algebra.homology.flipMathlib.Algebra.Homology.HomologicalBicomplex

This file has been ported!

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

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -32,12 +32,12 @@ variable {V : Type u} [Category.{v} V] [HasZeroMorphisms V]
 
 variable {ι : Type _} {c : ComplexShape ι} {ι' : Type _} {c' : ComplexShape ι'}
 
-#print HomologicalComplex.flipObj /-
+#print HomologicalComplex₂.flip /-
 /-- Flip a complex of complexes over the diagonal,
 exchanging the horizontal and vertical directions.
 -/
 @[simps]
-def flipObj (C : HomologicalComplex (HomologicalComplex V c) c') :
+def flip (C : HomologicalComplex (HomologicalComplex V c) c') :
     HomologicalComplex (HomologicalComplex V c') c
     where
   pt i :=
@@ -49,31 +49,31 @@ def flipObj (C : HomologicalComplex (HomologicalComplex V c) c') :
     { f := fun j => (C.pt j).d i i'
       comm' := fun j j' h => ((C.d j j').comm i i').symm }
   shape' i i' w := by ext j; exact (C.X j).shape i i' w
-#align homological_complex.flip_obj HomologicalComplex.flipObj
+#align homological_complex.flip_obj HomologicalComplex₂.flip
 -/
 
 variable (V c c')
 
-#print HomologicalComplex.flip /-
+#print HomologicalComplex₂.flipFunctor /-
 /-- Flipping a complex of complexes over the diagonal, as a functor. -/
 @[simps]
-def flip :
+def flipFunctor :
     HomologicalComplex (HomologicalComplex V c) c' ⥤ HomologicalComplex (HomologicalComplex V c') c
     where
-  obj C := flipObj C
+  obj C := flip C
   map C D f :=
     {
       f := fun i =>
         { f := fun j => (f.f j).f i
           comm' := fun j j' h => congr_hom (f.comm j j') i } }
-#align homological_complex.flip HomologicalComplex.flip
+#align homological_complex.flip HomologicalComplex₂.flipFunctor
 -/
 
-#print HomologicalComplex.flipEquivalenceUnitIso /-
+#print HomologicalComplex₂.flipEquivalenceUnitIso /-
 /-- Auxiliary definition for `homological_complex.flip_equivalence` .-/
 @[simps]
 def flipEquivalenceUnitIso :
-    𝟭 (HomologicalComplex (HomologicalComplex V c) c') ≅ flip V c c' ⋙ flip V c' c :=
+    𝟭 (HomologicalComplex (HomologicalComplex V c) c') ≅ flipFunctor V c c' ⋙ flipFunctor V c' c :=
   NatIso.ofComponents
     (fun C =>
       { Hom :=
@@ -83,14 +83,14 @@ def flipEquivalenceUnitIso :
           { f := fun i => { f := fun j => 𝟙 ((C.pt i).pt j) }
             comm' := fun i j h => by ext; dsimp; simp only [category.id_comp, category.comp_id] } })
     fun X Y f => by ext; dsimp; simp only [category.id_comp, category.comp_id]
-#align homological_complex.flip_equivalence_unit_iso HomologicalComplex.flipEquivalenceUnitIso
+#align homological_complex.flip_equivalence_unit_iso HomologicalComplex₂.flipEquivalenceUnitIso
 -/
 
-#print HomologicalComplex.flipEquivalenceCounitIso /-
+#print HomologicalComplex₂.flipEquivalenceCounitIso /-
 /-- Auxiliary definition for `homological_complex.flip_equivalence` .-/
 @[simps]
 def flipEquivalenceCounitIso :
-    flip V c' c ⋙ flip V c c' ≅ 𝟭 (HomologicalComplex (HomologicalComplex V c') c) :=
+    flipFunctor V c' c ⋙ flipFunctor V c c' ≅ 𝟭 (HomologicalComplex (HomologicalComplex V c') c) :=
   NatIso.ofComponents
     (fun C =>
       { Hom :=
@@ -100,20 +100,20 @@ def flipEquivalenceCounitIso :
           { f := fun i => { f := fun j => 𝟙 ((C.pt i).pt j) }
             comm' := fun i j h => by ext; dsimp; simp only [category.id_comp, category.comp_id] } })
     fun X Y f => by ext; dsimp; simp only [category.id_comp, category.comp_id]
-#align homological_complex.flip_equivalence_counit_iso HomologicalComplex.flipEquivalenceCounitIso
+#align homological_complex.flip_equivalence_counit_iso HomologicalComplex₂.flipEquivalenceCounitIso
 -/
 
