ -226,12 +184,6 @@ namespace CategoryTheory
 
 variable {V} {W : Type _} [Category W] [Preadditive W]
 
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 /-- An additive functor induces a functor between homotopy categories. -/
 @[simps]
 def Functor.mapHomotopyCategory (c : ComplexShape ι) (F : V ⥤ W) [F.Additive] :
@@ -256,12 +208,6 @@ def Functor.mapHomotopyCategory (c : ComplexShape ι) (F : V ⥤ W) [F.Additive]
     exact HomotopyCategory.quotient_map_out_comp_out _ _
 #align category_theory.functor.map_homotopy_category CategoryTheory.Functor.mapHomotopyCategory
 
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 -- TODO `F.map_homotopy_category c` is additive (and linear when `F` is linear).
 /-- A natural transformation induces a natural transformation between
   the induced functors on the homotopy category. -/
@@ -279,20 +225,11 @@ def NatTrans.mapHomotopyCategory {F G : V ⥤ W} [F.Additive] [G.Additive] (α :
     simp
 #align category_theory.nat_trans.map_homotopy_category CategoryTheory.NatTrans.mapHomotopyCategory
 
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 @[simp]
 theorem NatTrans.mapHomotopyCategory_id (c : ComplexShape ι) (F : V ⥤ W) [F.Additive] :
     NatTrans.mapHomotopyCategory (𝟙 F) c = 𝟙 (F.mapHomotopyCategory c) := by tidy
 #align category_theory.nat_trans.map_homotopy_category_id CategoryTheory.NatTrans.mapHomotopyCategory_id
 
-/- warning: category_theory.nat_trans.map_homotopy_category_comp -> CategoryTheory.NatTrans.mapHomotopyCategory_comp is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.nat_trans.map_homotopy_category_comp CategoryTheory.NatTrans.mapHomotopyCategory_compₓ'. -/
 @[simp]
 theorem NatTrans.mapHomotopyCategory_comp (c : ComplexShape ι) {F G H : V ⥤ W} [F.Additive]
     [G.Additive] [H.Additive] (α : F ⟶ G) (β : G ⟶ H) :

9d2f0748

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -173,16 +173,8 @@ def homotopyEquivOfIso {C D : HomologicalComplex V c}
     where
   Hom := Quot.out i.Hom
   inv := Quot.out i.inv
-  homotopyHomInvId :=
-    homotopyOfEq _ _
-      (by
-        simp
-        rfl)
-  homotopyInvHomId :=
-    homotopyOfEq _ _
-      (by
-        simp
-        rfl)
+  homotopyHomInvId := homotopyOfEq _ _ (by simp; rfl)
+  homotopyInvHomId := homotopyOfEq _ _ (by simp; rfl)
 #align homotopy_category.homotopy_equiv_of_iso HomotopyCategory.homotopyEquivOfIso
 
 variable (V c) [HasEqualizers V] [HasImages V] [HasImageMaps V] [HasCokernels V]

9d2f0748

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -93,10 +93,7 @@ theorem quotient_obj_as (C : HomologicalComplex V c) : ((quotient V c).obj C).as
 #align homotopy_category.quotient_obj_as HomotopyCategory.quotient_obj_as
 
 /- warning: homotopy_category.quotient_map_out -> HomotopyCategory.quotient_map_out is a dubious translation:
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u1} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u3} V _inst_1 _inst_2) c) (homotopic.{u2, u3, u1} ι V _inst_1 _inst_2 c) D)) f)) f
+<too large>
 Case conversion may be inaccurate. Consider using '#align homotopy_category.quotient_map_out HomotopyCategory.quotient_map_outₓ'. -/
 @[simp]
 theorem quotient_map_out {C D : HomotopyCategory V c} (f : C ⟶ D) : (quotient V c).map f.out = f :=
@@ -104,10 +101,7 @@ theorem quotient_map_out {C D : HomotopyCategory V c} (f : C ⟶ D) : (quotient
 #align homotopy_category.quotient_map_out HomotopyCategory.quotient_map_out
 
 /- warning: homotopy_category.eq_of_homotopy -> HomotopyCategory.eq_of_homotopy is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align homotopy_category.eq_of_homotopy HomotopyCategory.eq_of_homotopyₓ'. -/
 theorem eq_of_homotopy {C D : HomologicalComplex V c} (f g : C ⟶ D) (h : Homotopy f g) :
     (quotient V c).map f = (quotient V c).map g :=
@@ -115,10 +109,7 @@ theorem eq_of_homotopy {C D : HomologicalComplex V c} (f g : C ⟶ D) (h : Homot
 #align homotopy_category.eq_of_homotopy HomotopyCategory.eq_of_homotopy
 
 /- warning: homotopy_category.homotopy_of_eq -> HomotopyCategory.homotopyOfEq is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align homotopy_category.homotopy_of_eq HomotopyCategory.homotopyOfEqₓ'. -/
 /-- If two chain maps become equal in the homotopy category, then they are homotopic. -/
 def homotopyOfEq {C D : HomologicalComplex V c} (f g : C ⟶ D)
@@ -127,10 +118,7 @@ def homotopyOfEq {C D : HomologicalComplex V c} (f g : C ⟶ D)
 #align homotopy_category.homotopy_of_eq HomotopyCategory.homotopyOfEq
 
 /- warning: homotopy_category.homotopy_out_map -> HomotopyCategory.homotopyOutMap is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align homotopy_category.homotopy_out_map HomotopyCategory.homotopyOutMapₓ'. -/
 /-- An arbitrarily chosen representation of the image of a chain map in the homotopy category
 is homotopic to the original chain map.
@@ -143,10 +131,7 @@ def homotopyOutMap {C D : HomologicalComplex V c} (f : C ⟶ D) :
 #align homotopy_category.homotopy_out_map HomotopyCategory.homotopyOutMap
 
 /- warning: homotopy_category.quotient_map_out_comp_out -> HomotopyCategory.quotient_map_out_comp_out is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align homotopy_category.quotient_map_out_comp_out HomotopyCategory.quotient_map_out_comp_outₓ'. -/
 @[simp]
 theorem quotient_map_out_comp_out {C D E : HomotopyCategory V c} (f : C ⟶ D) (g : D ⟶ E) :
@@ -218,10 +203,7 @@ def homologyFactors (i : ι) : quotient V c ⋙ homologyFunctor V c i ≅ homolo
 -/
 
 /- warning: homotopy_category.homology_factors_hom_app -> HomotopyCategory.homologyFactors_hom_app is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align homotopy_category.homology_factors_hom_app HomotopyCategory.homologyFactors_hom_appₓ'. -/
 @[simp]
 theorem homologyFactors_hom_app (i : ι) (C : HomologicalComplex V c) :
@@ -230,10 +212,7 @@ theorem homologyFactors_hom_app (i : ι) (C : HomologicalComplex V c) :
 #align homotopy_category.homology_factors_hom_app HomotopyCategory.homologyFactors_hom_app
 
 /- warning: homotopy_category.homology_factors_inv_app -> HomotopyCategory.homologyFactors_inv_app is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align homotopy_category.homology_factors_inv_app HomotopyCategory.homologyFactors_inv_appₓ'. -/
 @[simp]
 theorem homologyFactors_inv_app (i : ι) (C : HomologicalComplex V c) :
@@ -242,10 +221,7 @@ theorem homologyFactors_inv_app (i : ι) (C : HomologicalComplex V c) :
 #align homotopy_category.homology_factors_inv_app HomotopyCategory.homologyFactors_inv_app
 
 /- warning: homotopy_category.homology_functor_map_factors -> HomotopyCategory.homologyFunctor_map_factors is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align homotopy_category.homology_functor_map_factors HomotopyCategory.homologyFunctor_map_factorsₓ'. -/
 theorem homologyFunctor_map_factors (i : ι) {C D : HomologicalComplex V c} (f : C ⟶ D) :
     (homologyFunctor V c i).map f = ((homologyFunctor V c i).map ((quotient V c).map f) : _) :=
@@ -323,10 +299,7 @@ theorem NatTrans.mapHomotopyCategory_id (c : ComplexShape ι) (F : V ⥤ W) [F.A
 #align category_theory.nat_trans.map_homotopy_category_id CategoryTheory.NatTrans.mapHomotopyCategory_id
 
