algebra.homology.opposite | 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

8c75ef35

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

50251fd6

bump to nightly-2023-10-29-06

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

abdd1870

Diff

@@ -70,36 +70,36 @@ theorem imageToKernel_unop {X Y Z : Vᵒᵖ} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f
 #align image_to_kernel_unop imageToKernel_unop
 -/
 
-#print homologyOp /-
+#print homology'Op /-
 /-- Given `f, g` with `f ≫ g = 0`, the homology of `g.op, f.op` is the opposite of the homology of
 `f, g`. -/
-def homologyOp {X Y Z : V} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g = 0) :
-    homology g.op f.op (by rw [← op_comp, w, op_zero]) ≅ Opposite.op (homology f g w) :=
+def homology'Op {X Y Z : V} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g = 0) :
+    homology' g.op f.op (by rw [← op_comp, w, op_zero]) ≅ Opposite.op (homology' f g w) :=
   cokernelIsoOfEq (imageToKernel_op _ _ w) ≪≫
     cokernelEpiComp _ _ ≪≫
       cokernelCompIsIso _ _ ≪≫
         cokernelOpOp _ ≪≫
-          (homologyIsoKernelDesc _ _ _ ≪≫
+          (homology'IsoKernelDesc _ _ _ ≪≫
               kernelIsoOfEq
                   (by ext <;> simp only [image.fac, cokernel.π_desc, cokernel.π_desc_assoc]) ≪≫
                 kernelCompMono _ (image.ι g)).op
-#align homology_op homologyOp
+#align homology_op homology'Op
 -/
 
-#print homologyUnop /-
+#print homology'Unop /-
 /-- Given morphisms `f, g` in `Vᵒᵖ` with `f ≫ g = 0`, the homology of `g.unop, f.unop` is the
 opposite of the homology of `f, g`. -/
-def homologyUnop {X Y Z : Vᵒᵖ} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g = 0) :
-    homology g.unop f.unop (by rw [← unop_comp, w, unop_zero]) ≅ Opposite.unop (homology f g w) :=
+def homology'Unop {X Y Z : Vᵒᵖ} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g = 0) :
+    homology' g.unop f.unop (by rw [← unop_comp, w, unop_zero]) ≅ Opposite.unop (homology' f g w) :=
   cokernelIsoOfEq (imageToKernel_unop _ _ w) ≪≫
     cokernelEpiComp _ _ ≪≫
       cokernelCompIsIso _ _ ≪≫
         cokernelUnopUnop _ ≪≫
-          (homologyIsoKernelDesc _ _ _ ≪≫
+          (homology'IsoKernelDesc _ _ _ ≪≫
               kernelIsoOfEq
                   (by ext <;> simp only [image.fac, cokernel.π_desc, cokernel.π_desc_assoc]) ≪≫
                 kernelCompMono _ (image.ι g)).unop
-#align homology_unop homologyUnop
+#align homology_unop homology'Unop
 -/
 
 end
@@ -334,40 +334,40 @@ end
 
 variable [Abelian V] (C : HomologicalComplex V c) (i : ι)
 
-#print HomologicalComplex.homologyOpDef /-
+#print HomologicalComplex.homology'OpDef /-
 /-- Auxilliary tautological definition for `homology_op`. -/
-def homologyOpDef :
-    C.op.homology i ≅
-      homology (C.dFrom i).op (C.dTo i).op (by rw [← op_comp, C.d_to_comp_d_from i, op_zero]) :=
+def homology'OpDef :
+    C.op.homology' i ≅
+      homology' (C.dFrom i).op (C.dTo i).op (by rw [← op_comp, C.d_to_comp_d_from i, op_zero]) :=
   Iso.refl _
-#align homological_complex.homology_op_def HomologicalComplex.homologyOpDef
+#align homological_complex.homology_op_def HomologicalComplex.homology'OpDef
 -/
 
-#print HomologicalComplex.homologyOp /-
+#print HomologicalComplex.homology'Op /-
 /-- Given a complex `C` of objects in `V`, the `i`th homology of its 'opposite' complex (with
 objects in `Vᵒᵖ`) is the opposite of the `i`th homology of `C`. -/
-def homologyOp : C.op.homology i ≅ Opposite.op (C.homology i) :=
-  homologyOpDef _ _ ≪≫ homologyOp _ _ _
-#align homological_complex.homology_op HomologicalComplex.homologyOp
+def homology'Op : C.op.homology' i ≅ Opposite.op (C.homology' i) :=
+  homology'OpDef _ _ ≪≫ homology'Op _ _ _
+#align homological_complex.homology_op HomologicalComplex.homology'Op
 -/
 
-#print HomologicalComplex.homologyUnopDef /-
+#print HomologicalComplex.homology'UnopDef /-
 /-- Auxilliary tautological definition for `homology_unop`. -/
-def homologyUnopDef (C : HomologicalComplex Vᵒᵖ c) :
-    C.unop.homology i ≅
-      homology (C.dFrom i).unop (C.dTo i).unop
+def homology'UnopDef (C : HomologicalComplex Vᵒᵖ c) :
+    C.unop.homology' i ≅
+      homology' (C.dFrom i).unop (C.dTo i).unop
         (by rw [← unop_comp, C.d_to_comp_d_from i, unop_zero]) :=
   Iso.refl _
-#align homological_complex.homology_unop_def HomologicalComplex.homologyUnopDef
+#align homological_complex.homology_unop_def HomologicalComplex.homology'UnopDef
 -/
 
-#print HomologicalComplex.homologyUnop /-
+#print HomologicalComplex.homology'Unop /-
 /-- Given a complex `C` of objects in `Vᵒᵖ`, the `i`th homology of its 'opposite' complex (with
 objects in `V`) is the opposite of the `i`th homology of `C`. -/
-def homologyUnop (C : HomologicalComplex Vᵒᵖ c) :
-    C.unop.homology i ≅ Opposite.unop (C.homology i) :=
-  homologyUnopDef _ _ ≪≫ homologyUnop _ _ _
-#align homological_complex.homology_unop HomologicalComplex.homologyUnop
+def homology'Unop (C : HomologicalComplex Vᵒᵖ c) :
+    C.unop.homology' i ≅ Opposite.unop (C.homology' i) :=
+  homology'UnopDef _ _ ≪≫ homology'Unop _ _ _
+#align homological_complex.homology_unop HomologicalComplex.homology'Unop
 -/
 
 end HomologicalComplex

50251fd6

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,9 +3,9 @@ Copyright (c) 2022 Amelia Livingston. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin, Amelia Livingston
 -/
-import Mathbin.CategoryTheory.Abelian.Opposite
-import Mathbin.CategoryTheory.Abelian.Homology
-import Mathbin.Algebra.Homology.Additive
+import CategoryTheory.Abelian.Opposite
+import CategoryTheory.Abelian.Homology
+import Algebra.Homology.Additive
 
 #align_import algebra.homology.opposite from "leanprover-community/mathlib"@"50251fd6309cca5ca2e747882ffecd2729f38c5d"

50251fd6

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,16 +2,13 @@
 Copyright (c) 2022 Amelia Livingston. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin, Amelia Livingston
-
-! This file was ported from Lean 3 source module algebra.homology.opposite
-! leanprover-community/mathlib commit 50251fd6309cca5ca2e747882ffecd2729f38c5d
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Abelian.Opposite
 import Mathbin.CategoryTheory.Abelian.Homology
 import Mathbin.Algebra.Homology.Additive
 