-#print HomologicalComplex.flipEquivalence /-
+#print HomologicalComplex₂.flipEquivalence /-
 /-- Flipping a complex of complexes over the diagonal, as an equivalence of categories. -/
 @[simps]
 def flipEquivalence :
     HomologicalComplex (HomologicalComplex V c) c' ≌ HomologicalComplex (HomologicalComplex V c') c
     where
-  Functor := flip V c c'
-  inverse := flip V c' c
+  Functor := flipFunctor V c c'
+  inverse := flipFunctor V c' c
   unitIso := flipEquivalenceUnitIso V c c'
   counitIso := flipEquivalenceCounitIso V c c'
-#align homological_complex.flip_equivalence HomologicalComplex.flipEquivalence
+#align homological_complex.flip_equivalence HomologicalComplex₂.flipEquivalence
 -/
 
 end HomologicalComplex
Diff
@@ -3,7 +3,7 @@ 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.HomologicalComplex
+import Algebra.Homology.HomologicalComplex
 
 #align_import algebra.homology.flip from "leanprover-community/mathlib"@"8eb9c42d4d34c77f6ee84ea766ae4070233a973c"
 
Diff
@@ -2,14 +2,11 @@
 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.flip
-! 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.flip from "leanprover-community/mathlib"@"8eb9c42d4d34c77f6ee84ea766ae4070233a973c"
+
 /-!
 # Flip a complex of complexes
 
Diff
@@ -106,6 +106,7 @@ def flipEquivalenceCounitIso :
 #align homological_complex.flip_equivalence_counit_iso HomologicalComplex.flipEquivalenceCounitIso
 -/
 
+#print HomologicalComplex.flipEquivalence /-
 /-- Flipping a complex of complexes over the diagonal, as an equivalence of categories. -/
 @[simps]
 def flipEquivalence :
@@ -116,6 +117,7 @@ def flipEquivalence :
   unitIso := flipEquivalenceUnitIso V c c'
   counitIso := flipEquivalenceCounitIso V c c'
 #align homological_complex.flip_equivalence HomologicalComplex.flipEquivalence
+-/
 
 end HomologicalComplex
 
Diff
@@ -106,12 +106,6 @@ def flipEquivalenceCounitIso :
 #align homological_complex.flip_equivalence_counit_iso HomologicalComplex.flipEquivalenceCounitIso
 -/
 
