algebra.homology.differential_objectMathlib.Algebra.Homology.DifferentialObject

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
@@ -91,9 +91,9 @@ def dgoToHomologicalComplex :
     { pt := fun i => X.pt i
       d := fun i j =>
         if h : i + b = j then X.d i ≫ X.objEqToHom (show i + (1 : ℤ) • b = j by simp [h]) else 0
-      shape' := fun i j w => by dsimp at w ; convert dif_neg w
+      shape' := fun i j w => by dsimp at w; convert dif_neg w
       d_comp_d' := fun i j k hij hjk => by
-        dsimp at hij hjk ; substs hij hjk
+        dsimp at hij hjk; substs hij hjk
         have : X.d i ≫ X.d _ = _ := (congr_fun X.d_squared i : _)
         reassoc! this
         simp [this] }
Diff
@@ -3,8 +3,8 @@ Copyright (c) 2021 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathbin.Algebra.Homology.HomologicalComplex
-import Mathbin.CategoryTheory.DifferentialObject
+import Algebra.Homology.HomologicalComplex
+import CategoryTheory.DifferentialObject
 
 #align_import algebra.homology.differential_object from "leanprover-community/mathlib"@"d0b1936853671209a866fa35b9e54949c81116e2"
 
Diff
@@ -2,15 +2,12 @@
 Copyright (c) 2021 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module algebra.homology.differential_object
-! leanprover-community/mathlib commit d0b1936853671209a866fa35b9e54949c81116e2
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Homology.HomologicalComplex
 import Mathbin.CategoryTheory.DifferentialObject
 
+#align_import algebra.homology.differential_object from "leanprover-community/mathlib"@"d0b1936853671209a866fa35b9e54949c81116e2"
+
 /-!
 # Homological complexes are differential graded objects.
 
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.differential_object
-! leanprover-community/mathlib commit b535c2d5d996acd9b0554b76395d9c920e186f4f
+! leanprover-community/mathlib commit d0b1936853671209a866fa35b9e54949c81116e2
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.CategoryTheory.DifferentialObject
 /-!
 # Homological complexes are differential graded objects.
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We verify that a `homological_complex` indexed by an `add_comm_group` is
 essentially the same thing as a differential graded object.
 
Diff
@@ -36,38 +36,51 @@ variable {β : Type _} [AddCommGroup β] {b : β}
 
 variable {V : Type _} [Category V] [HasZeroMorphisms V]
 
+#print CategoryTheory.DifferentialObject.objEqToHom /-
 /-- Since `eq_to_hom` only preserves the fact that `X.X i = X.X j` but not `i = j`, this definition
 is used to aid the simplifier. -/
-abbrev CategoryTheory.DifferentialObject.xEqToHom
+abbrev CategoryTheory.DifferentialObject.objEqToHom
     (X : DifferentialObject (GradedObjectWithShift b V)) {i j : β} (h : i = j) : X.pt i ⟶ X.pt j :=
   eqToHom (congr_arg X.pt h)
-#align category_theory.differential_object.X_eq_to_hom CategoryTheory.DifferentialObject.xEqToHom
+#align category_theory.differential_object.X_eq_to_hom CategoryTheory.DifferentialObject.objEqToHom
+-/
 
+#print CategoryTheory.DifferentialObject.objEqToHom_refl /-
 @[simp]
-theorem CategoryTheory.DifferentialObject.xEqToHom_refl
-    (X : DifferentialObject (GradedObjectWithShift b V)) (i : β) : X.xEqToHom (refl i) = 𝟙 _ :=
+theorem CategoryTheory.DifferentialObject.objEqToHom_refl
+    (X : DifferentialObject (GradedObjectWithShift b V)) (i : β) : X.objEqToHom (refl i) = 𝟙 _ :=
   rfl
-#align category_theory.differential_object.X_eq_to_hom_refl CategoryTheory.DifferentialObject.xEqToHom_refl
+#align category_theory.differential_object.X_eq_to_hom_refl CategoryTheory.DifferentialObject.objEqToHom_refl
+-/
 