+#align_import algebra.homology.opposite from "leanprover-community/mathlib"@"50251fd6309cca5ca2e747882ffecd2729f38c5d"
+
 /-!
 # Opposite categories of complexes

50251fd6

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -42,6 +42,7 @@ section
 
 variable {V : Type _} [Category V] [Abelian V]
 
+#print imageToKernel_op /-
 theorem imageToKernel_op {X Y Z : V} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g = 0) :
     imageToKernel g.op f.op (by rw [← op_comp, w, op_zero]) =
       (imageSubobjectIso _ ≪≫ (imageOpOp _).symm).Hom ≫
@@ -54,7 +55,9 @@ theorem imageToKernel_op {X Y Z : V} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g =
     imageToKernel_arrow, kernel_subobject_arrow', kernel.lift_ι, ← op_comp, cokernel.π_desc, ←
     image_subobject_arrow, ← image_unop_op_inv_comp_op_factor_thru_image g.op]
 #align image_to_kernel_op imageToKernel_op
+-/
 
+#print imageToKernel_unop /-
 theorem imageToKernel_unop {X Y Z : Vᵒᵖ} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g = 0) :
     imageToKernel g.unop f.unop (by rw [← unop_comp, w, unop_zero]) =
       (imageSubobjectIso _ ≪≫ (imageUnopUnop _).symm).Hom ≫
@@ -68,6 +71,7 @@ theorem imageToKernel_unop {X Y Z : Vᵒᵖ} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f
     imageToKernel_arrow, kernel_subobject_arrow', kernel.lift_ι, cokernel.π_desc, iso.unop_inv, ←
     unop_comp, factor_thru_image_comp_image_unop_op_inv, Quiver.Hom.unop_op, image_subobject_arrow]
 #align image_to_kernel_unop imageToKernel_unop
+-/
 
 #print homologyOp /-
 /-- Given `f, g` with `f ≫ g = 0`, the homology of `g.op, f.op` is the opposite of the homology of
@@ -220,6 +224,7 @@ def opCounitIso : opInverse V c ⋙ opFunctor V c ≅ 𝟭 (HomologicalComplex V
 #align homological_complex.op_counit_iso HomologicalComplex.opCounitIso
 -/
 
+#print HomologicalComplex.opEquivalence /-
 /-- Given a category of complexes with objects in `V`, there is a natural equivalence between its
 opposite category and a category of complexes with objects in `Vᵒᵖ`. -/
 @[simps]
@@ -236,6 +241,7 @@ def opEquivalence : (HomologicalComplex V c)ᵒᵖ ≌ HomologicalComplex Vᵒ
       op_functor_map_f, Quiver.Hom.unop_op, hom.iso_of_components_hom_f]
     exact category.comp_id _
 #align homological_complex.op_equivalence HomologicalComplex.opEquivalence
+-/
 
 #print HomologicalComplex.unopFunctor /-
 /-- Auxilliary definition for `unop_equivalence`. -/
@@ -296,6 +302,7 @@ def unopCounitIso : unopInverse V c ⋙ unopFunctor V c ≅ 𝟭 (HomologicalCom
 #align homological_complex.unop_counit_iso HomologicalComplex.unopCounitIso
 -/
 
+#print HomologicalComplex.unopEquivalence /-
 /-- Given a category of complexes with objects in `Vᵒᵖ`, there is a natural equivalence between its
 opposite category and a category of complexes with objects in `V`. -/
 @[simps]
@@ -312,14 +319,19 @@ def unopEquivalence : (HomologicalComplex Vᵒᵖ c)ᵒᵖ ≌ HomologicalComple
       op_functor_map_f, Quiver.Hom.unop_op, hom.iso_of_components_hom_f]
     exact category.comp_id _
 #align homological_complex.unop_equivalence HomologicalComplex.unopEquivalence
+-/
 
 variable {V c}
 
+#print HomologicalComplex.opFunctor_additive /-
 instance opFunctor_additive : (@opFunctor ι V _ c _).Additive where
 #align homological_complex.op_functor_additive HomologicalComplex.opFunctor_additive
+-/
 
+#print HomologicalComplex.unopFunctor_additive /-
 instance unopFunctor_additive : (@unopFunctor ι V _ c _).Additive where
 #align homological_complex.unop_functor_additive HomologicalComplex.unopFunctor_additive
+-/
 
 end

50251fd6

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -119,7 +119,7 @@ protected def op (X : HomologicalComplex V c) : HomologicalComplex Vᵒᵖ c.sym
   pt i := op (X.pt i)
   d i j := (X.d j i).op
   shape' i j hij := by rw [X.shape j i hij, op_zero]
-  d_comp_d' := by intros ; rw [← op_comp, X.d_comp_d, op_zero]
+  d_comp_d' := by intros; rw [← op_comp, X.d_comp_d, op_zero]
 #align homological_complex.op HomologicalComplex.op
 -/
 
@@ -131,7 +131,7 @@ protected def opSymm (X : HomologicalComplex V c.symm) : HomologicalComplex Vᵒ
   pt i := op (X.pt i)
   d i j := (X.d j i).op
   shape' i j hij := by rw [X.shape j i hij, op_zero]
-  d_comp_d' := by intros ; rw [← op_comp, X.d_comp_d, op_zero]
+  d_comp_d' := by intros; rw [← op_comp, X.d_comp_d, op_zero]
 #align homological_complex.op_symm HomologicalComplex.opSymm
 -/
 
@@ -143,7 +143,7 @@ protected def unop (X : HomologicalComplex Vᵒᵖ c) : HomologicalComplex V c.s
   pt i := unop (X.pt i)
   d i j := (X.d j i).unop
   shape' i j hij := by rw [X.shape j i hij, unop_zero]
-  d_comp_d' := by intros ; rw [← unop_comp, X.d_comp_d, unop_zero]
+  d_comp_d' := by intros; rw [← unop_comp, X.d_comp_d, unop_zero]
 #align homological_complex.unop HomologicalComplex.unop
 -/
 
@@ -155,7 +155,7 @@ protected def unopSymm (X : HomologicalComplex Vᵒᵖ c.symm) : HomologicalComp
   pt i := unop (X.pt i)
   d i j := (X.d j i).unop
   shape' i j hij := by rw [X.shape j i hij, unop_zero]
-  d_comp_d' := by intros ; rw [← unop_comp, X.d_comp_d, unop_zero]
+  d_comp_d' := by intros; rw [← unop_comp, X.d_comp_d, unop_zero]
 #align homological_complex.unop_symm HomologicalComplex.unopSymm
 -/
 
@@ -211,12 +211,12 @@ def opCounitIso : opInverse V c ⋙ opFunctor V c ≅ 𝟭 (HomologicalComplex V
   NatIso.ofComponents
     (fun X =>
       HomologicalComplex.Hom.isoOfComponents (fun i => Iso.refl _) fun i j hij => by
-        simpa only [iso.refl_hom, category.id_comp, category.comp_id] )
+        simpa only [iso.refl_hom, category.id_comp, category.comp_id])
     (by
       intro X Y f
       ext
       simpa only [Quiver.Hom.unop_op, Quiver.Hom.op_unop, functor.comp_map, functor.id_map,
-        iso.refl_hom, category.id_comp, category.comp_id, comp_f, hom.iso_of_components_hom_f] )
+        iso.refl_hom, category.id_comp, category.comp_id, comp_f, hom.iso_of_components_hom_f])
 #align homological_complex.op_counit_iso HomologicalComplex.opCounitIso
 -/
 