-/- warning: homological_complex.flip_equivalence -> HomologicalComplex.flipEquivalence 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) {ι' : Type.{u4}} (c' : ComplexShape.{u4} ι'), CategoryTheory.Equivalence.{max u4 u3 u1, max u3 u4 u1, max (max u2 u3 u1) u4 u3 u1, max (max u2 u4 u1) u3 u4 u1} (HomologicalComplex.{max u3 u1, max u2 u3 u1, u4} ι' (HomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.CategoryTheory.category.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.CategoryTheory.Limits.hasZeroMorphisms.{u1, u2, u3} ι V _inst_1 _inst_2 c) c') (HomologicalComplex.CategoryTheory.category.{max u3 u1, max u2 u3 u1, u4} ι' (HomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.CategoryTheory.category.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.CategoryTheory.Limits.hasZeroMorphisms.{u1, u2, u3} ι V _inst_1 _inst_2 c) c') (HomologicalComplex.{max u4 u1, max u2 u4 u1, u3} ι (HomologicalComplex.{u1, u2, u4} ι' V _inst_1 _inst_2 c') (HomologicalComplex.CategoryTheory.category.{u1, u2, u4} ι' V _inst_1 _inst_2 c') (HomologicalComplex.CategoryTheory.Limits.hasZeroMorphisms.{u1, u2, u4} ι' V _inst_1 _inst_2 c') c) (HomologicalComplex.CategoryTheory.category.{max u4 u1, max u2 u4 u1, u3} ι (HomologicalComplex.{u1, u2, u4} ι' V _inst_1 _inst_2 c') (HomologicalComplex.CategoryTheory.category.{u1, u2, u4} ι' V _inst_1 _inst_2 c') (HomologicalComplex.CategoryTheory.Limits.hasZeroMorphisms.{u1, u2, u4} ι' V _inst_1 _inst_2 c') 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) {ι' : Type.{u4}} (c' : ComplexShape.{u4} ι'), CategoryTheory.Equivalence.{max (max u1 u3) u4, max (max u1 u3) u4, max (max u4 (max u3 u2) u1) u1 u3, max (max u3 (max u4 u2) u1) u1 u4} (HomologicalComplex.{max u1 u3, max (max u3 u2) u1, u4} ι' (HomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.instCategoryHomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.instHasZeroMorphismsHomologicalComplexInstCategoryHomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) c') (HomologicalComplex.{max u1 u4, max (max u4 u2) u1, u3} ι (HomologicalComplex.{u1, u2, u4} ι' V _inst_1 _inst_2 c') (HomologicalComplex.instCategoryHomologicalComplex.{u1, u2, u4} ι' V _inst_1 _inst_2 c') (HomologicalComplex.instHasZeroMorphismsHomologicalComplexInstCategoryHomologicalComplex.{u1, u2, u4} ι' V _inst_1 _inst_2 c') c) (HomologicalComplex.instCategoryHomologicalComplex.{max u1 u3, max (max u2 u1) u3, u4} ι' (HomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.instCategoryHomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.instHasZeroMorphismsHomologicalComplexInstCategoryHomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) c') (HomologicalComplex.instCategoryHomologicalComplex.{max u1 u4, max (max u2 u1) u4, u3} ι (HomologicalComplex.{u1, u2, u4} ι' V _inst_1 _inst_2 c') (HomologicalComplex.instCategoryHomologicalComplex.{u1, u2, u4} ι' V _inst_1 _inst_2 c') (HomologicalComplex.instHasZeroMorphismsHomologicalComplexInstCategoryHomologicalComplex.{u1, u2, u4} ι' V _inst_1 _inst_2 c') c)
-Case conversion may be inaccurate. Consider using '#align homological_complex.flip_equivalence HomologicalComplex.flipEquivalenceₓ'. -/
 /-- Flipping a complex of complexes over the diagonal, as an equivalence of categories. -/
 @[simps]
 def flipEquivalence :
Diff
@@ -46,16 +46,12 @@ def flipObj (C : HomologicalComplex (HomologicalComplex V c) c') :
   pt i :=
     { pt := fun j => (C.pt j).pt i
       d := fun j j' => (C.d j j').f i
-      shape' := fun j j' w => by
-        rw [C.shape j j' w]
-        simp
+      shape' := fun j j' w => by rw [C.shape j j' w]; simp
       d_comp_d' := fun j₁ j₂ j₃ _ _ => congr_hom (C.d_comp_d j₁ j₂ j₃) i }
   d i i' :=
     { f := fun j => (C.pt j).d i i'
       comm' := fun j j' h => ((C.d j j').comm i i').symm }
-  shape' i i' w := by
-    ext j
-    exact (C.X j).shape i i' w
+  shape' i i' w := by ext j; exact (C.X j).shape i i' w
 #align homological_complex.flip_obj HomologicalComplex.flipObj
 -/
 
@@ -85,20 +81,11 @@ def flipEquivalenceUnitIso :
     (fun C =>
       { Hom :=
           { f := fun i => { f := fun j => 𝟙 ((C.pt i).pt j) }
-            comm' := fun i j h => by
-              ext
-              dsimp
-              simp only [category.id_comp, category.comp_id] }
+            comm' := fun i j h => by ext; dsimp; simp only [category.id_comp, category.comp_id] }
         inv :=
           { f := fun i => { f := fun j => 𝟙 ((C.pt i).pt j) }
-            comm' := fun i j h => by
-              ext
-              dsimp
-              simp only [category.id_comp, category.comp_id] } })
-    fun X Y f => by
-    ext
-    dsimp
-    simp only [category.id_comp, category.comp_id]
+            comm' := fun i j h => by ext; dsimp; simp only [category.id_comp, category.comp_id] } })
+    fun X Y f => by ext; dsimp; simp only [category.id_comp, category.comp_id]
 #align homological_complex.flip_equivalence_unit_iso HomologicalComplex.flipEquivalenceUnitIso
 -/
 
@@ -111,20 +98,11 @@ def flipEquivalenceCounitIso :
     (fun C =>
       { Hom :=
           { f := fun i => { f := fun j => 𝟙 ((C.pt i).pt j) }
-            comm' := fun i j h => by
-              ext
-              dsimp
-              simp only [category.id_comp, category.comp_id] }
+            comm' := fun i j h => by ext; dsimp; simp only [category.id_comp, category.comp_id] }
         inv :=
           { f := fun i => { f := fun j => 𝟙 ((C.pt i).pt j) }
-            comm' := fun i j h => by
-              ext
-              dsimp
-              simp only [category.id_comp, category.comp_id] } })
-    fun X Y f => by
-    ext
-    dsimp
-    simp only [category.id_comp, category.comp_id]
+            comm' := fun i j h => by ext; dsimp; simp only [category.id_comp, category.comp_id] } })
+    fun X Y f => by ext; dsimp; simp only [category.id_comp, category.comp_id]
 #align homological_complex.flip_equivalence_counit_iso HomologicalComplex.flipEquivalenceCounitIso
 -/
 
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.flip
-! leanprover-community/mathlib commit ff511590476ef357b6132a45816adc120d5d7b1d
+! 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
 /-!
 # Flip a complex of complexes
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 For now we don't have double complexes as a distinct thing,
 but we can model them as complexes of complexes.
 
