algebra.homology.functor
⟷
Mathlib.Algebra.Homology.Functor
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.
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mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83
@@ -45,11 +45,11 @@ def asFunctor {T : Type _} [Category T] (C : HomologicalComplex (T ⥤ V) c) :
d := fun i j => (C.d i j).app t
d_comp_d' := fun i j k hij hjk => by
have := C.d_comp_d i j k
- rw [nat_trans.ext_iff, Function.funext_iff] at this
+ rw [nat_trans.ext_iff, Function.funext_iff] at this
exact this t
shape' := fun i j h => by
have := C.shape _ _ h
- rw [nat_trans.ext_iff, Function.funext_iff] at this
+ rw [nat_trans.ext_iff, Function.funext_iff] at this
exact this t }
map t₁ t₂ h :=
{ f := fun i => (C.pt i).map h
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,7 +3,7 @@ Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
-import Mathbin.Algebra.Homology.HomologicalComplex
+import Algebra.Homology.HomologicalComplex
#align_import algebra.homology.functor from "leanprover-community/mathlib"@"8eb9c42d4d34c77f6ee84ea766ae4070233a973c"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,14 +2,11 @@
Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-
-! This file was ported from Lean 3 source module algebra.homology.functor
-! leanprover-community/mathlib commit 8eb9c42d4d34c77f6ee84ea766ae4070233a973c
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.Algebra.Homology.HomologicalComplex
+#align_import algebra.homology.functor from "leanprover-community/mathlib"@"8eb9c42d4d34c77f6ee84ea766ae4070233a973c"
+
/-!
# Complexes in functor categories
mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423
@@ -37,6 +37,7 @@ variable {V : Type u} [Category.{v} V] [HasZeroMorphisms V]
variable {ι : Type _} {c : ComplexShape ι}
+#print HomologicalComplex.asFunctor /-
/-- A complex of functors gives a functor to complexes. -/
@[simps obj map]
def asFunctor {T : Type _} [Category T] (C : HomologicalComplex (T ⥤ V) c) :
@@ -59,7 +60,9 @@ def asFunctor {T : Type _} [Category T] (C : HomologicalComplex (T ⥤ V) c) :
map_id' t := by ext i; dsimp; rw [(C.X i).map_id]
map_comp' t₁ t₂ t₃ h₁ h₂ := by ext i; dsimp; rw [functor.map_comp]
#align homological_complex.as_functor HomologicalComplex.asFunctor
+-/
+#print HomologicalComplex.complexOfFunctorsToFunctorToComplex /-
-- TODO in fact, this is an equivalence of categories.
/-- The functorial version of `homological_complex.as_functor`. -/
@[simps]
@@ -73,6 +76,7 @@ def complexOfFunctorsToFunctorToComplex {T : Type _} [Category T] :
comm' := fun i j w => NatTrans.congr_app (f.comm i j) t }
naturality' := fun t t' g => by ext i; exact (f.f i).naturality g }
#align homological_complex.complex_of_functors_to_functor_to_complex HomologicalComplex.complexOfFunctorsToFunctorToComplex
+-/
end HomologicalComplex
mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb
@@ -47,11 +47,11 @@ def asFunctor {T : Type _} [Category T] (C : HomologicalComplex (T ⥤ V) c) :
d := fun i j => (C.d i j).app t
d_comp_d' := fun i j k hij hjk => by
have := C.d_comp_d i j k
- rw [nat_trans.ext_iff, Function.funext_iff] at this
+ rw [nat_trans.ext_iff, Function.funext_iff] at this
exact this t
shape' := fun i j h => by
have := C.shape _ _ h
- rw [nat_trans.ext_iff, Function.funext_iff] at this
+ rw [nat_trans.ext_iff, Function.funext_iff] at this
exact this t }
map t₁ t₂ h :=
{ f := fun i => (C.pt i).map h
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -37,12 +37,6 @@ variable {V : Type u} [Category.{v} V] [HasZeroMorphisms V]
variable {ι : Type _} {c : ComplexShape ι}
-/- warning: homological_complex.as_functor -> HomologicalComplex.asFunctor is a dubious translation:
-lean 3 declaration is
- forall {V : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} V] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} V _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι} {T : Type.{u4}} [_inst_3 : CategoryTheory.Category.{u5, u4} T], (HomologicalComplex.{max u4 u1, max u5 u1 u4 u2, u3} ι (CategoryTheory.Functor.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Functor.category.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u5, u4, u1, u2} T _inst_3 V _inst_1 _inst_2) c) -> (CategoryTheory.Functor.{u5, max u3 u1, u4, max u2 u3 u1} T _inst_3 (HomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.CategoryTheory.category.{u1, u2, u3} ι V _inst_1 _inst_2 c))