@@ -287,12 +287,12 @@ def unopCounitIso : unopInverse V c ⋙ unopFunctor V c ≅ 𝟭 (HomologicalCom
   NatIso.ofComponents
     (fun X =>
       HomologicalComplex.Hom.isoOfComponents (fun i => Iso.refl _) fun i j hij => by
-        simpa only [iso.refl_hom, category.id_comp, category.comp_id] )
+        simpa only [iso.refl_hom, category.id_comp, category.comp_id])
     (by
       intro X Y f
       ext
       simpa only [Quiver.Hom.unop_op, Quiver.Hom.op_unop, functor.comp_map, functor.id_map,
-        iso.refl_hom, category.id_comp, category.comp_id, comp_f, hom.iso_of_components_hom_f] )
+        iso.refl_hom, category.id_comp, category.comp_id, comp_f, hom.iso_of_components_hom_f])
 #align homological_complex.unop_counit_iso HomologicalComplex.unopCounitIso
 -/

50251fd6

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -42,9 +42,6 @@ section
 
 variable {V : Type _} [Category V] [Abelian V]
 
-/- warning: image_to_kernel_op -> imageToKernel_op is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align image_to_kernel_op imageToKernel_opₓ'. -/
 theorem imageToKernel_op {X Y Z : V} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g = 0) :
     imageToKernel g.op f.op (by rw [← op_comp, w, op_zero]) =
       (imageSubobjectIso _ ≪≫ (imageOpOp _).symm).Hom ≫
@@ -58,9 +55,6 @@ theorem imageToKernel_op {X Y Z : V} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g =
     image_subobject_arrow, ← image_unop_op_inv_comp_op_factor_thru_image g.op]
 #align image_to_kernel_op imageToKernel_op
 
-/- warning: image_to_kernel_unop -> imageToKernel_unop is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align image_to_kernel_unop imageToKernel_unopₓ'. -/
 theorem imageToKernel_unop {X Y Z : Vᵒᵖ} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g = 0) :
     imageToKernel g.unop f.unop (by rw [← unop_comp, w, unop_zero]) =
       (imageSubobjectIso _ ≪≫ (imageUnopUnop _).symm).Hom ≫
@@ -226,12 +220,6 @@ def opCounitIso : opInverse V c ⋙ opFunctor V c ≅ 𝟭 (HomologicalComplex V
 #align homological_complex.op_counit_iso HomologicalComplex.opCounitIso
 -/
 
-/- warning: homological_complex.op_equivalence -> HomologicalComplex.opEquivalence is a dubious translation:
-lean 3 declaration is
-  forall {ι : Type.{u1}} (V : Type.{u2}) [_inst_1 : CategoryTheory.Category.{u3, u2} V] (c : ComplexShape.{u1} ι) [_inst_2 : CategoryTheory.Preadditive.{u3, u2} V _inst_1], CategoryTheory.Equivalence.{max u1 u3, max u1 u3, max u2 u1 u3, max u2 u1 u3} (Opposite.{succ (max u2 u1 u3)} (HomologicalComplex.{u3, u2, u1} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} V _inst_1 _inst_2) c)) (CategoryTheory.Category.opposite.{max u1 u3, max u2 u1 u3} (HomologicalComplex.{u3, u2, u1} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} V _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u3, u2, u1} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} V _inst_1 _inst_2) c)) (HomologicalComplex.{u3, u2, u1} ι (Opposite.{succ u2} V) (CategoryTheory.Category.opposite.{u3, u2} V _inst_1) (CategoryTheory.Limits.hasZeroMorphismsOpposite.{u3, u2} V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} V _inst_1 _inst_2)) (ComplexShape.symm.{u1} ι c)) (HomologicalComplex.CategoryTheory.category.{u3, u2, u1} ι (Opposite.{succ u2} V) (CategoryTheory.Category.opposite.{u3, u2} V _inst_1) (CategoryTheory.Limits.hasZeroMorphismsOpposite.{u3, u2} V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} V _inst_1 _inst_2)) (ComplexShape.symm.{u1} ι c))
-but is expected to have type
-  forall {ι : Type.{u1}} (V : Type.{u2}) [_inst_1 : CategoryTheory.Category.{u3, u2} V] (c : ComplexShape.{u1} ι) [_inst_2 : CategoryTheory.Preadditive.{u3, u2} V _inst_1], CategoryTheory.Equivalence.{max u1 u3, max u1 u3, max (max u1 u2) u3, max (max u1 u2) u3} (Opposite.{max (max (succ u1) (succ u2)) (succ u3)} (HomologicalComplex.{u3, u2, u1} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} V _inst_1 _inst_2) c)) (HomologicalComplex.{u3, u2, u1} ι (Opposite.{succ u2} V) (CategoryTheory.Category.opposite.{u3, u2} V _inst_1) (CategoryTheory.Limits.hasZeroMorphismsOpposite.{u3, u2} V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} V _inst_1 _inst_2)) (ComplexShape.symm.{u1} ι c)) (CategoryTheory.Category.opposite.{max u1 u3, max (max u1 u2) u3} (HomologicalComplex.{u3, u2, u1} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} V _inst_1 _inst_2) c) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} V _inst_1 _inst_2) c)) (HomologicalComplex.instCategoryHomologicalComplex.{u3, u2, u1} ι (Opposite.{succ u2} V) (CategoryTheory.Category.opposite.{u3, u2} V _inst_1) (CategoryTheory.Limits.hasZeroMorphismsOpposite.{u3, u2} V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} V _inst_1 _inst_2)) (ComplexShape.symm.{u1} ι c))
-Case conversion may be inaccurate. Consider using '#align homological_complex.op_equivalence HomologicalComplex.opEquivalenceₓ'. -/
 /-- Given a category of complexes with objects in `V`, there is a natural equivalence between its
 opposite category and a category of complexes with objects in `Vᵒᵖ`. -/
 @[simps]
@@ -308,12 +296,6 @@ def unopCounitIso : unopInverse V c ⋙ unopFunctor V c ≅ 𝟭 (HomologicalCom
 #align homological_complex.unop_counit_iso HomologicalComplex.unopCounitIso
 -/
 
-/- warning: homological_complex.unop_equivalence -> HomologicalComplex.unopEquivalence is a dubious translation:
-lean 3 declaration is
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 /-- Given a category of complexes with objects in `Vᵒᵖ`, there is a natural equivalence between its
 opposite category and a category of complexes with objects in `V`. -/
 @[simps]
@@ -333,21 +315,9 @@ def unopEquivalence : (HomologicalComplex Vᵒᵖ c)ᵒᵖ ≌ HomologicalComple
 
 variable {V c}
 
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 instance opFunctor_additive : (@opFunctor ι V _ c _).Additive where
 #align homological_complex.op_functor_additive HomologicalComplex.opFunctor_additive
 
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 instance unopFunctor_additive : (@unopFunctor ι V _ c _).Additive where
 #align homological_complex.unop_functor_additive HomologicalComplex.unopFunctor_additive