Diff
@@ -32,6 +32,7 @@ variable {V : Type u} [Category.{v} V] [HasZeroMorphisms V]
 
 variable {ι : Type _} {c : ComplexShape ι} {ι' : Type _} {c' : ComplexShape ι'}
 
+#print HomologicalComplex.flipObj /-
 /-- Flip a complex of complexes over the diagonal,
 exchanging the horizontal and vertical directions.
 -/
@@ -53,9 +54,11 @@ def flipObj (C : HomologicalComplex (HomologicalComplex V c) c') :
     ext j
     exact (C.X j).shape i i' w
 #align homological_complex.flip_obj HomologicalComplex.flipObj
+-/
 
 variable (V c c')
 
+#print HomologicalComplex.flip /-
 /-- Flipping a complex of complexes over the diagonal, as a functor. -/
 @[simps]
 def flip :
@@ -68,7 +71,9 @@ def flip :
         { f := fun j => (f.f j).f i
           comm' := fun j j' h => congr_hom (f.comm j j') i } }
 #align homological_complex.flip HomologicalComplex.flip
+-/
 
+#print HomologicalComplex.flipEquivalenceUnitIso /-
 /-- Auxiliary definition for `homological_complex.flip_equivalence` .-/
 @[simps]
 def flipEquivalenceUnitIso :
@@ -92,7 +97,9 @@ def flipEquivalenceUnitIso :
     dsimp
     simp only [category.id_comp, category.comp_id]
 #align homological_complex.flip_equivalence_unit_iso HomologicalComplex.flipEquivalenceUnitIso
+-/
 
+#print HomologicalComplex.flipEquivalenceCounitIso /-
 /-- Auxiliary definition for `homological_complex.flip_equivalence` .-/
 @[simps]
 def flipEquivalenceCounitIso :
@@ -116,7 +123,14 @@ def flipEquivalenceCounitIso :
     dsimp
     simp only [category.id_comp, category.comp_id]
 #align homological_complex.flip_equivalence_counit_iso HomologicalComplex.flipEquivalenceCounitIso
+-/
 