+#print CategoryTheory.DifferentialObject.objEqToHom_d /-
 @[simp, reassoc]
-theorem eq_to_hom_d (X : DifferentialObject (GradedObjectWithShift b V)) {x y : β} (h : x = y) :
-    X.xEqToHom h ≫ X.d y = X.d x ≫ X.xEqToHom (by cases h; rfl) := by cases h; dsimp; simp
-#align homological_complex.eq_to_hom_d HomologicalComplex.eq_to_hom_d
+theorem CategoryTheory.DifferentialObject.objEqToHom_d
+    (X : DifferentialObject (GradedObjectWithShift b V)) {x y : β} (h : x = y) :
+    X.objEqToHom h ≫ X.d y = X.d x ≫ X.objEqToHom (by cases h; rfl) := by cases h; dsimp; simp
+#align homological_complex.eq_to_hom_d CategoryTheory.DifferentialObject.objEqToHom_d
+-/
 
+#print HomologicalComplex.d_eqToHom /-
 @[simp, reassoc]
 theorem d_eqToHom (X : HomologicalComplex V (ComplexShape.up' b)) {x y z : β} (h : y = z) :
     X.d x y ≫ eqToHom (congr_arg X.pt h) = X.d x z := by cases h; simp
 #align homological_complex.d_eq_to_hom HomologicalComplex.d_eqToHom
+-/
 
+#print CategoryTheory.DifferentialObject.eqToHom_f' /-
 @[simp, reassoc]
-theorem eq_to_hom_f' {X Y : DifferentialObject (GradedObjectWithShift b V)} (f : X ⟶ Y) {x y : β}
-    (h : x = y) : X.xEqToHom h ≫ f.f y = f.f x ≫ Y.xEqToHom h := by cases h; simp
-#align homological_complex.eq_to_hom_f' HomologicalComplex.eq_to_hom_f'
+theorem CategoryTheory.DifferentialObject.eqToHom_f'
+    {X Y : DifferentialObject (GradedObjectWithShift b V)} (f : X ⟶ Y) {x y : β} (h : x = y) :
+    X.objEqToHom h ≫ f.f y = f.f x ≫ Y.objEqToHom h := by cases h; simp
+#align homological_complex.eq_to_hom_f' CategoryTheory.DifferentialObject.eqToHom_f'
+-/
 
 variable (b V)
 
 attribute [local reducible] graded_object.has_shift
 
+#print HomologicalComplex.dgoToHomologicalComplex /-
 /-- The functor from differential graded objects to homological complexes.
 -/
 @[simps]
@@ -77,7 +90,7 @@ def dgoToHomologicalComplex :
   obj X :=
     { pt := fun i => X.pt i
       d := fun i j =>
-        if h : i + b = j then X.d i ≫ X.xEqToHom (show i + (1 : ℤ) • b = j by simp [h]) else 0
+        if h : i + b = j then X.d i ≫ X.objEqToHom (show i + (1 : ℤ) • b = j by simp [h]) else 0
       shape' := fun i j w => by dsimp at w ; convert dif_neg w
       d_comp_d' := fun i j k hij hjk => by
         dsimp at hij hjk ; substs hij hjk
@@ -94,11 +107,13 @@ def dgoToHomologicalComplex :
         simp only [category.comp_id, eq_to_hom_refl, dif_pos rfl, this, category.assoc,
           eq_to_hom_f'] }
 #align homological_complex.dgo_to_homological_complex HomologicalComplex.dgoToHomologicalComplex
+-/
 
+#print HomologicalComplex.homologicalComplexToDGO /-
 /-- The functor from homological complexes to differential graded objects.
 -/
 @[simps]
-def homologicalComplexToDgo :
+def homologicalComplexToDGO :
     HomologicalComplex V (ComplexShape.up' b) ⥤ DifferentialObject (GradedObjectWithShift b V)
     where
   obj X :=
@@ -108,26 +123,30 @@ def homologicalComplexToDgo :
   map X Y f :=
     { f := f.f
       comm' := by ext i; dsimp; simp }
-#align homological_complex.homological_complex_to_dgo HomologicalComplex.homologicalComplexToDgo
+#align homological_complex.homological_complex_to_dgo HomologicalComplex.homologicalComplexToDGO
+-/
 
+#print HomologicalComplex.dgoEquivHomologicalComplexUnitIso /-
 /-- The unit isomorphism for `dgo_equiv_homological_complex`.
 -/
 @[simps]
 def dgoEquivHomologicalComplexUnitIso :
     𝟭 (DifferentialObject (GradedObjectWithShift b V)) ≅
-      dgoToHomologicalComplex b V ⋙ homologicalComplexToDgo b V :=
+      dgoToHomologicalComplex b V ⋙ homologicalComplexToDGO b V :=
   NatIso.ofComponents
     (fun X =>
       { Hom := { f := fun i => 𝟙 (X.pt i) }
         inv := { f := fun i => 𝟙 (X.pt i) } })
     (by tidy)
 #align homological_complex.dgo_equiv_homological_complex_unit_iso HomologicalComplex.dgoEquivHomologicalComplexUnitIso
+-/
 