-but is expected to have type
- forall {V : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} V] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} V _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι} {T : Type.{u4}} [_inst_3 : CategoryTheory.Category.{u5, u4} T], (HomologicalComplex.{max u1 u4, max (max (max u2 u4) u1) u5, u3} ι (CategoryTheory.Functor.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Functor.category.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u5, u4, u1, u2} T _inst_3 V _inst_1 _inst_2) c) -> (CategoryTheory.Functor.{u5, max u1 u3, u4, max (max u3 u2) u1} T _inst_3 (HomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.instCategoryHomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c))
-Case conversion may be inaccurate. Consider using '#align homological_complex.as_functor HomologicalComplex.asFunctorₓ'. -/
/-- A complex of functors gives a functor to complexes. -/
@[simps obj map]
def asFunctor {T : Type _} [Category T] (C : HomologicalComplex (T ⥤ V) c) :
@@ -66,12 +60,6 @@ def asFunctor {T : Type _} [Category T] (C : HomologicalComplex (T ⥤ V) c) :
map_comp' t₁ t₂ t₃ h₁ h₂ := by ext i; dsimp; rw [functor.map_comp]
#align homological_complex.as_functor HomologicalComplex.asFunctor
-/- warning: homological_complex.complex_of_functors_to_functor_to_complex -> HomologicalComplex.complexOfFunctorsToFunctorToComplex is a dubious translation:
-lean 3 declaration is
- forall {V : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} V] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} V _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι} {T : Type.{u4}} [_inst_3 : CategoryTheory.Category.{u5, u4} T], CategoryTheory.Functor.{max u3 u4 u1, max u4 u3 u1, max (max u5 u1 u4 u2) u3 u4 u1, max u5 (max u3 u1) u4 u2 u3 u1} (HomologicalComplex.{max u4 u1, max u5 u1 u4 u2, u3} ι (CategoryTheory.Functor.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Functor.category.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u5, u4, u1, u2} T _inst_3 V _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{max u4 u1, max u5 u1 u4 u2, u3} ι (CategoryTheory.Functor.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Functor.category.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u5, u4, u1, u2} T _inst_3 V _inst_1 _inst_2) c) (CategoryTheory.Functor.{u5, max u3 u1, u4, max u2 u3 u1} T _inst_3 (HomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.CategoryTheory.category.{u1, u2, u3} ι V _inst_1 _inst_2 c)) (CategoryTheory.Functor.category.{u5, max u3 u1, u4, max u2 u3 u1} T _inst_3 (HomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.CategoryTheory.category.{u1, u2, u3} ι V _inst_1 _inst_2 c))
-but is expected to have type
- forall {V : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} V] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} V _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι} {T : Type.{u4}} [_inst_3 : CategoryTheory.Category.{u5, u4} T], CategoryTheory.Functor.{max (max u1 u3) u4, max (max u1 u3) u4, max (max u3 (max (max u2 u4) u1) u5) u1 u4, max (max (max (max (max u3 u2) u1) u4) u1 u3) u5} (HomologicalComplex.{max u1 u4, max (max (max u2 u4) u1) u5, u3} ι (CategoryTheory.Functor.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Functor.category.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u5, u4, u1, u2} T _inst_3 V _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{max u1 u4, max (max (max u2 u1) u4) u5, u3} ι (CategoryTheory.Functor.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Functor.category.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u5, u4, u1, u2} T _inst_3 V _inst_1 _inst_2) c) (CategoryTheory.Functor.{u5, max u1 u3, u4, max (max u3 u2) u1} T _inst_3 (HomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.instCategoryHomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c)) (CategoryTheory.Functor.category.{u5, max u1 u3, u4, max (max u2 u1) u3} T _inst_3 (HomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.instCategoryHomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c))
-Case conversion may be inaccurate. Consider using '#align homological_complex.complex_of_functors_to_functor_to_complex HomologicalComplex.complexOfFunctorsToFunctorToComplexₓ'. -/
-- TODO in fact, this is an equivalence of categories.