 /- warning: category_theory.nat_trans.map_homotopy_category_comp -> CategoryTheory.NatTrans.mapHomotopyCategory_comp is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.nat_trans.map_homotopy_category_comp CategoryTheory.NatTrans.mapHomotopyCategory_compₓ'. -/
 @[simp]
 theorem NatTrans.mapHomotopyCategory_comp (c : ComplexShape ι) {F G H : V ⥤ W} [F.Additive]

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: Scott Morrison
 
 ! This file was ported from Lean 3 source module algebra.homology.homotopy_category
-! leanprover-community/mathlib commit 13ff898b0eee75d3cc75d1c06a491720eaaf911d
+! 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.CategoryTheory.Quotient
 /-!
 # The homotopy category
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 `homotopy_category V c` gives the category of chain complexes of shape `c` in `V`,
 with chain maps identified when they are homotopic.
 -/

13ff898b

bump to nightly-2023-04-24-08

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

1d7f47bc

Diff

@@ -33,11 +33,14 @@ variable (V : Type u) [Category.{v} V] [Preadditive V]
 
 variable (c : ComplexShape ι)
 
+#print homotopic /-
 /-- The congruence on `homological_complex V c` given by the existence of a homotopy.
 -/
 def homotopic : HomRel (HomologicalComplex V c) := fun C D f g => Nonempty (Homotopy f g)
 #align homotopic homotopic
+-/
 
+#print homotopy_congruence /-
 instance homotopy_congruence : Congruence (homotopic V c)
     where
   IsEquiv C D :=
@@ -47,20 +50,25 @@ instance homotopy_congruence : Congruence (homotopic V c)
   compLeft := fun E F G m₁ m₂ g ⟨i⟩ => ⟨i.compLeft _⟩
   compRight := fun E F G f m₁ m₂ ⟨i⟩ => ⟨i.compRight _⟩
 #align homotopy_congruence homotopy_congruence
+-/
 
+#print HomotopyCategory /-
 /-- `homotopy_category V c` is the category of chain complexes of shape `c` in `V`,
 with chain maps identified when they are homotopic. -/
 def HomotopyCategory :=
   CategoryTheory.Quotient (homotopic V c)deriving Category
 #align homotopy_category HomotopyCategory
+-/
 
 -- TODO the homotopy_category is preadditive
 namespace HomotopyCategory
 
+#print HomotopyCategory.quotient /-
 /-- The quotient functor from complexes to the homotopy category. -/
 def quotient : HomologicalComplex V c ⥤ HomotopyCategory V c :=
   CategoryTheory.Quotient.functor _
 #align homotopy_category.quotient HomotopyCategory.quotient
+-/
 
 open ZeroObject
 
@@ -70,27 +78,57 @@ instance [HasZeroObject V] : Inhabited (HomotopyCategory V c) :=
 
 variable {V c}
 
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 @[simp]
 theorem quotient_obj_as (C : HomologicalComplex V c) : ((quotient V c).obj C).as = C :=
   rfl
 #align homotopy_category.quotient_obj_as HomotopyCategory.quotient_obj_as
 
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+Case conversion may be inaccurate. Consider using '#align homotopy_category.quotient_map_out HomotopyCategory.quotient_map_outₓ'. -/
 @[simp]
 theorem quotient_map_out {C D : HomotopyCategory V c} (f : C ⟶ D) : (quotient V c).map f.out = f :=
   Quot.out_eq _
 #align homotopy_category.quotient_map_out HomotopyCategory.quotient_map_out
 
+/- warning: homotopy_category.eq_of_homotopy -> HomotopyCategory.eq_of_homotopy 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 homotopy_category.eq_of_homotopy HomotopyCategory.eq_of_homotopyₓ'. -/
 theorem eq_of_homotopy {C D : HomologicalComplex V c} (f g : C ⟶ D) (h : Homotopy f g) :
     (quotient V c).map f = (quotient V c).map g :=
   CategoryTheory.Quotient.sound _ ⟨h⟩
 #align homotopy_category.eq_of_homotopy HomotopyCategory.eq_of_homotopy
 
+/- warning: homotopy_category.homotopy_of_eq -> HomotopyCategory.homotopyOfEq is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align homotopy_category.homotopy_of_eq HomotopyCategory.homotopyOfEqₓ'. -/
 /-- If two chain maps become equal in the homotopy category, then they are homotopic. -/
 def homotopyOfEq {C D : HomologicalComplex V c} (f g : C ⟶ D)
     (w : (quotient V c).map f = (quotient V c).map g) : Homotopy f g :=
   ((Quotient.functor_map_eq_iff _ _ _).mp w).some
 #align homotopy_category.homotopy_of_eq HomotopyCategory.homotopyOfEq
 
+/- warning: homotopy_category.homotopy_out_map -> HomotopyCategory.homotopyOutMap is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align homotopy_category.homotopy_out_map HomotopyCategory.homotopyOutMapₓ'. -/
 /-- An arbitrarily chosen representation of the image of a chain map in the homotopy category
 is homotopic to the original chain map.
 -/
@@ -101,12 +139,24 @@ def homotopyOutMap {C D : HomologicalComplex V c} (f : C ⟶ D) :
   simp
 #align homotopy_category.homotopy_out_map HomotopyCategory.homotopyOutMap
 
+/- warning: homotopy_category.quotient_map_out_comp_out -> HomotopyCategory.quotient_map_out_comp_out 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 homotopy_category.quotient_map_out_comp_out HomotopyCategory.quotient_map_out_comp_outₓ'. -/
 @[simp]
 theorem quotient_map_out_comp_out {C D E : HomotopyCategory V c} (f : C ⟶ D) (g : D ⟶ E) :
     (quotient V c).map (Quot.out f ≫ Quot.out g) = f ≫ g := by
   conv_rhs => erw [← quotient_map_out f, ← quotient_map_out g, ← (Quotient V c).map_comp]
 #align homotopy_category.quotient_map_out_comp_out HomotopyCategory.quotient_map_out_comp_out
 
+/- warning: homotopy_category.iso_of_homotopy_equiv -> HomotopyCategory.isoOfHomotopyEquiv 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 homotopy_category.iso_of_homotopy_equiv HomotopyCategory.isoOfHomotopyEquivₓ'. -/
 /-- Homotopy equivalent complexes become isomorphic in the homotopy category. -/
 @[simps]
 def isoOfHomotopyEquiv {C D : HomologicalComplex V c} (f : HomotopyEquiv C D) :
@@ -122,6 +172,12 @@ def isoOfHomotopyEquiv {C D : HomologicalComplex V c} (f : HomotopyEquiv C D) :
     exact eq_of_homotopy _ _ f.homotopy_inv_hom_id
 #align homotopy_category.iso_of_homotopy_equiv HomotopyCategory.isoOfHomotopyEquiv
 
+/- warning: homotopy_category.homotopy_equiv_of_iso -> HomotopyCategory.homotopyEquivOfIso is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align homotopy_category.homotopy_equiv_of_iso HomotopyCategory.homotopyEquivOfIsoₓ'. -/
 /-- If two complexes become isomorphic in the homotopy category,
   then they were homotopy equivalent. -/
 def homotopyEquivOfIso {C D : HomologicalComplex V c}
@@ -143,29 +199,51 @@ def homotopyEquivOfIso {C D : HomologicalComplex V c}
 
 variable (V c) [HasEqualizers V] [HasImages V] [HasImageMaps V] [HasCokernels V]
 
+#print HomotopyCategory.homologyFunctor /-
 /-- The `i`-th homology, as a functor from the homotopy category. -/
 def homologyFunctor (i : ι) : HomotopyCategory V c ⥤ V :=
   CategoryTheory.Quotient.lift _ (homologyFunctor V c i) fun C D f g ⟨h⟩ =>
     homology_map_eq_of_homotopy h i
 #align homotopy_category.homology_functor HomotopyCategory.homologyFunctor
+-/
 