+#print HomologicalComplex.dgoEquivHomologicalComplexCounitIso /-
 /-- The counit isomorphism for `dgo_equiv_homological_complex`.
 -/
 @[simps]
 def dgoEquivHomologicalComplexCounitIso :
-    homologicalComplexToDgo b V ⋙ dgoToHomologicalComplex b V ≅
+    homologicalComplexToDGO b V ⋙ dgoToHomologicalComplex b V ≅
       𝟭 (HomologicalComplex V (ComplexShape.up' b)) :=
   NatIso.ofComponents
     (fun X =>
@@ -145,7 +164,9 @@ def dgoEquivHomologicalComplexCounitIso :
               simp } })
     (by tidy)
 #align homological_complex.dgo_equiv_homological_complex_counit_iso HomologicalComplex.dgoEquivHomologicalComplexCounitIso
+-/
 
+#print HomologicalComplex.dgoEquivHomologicalComplex /-
 /-- The category of differential graded objects in `V` is equivalent
 to the category of homological complexes in `V`.
 -/
@@ -154,10 +175,11 @@ def dgoEquivHomologicalComplex :
     DifferentialObject (GradedObjectWithShift b V) ≌ HomologicalComplex V (ComplexShape.up' b)
     where
   Functor := dgoToHomologicalComplex b V
-  inverse := homologicalComplexToDgo b V
+  inverse := homologicalComplexToDGO b V
   unitIso := dgoEquivHomologicalComplexUnitIso b V
   counitIso := dgoEquivHomologicalComplexCounitIso b V
 #align homological_complex.dgo_equiv_homological_complex HomologicalComplex.dgoEquivHomologicalComplex
+-/
 
 end HomologicalComplex
 
Diff
@@ -78,16 +78,16 @@ def dgoToHomologicalComplex :
     { pt := fun i => X.pt i
       d := fun i j =>
         if h : i + b = j then X.d i ≫ X.xEqToHom (show i + (1 : ℤ) • b = j by simp [h]) else 0
-      shape' := fun i j w => by dsimp at w; convert dif_neg w
+      shape' := fun i j w => by dsimp at w ; convert dif_neg w
       d_comp_d' := fun i j k hij hjk => by
-        dsimp at hij hjk; substs hij hjk
+        dsimp at hij hjk ; substs hij hjk
         have : X.d i ≫ X.d _ = _ := (congr_fun X.d_squared i : _)
         reassoc! this
         simp [this] }
   map X Y f :=
     { f := f.f
       comm' := fun i j h => by
-        dsimp at h⊢
+        dsimp at h ⊢
         subst h
         have : f.f i ≫ Y.d i = X.d i ≫ f.f (i + 1 • b) := (congr_fun f.comm i).symm
         reassoc! this
@@ -134,13 +134,13 @@ def dgoEquivHomologicalComplexCounitIso :
       { Hom :=
           { f := fun i => 𝟙 (X.pt i)
             comm' := fun i j h => by
-              dsimp at h⊢; subst h
+              dsimp at h ⊢; subst h
               delta homological_complex_to_dgo
               simp }
         inv :=
           { f := fun i => 𝟙 (X.pt i)
             comm' := fun i j h => by
-              dsimp at h⊢; subst h
+              dsimp at h ⊢; subst h
               delta homological_complex_to_dgo
               simp } })
     (by tidy)
Diff
@@ -26,7 +26,7 @@ open CategoryTheory
 
 open CategoryTheory.Limits
 
-open Classical
+open scoped Classical
 
 noncomputable section
 
Diff
@@ -51,32 +51,17 @@ theorem CategoryTheory.DifferentialObject.xEqToHom_refl
 
 @[simp, reassoc]
 theorem eq_to_hom_d (X : DifferentialObject (GradedObjectWithShift b V)) {x y : β} (h : x = y) :
-    X.xEqToHom h ≫ X.d y =
-      X.d x ≫
-        X.xEqToHom
-          (by
-            cases h
-            rfl) :=
-  by
-  cases h
-  dsimp
-  simp
+    X.xEqToHom h ≫ X.d y = X.d x ≫ X.xEqToHom (by cases h; rfl) := by cases h; dsimp; simp
 #align homological_complex.eq_to_hom_d HomologicalComplex.eq_to_hom_d
 