50251fd6

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -125,9 +125,7 @@ protected def op (X : HomologicalComplex V c) : HomologicalComplex Vᵒᵖ c.sym
   pt i := op (X.pt i)
   d i j := (X.d j i).op
   shape' i j hij := by rw [X.shape j i hij, op_zero]
-  d_comp_d' := by
-    intros
-    rw [← op_comp, X.d_comp_d, op_zero]
+  d_comp_d' := by intros ; rw [← op_comp, X.d_comp_d, op_zero]
 #align homological_complex.op HomologicalComplex.op
 -/
 
@@ -139,9 +137,7 @@ protected def opSymm (X : HomologicalComplex V c.symm) : HomologicalComplex Vᵒ
   pt i := op (X.pt i)
   d i j := (X.d j i).op
   shape' i j hij := by rw [X.shape j i hij, op_zero]
-  d_comp_d' := by
-    intros
-    rw [← op_comp, X.d_comp_d, op_zero]
+  d_comp_d' := by intros ; rw [← op_comp, X.d_comp_d, op_zero]
 #align homological_complex.op_symm HomologicalComplex.opSymm
 -/
 
@@ -153,9 +149,7 @@ protected def unop (X : HomologicalComplex Vᵒᵖ c) : HomologicalComplex V c.s
   pt i := unop (X.pt i)
   d i j := (X.d j i).unop
   shape' i j hij := by rw [X.shape j i hij, unop_zero]
-  d_comp_d' := by
-    intros
-    rw [← unop_comp, X.d_comp_d, unop_zero]
+  d_comp_d' := by intros ; rw [← unop_comp, X.d_comp_d, unop_zero]
 #align homological_complex.unop HomologicalComplex.unop
 -/
 
@@ -167,9 +161,7 @@ protected def unopSymm (X : HomologicalComplex Vᵒᵖ c.symm) : HomologicalComp
   pt i := unop (X.pt i)
   d i j := (X.d j i).unop
   shape' i j hij := by rw [X.shape j i hij, unop_zero]
-  d_comp_d' := by
-    intros
-    rw [← unop_comp, X.d_comp_d, unop_zero]
+  d_comp_d' := by intros ; rw [← unop_comp, X.d_comp_d, unop_zero]
 #align homological_complex.unop_symm HomologicalComplex.unopSymm
 -/

50251fd6

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -43,10 +43,7 @@ section
 variable {V : Type _} [Category V] [Abelian V]
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align image_to_kernel_op imageToKernel_opₓ'. -/
 theorem imageToKernel_op {X Y Z : V} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g = 0) :
     imageToKernel g.op f.op (by rw [← op_comp, w, op_zero]) =
@@ -62,10 +59,7 @@ theorem imageToKernel_op {X Y Z : V} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g =
 #align image_to_kernel_op imageToKernel_op
 
 /- warning: image_to_kernel_unop -> imageToKernel_unop is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align image_to_kernel_unop imageToKernel_unopₓ'. -/
 theorem imageToKernel_unop {X Y Z : Vᵒᵖ} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g = 0) :
     imageToKernel g.unop f.unop (by rw [← unop_comp, w, unop_zero]) =

50251fd6

bump to nightly-2023-05-19-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/95a87616d63b3cb49d3fe678d416fbe9c4217bf4

9a2fedb8

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin, Amelia Livingston
 
 ! This file was ported from Lean 3 source module algebra.homology.opposite
-! leanprover-community/mathlib commit 8c75ef3517d4106e89fe524e6281d0b0545f47fc
+! leanprover-community/mathlib commit 50251fd6309cca5ca2e747882ffecd2729f38c5d
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.Algebra.Homology.Additive
 
 /-!
 # Opposite categories of complexes
+
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
 Given a preadditive category `V`, the opposite of its category of chain complexes is equivalent to
 the category of cochain complexes of objects in `Vᵒᵖ`. We define this equivalence, and another
 analagous equivalence (for a general category of homological complexes with a general

8c75ef35

bump to nightly-2023-05-17-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/f8c79b0a623404854a2902b836eac32156fd7712

311ac93c

Diff

@@ -39,6 +39,12 @@ section
 
 variable {V : Type _} [Category V] [Abelian V]
 
+/- warning: image_to_kernel_op -> imageToKernel_op is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align image_to_kernel_op imageToKernel_opₓ'. -/
 theorem imageToKernel_op {X Y Z : V} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g = 0) :
     imageToKernel g.op f.op (by rw [← op_comp, w, op_zero]) =
       (imageSubobjectIso _ ≪≫ (imageOpOp _).symm).Hom ≫
@@ -52,6 +58,12 @@ theorem imageToKernel_op {X Y Z : V} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g =
     image_subobject_arrow, ← image_unop_op_inv_comp_op_factor_thru_image g.op]
 #align image_to_kernel_op imageToKernel_op
 
+/- warning: image_to_kernel_unop -> imageToKernel_unop is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align image_to_kernel_unop imageToKernel_unopₓ'. -/
 theorem imageToKernel_unop {X Y Z : Vᵒᵖ} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g = 0) :
     imageToKernel g.unop f.unop (by rw [← unop_comp, w, unop_zero]) =
       (imageSubobjectIso _ ≪≫ (imageUnopUnop _).symm).Hom ≫
@@ -66,6 +78,7 @@ theorem imageToKernel_unop {X Y Z : Vᵒᵖ} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f
     unop_comp, factor_thru_image_comp_image_unop_op_inv, Quiver.Hom.unop_op, image_subobject_arrow]
 #align image_to_kernel_unop imageToKernel_unop
 
+#print homologyOp /-
 /-- Given `f, g` with `f ≫ g = 0`, the homology of `g.op, f.op` is the opposite of the homology of
 `f, g`. -/
 def homologyOp {X Y Z : V} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g = 0) :
@@ -79,7 +92,9 @@ def homologyOp {X Y Z : V} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g = 0) :
                   (by ext <;> simp only [image.fac, cokernel.π_desc, cokernel.π_desc_assoc]) ≪≫
                 kernelCompMono _ (image.ι g)).op
 #align homology_op homologyOp
+-/
 
+#print homologyUnop /-
 /-- Given morphisms `f, g` in `Vᵒᵖ` with `f ≫ g = 0`, the homology of `g.unop, f.unop` is the
 opposite of the homology of `f, g`. -/
 def homologyUnop {X Y Z : Vᵒᵖ} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g = 0) :
@@ -93,6 +108,7 @@ def homologyUnop {X Y Z : Vᵒᵖ} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g = 0)
                   (by ext <;> simp only [image.fac, cokernel.π_desc, cokernel.π_desc_assoc]) ≪≫
                 kernelCompMono _ (image.ι g)).unop
 #align homology_unop homologyUnop
+-/
 
 end
 
@@ -104,6 +120,7 @@ section
 
 variable [Preadditive V]
 
+#print HomologicalComplex.op /-
 /-- Sends a complex `X` with objects in `V` to the corresponding complex with objects in `Vᵒᵖ`. -/
 @[simps]
 protected def op (X : HomologicalComplex V c) : HomologicalComplex Vᵒᵖ c.symm
@@ -115,7 +132,9 @@ protected def op (X : HomologicalComplex V c) : HomologicalComplex Vᵒᵖ c.sym
     intros
     rw [← op_comp, X.d_comp_d, op_zero]
 #align homological_complex.op HomologicalComplex.op
+-/
 