+#print HomotopyCategory.homologyFactors /-
 /-- The homology functor on the homotopy category is just the usual homology functor. -/
 def homologyFactors (i : ι) : quotient V c ⋙ homologyFunctor V c i ≅ homologyFunctor V c i :=
   CategoryTheory.Quotient.lift.isLift _ _ _
 #align homotopy_category.homology_factors HomotopyCategory.homologyFactors
+-/
 
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+Case conversion may be inaccurate. Consider using '#align homotopy_category.homology_factors_hom_app HomotopyCategory.homologyFactors_hom_appₓ'. -/
 @[simp]
 theorem homologyFactors_hom_app (i : ι) (C : HomologicalComplex V c) :
     (homologyFactors V c i).Hom.app C = 𝟙 _ :=
   rfl
 #align homotopy_category.homology_factors_hom_app HomotopyCategory.homologyFactors_hom_app
 
+/- warning: homotopy_category.homology_factors_inv_app -> HomotopyCategory.homologyFactors_inv_app is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align homotopy_category.homology_factors_inv_app HomotopyCategory.homologyFactors_inv_appₓ'. -/
 @[simp]
 theorem homologyFactors_inv_app (i : ι) (C : HomologicalComplex V c) :
     (homologyFactors V c i).inv.app C = 𝟙 _ :=
   rfl
 #align homotopy_category.homology_factors_inv_app HomotopyCategory.homologyFactors_inv_app
 
+/- warning: homotopy_category.homology_functor_map_factors -> HomotopyCategory.homologyFunctor_map_factors is a dubious translation:
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(CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u3} V _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u2, u3, u1} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u2, u3} V _inst_1 _inst_2) c) (HomotopyCategory.{u2, u3, u1} ι V _inst_1 _inst_2 c) (instCategoryHomotopyCategory.{u2, u3, u1} V _inst_1 _inst_2 ι c) (HomotopyCategory.quotient.{u2, u3, u1} ι V _inst_1 _inst_2 c)) C D f))
+Case conversion may be inaccurate. Consider using '#align homotopy_category.homology_functor_map_factors HomotopyCategory.homologyFunctor_map_factorsₓ'. -/
 theorem homologyFunctor_map_factors (i : ι) {C D : HomologicalComplex V c} (f : C ⟶ D) :
     (homologyFunctor V c i).map f = ((homologyFunctor V c i).map ((quotient V c).map f) : _) :=
   (CategoryTheory.Quotient.lift_map_functor_map _ (homologyFunctor V c i) _ f).symm
@@ -177,6 +255,12 @@ namespace CategoryTheory
 
 variable {V} {W : Type _} [Category W] [Preadditive W]
 
+/- warning: category_theory.functor.map_homotopy_category -> CategoryTheory.Functor.mapHomotopyCategory is a dubious translation:
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+  forall {ι : Type.{u3}} {V : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} V] [_inst_2 : CategoryTheory.Preadditive.{u1, u2} V _inst_1] {W : Type.{u4}} [_inst_3 : CategoryTheory.Category.{u5, u4} W] [_inst_4 : CategoryTheory.Preadditive.{u5, u4} W _inst_3] (c : ComplexShape.{u3} ι) (F : CategoryTheory.Functor.{u1, u5, u2, u4} V _inst_1 W _inst_3) [_inst_5 : CategoryTheory.Functor.Additive.{u2, u4, u1, u5} V W _inst_1 _inst_3 _inst_2 _inst_4 F], CategoryTheory.Functor.{max u3 u1, max u3 u5, max u2 u3 u1, max u4 u3 u5} (HomotopyCategory.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomotopyCategory.category.{u1, u3, u2} ι V _inst_1 _inst_2 c) (HomotopyCategory.{u5, u4, u3} ι W _inst_3 _inst_4 c) (HomotopyCategory.category.{u5, u3, u4} ι W _inst_3 _inst_4 c)
+but is expected to have type
+  forall {ι : Type.{u3}} {V : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} V] [_inst_2 : CategoryTheory.Preadditive.{u1, u2} V _inst_1] {W : Type.{u4}} [_inst_3 : CategoryTheory.Category.{u5, u4} W] [_inst_4 : CategoryTheory.Preadditive.{u5, u4} W _inst_3] (c : CategoryTheory.Functor.{u1, u5, u2, u4} V _inst_1 W _inst_3) [F : CategoryTheory.Functor.Additive.{u2, u4, u1, u5} V W _inst_1 _inst_3 _inst_2 _inst_4 c] (_inst_5 : ComplexShape.{u3} ι), CategoryTheory.Functor.{max u1 u3, max u3 u5, max (max u3 u2) u1, max (max u3 u4) u5} (HomotopyCategory.{u1, u2, u3} ι V _inst_1 _inst_2 _inst_5) (instCategoryHomotopyCategory.{u1, u2, u3} V _inst_1 _inst_2 ι _inst_5) (HomotopyCategory.{u5, u4, u3} ι W _inst_3 _inst_4 _inst_5) (instCategoryHomotopyCategory.{u5, u4, u3} W _inst_3 _inst_4 ι _inst_5)
+Case conversion may be inaccurate. Consider using '#align category_theory.functor.map_homotopy_category CategoryTheory.Functor.mapHomotopyCategoryₓ'. -/
 /-- An additive functor induces a functor between homotopy categories. -/
 @[simps]
 def Functor.mapHomotopyCategory (c : ComplexShape ι) (F : V ⥤ W) [F.Additive] :
@@ -201,6 +285,12 @@ def Functor.mapHomotopyCategory (c : ComplexShape ι) (F : V ⥤ W) [F.Additive]
     exact HomotopyCategory.quotient_map_out_comp_out _ _
 #align category_theory.functor.map_homotopy_category CategoryTheory.Functor.mapHomotopyCategory
 
+/- warning: category_theory.nat_trans.map_homotopy_category -> CategoryTheory.NatTrans.mapHomotopyCategory is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.nat_trans.map_homotopy_category CategoryTheory.NatTrans.mapHomotopyCategoryₓ'. -/
 -- TODO `F.map_homotopy_category c` is additive (and linear when `F` is linear).
 /-- A natural transformation induces a natural transformation between
   the induced functors on the homotopy category. -/
@@ -218,11 +308,23 @@ def NatTrans.mapHomotopyCategory {F G : V ⥤ W} [F.Additive] [G.Additive] (α :
     simp
 #align category_theory.nat_trans.map_homotopy_category CategoryTheory.NatTrans.mapHomotopyCategory
 
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 @[simp]
 theorem NatTrans.mapHomotopyCategory_id (c : ComplexShape ι) (F : V ⥤ W) [F.Additive] :
     NatTrans.mapHomotopyCategory (𝟙 F) c = 𝟙 (F.mapHomotopyCategory c) := by tidy
 #align category_theory.nat_trans.map_homotopy_category_id CategoryTheory.NatTrans.mapHomotopyCategory_id
 