 @[simp, reassoc]
 theorem d_eqToHom (X : HomologicalComplex V (ComplexShape.up' b)) {x y z : β} (h : y = z) :
-    X.d x y ≫ eqToHom (congr_arg X.pt h) = X.d x z :=
-  by
-  cases h
-  simp
+    X.d x y ≫ eqToHom (congr_arg X.pt h) = X.d x z := by cases h; simp
 #align homological_complex.d_eq_to_hom HomologicalComplex.d_eqToHom
 
 @[simp, reassoc]
 theorem eq_to_hom_f' {X Y : DifferentialObject (GradedObjectWithShift b V)} (f : X ⟶ Y) {x y : β}
-    (h : x = y) : X.xEqToHom h ≫ f.f y = f.f x ≫ Y.xEqToHom h :=
-  by
-  cases h
-  simp
+    (h : x = y) : X.xEqToHom h ≫ f.f y = f.f x ≫ Y.xEqToHom h := by cases h; simp
 #align homological_complex.eq_to_hom_f' HomologicalComplex.eq_to_hom_f'
 
 variable (b V)
@@ -93,9 +78,7 @@ def dgoToHomologicalComplex :
     { pt := fun i => X.pt i
       d := fun i j =>
         if h : i + b = j then X.d i ≫ X.xEqToHom (show i + (1 : ℤ) • b = j by simp [h]) else 0
-      shape' := fun i j w => by
-        dsimp at w
-        convert dif_neg w
+      shape' := fun i j w => by dsimp at w; convert dif_neg w
       d_comp_d' := fun i j k hij hjk => by
         dsimp at hij hjk; substs hij hjk
         have : X.d i ≫ X.d _ = _ := (congr_fun X.d_squared i : _)
@@ -121,16 +104,10 @@ def homologicalComplexToDgo :
   obj X :=
     { pt := fun i => X.pt i
       d := fun i => X.d i (i + 1 • b)
-      d_squared' := by
-        ext i
-        dsimp
-        simp }
+      d_squared' := by ext i; dsimp; simp }
   map X Y f :=
     { f := f.f
-      comm' := by
-        ext i
-        dsimp
-        simp }
+      comm' := by ext i; dsimp; simp }
 #align homological_complex.homological_complex_to_dgo HomologicalComplex.homologicalComplexToDgo
 
 /-- The unit isomorphism for `dgo_equiv_homological_complex`.
Diff
@@ -49,7 +49,7 @@ theorem CategoryTheory.DifferentialObject.xEqToHom_refl
   rfl
 #align category_theory.differential_object.X_eq_to_hom_refl CategoryTheory.DifferentialObject.xEqToHom_refl
 
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem eq_to_hom_d (X : DifferentialObject (GradedObjectWithShift b V)) {x y : β} (h : x = y) :
     X.xEqToHom h ≫ X.d y =
       X.d x ≫
@@ -63,7 +63,7 @@ theorem eq_to_hom_d (X : DifferentialObject (GradedObjectWithShift b V)) {x y :
   simp
 #align homological_complex.eq_to_hom_d HomologicalComplex.eq_to_hom_d
 
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem d_eqToHom (X : HomologicalComplex V (ComplexShape.up' b)) {x y z : β} (h : y = z) :
     X.d x y ≫ eqToHom (congr_arg X.pt h) = X.d x z :=
   by
@@ -71,7 +71,7 @@ theorem d_eqToHom (X : HomologicalComplex V (ComplexShape.up' b)) {x y z : β} (
   simp
 #align homological_complex.d_eq_to_hom HomologicalComplex.d_eqToHom
 