/-- The functorial version of `homological_complex.as_functor`. -/
@[simps]
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -62,14 +62,8 @@ def asFunctor {T : Type _} [Category T] (C : HomologicalComplex (T ⥤ V) c) :
map t₁ t₂ h :=
{ f := fun i => (C.pt i).map h
comm' := fun i j hij => NatTrans.naturality _ _ }
- map_id' t := by
- ext i
- dsimp
- rw [(C.X i).map_id]
- map_comp' t₁ t₂ t₃ h₁ h₂ := by
- ext i
- dsimp
- rw [functor.map_comp]
+ map_id' t := by ext i; dsimp; rw [(C.X i).map_id]
+ map_comp' t₁ t₂ t₃ h₁ h₂ := by ext i; dsimp; rw [functor.map_comp]
#align homological_complex.as_functor HomologicalComplex.asFunctor
/- warning: homological_complex.complex_of_functors_to_functor_to_complex -> HomologicalComplex.complexOfFunctorsToFunctorToComplex is a dubious translation:
@@ -89,9 +83,7 @@ def complexOfFunctorsToFunctorToComplex {T : Type _} [Category T] :
{ app := fun t =>
{ f := fun i => (f.f i).app t
comm' := fun i j w => NatTrans.congr_app (f.comm i j) t }
- naturality' := fun t t' g => by
- ext i
- exact (f.f i).naturality g }
+ naturality' := fun t t' g => by ext i; exact (f.f i).naturality g }
#align homological_complex.complex_of_functors_to_functor_to_complex HomologicalComplex.complexOfFunctorsToFunctorToComplex
end HomologicalComplex
mathlib commit https://github.com/leanprover-community/mathlib/commit/730c6d4cab72b9d84fcfb9e95e8796e9cd8f40ba
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
! This file was ported from Lean 3 source module algebra.homology.functor
-! leanprover-community/mathlib commit 8e25bb6c1645bb80670e13848b79a54aa45cb84f
+! leanprover-community/mathlib commit 8eb9c42d4d34c77f6ee84ea766ae4070233a973c
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
@@ -13,6 +13,9 @@ import Mathbin.Algebra.Homology.HomologicalComplex
/-!
# Complexes in functor categories
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
We can view a complex valued in a functor category `T ⥤ V` as
a functor from `T` to complexes valued in `V`.