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+lean 3 declaration is
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u5, u2, u4} V _inst_1 W _inst_3) (CategoryTheory.Category.toCategoryStruct.{max u2 u5, max u1 u5 u2 u4} (CategoryTheory.Functor.{u1, u5, u2, u4} V _inst_1 W _inst_3) (CategoryTheory.Functor.category.{u1, u5, u2, u4} V _inst_1 W _inst_3))) F G) (β : Quiver.Hom.{succ (max u2 u5), max u1 u5 u2 u4} (CategoryTheory.Functor.{u1, u5, u2, u4} V _inst_1 W _inst_3) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u5, max u1 u5 u2 u4} (CategoryTheory.Functor.{u1, u5, u2, u4} V _inst_1 W _inst_3) (CategoryTheory.Category.toCategoryStruct.{max u2 u5, max u1 u5 u2 u4} (CategoryTheory.Functor.{u1, u5, u2, u4} V _inst_1 W _inst_3) (CategoryTheory.Functor.category.{u1, u5, u2, u4} V _inst_1 W _inst_3))) G H), Eq.{succ (max (max u2 u3 u1) u3 u5)} (Quiver.Hom.{succ (max (max u2 u3 u1) u3 u5), max (max u3 u1) (max u3 u5) (max u2 u3 u1) u4 u3 u5} (CategoryTheory.Functor.{max u3 u1, max u3 u5, max u2 u3 u1, max u4 u3 u5} (HomotopyCategory.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomotopyCategory.category.{u1, 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_inst_4 c)) (CategoryTheory.Functor.category.{max u3 u1, max u3 u5, max u2 u3 u1, max u4 u3 u5} (HomotopyCategory.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomotopyCategory.category.{u1, u3, u2} ι V _inst_1 _inst_2 c) (HomotopyCategory.{u5, u4, u3} ι W _inst_3 _inst_4 c) (HomotopyCategory.category.{u5, u3, u4} ι W _inst_3 _inst_4 c)))) (CategoryTheory.Functor.mapHomotopyCategory.{u1, u2, u3, u4, u5} ι V _inst_1 _inst_2 W _inst_3 _inst_4 c F _inst_5) (CategoryTheory.Functor.mapHomotopyCategory.{u1, u2, u3, u4, u5} ι V _inst_1 _inst_2 W _inst_3 _inst_4 c H _inst_7)) (CategoryTheory.NatTrans.mapHomotopyCategory.{u1, u2, u3, u4, u5} ι V _inst_1 _inst_2 W _inst_3 _inst_4 F H _inst_5 _inst_7 (CategoryTheory.CategoryStruct.comp.{max u2 u5, max u1 u5 u2 u4} (CategoryTheory.Functor.{u1, u5, u2, u4} V _inst_1 W _inst_3) (CategoryTheory.Category.toCategoryStruct.{max u2 u5, max u1 u5 u2 u4} (CategoryTheory.Functor.{u1, u5, u2, u4} V _inst_1 W _inst_3) (CategoryTheory.Functor.category.{u1, u5, u2, u4} V _inst_1 W _inst_3)) F G H α β) c) (CategoryTheory.CategoryStruct.comp.{max (max u2 u3 u1) u3 u5, max (max u3 u1) (max u3 u5) (max u2 u3 u1) u4 u3 u5} (CategoryTheory.Functor.{max u3 u1, max u3 u5, max u2 u3 u1, max u4 u3 u5} (HomotopyCategory.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomotopyCategory.category.{u1, u3, u2} ι V _inst_1 _inst_2 c) (HomotopyCategory.{u5, u4, u3} ι W _inst_3 _inst_4 c) (HomotopyCategory.category.{u5, u3, u4} ι W _inst_3 _inst_4 c)) (CategoryTheory.Category.toCategoryStruct.{max (max u2 u3 u1) u3 u5, max (max u3 u1) (max u3 u5) (max u2 u3 u1) u4 u3 u5} (CategoryTheory.Functor.{max u3 u1, max u3 u5, max u2 u3 u1, max u4 u3 u5} (HomotopyCategory.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomotopyCategory.category.{u1, u3, u2} ι V _inst_1 _inst_2 c) (HomotopyCategory.{u5, u4, u3} ι W _inst_3 _inst_4 c) (HomotopyCategory.category.{u5, u3, u4} ι W _inst_3 _inst_4 c)) (CategoryTheory.Functor.category.{max u3 u1, max u3 u5, max u2 u3 u1, max u4 u3 u5} (HomotopyCategory.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomotopyCategory.category.{u1, u3, u2} ι V _inst_1 _inst_2 c) (HomotopyCategory.{u5, u4, u3} ι W _inst_3 _inst_4 c) (HomotopyCategory.category.{u5, u3, u4} ι W _inst_3 _inst_4 c))) (CategoryTheory.Functor.mapHomotopyCategory.{u1, u2, u3, u4, u5} ι V _inst_1 _inst_2 W _inst_3 _inst_4 c F _inst_5) (CategoryTheory.Functor.mapHomotopyCategory.{u1, u2, u3, u4, u5} ι V _inst_1 _inst_2 W _inst_3 _inst_4 c G _inst_6) (CategoryTheory.Functor.mapHomotopyCategory.{u1, u2, u3, u4, u5} ι V _inst_1 _inst_2 W _inst_3 _inst_4 c H _inst_7) (CategoryTheory.NatTrans.mapHomotopyCategory.{u1, u2, u3, u4, u5} ι V _inst_1 _inst_2 W _inst_3 _inst_4 F G _inst_5 _inst_6 α c) (CategoryTheory.NatTrans.mapHomotopyCategory.{u1, u2, u3, u4, u5} ι V _inst_1 _inst_2 W _inst_3 _inst_4 G H _inst_6 _inst_7 β c))
+but is expected to have type
+  forall {ι : Type.{u3}} {V : Type.{u5}} [_inst_1 : CategoryTheory.Category.{u4, u5} V] [_inst_2 : CategoryTheory.Preadditive.{u4, u5} V _inst_1] {W : Type.{u1}} [_inst_3 : CategoryTheory.Category.{u2, u1} W] [_inst_4 : CategoryTheory.Preadditive.{u2, u1} W _inst_3] (c : ComplexShape.{u3} ι) {F : CategoryTheory.Functor.{u4, u2, u5, u1} V _inst_1 W _inst_3} {G : CategoryTheory.Functor.{u4, u2, u5, u1} V _inst_1 W _inst_3} {H : CategoryTheory.Functor.{u4, u2, u5, u1} V _inst_1 W _inst_3} [_inst_5 : CategoryTheory.Functor.Additive.{u5, u1, u4, u2} V W _inst_1 _inst_3 _inst_2 _inst_4 F] [_inst_6 : CategoryTheory.Functor.Additive.{u5, u1, u4, u2} V W _inst_1 _inst_3 _inst_2 _inst_4 G] [_inst_7 : CategoryTheory.Functor.Additive.{u5, u1, u4, u2} V W _inst_1 _inst_3 _inst_2 _inst_4 H] (α : Quiver.Hom.{max (succ u5) (succ u2), max (max (max u5 u4) u1) u2} (CategoryTheory.Functor.{u4, u2, u5, u1} V _inst_1 W _inst_3) (CategoryTheory.CategoryStruct.toQuiver.{max u5 u2, max (max (max u5 u4) u1) u2} (CategoryTheory.Functor.{u4, u2, u5, u1} V _inst_1 W _inst_3) (CategoryTheory.Category.toCategoryStruct.{max u5 u2, max (max (max u5 u4) u1) u2} (CategoryTheory.Functor.{u4, u2, u5, u1} V _inst_1 W _inst_3) (CategoryTheory.Functor.category.{u4, u2, u5, u1} V _inst_1 W _inst_3))) F G) (β : Quiver.Hom.{max (succ u5) (succ u2), max (max (max u5 u4) u1) u2} (CategoryTheory.Functor.{u4, u2, u5, u1} V _inst_1 W _inst_3) (CategoryTheory.CategoryStruct.toQuiver.{max u5 u2, max (max (max u5 u4) u1) u2} (CategoryTheory.Functor.{u4, u2, u5, u1} V _inst_1 W _inst_3) (CategoryTheory.Category.toCategoryStruct.{max u5 u2, max (max (max u5 u4) u1) u2} (CategoryTheory.Functor.{u4, u2, u5, u1} V _inst_1 W _inst_3) (CategoryTheory.Functor.category.{u4, u2, u5, u1} V _inst_1 W _inst_3))) G H), Eq.{max (max (max (succ u5) (succ u4)) (succ u3)) (succ u2)} (Quiver.Hom.{max (max (max (succ u5) (succ u4)) (succ u3)) (succ u2), max (max (max (max u5 u4) u3) u1) u2} (CategoryTheory.Functor.{max u4 u3, max u3 u2, max (max u3 u5) u4, max (max u3 u1) u2} (HomotopyCategory.{u4, u5, u3} ι V _inst_1 _inst_2 c) (instCategoryHomotopyCategory.{u4, u5, u3} V _inst_1 _inst_2 ι c) (HomotopyCategory.{u2, u1, u3} ι W _inst_3 _inst_4 c) (instCategoryHomotopyCategory.{u2, u1, u3} W _inst_3 _inst_4 ι c)) (CategoryTheory.CategoryStruct.toQuiver.{max (max (max u5 u4) u3) u2, max (max (max (max u5 u4) u3) u1) u2} (CategoryTheory.Functor.{max u4 u3, max u3 u2, max (max u3 u5) u4, max (max u3 u1) u2} (HomotopyCategory.{u4, u5, u3} ι V _inst_1 _inst_2 c) (instCategoryHomotopyCategory.{u4, u5, u3} V _inst_1 _inst_2 ι c) (HomotopyCategory.{u2, u1, u3} ι W _inst_3 _inst_4 c) (instCategoryHomotopyCategory.{u2, u1, u3} W _inst_3 _inst_4 ι c)) (CategoryTheory.Category.toCategoryStruct.{max (max (max u5 u4) u3) u2, max (max (max (max u5 u4) u3) u1) u2} (CategoryTheory.Functor.{max u4 u3, max u3 u2, max (max u3 u5) u4, max (max u3 u1) u2} (HomotopyCategory.{u4, u5, u3} ι V _inst_1 _inst_2 c) (instCategoryHomotopyCategory.{u4, u5, u3} V _inst_1 _inst_2 ι c) (HomotopyCategory.{u2, u1, u3} ι W _inst_3 _inst_4 c) (instCategoryHomotopyCategory.{u2, u1, u3} W _inst_3 _inst_4 ι c)) (CategoryTheory.Functor.category.{max u4 u3, max u3 u2, max (max u5 u4) u3, max (max u3 u1) u2} (HomotopyCategory.{u4, u5, u3} ι V _inst_1 _inst_2 c) (instCategoryHomotopyCategory.{u4, u5, u3} V _inst_1 _inst_2 ι c) (HomotopyCategory.{u2, u1, u3} ι W _inst_3 _inst_4 c) (instCategoryHomotopyCategory.{u2, u1, u3} W _inst_3 _inst_4 ι c)))) (CategoryTheory.Functor.mapHomotopyCategory.{u4, u5, u3, u1, u2} ι V _inst_1 _inst_2 W _inst_3 _inst_4 F _inst_5 c) (CategoryTheory.Functor.mapHomotopyCategory.{u4, u5, u3, u1, u2} ι V _inst_1 _inst_2 W _inst_3 _inst_4 H _inst_7 c)) (CategoryTheory.NatTrans.mapHomotopyCategory.{u4, u5, u3, u1, u2} ι V _inst_1 _inst_2 W _inst_3 _inst_4 F H _inst_5 _inst_7 (CategoryTheory.CategoryStruct.comp.{max u2 u5, max (max (max u2 u1) u5) u4} (CategoryTheory.Functor.{u4, u2, u5, u1} V _inst_1 W _inst_3) (CategoryTheory.Category.toCategoryStruct.{max u2 u5, max (max (max u2 u1) u5) u4} (CategoryTheory.Functor.{u4, u2, u5, u1} V _inst_1 W _inst_3) (CategoryTheory.Functor.category.{u4, u2, u5, u1} V _inst_1 W _inst_3)) F G H α β) c) (CategoryTheory.CategoryStruct.comp.{max (max (max u5 u4) u3) u2, max (max (max (max u5 u4) u3) u1) u2} (CategoryTheory.Functor.{max u4 u3, max u3 u2, max (max u3 u5) u4, max (max u3 u1) u2} (HomotopyCategory.{u4, u5, u3} ι V _inst_1 _inst_2 c) (instCategoryHomotopyCategory.{u4, u5, u3} V _inst_1 _inst_2 ι c) (HomotopyCategory.{u2, u1, u3} ι W _inst_3 _inst_4 c) (instCategoryHomotopyCategory.{u2, u1, u3} W _inst_3 _inst_4 ι c)) (CategoryTheory.Category.toCategoryStruct.{max (max (max u5 u4) u3) u2, max (max (max (max u5 u4) u3) u1) u2} (CategoryTheory.Functor.{max u4 u3, max u3 u2, max (max u3 u5) u4, max (max u3 u1) u2} (HomotopyCategory.{u4, u5, u3} ι V _inst_1 _inst_2 c) (instCategoryHomotopyCategory.{u4, u5, u3} V _inst_1 _inst_2 ι c) 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u2} ι V _inst_1 _inst_2 W _inst_3 _inst_4 G H _inst_6 _inst_7 β c))
+Case conversion may be inaccurate. Consider using '#align category_theory.nat_trans.map_homotopy_category_comp CategoryTheory.NatTrans.mapHomotopyCategory_compₓ'. -/
 @[simp]
 theorem NatTrans.mapHomotopyCategory_comp (c : ComplexShape ι) {F G H : V ⥤ W} [F.Additive]
     [G.Additive] [H.Additive] (α : F ⟶ G) (β : G ⟶ H) :