+/- warning: homological_complex.flip_equivalence -> HomologicalComplex.flipEquivalence 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) {ι' : Type.{u4}} (c' : ComplexShape.{u4} ι'), CategoryTheory.Equivalence.{max u4 u3 u1, max u3 u4 u1, max (max u2 u3 u1) u4 u3 u1, max (max u2 u4 u1) u3 u4 u1} (HomologicalComplex.{max u3 u1, max u2 u3 u1, u4} ι' (HomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.CategoryTheory.category.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.CategoryTheory.Limits.hasZeroMorphisms.{u1, u2, u3} ι V _inst_1 _inst_2 c) c') (HomologicalComplex.CategoryTheory.category.{max u3 u1, max u2 u3 u1, u4} ι' (HomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.CategoryTheory.category.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.CategoryTheory.Limits.hasZeroMorphisms.{u1, u2, u3} ι V _inst_1 _inst_2 c) c') (HomologicalComplex.{max u4 u1, max u2 u4 u1, u3} ι (HomologicalComplex.{u1, u2, u4} ι' V _inst_1 _inst_2 c') (HomologicalComplex.CategoryTheory.category.{u1, u2, u4} ι' V _inst_1 _inst_2 c') (HomologicalComplex.CategoryTheory.Limits.hasZeroMorphisms.{u1, u2, u4} ι' V _inst_1 _inst_2 c') c) (HomologicalComplex.CategoryTheory.category.{max u4 u1, max u2 u4 u1, u3} ι (HomologicalComplex.{u1, u2, u4} ι' V _inst_1 _inst_2 c') (HomologicalComplex.CategoryTheory.category.{u1, u2, u4} ι' V _inst_1 _inst_2 c') (HomologicalComplex.CategoryTheory.Limits.hasZeroMorphisms.{u1, u2, u4} ι' V _inst_1 _inst_2 c') 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) {ι' : Type.{u4}} (c' : ComplexShape.{u4} ι'), CategoryTheory.Equivalence.{max (max u1 u3) u4, max (max u1 u3) u4, max (max u4 (max u3 u2) u1) u1 u3, max (max u3 (max u4 u2) u1) u1 u4} (HomologicalComplex.{max u1 u3, max (max u3 u2) u1, u4} ι' (HomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.instCategoryHomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.instHasZeroMorphismsHomologicalComplexInstCategoryHomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) c') (HomologicalComplex.{max u1 u4, max (max u4 u2) u1, u3} ι (HomologicalComplex.{u1, u2, u4} ι' V _inst_1 _inst_2 c') (HomologicalComplex.instCategoryHomologicalComplex.{u1, u2, u4} ι' V _inst_1 _inst_2 c') (HomologicalComplex.instHasZeroMorphismsHomologicalComplexInstCategoryHomologicalComplex.{u1, u2, u4} ι' V _inst_1 _inst_2 c') c) (HomologicalComplex.instCategoryHomologicalComplex.{max u1 u3, max (max u2 u1) u3, u4} ι' (HomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.instCategoryHomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) (HomologicalComplex.instHasZeroMorphismsHomologicalComplexInstCategoryHomologicalComplex.{u1, u2, u3} ι V _inst_1 _inst_2 c) c') (HomologicalComplex.instCategoryHomologicalComplex.{max u1 u4, max (max u2 u1) u4, u3} ι (HomologicalComplex.{u1, u2, u4} ι' V _inst_1 _inst_2 c') (HomologicalComplex.instCategoryHomologicalComplex.{u1, u2, u4} ι' V _inst_1 _inst_2 c') (HomologicalComplex.instHasZeroMorphismsHomologicalComplexInstCategoryHomologicalComplex.{u1, u2, u4} ι' V _inst_1 _inst_2 c') c)
+Case conversion may be inaccurate. Consider using '#align homological_complex.flip_equivalence HomologicalComplex.flipEquivalenceₓ'. -/
 /-- Flipping a complex of complexes over the diagonal, as an equivalence of categories. -/
 @[simps]
 def flipEquivalence :
Diff
@@ -39,15 +39,15 @@ exchanging the horizontal and vertical directions.
 def flipObj (C : HomologicalComplex (HomologicalComplex V c) c') :
     HomologicalComplex (HomologicalComplex V c') c
     where
-  x i :=
-    { x := fun j => (C.x j).x i
+  pt i :=
+    { pt := fun j => (C.pt j).pt i
       d := fun j j' => (C.d j j').f i
       shape' := fun j j' w => by
         rw [C.shape j j' w]
         simp
       d_comp_d' := fun j₁ j₂ j₃ _ _ => congr_hom (C.d_comp_d j₁ j₂ j₃) i }
   d i i' :=
-    { f := fun j => (C.x j).d i i'
+    { f := fun j => (C.pt j).d i i'
       comm' := fun j j' h => ((C.d j j').comm i i').symm }
   shape' i i' w := by
     ext j
@@ -76,13 +76,13 @@ def flipEquivalenceUnitIso :
   NatIso.ofComponents
     (fun C =>
       { Hom :=
-          { f := fun i => { f := fun j => 𝟙 ((C.x i).x j) }
+          { f := fun i => { f := fun j => 𝟙 ((C.pt i).pt j) }
             comm' := fun i j h => by
               ext
               dsimp
               simp only [category.id_comp, category.comp_id] }
         inv :=
-          { f := fun i => { f := fun j => 𝟙 ((C.x i).x j) }
+          { f := fun i => { f := fun j => 𝟙 ((C.pt i).pt j) }
             comm' := fun i j h => by
               ext
               dsimp
@@ -100,13 +100,13 @@ def flipEquivalenceCounitIso :
   NatIso.ofComponents
     (fun C =>
       { Hom :=
-          { f := fun i => { f := fun j => 𝟙 ((C.x i).x j) }
+          { f := fun i => { f := fun j => 𝟙 ((C.pt i).pt j) }
             comm' := fun i j h => by
               ext
               dsimp
               simp only [category.id_comp, category.comp_id] }
         inv :=
-          { f := fun i => { f := fun j => 𝟙 ((C.x i).x j) }
+          { f := fun i => { f := fun j => 𝟙 ((C.pt i).pt j) }
             comm' := fun i j h => by
               ext
               dsimp

Changes in mathlib4

mathlib3
mathlib4
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.