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem eq_to_hom_f' {X Y : DifferentialObject (GradedObjectWithShift b V)} (f : X ⟶ Y) {x y : β}
     (h : x = y) : X.xEqToHom h ≫ f.f y = f.f x ≫ Y.xEqToHom h :=
   by
Diff
@@ -39,8 +39,8 @@ variable {V : Type _} [Category V] [HasZeroMorphisms V]
 /-- Since `eq_to_hom` only preserves the fact that `X.X i = X.X j` but not `i = j`, this definition
 is used to aid the simplifier. -/
 abbrev CategoryTheory.DifferentialObject.xEqToHom
-    (X : DifferentialObject (GradedObjectWithShift b V)) {i j : β} (h : i = j) : X.x i ⟶ X.x j :=
-  eqToHom (congr_arg X.x h)
+    (X : DifferentialObject (GradedObjectWithShift b V)) {i j : β} (h : i = j) : X.pt i ⟶ X.pt j :=
+  eqToHom (congr_arg X.pt h)
 #align category_theory.differential_object.X_eq_to_hom CategoryTheory.DifferentialObject.xEqToHom
 
 @[simp]
@@ -65,7 +65,7 @@ theorem eq_to_hom_d (X : DifferentialObject (GradedObjectWithShift b V)) {x y :
 
 @[simp, reassoc.1]
 theorem d_eqToHom (X : HomologicalComplex V (ComplexShape.up' b)) {x y z : β} (h : y = z) :
-    X.d x y ≫ eqToHom (congr_arg X.x h) = X.d x z :=
+    X.d x y ≫ eqToHom (congr_arg X.pt h) = X.d x z :=
   by
   cases h
   simp
@@ -90,7 +90,7 @@ def dgoToHomologicalComplex :
     DifferentialObject (GradedObjectWithShift b V) ⥤ HomologicalComplex V (ComplexShape.up' b)
     where
   obj X :=
-    { x := fun i => X.x i
+    { pt := fun i => X.pt i
       d := fun i j =>
         if h : i + b = j then X.d i ≫ X.xEqToHom (show i + (1 : ℤ) • b = j by simp [h]) else 0
       shape' := fun i j w => by
@@ -119,7 +119,7 @@ def homologicalComplexToDgo :
     HomologicalComplex V (ComplexShape.up' b) ⥤ DifferentialObject (GradedObjectWithShift b V)
     where
   obj X :=
-    { x := fun i => X.x i
+    { pt := fun i => X.pt i
       d := fun i => X.d i (i + 1 • b)
       d_squared' := by
         ext i
@@ -141,8 +141,8 @@ def dgoEquivHomologicalComplexUnitIso :
       dgoToHomologicalComplex b V ⋙ homologicalComplexToDgo b V :=
   NatIso.ofComponents
     (fun X =>
-      { Hom := { f := fun i => 𝟙 (X.x i) }
-        inv := { f := fun i => 𝟙 (X.x i) } })
+      { Hom := { f := fun i => 𝟙 (X.pt i) }
+        inv := { f := fun i => 𝟙 (X.pt i) } })
     (by tidy)
 #align homological_complex.dgo_equiv_homological_complex_unit_iso HomologicalComplex.dgoEquivHomologicalComplexUnitIso
 
@@ -155,13 +155,13 @@ def dgoEquivHomologicalComplexCounitIso :
   NatIso.ofComponents
     (fun X =>
       { Hom :=
-          { f := fun i => 𝟙 (X.x i)
+          { f := fun i => 𝟙 (X.pt i)
             comm' := fun i j h => by
               dsimp at h⊢; subst h
               delta homological_complex_to_dgo
               simp }
         inv :=
-          { f := fun i => 𝟙 (X.x i)
+          { f := fun i => 𝟙 (X.pt i)
             comm' := fun i j h => by
               dsimp at h⊢; subst h
               delta homological_complex_to_dgo

Changes in mathlib4

mathlib3
mathlib4
chore: remove more autoImplicit (#11336)

... or reduce its scope (the full removal is not as obvious).

Diff
@@ -18,9 +18,6 @@ This equivalence is probably not particularly useful in practice;
 it's here to check that definitions match up as expected.
 -/
 
-set_option autoImplicit true
-
-
 open CategoryTheory CategoryTheory.Limits
 
 open scoped Classical
@@ -58,7 +55,7 @@ theorem objEqToHom_d {x y : β} (h : x = y) :
 #align homological_complex.eq_to_hom_d CategoryTheory.DifferentialObject.objEqToHom_d
 
 @[reassoc (attr := simp)]
-theorem d_squared_apply : X.d x ≫ X.d _ = 0 := congr_fun X.d_squared _
+theorem d_squared_apply {x : β} : X.d x ≫ X.d _ = 0 := congr_fun X.d_squared _
 
 @[reassoc (attr := simp)]
 theorem eqToHom_f' {X Y : DifferentialObject ℤ (GradedObjectWithShift b V)} (f : X ⟶ Y) {x y : β}
chore: update/remove heart beat bumps (#6860)

We clean up heart beat bumps after #6474.