13ff898b

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

13ff898b

chore(CategoryTheory): make Functor.Full a Prop (#12449)

Before this PR, Functor.Full contained the data of the preimage of maps by a full functor F. This PR makes Functor.Full a proposition. This is to prevent any diamond to appear.

The lemma Functor.image_preimage is also renamed Functor.map_preimage.

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

ce289a0e

Diff

@@ -65,7 +65,7 @@ def quotient : HomologicalComplex V c ⥤ HomotopyCategory V c :=
   CategoryTheory.Quotient.functor _
 #align homotopy_category.quotient HomotopyCategory.quotient
 
-instance : (quotient V c).Full := Quotient.fullFunctor _
+instance : (quotient V c).Full := Quotient.full_functor _
 
 instance : (quotient V c).EssSurj := Quotient.essSurj_functor _
 
@@ -91,6 +91,12 @@ instance [HasZeroObject V] : HasZeroObject (HomotopyCategory V c) :=
   ⟨(quotient V c).obj 0, by
     rw [IsZero.iff_id_eq_zero, ← (quotient V c).map_id, id_zero, Functor.map_zero]⟩
 
+instance {D : Type*} [Category D] : ((whiskeringLeft _ _ D).obj (quotient V c)).Full :=
+  Quotient.full_whiskeringLeft_functor _ _
+
+instance {D : Type*} [Category D] : ((whiskeringLeft _ _ D).obj (quotient V c)).Faithful :=
+  Quotient.faithful_whiskeringLeft_functor _ _
+
 variable {V c}
 
 -- Porting note: removed @[simp] attribute because it hinders the automatic application of the

13ff898b

chore: split CategoryTheory.MorphismProperty (#12393)

The file CategoryTheory.MorphismProperty is split into five files Basic, Composition, Limits, Concrete, IsInvertedBy.

9e489ab7

Diff

@@ -5,6 +5,7 @@ Authors: Scott Morrison
 -/
 import Mathlib.Algebra.Homology.Homotopy
 import Mathlib.Algebra.Homology.Linear
+import Mathlib.CategoryTheory.MorphismProperty.IsInvertedBy
 import Mathlib.CategoryTheory.Quotient.Linear
 import Mathlib.CategoryTheory.Quotient.Preadditive

13ff898b

chore: fixed typo in Algebra.Homology.HomotopyCategory (#12140)

Fixes a typo in the name of a variable.

6b1d0a88

Diff

@@ -48,7 +48,7 @@ def HomotopyCategory :=
   CategoryTheory.Quotient (homotopic V c)
 #align homotopy_category HomotopyCategory
 
-instance {v : ComplexShape ι} : Category (HomotopyCategory V v) := by
+instance : Category (HomotopyCategory V c) := by
   dsimp only [HomotopyCategory]
   infer_instance

13ff898b

chore: remove autoImplicit from more files (#11798)

and reduce its scope in a few other instances. Mostly in CategoryTheory and Data this time; some Combinatorics also.