Diff
@@ -63,7 +63,7 @@ def toGradedObjectFunctor : HomologicalComplex₂ C c₁ c₂ ⥤ GradedObject (
   obj K := K.toGradedObject
   map φ := toGradedObjectMap φ
 
-instance : Faithful (toGradedObjectFunctor C c₁ c₂) where
+instance : (toGradedObjectFunctor C c₁ c₂).Faithful where
   map_injective {_ _ φ₁ φ₂} h := by
     ext i₁ i₂
     exact congr_fun h ⟨i₁, i₂⟩
feat(Algebra/Homology): behaviour of the total complex with respect to the shifts (#10854)

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

Diff
@@ -203,4 +203,16 @@ def flipEquivalence :
   counitIso := flipEquivalenceCounitIso C c₁ c₂
 #align homological_complex.flip_equivalence HomologicalComplex₂.flipEquivalence
 
+variable (K : HomologicalComplex₂ C c₁ c₂)
+
+/-- The obvious isomorphism `(K.X x₁).X x₂ ≅ (K.X y₁).X y₂` when `x₁ = y₁` and `x₂ = y₂`. -/
+def XXIsoOfEq {x₁ y₁ : I₁} (h₁ : x₁ = y₁) {x₂ y₂ : I₂} (h₂ : x₂ = y₂) :
+    (K.X x₁).X x₂ ≅ (K.X y₁).X y₂ :=
+  eqToIso (by subst h₁ h₂; rfl)
+
+@[simp]
+lemma XXIsoOfEq_rfl (i₁ : I₁) (i₂ : I₂) :
+    K.XXIsoOfEq (rfl : i₁ = i₁) (rfl : i₂ = i₂) = Iso.refl _ := rfl
+
+
 end HomologicalComplex₂
feat(Algebra/Homology): the symmetry of the total complex (#10770)

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

Diff
@@ -158,6 +158,9 @@ def flip (K : HomologicalComplex₂ C c₁ c₂) : HomologicalComplex₂ C c₂
     exact (K.X j).shape i i' w
 #align homological_complex.flip_obj HomologicalComplex₂.flip
 
+@[simp]
+lemma flip_flip (K : HomologicalComplex₂ C c₁ c₂) : K.flip.flip = K := rfl
+
 variable (C c₁ c₂)
 
 /-- Flipping a complex of complexes over the diagonal, as a functor. -/
feat(Algebra/Homology): the action of a bifunctor on homological complexes (#10764)

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

Diff
@@ -68,6 +68,61 @@ instance : Faithful (toGradedObjectFunctor C c₁ c₂) where
     ext i₁ i₂
     exact congr_fun h ⟨i₁, i₂⟩
 
+section OfGradedObject
+
+variable (c₁ c₂)
+variable (X : GradedObject (I₁ × I₂) C)
+    (d₁ : ∀ (i₁ i₁' : I₁) (i₂ : I₂), X ⟨i₁, i₂⟩ ⟶ X ⟨i₁', i₂⟩)
+    (d₂ : ∀ (i₁ : I₁) (i₂ i₂' : I₂), X ⟨i₁, i₂⟩ ⟶ X ⟨i₁, i₂'⟩)
+    (shape₁ : ∀ (i₁ i₁' : I₁) (_ : ¬c₁.Rel i₁ i₁') (i₂ : I₂), d₁ i₁ i₁' i₂ = 0)
+    (shape₂ : ∀ (i₁ : I₁) (i₂ i₂' : I₂) (_ : ¬c₂.Rel i₂ i₂'), d₂ i₁ i₂ i₂' = 0)
+    (d₁_comp_d₁ : ∀ (i₁ i₁' i₁'' : I₁) (i₂ : I₂), d₁ i₁ i₁' i₂ ≫ d₁ i₁' i₁'' i₂ = 0)
+    (d₂_comp_d₂ : ∀ (i₁ : I₁) (i₂ i₂' i₂'' : I₂), d₂ i₁ i₂ i₂' ≫ d₂ i₁ i₂' i₂'' = 0)
+    (comm : ∀ (i₁ i₁' : I₁) (i₂ i₂' : I₂), d₁ i₁ i₁' i₂ ≫ d₂ i₁' i₂ i₂' =
+      d₂ i₁ i₂ i₂' ≫ d₁ i₁ i₁' i₂')
+
+/-- Constructor for bicomplexes taking as inputs a graded object, horizontal differentials
+and vertical differentials satisfying suitable relations. -/
+@[simps]
+def ofGradedObject :
+    HomologicalComplex₂ C c₁ c₂ where
+  X i₁ :=
+    { X := fun i₂ => X ⟨i₁, i₂⟩
+      d := fun i₂ i₂' => d₂ i₁ i₂ i₂'
+      shape := shape₂ i₁
+      d_comp_d' := by intros; apply d₂_comp_d₂ }
+  d i₁ i₁' :=
+    { f := fun i₂ => d₁ i₁ i₁' i₂
+      comm' := by intros; apply comm }
+  shape i₁ i₁' h := by
+    ext i₂
+    exact shape₁ i₁ i₁' h i₂
+  d_comp_d' i₁ i₁' i₁'' _ _ := by ext i₂; apply d₁_comp_d₁
+
+@[simp]
+lemma ofGradedObject_toGradedObject :
+    (ofGradedObject c₁ c₂ X d₁ d₂ shape₁ shape₂ d₁_comp_d₁ d₂_comp_d₂ comm).toGradedObject = X :=
+  rfl
+
+end OfGradedObject
+
+/-- Constructor for a morphism `K ⟶ L` in the category `HomologicalComplex₂ C c₁ c₂` which
+takes as inputs a morphism `f : K.toGradedObject ⟶ L.toGradedObject` and
+the compatibilites with both horizontal and vertical differentials. -/
+@[simps!]
+def homMk {K L : HomologicalComplex₂ C c₁ c₂}
+    (f : K.toGradedObject ⟶ L.toGradedObject)
+    (comm₁ : ∀ i₁ i₁' i₂, c₁.Rel i₁ i₁' →
+      f ⟨i₁, i₂⟩ ≫ (L.d i₁ i₁').f i₂ = (K.d i₁ i₁').f i₂ ≫ f ⟨i₁', i₂⟩)
+    (comm₂ : ∀ i₁ i₂ i₂', c₂.Rel i₂ i₂' →
+      f ⟨i₁, i₂⟩ ≫ (L.X i₁).d i₂ i₂' = (K.X i₁).d i₂ i₂' ≫ f ⟨i₁, i₂'⟩) : K ⟶ L where
+  f i₁ :=
+    { f := fun i₂ => f ⟨i₁, i₂⟩
+      comm' := comm₂ i₁ }
+  comm' i₁ i₁' h₁ := by
+    ext i₂
+    exact comm₁ i₁ i₁' i₂ h₁
+
 lemma shape_f (K : HomologicalComplex₂ C c₁ c₂) (i₁ i₁' : I₁) (h : ¬ c₁.Rel i₁ i₁') (i₂ : I₂) :
     (K.d i₁ i₁').f i₂ = 0 := by
   rw [K.shape _ _ h, zero_f]
feat(Algebra/Homology): the total complex functor (#10711)