+#print HomologicalComplex.opSymm /-
 /-- Sends a complex `X` with objects in `V` to the corresponding complex with objects in `Vᵒᵖ`. -/
 @[simps]
 protected def opSymm (X : HomologicalComplex V c.symm) : HomologicalComplex Vᵒᵖ c
@@ -127,7 +146,9 @@ protected def opSymm (X : HomologicalComplex V c.symm) : HomologicalComplex Vᵒ
     intros
     rw [← op_comp, X.d_comp_d, op_zero]
 #align homological_complex.op_symm HomologicalComplex.opSymm
+-/
 
+#print HomologicalComplex.unop /-
 /-- Sends a complex `X` with objects in `Vᵒᵖ` to the corresponding complex with objects in `V`. -/
 @[simps]
 protected def unop (X : HomologicalComplex Vᵒᵖ c) : HomologicalComplex V c.symm
@@ -139,7 +160,9 @@ protected def unop (X : HomologicalComplex Vᵒᵖ c) : HomologicalComplex V c.s
     intros
     rw [← unop_comp, X.d_comp_d, unop_zero]
 #align homological_complex.unop HomologicalComplex.unop
+-/
 
+#print HomologicalComplex.unopSymm /-
 /-- Sends a complex `X` with objects in `Vᵒᵖ` to the corresponding complex with objects in `V`. -/
 @[simps]
 protected def unopSymm (X : HomologicalComplex Vᵒᵖ c.symm) : HomologicalComplex V c
@@ -151,9 +174,11 @@ protected def unopSymm (X : HomologicalComplex Vᵒᵖ c.symm) : HomologicalComp
     intros
     rw [← unop_comp, X.d_comp_d, unop_zero]
 #align homological_complex.unop_symm HomologicalComplex.unopSymm
+-/
 
 variable (V c)
 
+#print HomologicalComplex.opFunctor /-
 /-- Auxilliary definition for `op_equivalence`. -/
 @[simps]
 def opFunctor : (HomologicalComplex V c)ᵒᵖ ⥤ HomologicalComplex Vᵒᵖ c.symm
@@ -163,7 +188,9 @@ def opFunctor : (HomologicalComplex V c)ᵒᵖ ⥤ HomologicalComplex Vᵒᵖ c.
     { f := fun i => (f.unop.f i).op
       comm' := fun i j hij => by simp only [op_d, ← op_comp, f.unop.comm] }
 #align homological_complex.op_functor HomologicalComplex.opFunctor
+-/
 
+#print HomologicalComplex.opInverse /-
 /-- Auxilliary definition for `op_equivalence`. -/
 @[simps]
 def opInverse : HomologicalComplex Vᵒᵖ c.symm ⥤ (HomologicalComplex V c)ᵒᵖ
@@ -174,7 +201,9 @@ def opInverse : HomologicalComplex Vᵒᵖ c.symm ⥤ (HomologicalComplex V c)
       { f := fun i => (f.f i).unop
         comm' := fun i j hij => by simp only [unop_symm_d, ← unop_comp, f.comm] }
 #align homological_complex.op_inverse HomologicalComplex.opInverse
+-/
 
+#print HomologicalComplex.opUnitIso /-
 /-- Auxilliary definition for `op_equivalence`. -/
 def opUnitIso : 𝟭 (HomologicalComplex V c)ᵒᵖ ≅ opFunctor V c ⋙ opInverse V c :=
   NatIso.ofComponents
@@ -191,7 +220,9 @@ def opUnitIso : 𝟭 (HomologicalComplex V c)ᵒᵖ ≅ opFunctor V c ⋙ opInve
         comp_f, hom.iso_of_components_hom_f]
       erw [category.id_comp, category.comp_id (f.unop.f x)])
 #align homological_complex.op_unit_iso HomologicalComplex.opUnitIso
+-/
 
+#print HomologicalComplex.opCounitIso /-
 /-- Auxilliary definition for `op_equivalence`. -/
 def opCounitIso : opInverse V c ⋙ opFunctor V c ≅ 𝟭 (HomologicalComplex Vᵒᵖ c.symm) :=
   NatIso.ofComponents
@@ -204,7 +235,14 @@ def opCounitIso : opInverse V c ⋙ opFunctor V c ≅ 𝟭 (HomologicalComplex V
       simpa only [Quiver.Hom.unop_op, Quiver.Hom.op_unop, functor.comp_map, functor.id_map,
         iso.refl_hom, category.id_comp, category.comp_id, comp_f, hom.iso_of_components_hom_f] )
 #align homological_complex.op_counit_iso HomologicalComplex.opCounitIso
+-/
 
+/- warning: homological_complex.op_equivalence -> HomologicalComplex.opEquivalence is a dubious translation:
+lean 3 declaration is
+  forall {ι : Type.{u1}} (V : Type.{u2}) [_inst_1 : CategoryTheory.Category.{u3, u2} V] (c : ComplexShape.{u1} ι) [_inst_2 : CategoryTheory.Preadditive.{u3, u2} V _inst_1], CategoryTheory.Equivalence.{max u1 u3, max u1 u3, max u2 u1 u3, max u2 u1 u3} (Opposite.{succ (max u2 u1 u3)} (HomologicalComplex.{u3, u2, u1} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} V _inst_1 _inst_2) c)) (CategoryTheory.Category.opposite.{max u1 u3, max u2 u1 u3} (HomologicalComplex.{u3, u2, u1} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} V _inst_1 _inst_2) c) (HomologicalComplex.CategoryTheory.category.{u3, u2, u1} ι V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} V _inst_1 _inst_2) c)) (HomologicalComplex.{u3, u2, u1} ι (Opposite.{succ u2} V) (CategoryTheory.Category.opposite.{u3, u2} V _inst_1) (CategoryTheory.Limits.hasZeroMorphismsOpposite.{u3, u2} V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} V _inst_1 _inst_2)) (ComplexShape.symm.{u1} ι c)) (HomologicalComplex.CategoryTheory.category.{u3, u2, u1} ι (Opposite.{succ u2} V) (CategoryTheory.Category.opposite.{u3, u2} V _inst_1) (CategoryTheory.Limits.hasZeroMorphismsOpposite.{u3, u2} V _inst_1 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u3, u2} V _inst_1 _inst_2)) (ComplexShape.symm.{u1} ι c))
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+Case conversion may be inaccurate. Consider using '#align homological_complex.op_equivalence HomologicalComplex.opEquivalenceₓ'. -/
 /-- Given a category of complexes with objects in `V`, there is a natural equivalence between its
 opposite category and a category of complexes with objects in `Vᵒᵖ`. -/
 @[simps]
@@ -222,6 +260,7 @@ def opEquivalence : (HomologicalComplex V c)ᵒᵖ ≌ HomologicalComplex Vᵒ
     exact category.comp_id _
 #align homological_complex.op_equivalence HomologicalComplex.opEquivalence
 
+#print HomologicalComplex.unopFunctor /-
 /-- Auxilliary definition for `unop_equivalence`. -/
 @[simps]
 def unopFunctor : (HomologicalComplex Vᵒᵖ c)ᵒᵖ ⥤ HomologicalComplex V c.symm
@@ -231,7 +270,9 @@ def unopFunctor : (HomologicalComplex Vᵒᵖ c)ᵒᵖ ⥤ HomologicalComplex V
     { f := fun i => (f.unop.f i).unop
       comm' := fun i j hij => by simp only [unop_d, ← unop_comp, f.unop.comm] }
 #align homological_complex.unop_functor HomologicalComplex.unopFunctor
+-/
 