Diff
@@ -82,7 +82,7 @@ theorem d_eqToHom (X : HomologicalComplex V (ComplexShape.up' b)) {x y z : β} (
     X.d x y ≫ eqToHom (congr_arg X.X h) = X.d x z := by cases h; simp
 #align homological_complex.d_eq_to_hom HomologicalComplex.d_eqToHom
 
-set_option maxHeartbeats 800000 in
+set_option maxHeartbeats 400000 in
 /-- The functor from differential graded objects to homological complexes.
 -/
 @[simps]
fix: disable autoImplicit globally (#6528)

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

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

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

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

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

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

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

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

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

Diff
@@ -18,6 +18,8 @@ This equivalence is probably not particularly useful in practice;
 it's here to check that definitions match up as expected.
 -/
 
+set_option autoImplicit true
+
 
 open CategoryTheory CategoryTheory.Limits
 
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
@@ -32,8 +32,8 @@ Porting note: after the port, move these to their own file.
 -/
 namespace CategoryTheory.DifferentialObject
 
-variable {β : Type _} [AddCommGroup β] {b : β}
-variable {V : Type _} [Category V] [HasZeroMorphisms V]
+variable {β : Type*} [AddCommGroup β] {b : β}
+variable {V : Type*} [Category V] [HasZeroMorphisms V]
 variable (X : DifferentialObject ℤ (GradedObjectWithShift b V))
 
 /-- Since `eqToHom` only preserves the fact that `X.X i = X.X j` but not `i = j`, this definition
@@ -69,8 +69,8 @@ open CategoryTheory.DifferentialObject
 
 namespace HomologicalComplex
 
-variable {β : Type _} [AddCommGroup β] (b : β)
-variable (V : Type _) [Category V] [HasZeroMorphisms V]
+variable {β : Type*} [AddCommGroup β] (b : β)
+variable (V : Type*) [Category V] [HasZeroMorphisms V]
 
 -- Porting note: this should be moved to an earlier file.
 -- Porting note: simpNF linter silenced, both `d_eqToHom` and its `_assoc` version
feat: (co/bi/)products unchanged by reindexing and isomorphism of factors (#6259)

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

Diff
@@ -100,8 +100,7 @@ def dgoToHomologicalComplex :
       comm' := fun i j h => by
         dsimp at h ⊢
         subst h
-        simp [Category.comp_id, eqToHom_refl, dif_pos rfl, Category.assoc,
-          eqToHom_f']
+        simp only [dite_true, Category.assoc, eqToHom_f']
         -- Porting note: this `rw` used to be part of the `simp`.
         have : f.f i ≫ Y.d i = X.d i ≫ f.f _ := (congr_fun f.comm i).symm
         rw [reassoc_of% this] }
@@ -146,7 +145,7 @@ to the category of homological complexes in `V`.
 -/
 @[simps]
 def dgoEquivHomologicalComplex :
-    DifferentialObject ℤ (GradedObjectWithShift b V) ≌ 
+    DifferentialObject ℤ (GradedObjectWithShift b V) ≌
       HomologicalComplex V (ComplexShape.up' b) where
   functor := dgoToHomologicalComplex b V
   inverse := homologicalComplexToDGO b V
feat: allow differential objects with shifts in an AddMonoidWithOne (#6246)

What I was really hoping to do was show that ℕ-graded DGOs were the same as ℕ-graded chain complexes (we have the ℤ version), but this still seems awkward. If anyone would like to help with that, please let me know. I think this might be helpful in constructor tensor products of chain complexes with less suffering.

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

Diff
@@ -34,7 +34,7 @@ namespace CategoryTheory.DifferentialObject
 
 variable {β : Type _} [AddCommGroup β] {b : β}
 variable {V : Type _} [Category V] [HasZeroMorphisms V]
-variable (X : DifferentialObject (GradedObjectWithShift b V))
+variable (X : DifferentialObject ℤ (GradedObjectWithShift b V))
 
 /-- Since `eqToHom` only preserves the fact that `X.X i = X.X j` but not `i = j`, this definition
 is used to aid the simplifier. -/
@@ -59,7 +59,7 @@ theorem objEqToHom_d {x y : β} (h : x = y) :
 theorem d_squared_apply : X.d x ≫ X.d _ = 0 := congr_fun X.d_squared _
 