In this PR, the construction of the total complex of a bicomplex is extended to a functor HomologicalComplex₂.totalFunctor : HomologicalComplex₂ C c₁ c₂ ⥤ HomologicalComplex C c₁₂.

Diff
@@ -47,6 +47,27 @@ def toGradedObject (K : HomologicalComplex₂ C c₁ c₂) :
     GradedObject (I₁ × I₂) C :=
   fun ⟨i₁, i₂⟩ => (K.X i₁).X i₂
 
+/-- The morphism of graded objects induced by a morphism of bicomplexes. -/
+def toGradedObjectMap {K L : HomologicalComplex₂ C c₁ c₂} (φ : K ⟶ L) :
+    K.toGradedObject ⟶ L.toGradedObject :=
+  fun ⟨i₁, i₂⟩ => (φ.f i₁).f i₂
+
+@[simp]
+lemma toGradedObjectMap_apply {K L : HomologicalComplex₂ C c₁ c₂} (φ : K ⟶ L) (i₁ : I₁) (i₂ : I₂) :
+    toGradedObjectMap φ ⟨i₁, i₂⟩ = (φ.f i₁).f i₂ := rfl
+
+variable (C c₁ c₂) in
+/-- The functor which sends a bicomplex to its associated graded object. -/
+@[simps]
+def toGradedObjectFunctor : HomologicalComplex₂ C c₁ c₂ ⥤ GradedObject (I₁ × I₂) C where
+  obj K := K.toGradedObject
+  map φ := toGradedObjectMap φ
+
+instance : Faithful (toGradedObjectFunctor C c₁ c₂) where
+  map_injective {_ _ φ₁ φ₂} h := by
+    ext i₁ i₂
+    exact congr_fun h ⟨i₁, i₂⟩
+
 lemma shape_f (K : HomologicalComplex₂ C c₁ c₂) (i₁ i₁' : I₁) (h : ¬ c₁.Rel i₁ i₁') (i₂ : I₂) :
     (K.d i₁ i₁').f i₂ = 0 := by
   rw [K.shape _ _ h, zero_f]
refactor(Algebra/Homology): the category of bicomplexes (#9333)

This PR introduces the abbreviation abbrev HomologicalComplex₂ := HomologicalComplex (HomologicalComplex C c₂) c₁ for bicomplexes. The content of the file Algebra.Homology.Flip is also moved to the new file Algebra.Homology.HomologicalBicomplex.

chore: bump to v4.3.0-rc2 (#8366)

PR contents

This is the supremum of

along with some minor fixes from failures on nightly-testing as Mathlib master is merged into it.

Note that some PRs for changes that are already compatible with the current toolchain and will be necessary have already been split out: #8380.