+#print HomologicalComplex.unopInverse /-
 /-- Auxilliary definition for `unop_equivalence`. -/
 @[simps]
 def unopInverse : HomologicalComplex V c.symm ⥤ (HomologicalComplex Vᵒᵖ c)ᵒᵖ
@@ -242,7 +283,9 @@ def unopInverse : HomologicalComplex V c.symm ⥤ (HomologicalComplex Vᵒᵖ c)
       { f := fun i => (f.f i).op
         comm' := fun i j hij => by simp only [op_symm_d, ← op_comp, f.comm] }
 #align homological_complex.unop_inverse HomologicalComplex.unopInverse
+-/
 
+#print HomologicalComplex.unopUnitIso /-
 /-- Auxilliary definition for `unop_equivalence`. -/
 def unopUnitIso : 𝟭 (HomologicalComplex Vᵒᵖ c)ᵒᵖ ≅ unopFunctor V c ⋙ unopInverse V c :=
   NatIso.ofComponents
@@ -259,7 +302,9 @@ def unopUnitIso : 𝟭 (HomologicalComplex Vᵒᵖ c)ᵒᵖ ≅ unopFunctor V c
         comp_f, hom.iso_of_components_hom_f]
       erw [category.id_comp, category.comp_id (f.unop.f x)])
 #align homological_complex.unop_unit_iso HomologicalComplex.unopUnitIso
+-/
 
+#print HomologicalComplex.unopCounitIso /-
 /-- Auxilliary definition for `unop_equivalence`. -/
 def unopCounitIso : unopInverse V c ⋙ unopFunctor V c ≅ 𝟭 (HomologicalComplex V c.symm) :=
   NatIso.ofComponents
@@ -272,7 +317,14 @@ def unopCounitIso : unopInverse V c ⋙ unopFunctor V c ≅ 𝟭 (HomologicalCom
       simpa only [Quiver.Hom.unop_op, Quiver.Hom.op_unop, functor.comp_map, functor.id_map,
         iso.refl_hom, category.id_comp, category.comp_id, comp_f, hom.iso_of_components_hom_f] )
 #align homological_complex.unop_counit_iso HomologicalComplex.unopCounitIso
+-/
 
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+Case conversion may be inaccurate. Consider using '#align homological_complex.unop_equivalence HomologicalComplex.unopEquivalenceₓ'. -/
 /-- Given a category of complexes with objects in `Vᵒᵖ`, there is a natural equivalence between its
 opposite category and a category of complexes with objects in `V`. -/
 @[simps]
@@ -292,9 +344,21 @@ def unopEquivalence : (HomologicalComplex Vᵒᵖ c)ᵒᵖ ≌ HomologicalComple
 
 variable {V c}
 
+/- warning: homological_complex.op_functor_additive -> HomologicalComplex.opFunctor_additive is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align homological_complex.op_functor_additive HomologicalComplex.opFunctor_additiveₓ'. -/
 instance opFunctor_additive : (@opFunctor ι V _ c _).Additive where
 #align homological_complex.op_functor_additive HomologicalComplex.opFunctor_additive
 
+/- warning: homological_complex.unop_functor_additive -> HomologicalComplex.unopFunctor_additive is a dubious translation:
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 instance unopFunctor_additive : (@unopFunctor ι V _ c _).Additive where
 #align homological_complex.unop_functor_additive HomologicalComplex.unopFunctor_additive
 
@@ -302,19 +366,24 @@ end
 
 variable [Abelian V] (C : HomologicalComplex V c) (i : ι)
 
+#print HomologicalComplex.homologyOpDef /-
 /-- Auxilliary tautological definition for `homology_op`. -/
 def homologyOpDef :
     C.op.homology i ≅
       homology (C.dFrom i).op (C.dTo i).op (by rw [← op_comp, C.d_to_comp_d_from i, op_zero]) :=
   Iso.refl _
 #align homological_complex.homology_op_def HomologicalComplex.homologyOpDef
+-/
 
+#print HomologicalComplex.homologyOp /-
 /-- Given a complex `C` of objects in `V`, the `i`th homology of its 'opposite' complex (with
 objects in `Vᵒᵖ`) is the opposite of the `i`th homology of `C`. -/
 def homologyOp : C.op.homology i ≅ Opposite.op (C.homology i) :=
   homologyOpDef _ _ ≪≫ homologyOp _ _ _
 #align homological_complex.homology_op HomologicalComplex.homologyOp
+-/
 
+#print HomologicalComplex.homologyUnopDef /-
 /-- Auxilliary tautological definition for `homology_unop`. -/
 def homologyUnopDef (C : HomologicalComplex Vᵒᵖ c) :
     C.unop.homology i ≅
@@ -322,13 +391,16 @@ def homologyUnopDef (C : HomologicalComplex Vᵒᵖ c) :
         (by rw [← unop_comp, C.d_to_comp_d_from i, unop_zero]) :=
   Iso.refl _
 #align homological_complex.homology_unop_def HomologicalComplex.homologyUnopDef
+-/
 
+#print HomologicalComplex.homologyUnop /-
 /-- Given a complex `C` of objects in `Vᵒᵖ`, the `i`th homology of its 'opposite' complex (with
 objects in `V`) is the opposite of the `i`th homology of `C`. -/
 def homologyUnop (C : HomologicalComplex Vᵒᵖ c) :
     C.unop.homology i ≅ Opposite.unop (C.homology i) :=
   homologyUnopDef _ _ ≪≫ homologyUnop _ _ _
 #align homological_complex.homology_unop HomologicalComplex.homologyUnop
+-/
 
 end HomologicalComplex

8c75ef35

bump to nightly-2023-02-28-22

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

1fb1623f

Diff

@@ -108,7 +108,7 @@ variable [Preadditive V]
 @[simps]
 protected def op (X : HomologicalComplex V c) : HomologicalComplex Vᵒᵖ c.symm
     where
-  x i := op (X.x i)
+  pt i := op (X.pt i)
   d i j := (X.d j i).op
   shape' i j hij := by rw [X.shape j i hij, op_zero]
   d_comp_d' := by
@@ -120,7 +120,7 @@ protected def op (X : HomologicalComplex V c) : HomologicalComplex Vᵒᵖ c.sym
 @[simps]
 protected def opSymm (X : HomologicalComplex V c.symm) : HomologicalComplex Vᵒᵖ c
     where
-  x i := op (X.x i)
+  pt i := op (X.pt i)
   d i j := (X.d j i).op
   shape' i j hij := by rw [X.shape j i hij, op_zero]
   d_comp_d' := by
@@ -132,7 +132,7 @@ protected def opSymm (X : HomologicalComplex V c.symm) : HomologicalComplex Vᵒ
 @[simps]
 protected def unop (X : HomologicalComplex Vᵒᵖ c) : HomologicalComplex V c.symm
     where
-  x i := unop (X.x i)
+  pt i := unop (X.pt i)
   d i j := (X.d j i).unop
   shape' i j hij := by rw [X.shape j i hij, unop_zero]
   d_comp_d' := by
@@ -144,7 +144,7 @@ protected def unop (X : HomologicalComplex Vᵒᵖ c) : HomologicalComplex V c.s
 @[simps]
 protected def unopSymm (X : HomologicalComplex Vᵒᵖ c.symm) : HomologicalComplex V c
     where
-  x i := unop (X.x i)
+  pt i := unop (X.pt i)
   d i j := (X.d j i).unop
   shape' i j hij := by rw [X.shape j i hij, unop_zero]
   d_comp_d' := by

8c75ef35

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

8c75ef35

refactor(Algebra/Homology): use the new homology API (#8706)

This PR refactors the construction of left derived functors using the new homology API: this also affects the dependencies (Ext functors, group cohomology, local cohomology). As a result, the old homology API is no longer used in any significant way in mathlib. Then, with this PR, the homology refactor is essentially complete.