mathlib commit https://github.com/leanprover-community/mathlib/commit/cd8fafa2fac98e1a67097e8a91ad9901cfde48af
@@ -34,6 +34,12 @@ variable {V : Type u} [Category.{v} V] [HasZeroMorphisms V]
variable {ι : Type _} {c : ComplexShape ι}
+/- warning: homological_complex.as_functor -> HomologicalComplex.asFunctor is a dubious translation:
+lean 3 declaration is
+ forall {V : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} V] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} V _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι} {T : Type.{u4}} [_inst_3 : CategoryTheory.Category.{u5, u4} T], (HomologicalComplex.{max u4 u1, max u5 u1 u4 u2, u3} ι (CategoryTheory.Functor.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Functor.category.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u5, u4, u1, u2} T _inst_3 V _inst_1 _inst_2) c) -> (CategoryTheory.Functor.{u5, max u3 u1, u4, max u2 u3 u1} T _inst_3 (HomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.CategoryTheory.category.{u1, u2, u3} ι V _inst_1 _inst_2 c))
+but is expected to have type
+ forall {V : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} V] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} V _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι} {T : Type.{u4}} [_inst_3 : CategoryTheory.Category.{u5, u4} T], (HomologicalComplex.{max u1 u4, max (max (max u2 u4) u1) u5, u3} ι (CategoryTheory.Functor.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Functor.category.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u5, u4, u1, u2} T _inst_3 V _inst_1 _inst_2) c) -> (CategoryTheory.Functor.{u5, max u1 u3, u4, max (max u3 u2) u1} T _inst_3 (HomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.instCategoryHomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c))
+Case conversion may be inaccurate. Consider using '#align homological_complex.as_functor HomologicalComplex.asFunctorₓ'. -/
/-- A complex of functors gives a functor to complexes. -/
@[simps obj map]
def asFunctor {T : Type _} [Category T] (C : HomologicalComplex (T ⥤ V) c) :
@@ -63,6 +69,12 @@ def asFunctor {T : Type _} [Category T] (C : HomologicalComplex (T ⥤ V) c) :
rw [functor.map_comp]
#align homological_complex.as_functor HomologicalComplex.asFunctor
+/- warning: homological_complex.complex_of_functors_to_functor_to_complex -> HomologicalComplex.complexOfFunctorsToFunctorToComplex is a dubious translation:
+lean 3 declaration is
+ forall {V : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} V] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} V _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι} {T : Type.{u4}} [_inst_3 : CategoryTheory.Category.{u5, u4} T], CategoryTheory.Functor.{max u3 u4 u1, max u4 u3 u1, max (max u5 u1 u4 u2) u3 u4 u1, max u5 (max u3 u1) u4 u2 u3 u1} (HomologicalComplex.{max u4 u1, max u5 u1 u4 u2, u3} ι (CategoryTheory.Functor.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Functor.category.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u5, u4, u1, u2} T _inst_3 V _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{max u4 u1, max u5 u1 u4 u2, u3} ι (CategoryTheory.Functor.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Functor.category.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u5, u4, u1, u2} T _inst_3 V _inst_1 _inst_2) c) (CategoryTheory.Functor.{u5, max u3 u1, u4, max u2 u3 u1} T _inst_3 (HomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.CategoryTheory.category.{u1, u2, u3} ι V _inst_1 _inst_2 c)) (CategoryTheory.Functor.category.{u5, max u3 u1, u4, max u2 u3 u1} T _inst_3 (HomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.CategoryTheory.category.{u1, u2, u3} ι V _inst_1 _inst_2 c))
+but is expected to have type
+ forall {V : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} V] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} V _inst_1] {ι : Type.{u3}} {c : ComplexShape.{u3} ι} {T : Type.{u4}} [_inst_3 : CategoryTheory.Category.{u5, u4} T], CategoryTheory.Functor.{max (max u1 u3) u4, max (max u1 u3) u4, max (max u3 (max (max u2 u4) u1) u5) u1 u4, max (max (max (max (max u3 u2) u1) u4) u1 u3) u5} (HomologicalComplex.{max u1 u4, max (max (max u2 u4) u1) u5, u3} ι (CategoryTheory.Functor.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Functor.category.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u5, u4, u1, u2} T _inst_3 V _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{max u1 u4, max (max (max u2 u1) u4) u5, u3} ι (CategoryTheory.Functor.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Functor.category.{u5, u1, u4, u2} T _inst_3 V _inst_1) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u5, u4, u1, u2} T _inst_3 V _inst_1 _inst_2) c) (CategoryTheory.Functor.{u5, max u1 u3, u4, max (max u3 u2) u1} T _inst_3 (HomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.instCategoryHomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c)) (CategoryTheory.Functor.category.{u5, max u1 u3, u4, max (max u2 u1) u3} T _inst_3 (HomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.instCategoryHomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c))
+Case conversion may be inaccurate. Consider using '#align homological_complex.complex_of_functors_to_functor_to_complex HomologicalComplex.complexOfFunctorsToFunctorToComplexₓ'. -/
-- TODO in fact, this is an equivalence of categories.