I am hopeful that in future we will be able to progressively merge adaptation PRs into a bump/v4.X.0 branch, so we never end up with a "big merge" like this. However one of these adaptation PRs (#8056) predates my new scheme for combined CI, and it wasn't possible to keep that PR viable in the meantime.

Lean PRs involved in this bump

In particular this includes adjustments for the Lean PRs

leanprover/lean4#2778

We can get rid of all the

local macro_rules | `($x ^ $y) => `(HPow.hPow $x $y) -- Porting note: See issue [lean4#2220](https://github.com/leanprover/lean4/pull/2220)

macros across Mathlib (and in any projects that want to write natural number powers of reals).

leanprover/lean4#2722

Changes the default behaviour of simp to (config := {decide := false}). This makes simp (and consequentially norm_num) less powerful, but also more consistent, and less likely to blow up in long failures. This requires a variety of changes: changing some previously by simp or norm_num to decide or rfl, or adding (config := {decide := true}).

leanprover/lean4#2783

This changed the behaviour of simp so that simp [f] will only unfold "fully applied" occurrences of f. The old behaviour can be recovered with simp (config := { unfoldPartialApp := true }). We may in future add a syntax for this, e.g. simp [!f]; please provide feedback! In the meantime, we have made the following changes:

  • switching to using explicit lemmas that have the intended level of application
  • (config := { unfoldPartialApp := true }) in some places, to recover the old behaviour
  • Using @[eqns] to manually adjust the equation lemmas for a particular definition, recovering the old behaviour just for that definition. See #8371, where we do this for Function.comp and Function.flip.

This change in Lean may require further changes down the line (e.g. adding the !f syntax, and/or upstreaming the special treatment for Function.comp and Function.flip, and/or removing this special treatment). Please keep an open and skeptical mind about these changes!

Co-authored-by: leanprover-community-mathlib4-bot <leanprover-community-mathlib4-bot@users.noreply.github.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Mauricio Collares <mauricio@collares.org>

Diff
@@ -39,7 +39,7 @@ def flipObj (C : HomologicalComplex (HomologicalComplex V c) c') :
     { X := fun j => (C.X j).X i
       d := fun j j' => (C.d j j').f i
       shape := fun j j' w => by
-        simp_all only [shape, zero_f]
+        simp_all only [not_false_eq_true, shape, zero_f]
       d_comp_d' := fun j₁ j₂ j₃ _ _ => congr_hom (C.d_comp_d j₁ j₂ j₃) i }
   d i i' :=
     { f := fun j => (C.X j).d i i'
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.

Diff
@@ -27,7 +27,7 @@ namespace HomologicalComplex
 
 variable {V : Type u} [Category.{v} V] [HasZeroMorphisms V]
 
-variable {ι : Type _} {c : ComplexShape ι} {ι' : Type _} {c' : ComplexShape ι'}
+variable {ι : Type*} {c : ComplexShape ι} {ι' : Type*} {c' : ComplexShape ι'}
 
 /-- Flip a complex of complexes over the diagonal,
 exchanging the horizontal and vertical directions.
chore: script to replace headers with #align_import statements (#5979)

Open in Gitpod

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

Diff
@@ -2,14 +2,11 @@
 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.flip
-! leanprover-community/mathlib commit ff511590476ef357b6132a45816adc120d5d7b1d
-! 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.flip from "leanprover-community/mathlib"@"ff511590476ef357b6132a45816adc120d5d7b1d"
+
 /-!
 # Flip a complex of complexes
 
chore: reenable eta, bump to nightly 2023-05-16 (#3414)

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

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

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

Diff
@@ -114,7 +114,6 @@ def flipEquivalenceCounitIso :
       simp only [Category.id_comp, Category.comp_id]
 #align homological_complex.flip_equivalence_counit_iso HomologicalComplex.flipEquivalenceCounitIso
 
-set_option maxHeartbeats 1000000 in -- Porting note: needed to avoid timeout
 /-- Flipping a complex of complexes over the diagonal, as an equivalence of categories. -/
 @[simps]
 def flipEquivalence :
Diff
@@ -42,7 +42,6 @@ def flipObj (C : HomologicalComplex (HomologicalComplex V c) c') :
     { X := fun j => (C.X j).X i
       d := fun j j' => (C.d j j').f i
       shape := fun j j' w => by
-        simp_rw [C.shape j j' w]
         simp_all only [shape, zero_f]
       d_comp_d' := fun j₁ j₂ j₃ _ _ => congr_hom (C.d_comp_d j₁ j₂ j₃) i }
   d i i' :=
feat: port Algebra.Homology.Flip (#3492)

Dependencies 3 + 299

300 files ported (99.0%)
120403 lines ported (99.1%)
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The unported dependencies are