 @[reassoc (attr := simp)]
-theorem eqToHom_f' {X Y : DifferentialObject (GradedObjectWithShift b V)} (f : X ⟶ Y) {x y : β}
+theorem eqToHom_f' {X Y : DifferentialObject ℤ (GradedObjectWithShift b V)} (f : X ⟶ Y) {x y : β}
     (h : x = y) : X.objEqToHom h ≫ f.f y = f.f x ≫ Y.objEqToHom h := by cases h; simp
 #align homological_complex.eq_to_hom_f' CategoryTheory.DifferentialObject.eqToHom_f'
 
@@ -85,7 +85,7 @@ set_option maxHeartbeats 800000 in
 -/
 @[simps]
 def dgoToHomologicalComplex :
-    DifferentialObject (GradedObjectWithShift b V) ⥤
+    DifferentialObject ℤ (GradedObjectWithShift b V) ⥤
       HomologicalComplex V (ComplexShape.up' b) where
   obj X :=
     { X := fun i => X.obj i
@@ -112,7 +112,7 @@ def dgoToHomologicalComplex :
 @[simps]
 def homologicalComplexToDGO :
     HomologicalComplex V (ComplexShape.up' b) ⥤
-      DifferentialObject (GradedObjectWithShift b V) where
+      DifferentialObject ℤ (GradedObjectWithShift b V) where
   obj X :=
     { obj := fun i => X.X i
       d := fun i => X.d i _ }
@@ -123,7 +123,7 @@ def homologicalComplexToDGO :
 -/
 @[simps!]
 def dgoEquivHomologicalComplexUnitIso :
-    𝟭 (DifferentialObject (GradedObjectWithShift b V)) ≅
+    𝟭 (DifferentialObject ℤ (GradedObjectWithShift b V)) ≅
       dgoToHomologicalComplex b V ⋙ homologicalComplexToDGO b V :=
   NatIso.ofComponents (fun X =>
     { hom := { f := fun i => 𝟙 (X.obj i) }
@@ -146,7 +146,8 @@ to the category of homological complexes in `V`.
 -/
 @[simps]
 def dgoEquivHomologicalComplex :
-    DifferentialObject (GradedObjectWithShift b V) ≌ HomologicalComplex V (ComplexShape.up' b) where
+    DifferentialObject ℤ (GradedObjectWithShift b V) ≌ 
+      HomologicalComplex V (ComplexShape.up' b) where
   functor := dgoToHomologicalComplex b V
   inverse := homologicalComplexToDGO b V
   unitIso := dgoEquivHomologicalComplexUnitIso b V
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
@@ -2,15 +2,12 @@
 Copyright (c) 2021 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module algebra.homology.differential_object
-! leanprover-community/mathlib commit b535c2d5d996acd9b0554b76395d9c920e186f4f
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Homology.HomologicalComplex
 import Mathlib.CategoryTheory.DifferentialObject
 
+#align_import algebra.homology.differential_object from "leanprover-community/mathlib"@"b535c2d5d996acd9b0554b76395d9c920e186f4f"
+
 /-!
 # Homological complexes are differential graded objects.
 
chore: remove occurrences of semicolon after space (#5713)

This is the second half of the changes originally in #5699, removing all occurrences of ; after a space and implementing a linter rule to enforce it.

In most cases this 2-character substring has a space after it, so the following command was run first:

find . -type f -name "*.lean" -exec sed -i -E 's/ ; /; /g' {} \;

The remaining cases were few enough in number that they were done manually.

Diff
@@ -94,9 +94,9 @@ def dgoToHomologicalComplex :
     { X := fun i => X.obj i
       d := fun i j =>
         if h : i + b = j then X.d i ≫ X.objEqToHom (show i + (1 : ℤ) • b = j by simp [h]) else 0
-      shape := fun i j w => by dsimp at w ; convert dif_neg w
+      shape := fun i j w => by dsimp at w; convert dif_neg w
       d_comp_d' := fun i j k hij hjk => by
-        dsimp at hij hjk ; substs hij hjk
+        dsimp at hij hjk; substs hij hjk
         simp }
   map {X Y} f :=
     { f := f.f
feat: port Algebra.Homology.DifferentialObject (#5033)

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

Dependencies 3 + 300

301 files ported (99.0%)
120747 lines ported (99.1%)
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The unported dependencies are