The organization of the files was made more coherent: the definition of a projective resolution is in Preadditive.ProjectiveResolution, the existence of resolutions when there are enough projectives is shown in Abelian.ProjectiveResolution, and the left derived functor is constructed in Abelian.LeftDerived; the dual results are in Preadditive.InjectiveResolution, Abelian.InjectiveResolution and Abelian.RightDerived.

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

41529d1e

Diff

@@ -1,11 +1,12 @@
 /-
 Copyright (c) 2022 Amelia Livingston. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
-Authors: Johan Commelin, Amelia Livingston
+Authors: Johan Commelin, Amelia Livingston, Joël Riou
 -/
 import Mathlib.CategoryTheory.Abelian.Opposite
 import Mathlib.CategoryTheory.Abelian.Homology
 import Mathlib.Algebra.Homology.Additive
+import Mathlib.Algebra.Homology.ShortComplex.HomologicalComplex
 
 #align_import algebra.homology.opposite from "leanprover-community/mathlib"@"8c75ef3517d4106e89fe524e6281d0b0545f47fc"
 
@@ -251,6 +252,26 @@ instance opFunctor_additive : (@opFunctor ι V _ c _).Additive where
 instance unopFunctor_additive : (@unopFunctor ι V _ c _).Additive where
 #align homological_complex.unop_functor_additive HomologicalComplex.unopFunctor_additive
 
+instance (K : HomologicalComplex V c) (i : ι) [K.HasHomology i] :
+    K.op.HasHomology i :=
+  (inferInstance : (K.sc i).op.HasHomology)
+
+instance (K : HomologicalComplex Vᵒᵖ c) (i : ι) [K.HasHomology i] :
+    K.unop.HasHomology i :=
+  (inferInstance : (K.sc i).unop.HasHomology)
+
+/-- If `K` is a homological complex, then the homology of `K.op` identifies to
+the opposite of the homology of `K`. -/
+def homologyOp (K : HomologicalComplex V c) (i : ι) [K.HasHomology i] :
+    K.op.homology i ≅ op (K.homology i) :=
+  (K.sc i).homologyOpIso
+
+/-- If `K` is a homological complex in the opposite category,
+then the homology of `K.unop` identifies to the opposite of the homology of `K`. -/
+def homologyUnop (K : HomologicalComplex Vᵒᵖ c) (i : ι) [K.HasHomology i] :
+    K.unop.homology i ≅ unop (K.homology i) :=
+  (K.unop.homologyOp i).unop
+
 end
 
 variable [Abelian V] (C : HomologicalComplex V c) (i : ι)

8c75ef35

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

@@ -64,23 +64,24 @@ theorem imageToKernel_unop {X Y Z : Vᵒᵖ} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f
 
 /-- Given `f, g` with `f ≫ g = 0`, the homology of `g.op, f.op` is the opposite of the homology of
 `f, g`. -/
-def homologyOp {X Y Z : V} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g = 0) :
-    homology g.op f.op (by rw [← op_comp, w, op_zero]) ≅ Opposite.op (homology f g w) :=
+def homology'Op {X Y Z : V} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g = 0) :
+    homology' g.op f.op (by rw [← op_comp, w, op_zero]) ≅ Opposite.op (homology' f g w) :=
   cokernelIsoOfEq (imageToKernel_op _ _ w) ≪≫ cokernelEpiComp _ _ ≪≫ cokernelCompIsIso _ _ ≪≫
-    cokernelOpOp _ ≪≫ (homologyIsoKernelDesc _ _ _ ≪≫
+    cokernelOpOp _ ≪≫ (homology'IsoKernelDesc _ _ _ ≪≫
     kernelIsoOfEq (by ext; simp only [image.fac, cokernel.π_desc, cokernel.π_desc_assoc]) ≪≫
     kernelCompMono _ (image.ι g)).op
-#align homology_op homologyOp
+#align homology_op homology'Op
 
 /-- Given morphisms `f, g` in `Vᵒᵖ` with `f ≫ g = 0`, the homology of `g.unop, f.unop` is the
 opposite of the homology of `f, g`. -/
-def homologyUnop {X Y Z : Vᵒᵖ} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g = 0) :
-    homology g.unop f.unop (by rw [← unop_comp, w, unop_zero]) ≅ Opposite.unop (homology f g w) :=
+def homology'Unop {X Y Z : Vᵒᵖ} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g = 0) :
+    homology' g.unop f.unop (by rw [← unop_comp, w, unop_zero]) ≅
+      Opposite.unop (homology' f g w) :=
   cokernelIsoOfEq (imageToKernel_unop _ _ w) ≪≫ cokernelEpiComp _ _ ≪≫ cokernelCompIsIso _ _ ≪≫
-    cokernelUnopUnop _ ≪≫ (homologyIsoKernelDesc _ _ _ ≪≫
+    cokernelUnopUnop _ ≪≫ (homology'IsoKernelDesc _ _ _ ≪≫
     kernelIsoOfEq (by ext; simp only [image.fac, cokernel.π_desc, cokernel.π_desc_assoc]) ≪≫
     kernelCompMono _ (image.ι g)).unop
-#align homology_unop homologyUnop
+#align homology_unop homology'Unop
 
 end
 
@@ -255,30 +256,30 @@ end
 variable [Abelian V] (C : HomologicalComplex V c) (i : ι)
 
 /-- Auxiliary tautological definition for `homologyOp`. -/
-def homologyOpDef : C.op.homology i ≅
-    _root_.homology (C.dFrom i).op (C.dTo i).op (by rw [← op_comp, C.dTo_comp_dFrom i, op_zero]) :=
+def homology'OpDef : C.op.homology' i ≅
+    _root_.homology' (C.dFrom i).op (C.dTo i).op (by rw [← op_comp, C.dTo_comp_dFrom i, op_zero]) :=
   Iso.refl _
-#align homological_complex.homology_op_def HomologicalComplex.homologyOpDef
+#align homological_complex.homology_op_def HomologicalComplex.homology'OpDef
 
 /-- Given a complex `C` of objects in `V`, the `i`th homology of its 'opposite' complex (with
 objects in `Vᵒᵖ`) is the opposite of the `i`th homology of `C`. -/
-nonrec def homologyOp : C.op.homology i ≅ Opposite.op (C.homology i) :=
-  homologyOpDef _ _ ≪≫ homologyOp _ _ _
-#align homological_complex.homology_op HomologicalComplex.homologyOp
+nonrec def homology'Op : C.op.homology' i ≅ Opposite.op (C.homology' i) :=
+  homology'OpDef _ _ ≪≫ homology'Op _ _ _
+#align homological_complex.homology_op HomologicalComplex.homology'Op
 