/-- The functorial version of `homological_complex.as_functor`. -/
@[simps]
mathlib commit https://github.com/leanprover-community/mathlib/commit/9da1b3534b65d9661eb8f42443598a92bbb49211
@@ -40,7 +40,7 @@ def asFunctor {T : Type _} [Category T] (C : HomologicalComplex (T ⥤ V) c) :
T ⥤ HomologicalComplex V c
where
obj t :=
- { x := fun i => (C.x i).obj t
+ { pt := fun i => (C.pt i).obj t
d := fun i j => (C.d i j).app t
d_comp_d' := fun i j k hij hjk => by
have := C.d_comp_d i j k
@@ -51,7 +51,7 @@ def asFunctor {T : Type _} [Category T] (C : HomologicalComplex (T ⥤ V) c) :
rw [nat_trans.ext_iff, Function.funext_iff] at this
exact this t }
map t₁ t₂ h :=
- { f := fun i => (C.x i).map h
+ { f := fun i => (C.pt i).map h
comm' := fun i j hij => NatTrans.naturality _ _ }
map_id' t := by
ext i
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
Empty lines were removed by executing the following Python script twice
import os
import re
# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
for filename in files:
if filename.endswith('.lean'):
file_path = os.path.join(dir_path, filename)
# Open the file and read its contents
with open(file_path, 'r') as file:
content = file.read()
# Use a regular expression to replace sequences of "variable" lines separated by empty lines
# with sequences without empty lines
modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)
# Write the modified content back to the file
with open(file_path, 'w') as file:
file.write(modified_content)
@@ -28,7 +28,6 @@ open CategoryTheory.Limits
namespace HomologicalComplex
variable {V : Type u} [Category.{v} V] [HasZeroMorphisms V]
-
variable {ι : Type*} {c : ComplexShape ι}
/-- A complex of functors gives a functor to complexes. -/
Type _
and Sort _
(#6499)
We remove all possible occurences of Type _
and Sort _
in favor of Type*
and Sort*
.
This has nice performance benefits.
@@ -29,11 +29,11 @@ namespace HomologicalComplex
variable {V : Type u} [Category.{v} V] [HasZeroMorphisms V]
-variable {ι : Type _} {c : ComplexShape ι}
+variable {ι : Type*} {c : ComplexShape ι}
/-- A complex of functors gives a functor to complexes. -/
@[simps obj map]
-def asFunctor {T : Type _} [Category T] (C : HomologicalComplex (T ⥤ V) c) :
+def asFunctor {T : Type*} [Category T] (C : HomologicalComplex (T ⥤ V) c) :
T ⥤ HomologicalComplex V c where
obj t :=
{ X := fun i => (C.X i).obj t
@@ -62,7 +62,7 @@ def asFunctor {T : Type _} [Category T] (C : HomologicalComplex (T ⥤ V) c) :
-- TODO in fact, this is an equivalence of categories.
/-- The functorial version of `HomologicalComplex.asFunctor`. -/
@[simps]
-def complexOfFunctorsToFunctorToComplex {T : Type _} [Category T] :
+def complexOfFunctorsToFunctorToComplex {T : Type*} [Category T] :
HomologicalComplex (T ⥤ V) c ⥤ T ⥤ HomologicalComplex V c where
obj C := C.asFunctor
map f :=
@@ -2,14 +2,11 @@
Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-
-! This file was ported from Lean 3 source module algebra.homology.functor
-! leanprover-community/mathlib commit 8e25bb6c1645bb80670e13848b79a54aa45cb84f
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.Algebra.Homology.HomologicalComplex
+#align_import algebra.homology.functor from "leanprover-community/mathlib"@"8e25bb6c1645bb80670e13848b79a54aa45cb84f"
+
/-!
# Complexes in functor categories
The unported dependencies are