Co-authored-by: Richard Osborn <richardosborn@mac.com>

3bb1d613

Diff

@@ -17,9 +17,6 @@ import Mathlib.CategoryTheory.Quotient.Preadditive
 with chain maps identified when they are homotopic.
 -/
 
-set_option autoImplicit true
-
-
 universe v u
 
 open scoped Classical
@@ -51,7 +48,7 @@ def HomotopyCategory :=
   CategoryTheory.Quotient (homotopic V c)
 #align homotopy_category HomotopyCategory
 
-instance : Category (HomotopyCategory V v) := by
+instance {v : ComplexShape ι} : Category (HomotopyCategory V v) := by
   dsimp only [HomotopyCategory]
   infer_instance

13ff898b

chore(CategoryTheory): move Full, Faithful, EssSurj, IsEquivalence and ReflectsIsomorphisms to the Functor namespace (#11985)

These notions on functors are now Functor.Full, Functor.Faithful, Functor.EssSurj, Functor.IsEquivalence, Functor.ReflectsIsomorphisms. Deprecated aliases are introduced for the previous names.

65b7affc

Diff

@@ -67,9 +67,9 @@ def quotient : HomologicalComplex V c ⥤ HomotopyCategory V c :=
   CategoryTheory.Quotient.functor _
 #align homotopy_category.quotient HomotopyCategory.quotient
 
-instance : Full (quotient V c) := Quotient.fullFunctor _
+instance : (quotient V c).Full := Quotient.fullFunctor _
 
-instance : EssSurj (quotient V c) := Quotient.essSurj_functor _
+instance : (quotient V c).EssSurj := Quotient.essSurj_functor _
 
 instance : (quotient V c).Additive where

13ff898b

chore: scope open Classical (#11199)

We remove all but one open Classicals, instead preferring to use open scoped Classical. The only real side-effect this led to is moving a couple declarations to use Exists.choose instead of Classical.choose.

The first few commits are explicitly labelled regex replaces for ease of review.

c747be0a

Diff

@@ -22,7 +22,7 @@ set_option autoImplicit true
 
 universe v u
 
-open Classical
+open scoped Classical
 
 noncomputable section

13ff898b

feat(Algebra/Homology): the category of homological complexes is linear (#10891)

In this PR, it is shown that if C is a R-linear category, then the category of homological complexes in C is R-linear. (This is also obtained for the homotopy category.)

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

f5aa22df

Diff

@@ -4,7 +4,8 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
 import Mathlib.Algebra.Homology.Homotopy
-import Mathlib.Algebra.Homology.Additive
+import Mathlib.Algebra.Homology.Linear
+import Mathlib.CategoryTheory.Quotient.Linear
 import Mathlib.CategoryTheory.Quotient.Preadditive
 
 #align_import algebra.homology.homotopy_category from "leanprover-community/mathlib"@"13ff898b0eee75d3cc75d1c06a491720eaaf911d"
@@ -27,11 +28,8 @@ noncomputable section
 
 open CategoryTheory CategoryTheory.Limits HomologicalComplex
 
-variable {ι : Type*}
-
-variable (V : Type u) [Category.{v} V] [Preadditive V]
-
-variable (c : ComplexShape ι)
+variable {R : Type*} [Semiring R]
+  {ι : Type*} (V : Type u) [Category.{v} V] [Preadditive V] (c : ComplexShape ι)
 
 /-- The congruence on `HomologicalComplex V c` given by the existence of a homotopy.
 -/
@@ -75,6 +73,17 @@ instance : EssSurj (quotient V c) := Quotient.essSurj_functor _
 
 instance : (quotient V c).Additive where
 
+instance : Preadditive (CategoryTheory.Quotient (homotopic V c)) :=
+  (inferInstance : Preadditive (HomotopyCategory V c))
+
+instance : Functor.Additive (Quotient.functor (homotopic V c)) where
+
+instance [Linear R V] : Linear R (HomotopyCategory V c) :=
+  Quotient.linear R (homotopic V c) (fun _ _ _ _ _ h => ⟨h.some.smul _⟩)
+
+instance [Linear R V] : Functor.Linear R (HomotopyCategory.quotient V c) :=
+  Quotient.linear_functor _ _ _
+
 open ZeroObject
 
 instance [HasZeroObject V] : Inhabited (HomotopyCategory V c) :=

13ff898b

style: homogenise porting notes (#11145)

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".

8be0b69c

Diff

@@ -86,7 +86,7 @@ instance [HasZeroObject V] : HasZeroObject (HomotopyCategory V c) :=
 
 variable {V c}
 
--- porting note: removed @[simp] attribute because it hinders the automatic application of the
+-- Porting note: removed @[simp] attribute because it hinders the automatic application of the
 -- more useful `quotient_map_out`
 theorem quotient_obj_as (C : HomologicalComplex V c) : ((quotient V c).obj C).as = C :=
   rfl
@@ -97,7 +97,7 @@ theorem quotient_map_out {C D : HomotopyCategory V c} (f : C ⟶ D) : (quotient
   Quot.out_eq _
 #align homotopy_category.quotient_map_out HomotopyCategory.quotient_map_out
 
--- porting note: added to ease the port
+-- Porting note: added to ease the port
 theorem quot_mk_eq_quotient_map {C D : HomologicalComplex V c} (f : C ⟶ D) :
     Quot.mk _ f = (quotient V c).map f := rfl
 
@@ -240,7 +240,7 @@ namespace CategoryTheory
 
 variable {V} {W : Type*} [Category W] [Preadditive W]
 
--- porting note: given a simpler definition of this functor
+-- Porting note: given a simpler definition of this functor
 /-- An additive functor induces a functor between homotopy categories. -/
 @[simps! obj]
 def Functor.mapHomotopyCategory (F : V ⥤ W) [F.Additive] (c : ComplexShape ι) :

13ff898b

chore: classify added lemma porting notes (#10885)

Classifies by adding number (#10756) to porting notes claiming added lemma.

1bd0ec54

Diff

@@ -249,7 +249,7 @@ def Functor.mapHomotopyCategory (F : V ⥤ W) [F.Additive] (c : ComplexShape ι)
     (fun _ _ _ _ ⟨h⟩ => HomotopyCategory.eq_of_homotopy _ _ (F.mapHomotopy h))
 #align category_theory.functor.map_homotopy_category CategoryTheory.Functor.mapHomotopyCategory
 
--- porting note: added this lemma because of the new definition of `Functor.mapHomotopyCategory`
+-- Porting note (#10756): added lemma because of new definition of `Functor.mapHomotopyCategory`
 @[simp]
 lemma Functor.mapHomotopyCategory_map (F : V ⥤ W) [F.Additive] {c : ComplexShape ι}
     {K L : HomologicalComplex V c} (f : K ⟶ L) :

13ff898b

feat(Algebra/Homology): the class of quasi-isomorphisms in the homotopy category (#9686)

This PR introduces the class of quasi-isomorphisms in the homotopy category of homological complexes.

df4dbd30

Diff

@@ -154,6 +154,13 @@ def homotopyEquivOfIso {C D : HomologicalComplex V c}
       (by rw [quotient_map_out_comp_out, i.inv_hom_id, (quotient V c).map_id])
 #align homotopy_category.homotopy_equiv_of_iso HomotopyCategory.homotopyEquivOfIso
 
+variable (V c) in
+lemma quotient_inverts_homotopyEquivalences :
+    (HomologicalComplex.homotopyEquivalences V c).IsInvertedBy (quotient V c) := by
+  rintro K L _ ⟨e, rfl⟩
+  change IsIso (isoOfHomotopyEquiv e).hom
+  infer_instance
+
 lemma isZero_quotient_obj_iff (C : HomologicalComplex V c) :
     IsZero ((quotient _ _).obj C) ↔ Nonempty (Homotopy (𝟙 C) 0) := by
   rw [IsZero.iff_id_eq_zero]

13ff898b

feat(Algebra/Homology/HomotopyCategory): various prerequisites for the triangulated structure (#9592)

This PR adds various small prerequisites for the construction of the triangulated structure on the homotopy category of cochain complexes.