 /-- Auxiliary tautological definition for `homologyUnop`. -/
-def homologyUnopDef (C : HomologicalComplex Vᵒᵖ c) :
-    C.unop.homology i ≅
-      _root_.homology (C.dFrom i).unop (C.dTo i).unop
+def homology'UnopDef (C : HomologicalComplex Vᵒᵖ c) :
+    C.unop.homology' i ≅
+      _root_.homology' (C.dFrom i).unop (C.dTo i).unop
         (by rw [← unop_comp, C.dTo_comp_dFrom i, unop_zero]) :=
   Iso.refl _
-#align homological_complex.homology_unop_def HomologicalComplex.homologyUnopDef
+#align homological_complex.homology_unop_def HomologicalComplex.homology'UnopDef
 
 /-- Given a complex `C` of objects in `Vᵒᵖ`, the `i`th homology of its 'opposite' complex (with
 objects in `V`) is the opposite of the `i`th homology of `C`. -/
-nonrec def homologyUnop (C : HomologicalComplex Vᵒᵖ c) :
-    C.unop.homology i ≅ Opposite.unop (C.homology i) :=
-  homologyUnopDef _ _ ≪≫ homologyUnop _ _ _
-#align homological_complex.homology_unop HomologicalComplex.homologyUnop
+nonrec def homology'Unop (C : HomologicalComplex Vᵒᵖ c) :
+    C.unop.homology' i ≅ Opposite.unop (C.homology' i) :=
+  homology'UnopDef _ _ ≪≫ homology'Unop _ _ _
+#align homological_complex.homology_unop HomologicalComplex.homology'Unop
 
 end HomologicalComplex

8c75ef35

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

@@ -34,7 +34,7 @@ open Opposite CategoryTheory CategoryTheory.Limits
 
 section
 
-variable {V : Type _} [Category V] [Abelian V]
+variable {V : Type*} [Category V] [Abelian V]
 
 theorem imageToKernel_op {X Y Z : V} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g = 0) :
     imageToKernel g.op f.op (by rw [← op_comp, w, op_zero]) =
@@ -86,7 +86,7 @@ end
 
 namespace HomologicalComplex
 
-variable {ι V : Type _} [Category V] {c : ComplexShape ι}
+variable {ι V : Type*} [Category V] {c : ComplexShape ι}
 
 section

8c75ef35

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

@@ -2,16 +2,13 @@
 Copyright (c) 2022 Amelia Livingston. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin, Amelia Livingston
-
-! This file was ported from Lean 3 source module algebra.homology.opposite
-! leanprover-community/mathlib commit 8c75ef3517d4106e89fe524e6281d0b0545f47fc
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Abelian.Opposite
 import Mathlib.CategoryTheory.Abelian.Homology
 import Mathlib.Algebra.Homology.Additive
 
+#align_import algebra.homology.opposite from "leanprover-community/mathlib"@"8c75ef3517d4106e89fe524e6281d0b0545f47fc"
+
 /-!
 # Opposite categories of complexes
 Given a preadditive category `V`, the opposite of its category of chain complexes is equivalent to

8c75ef35

feat: more consistent use of ext, and updating porting notes. (#5242)

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

dbae2f17

Diff

@@ -71,9 +71,7 @@ def homologyOp {X Y Z : V} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g = 0) :
     homology g.op f.op (by rw [← op_comp, w, op_zero]) ≅ Opposite.op (homology f g w) :=
   cokernelIsoOfEq (imageToKernel_op _ _ w) ≪≫ cokernelEpiComp _ _ ≪≫ cokernelCompIsIso _ _ ≪≫
     cokernelOpOp _ ≪≫ (homologyIsoKernelDesc _ _ _ ≪≫
-    kernelIsoOfEq (by
-    -- Porting note: broken ext
-      apply coequalizer.hom_ext; simp only [image.fac, cokernel.π_desc, cokernel.π_desc_assoc]) ≪≫
+    kernelIsoOfEq (by ext; simp only [image.fac, cokernel.π_desc, cokernel.π_desc_assoc]) ≪≫
     kernelCompMono _ (image.ι g)).op
 #align homology_op homologyOp
 
@@ -83,9 +81,7 @@ def homologyUnop {X Y Z : Vᵒᵖ} (f : X ⟶ Y) (g : Y ⟶ Z) (w : f ≫ g = 0)
     homology g.unop f.unop (by rw [← unop_comp, w, unop_zero]) ≅ Opposite.unop (homology f g w) :=
   cokernelIsoOfEq (imageToKernel_unop _ _ w) ≪≫ cokernelEpiComp _ _ ≪≫ cokernelCompIsIso _ _ ≪≫
     cokernelUnopUnop _ ≪≫ (homologyIsoKernelDesc _ _ _ ≪≫
-    kernelIsoOfEq (by
-    -- Porting note: broken ext
-      apply coequalizer.hom_ext; simp only [image.fac, cokernel.π_desc, cokernel.π_desc_assoc]) ≪≫
+    kernelIsoOfEq (by ext; simp only [image.fac, cokernel.π_desc, cokernel.π_desc_assoc]) ≪≫
     kernelCompMono _ (image.ι g)).unop
 #align homology_unop homologyUnop

8c75ef35

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

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

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

5b958613

Diff

@@ -175,11 +175,7 @@ def opUnitIso : 𝟭 (HomologicalComplex V c)ᵒᵖ ≅ opFunctor V c ⋙ opInve
 /-- Auxiliary definition for `opEquivalence`. -/
 def opCounitIso : opInverse V c ⋙ opFunctor V c ≅ 𝟭 (HomologicalComplex Vᵒᵖ c.symm) :=
   NatIso.ofComponents
-    (fun X => HomologicalComplex.Hom.isoOfComponents (fun i => Iso.refl _) fun i j _ => by simp)
-    (by
-      intro X Y f
-      ext
-      simp)
+    fun X => HomologicalComplex.Hom.isoOfComponents fun i => Iso.refl _
 #align homological_complex.op_counit_iso HomologicalComplex.opCounitIso
 
 /-- Given a category of complexes with objects in `V`, there is a natural equivalence between its
@@ -235,11 +231,7 @@ def unopUnitIso : 𝟭 (HomologicalComplex Vᵒᵖ c)ᵒᵖ ≅ unopFunctor V c
 /-- Auxiliary definition for `unopEquivalence`. -/
 def unopCounitIso : unopInverse V c ⋙ unopFunctor V c ≅ 𝟭 (HomologicalComplex V c.symm) :=
   NatIso.ofComponents
-    (fun X => HomologicalComplex.Hom.isoOfComponents (fun i => Iso.refl _) fun i j _ => by simp)
-    (by
-      intro X Y f
-      ext
-      simp)
+    fun X => HomologicalComplex.Hom.isoOfComponents fun i => Iso.refl _
 #align homological_complex.unop_counit_iso HomologicalComplex.unopCounitIso
 
 /-- Given a category of complexes with objects in `Vᵒᵖ`, there is a natural equivalence between its

8c75ef35

feat: port Algebra.Homology.Opposite (#3998)

Co-authored-by: Moritz Firsching <firsching@google.com> Co-authored-by: Matthew Ballard <matt@mrb.email>

4cb84b72

`algebra.homology.opposite` ⟷ `Mathlib.Algebra.Homology.Opposite`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 538

algebra.homology.opposite ⟷ Mathlib.Algebra.Homology.Opposite

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 538

`algebra.homology.opposite` ⟷ `Mathlib.Algebra.Homology.Opposite`