7c3197c2

Diff

@@ -77,10 +77,13 @@ instance : (quotient V c).Additive where
 
 open ZeroObject
 
--- TODO upgrade this to `HasZeroObject`, presumably for any `quotient`.
 instance [HasZeroObject V] : Inhabited (HomotopyCategory V c) :=
   ⟨(quotient V c).obj 0⟩
 
+instance [HasZeroObject V] : HasZeroObject (HomotopyCategory V c) :=
+  ⟨(quotient V c).obj 0, by
+    rw [IsZero.iff_id_eq_zero, ← (quotient V c).map_id, id_zero, Functor.map_zero]⟩
+
 variable {V c}
 
 -- porting note: removed @[simp] attribute because it hinders the automatic application of the
@@ -151,6 +154,15 @@ def homotopyEquivOfIso {C D : HomologicalComplex V c}
       (by rw [quotient_map_out_comp_out, i.inv_hom_id, (quotient V c).map_id])
 #align homotopy_category.homotopy_equiv_of_iso HomotopyCategory.homotopyEquivOfIso
 
+lemma isZero_quotient_obj_iff (C : HomologicalComplex V c) :
+    IsZero ((quotient _ _).obj C) ↔ Nonempty (Homotopy (𝟙 C) 0) := by
+  rw [IsZero.iff_id_eq_zero]
+  constructor
+  · intro h
+    exact ⟨(homotopyOfEq _ _ (by simp [h]))⟩
+  · rintro ⟨h⟩
+    simpa using (eq_of_homotopy _ _ h)
+
 variable (V c)
 
 section

13ff898b

refactor: use the new homology API for right derived functors (#8593)

Injective resolutions and right derived functors are redefined using the new homology API.

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

547a8415

Diff

@@ -238,6 +238,15 @@ lemma Functor.mapHomotopyCategory_map (F : V ⥤ W) [F.Additive] {c : ComplexSha
       (HomotopyCategory.quotient W c).map ((F.mapHomologicalComplex c).map f) :=
   rfl
 
+/-- The obvious isomorphism between
+`HomotopyCategory.quotient V c ⋙ F.mapHomotopyCategory c` and
+`F.mapHomologicalComplex c ⋙ HomotopyCategory.quotient W c` when `F : V ⥤ W` is
+an additive functor. -/
+def Functor.mapHomotopyCategoryFactors (F : V ⥤ W) [F.Additive] (c : ComplexShape ι) :
+    HomotopyCategory.quotient V c ⋙ F.mapHomotopyCategory c ≅
+      F.mapHomologicalComplex c ⋙ HomotopyCategory.quotient W c :=
+  CategoryTheory.Quotient.lift.isLift _ _ _
+
 -- TODO `F.mapHomotopyCategory c` is additive (and linear when `F` is linear).
 -- TODO develop lifting of natural transformations for general quotient categories so that
 -- `NatTrans.mapHomotopyCategory` become a particular case of it

13ff898b

feat: the homology functor on the homotopy category for the new API (#8595)

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

b112cb6b

Diff

@@ -4,7 +4,8 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
 import Mathlib.Algebra.Homology.Homotopy
-import Mathlib.CategoryTheory.Quotient
+import Mathlib.Algebra.Homology.Additive
+import Mathlib.CategoryTheory.Quotient.Preadditive
 
 #align_import algebra.homology.homotopy_category from "leanprover-community/mathlib"@"13ff898b0eee75d3cc75d1c06a491720eaaf911d"
 
@@ -59,11 +60,21 @@ instance : Category (HomotopyCategory V v) := by
 -- TODO the homotopy_category is preadditive
 namespace HomotopyCategory
 
+instance : Preadditive (HomotopyCategory V c) := Quotient.preadditive _ (by
+  rintro _ _ _ _ _ _ ⟨h⟩ ⟨h'⟩
+  exact ⟨Homotopy.add h h'⟩)
+
 /-- The quotient functor from complexes to the homotopy category. -/
 def quotient : HomologicalComplex V c ⥤ HomotopyCategory V c :=
   CategoryTheory.Quotient.functor _
 #align homotopy_category.quotient HomotopyCategory.quotient
 
+instance : Full (quotient V c) := Quotient.fullFunctor _
+
+instance : EssSurj (quotient V c) := Quotient.essSurj_functor _
+
+instance : (quotient V c).Additive where
+
 open ZeroObject
 
 -- TODO upgrade this to `HasZeroObject`, presumably for any `quotient`.
@@ -141,6 +152,9 @@ def homotopyEquivOfIso {C D : HomologicalComplex V c}
 #align homotopy_category.homotopy_equiv_of_iso HomotopyCategory.homotopyEquivOfIso
 
 variable (V c)
+
+section
+
 variable [HasEqualizers V] [HasImages V] [HasImageMaps V] [HasCokernels V]
 
 /-- The `i`-th homology, as a functor from the homotopy category. -/
@@ -173,6 +187,34 @@ theorem homology'Functor_map_factors (i : ι) {C D : HomologicalComplex V c} (f
   (CategoryTheory.Quotient.lift_map_functor_map _ (_root_.homology'Functor V c i) _ f).symm
 #align homotopy_category.homology_functor_map_factors HomotopyCategory.homology'Functor_map_factors
 
+end
+
+section
+
+variable [CategoryWithHomology V]
+
+/-- The `i`-th homology, as a functor from the homotopy category. -/
+noncomputable def homologyFunctor (i : ι) : HomotopyCategory V c ⥤ V :=
+  CategoryTheory.Quotient.lift _ (HomologicalComplex.homologyFunctor V c i) (by
+    rintro K L f g ⟨h⟩
+    exact h.homologyMap_eq i)
+
+/-- The homology functor on the homotopy category is induced by
+the homology functor on homological complexes. -/
+noncomputable def homologyFunctorFactors (i : ι) :
+    quotient V c ⋙ homologyFunctor V c i ≅
+      HomologicalComplex.homologyFunctor V c i :=
+  Quotient.lift.isLift _ _ _
+
+-- this is to prevent any abuse of defeq
+attribute [irreducible] homologyFunctor homologyFunctorFactors
+
+instance (i : ι) : (homologyFunctor V c i).Additive := by
+  have := Functor.additive_of_iso (homologyFunctorFactors V c i).symm
+  exact Functor.additive_of_full_essSurj_comp (quotient V c) _
+
+end
+
 end HomotopyCategory
 
 namespace CategoryTheory

13ff898b

refactor: introduce the new homology API for homological complex and rename the old one (#7954)

This PR renames definitions of the current homology API (adding a ' to homology, cycles, QuasiIso) so as to create space for the development of the new homology API of homological complexes: this PR also contains the new definition of HomologicalComplex.homology which involves the homology theory of short complexes.

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

c5fe4511

Diff

@@ -144,34 +144,34 @@ variable (V c)
 variable [HasEqualizers V] [HasImages V] [HasImageMaps V] [HasCokernels V]
 
 /-- The `i`-th homology, as a functor from the homotopy category. -/
-def homologyFunctor (i : ι) : HomotopyCategory V c ⥤ V :=
-  CategoryTheory.Quotient.lift _ (_root_.homologyFunctor V c i) fun _ _ _ _ ⟨h⟩ =>
-    homology_map_eq_of_homotopy h i
-#align homotopy_category.homology_functor HomotopyCategory.homologyFunctor
+def homology'Functor (i : ι) : HomotopyCategory V c ⥤ V :=
+  CategoryTheory.Quotient.lift _ (_root_.homology'Functor V c i) fun _ _ _ _ ⟨h⟩ =>
+    homology'_map_eq_of_homotopy h i
+#align homotopy_category.homology_functor HomotopyCategory.homology'Functor
 
 /-- The homology functor on the homotopy category is just the usual homology functor. -/
-def homologyFactors (i : ι) :
-    quotient V c ⋙ homologyFunctor V c i ≅ _root_.homologyFunctor V c i :=
+def homology'Factors (i : ι) :
+    quotient V c ⋙ homology'Functor V c i ≅ _root_.homology'Functor V c i :=
   CategoryTheory.Quotient.lift.isLift _ _ _
-#align homotopy_category.homology_factors HomotopyCategory.homologyFactors
+#align homotopy_category.homology_factors HomotopyCategory.homology'Factors
 
 @[simp]
-theorem homologyFactors_hom_app (i : ι) (C : HomologicalComplex V c) :
-    (homologyFactors V c i).hom.app C = 𝟙 _ :=
+theorem homology'Factors_hom_app (i : ι) (C : HomologicalComplex V c) :
+    (homology'Factors V c i).hom.app C = 𝟙 _ :=
   rfl
-#align homotopy_category.homology_factors_hom_app HomotopyCategory.homologyFactors_hom_app
+#align homotopy_category.homology_factors_hom_app HomotopyCategory.homology'Factors_hom_app
 
 @[simp]
-theorem homologyFactors_inv_app (i : ι) (C : HomologicalComplex V c) :
-    (homologyFactors V c i).inv.app C = 𝟙 _ :=
+theorem homology'Factors_inv_app (i : ι) (C : HomologicalComplex V c) :
+    (homology'Factors V c i).inv.app C = 𝟙 _ :=
   rfl
-#align homotopy_category.homology_factors_inv_app HomotopyCategory.homologyFactors_inv_app
+#align homotopy_category.homology_factors_inv_app HomotopyCategory.homology'Factors_inv_app
 
-theorem homologyFunctor_map_factors (i : ι) {C D : HomologicalComplex V c} (f : C ⟶ D) :
-    (_root_.homologyFunctor V c i).map f =
-      ((homologyFunctor V c i).map ((quotient V c).map f) : _) :=
-  (CategoryTheory.Quotient.lift_map_functor_map _ (_root_.homologyFunctor V c i) _ f).symm
-#align homotopy_category.homology_functor_map_factors HomotopyCategory.homologyFunctor_map_factors
+theorem homology'Functor_map_factors (i : ι) {C D : HomologicalComplex V c} (f : C ⟶ D) :
+    (_root_.homology'Functor V c i).map f =
+      ((homology'Functor V c i).map ((quotient V c).map f) : _) :=
+  (CategoryTheory.Quotient.lift_map_functor_map _ (_root_.homology'Functor V c i) _ f).symm
+#align homotopy_category.homology_functor_map_factors HomotopyCategory.homology'Functor_map_factors
 
 end HomotopyCategory

13ff898b

chore: only four spaces for subsequent lines (#7286)

Co-authored-by: Moritz Firsching <firsching@google.com>

0c7d6fa5

Diff

@@ -85,7 +85,7 @@ theorem quotient_map_out {C D : HomotopyCategory V c} (f : C ⟶ D) : (quotient
 
 -- porting note: added to ease the port
 theorem quot_mk_eq_quotient_map {C D : HomologicalComplex V c} (f : C ⟶ D) :
-  Quot.mk _ f = (quotient V c).map f := rfl
+    Quot.mk _ f = (quotient V c).map f := rfl
 
 theorem eq_of_homotopy {C D : HomologicalComplex V c} (f g : C ⟶ D) (h : Homotopy f g) :
     (quotient V c).map f = (quotient V c).map g :=

13ff898b

feat: the quotient category is preadditive (#7049)

It is shown in this PR that when an equivalence relation on morphisms in a preadditive category is compatible with the addition, then the quotient category is preadditive.

740d16ac

Diff

@@ -38,10 +38,10 @@ def homotopic : HomRel (HomologicalComplex V c) := fun _ _ f g => Nonempty (Homo
 #align homotopic homotopic
 
 instance homotopy_congruence : Congruence (homotopic V c) where
-  isEquiv :=
+  equivalence :=
     { refl := fun C => ⟨Homotopy.refl C⟩
-      symm := fun _ _ ⟨w⟩ => ⟨w.symm⟩
-      trans := fun _ _ _ ⟨w₁⟩ ⟨w₂⟩ => ⟨w₁.trans w₂⟩ }
+      symm := fun ⟨w⟩ => ⟨w.symm⟩
+      trans := fun ⟨w₁⟩ ⟨w₂⟩ => ⟨w₁.trans w₂⟩ }
   compLeft := fun _ _ _ ⟨i⟩ => ⟨i.compLeft _⟩
   compRight := fun _ ⟨i⟩ => ⟨i.compRight _⟩
 #align homotopy_congruence homotopy_congruence

13ff898b

fix: disable autoImplicit globally (#6528)

Autoimplicits are highly controversial and also defeat the performance-improving work in #6474.

The intent of this PR is to make autoImplicit opt-in on a per-file basis, by disabling it in the lakefile and enabling it again with set_option autoImplicit true in the few files that rely on it.

That also keeps this PR small, as opposed to attempting to "fix" files to not need it any more.

I claim that many of the uses of autoImplicit in these files are accidental; situations such as:

Assuming variables are in scope, but pasting the lemma in the wrong section
Pasting in a lemma from a scratch file without checking to see if the variable names are consistent with the rest of the file
Making a copy-paste error between lemmas and forgetting to add an explicit arguments.

Having set_option autoImplicit false as the default prevents these types of mistake being made in the 90% of files where autoImplicits are not used at all, and causes them to be caught by CI during review.

I think there were various points during the port where we encouraged porters to delete the universes u v lines; I think having autoparams for universe variables only would cover a lot of the cases we actually use them, while avoiding any real shortcomings.

A Zulip poll (after combining overlapping votes accordingly) was in favor of this change with 5:5:18 as the no:dontcare:yes vote ratio.

While this PR was being reviewed, a handful of files gained some more likely-accidental autoImplicits. In these places, set_option autoImplicit true has been placed locally within a section, rather than at the top of the file.

0c24f831

Diff

@@ -15,6 +15,8 @@ import Mathlib.CategoryTheory.Quotient
 with chain maps identified when they are homotopic.
 -/
 
+set_option autoImplicit true
+
 
 universe v u

13ff898b

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

@@ -24,7 +24,7 @@ noncomputable section
 
 open CategoryTheory CategoryTheory.Limits HomologicalComplex
 
-variable {ι : Type _}
+variable {ι : Type*}
 
 variable (V : Type u) [Category.{v} V] [Preadditive V]
 
@@ -175,7 +175,7 @@ end HomotopyCategory
 
 namespace CategoryTheory
 
-variable {V} {W : Type _} [Category W] [Preadditive W]
+variable {V} {W : Type*} [Category W] [Preadditive W]
 
 -- porting note: given a simpler definition of this functor
 /-- An additive functor induces a functor between homotopy categories. -/

13ff898b

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

@@ -2,15 +2,12 @@
 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 algebra.homology.homotopy_category
-! leanprover-community/mathlib commit 13ff898b0eee75d3cc75d1c06a491720eaaf911d
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Homology.Homotopy
 import Mathlib.CategoryTheory.Quotient
 
+#align_import algebra.homology.homotopy_category from "leanprover-community/mathlib"@"13ff898b0eee75d3cc75d1c06a491720eaaf911d"
+
 /-!
 # The homotopy category

13ff898b

chore: formatting issues (#4947)

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

5068808d

Diff

@@ -194,7 +194,7 @@ def Functor.mapHomotopyCategory (F : V ⥤ W) [F.Additive] (c : ComplexShape ι)
 lemma Functor.mapHomotopyCategory_map (F : V ⥤ W) [F.Additive] {c : ComplexShape ι}
     {K L : HomologicalComplex V c} (f : K ⟶ L) :
     (F.mapHomotopyCategory c).map ((HomotopyCategory.quotient V c).map f) =
-      (HomotopyCategory.quotient W c).map ((F.mapHomologicalComplex c).map f):=
+      (HomotopyCategory.quotient W c).map ((F.mapHomologicalComplex c).map f) :=
   rfl
 
 -- TODO `F.mapHomotopyCategory c` is additive (and linear when `F` is linear).

13ff898b

feat: port Algebra.Homology.HomotopyCategory (#3602)

c6ead01f

`algebra.homology.homotopy_category` ⟷ `Mathlib.Algebra.Homology.HomotopyCategory`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 3 + 327

algebra.homology.homotopy_category ⟷ Mathlib.Algebra.Homology.HomotopyCategory

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 3 + 327

`algebra.homology.homotopy_category` ⟷ `Mathlib.Algebra.Homology.HomotopyCategory`