category_theory.preadditive.of_biproducts

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

061ea99a

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

93287238

bump to nightly-2024-01-17-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

8ba88f37

Diff

@@ -93,8 +93,8 @@ def addCommMonoidHomOfHasBinaryBiproducts : AddCommMonoid (X ⟶ Y)
   add_assoc :=
     (EckmannHilton.mul_assoc (isUnital_leftAdd X Y) (isUnital_rightAdd X Y) (distrib X Y)).and_assoc
   zero := 0
-  zero_add := (isUnital_rightAdd X Y).left_id
-  add_zero := (isUnital_rightAdd X Y).right_id
+  zero_add := (isUnital_rightAdd X Y).id_comp
+  add_zero := (isUnital_rightAdd X Y).comp_id
   add_comm :=
     (EckmannHilton.mul_comm (isUnital_leftAdd X Y) (isUnital_rightAdd X Y) (distrib X Y)).comm
 #align category_theory.semiadditive_of_binary_biproducts.add_comm_monoid_hom_of_has_binary_biproducts CategoryTheory.SemiadditiveOfBinaryBiproducts.addCommMonoidHomOfHasBinaryBiproducts

93287238

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2022 Markus Himmel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Markus Himmel
 -/
-import Mathbin.CategoryTheory.Limits.Shapes.Biproducts
-import Mathbin.GroupTheory.EckmannHilton
+import CategoryTheory.Limits.Shapes.Biproducts
+import GroupTheory.EckmannHilton
 
 #align_import category_theory.preadditive.of_biproducts from "leanprover-community/mathlib"@"932872382355f00112641d305ba0619305dc8642"

93287238

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2022 Markus Himmel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Markus Himmel
-
-! This file was ported from Lean 3 source module category_theory.preadditive.of_biproducts
-! leanprover-community/mathlib commit 932872382355f00112641d305ba0619305dc8642
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Limits.Shapes.Biproducts
 import Mathbin.GroupTheory.EckmannHilton
 
+#align_import category_theory.preadditive.of_biproducts from "leanprover-community/mathlib"@"932872382355f00112641d305ba0619305dc8642"
+
 /-!
 # Constructing a semiadditive structure from binary biproducts

93287238

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -57,10 +57,8 @@ def rightAdd (f g : X ⟶ Y) : X ⟶ Y :=
 #align category_theory.semiadditive_of_binary_biproducts.right_add CategoryTheory.SemiadditiveOfBinaryBiproducts.rightAdd
 -/
 
--- mathport name: «expr +ₗ »
 local infixr:65 " +ₗ " => leftAdd X Y
 
--- mathport name: «expr +ᵣ »
 local infixr:65 " +ᵣ " => rightAdd X Y
 
 #print CategoryTheory.SemiadditiveOfBinaryBiproducts.isUnital_leftAdd /-
@@ -113,22 +111,30 @@ variable {X Y Z : C}
 
 attribute [local instance] add_comm_monoid_hom_of_has_binary_biproducts
 
+#print CategoryTheory.SemiadditiveOfBinaryBiproducts.add_eq_right_addition /-
 theorem add_eq_right_addition (f g : X ⟶ Y) : f + g = biprod.lift (𝟙 X) (𝟙 X) ≫ biprod.desc f g :=
   rfl
 #align category_theory.semiadditive_of_binary_biproducts.add_eq_right_addition CategoryTheory.SemiadditiveOfBinaryBiproducts.add_eq_right_addition
+-/
 
+#print CategoryTheory.SemiadditiveOfBinaryBiproducts.add_eq_left_addition /-
 theorem add_eq_left_addition (f g : X ⟶ Y) : f + g = biprod.lift f g ≫ biprod.desc (𝟙 Y) (𝟙 Y) :=
   congr_fun₂ (EckmannHilton.mul (isUnital_leftAdd X Y) (isUnital_rightAdd X Y) (distrib X Y)).symm f
     g
 #align category_theory.semiadditive_of_binary_biproducts.add_eq_left_addition CategoryTheory.SemiadditiveOfBinaryBiproducts.add_eq_left_addition
+-/
 
+#print CategoryTheory.SemiadditiveOfBinaryBiproducts.add_comp /-
 theorem add_comp (f g : X ⟶ Y) (h : Y ⟶ Z) : (f + g) ≫ h = f ≫ h + g ≫ h := by
   simp only [add_eq_right_addition, category.assoc]; congr; ext <;> simp
 #align category_theory.semiadditive_of_binary_biproducts.add_comp CategoryTheory.SemiadditiveOfBinaryBiproducts.add_comp
+-/
 
+#print CategoryTheory.SemiadditiveOfBinaryBiproducts.comp_add /-
 theorem comp_add (f : X ⟶ Y) (g h : Y ⟶ Z) : f ≫ (g + h) = f ≫ g + f ≫ h := by
   simp only [add_eq_left_addition, ← category.assoc]; congr; ext <;> simp
 #align category_theory.semiadditive_of_binary_biproducts.comp_add CategoryTheory.SemiadditiveOfBinaryBiproducts.comp_add
+-/
 
 end

93287238

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -123,11 +123,11 @@ theorem add_eq_left_addition (f g : X ⟶ Y) : f + g = biprod.lift f g ≫ bipro
 #align category_theory.semiadditive_of_binary_biproducts.add_eq_left_addition CategoryTheory.SemiadditiveOfBinaryBiproducts.add_eq_left_addition
 
 theorem add_comp (f g : X ⟶ Y) (h : Y ⟶ Z) : (f + g) ≫ h = f ≫ h + g ≫ h := by
-  simp only [add_eq_right_addition, category.assoc]; congr ; ext <;> simp
+  simp only [add_eq_right_addition, category.assoc]; congr; ext <;> simp
 #align category_theory.semiadditive_of_binary_biproducts.add_comp CategoryTheory.SemiadditiveOfBinaryBiproducts.add_comp
 
 theorem comp_add (f : X ⟶ Y) (g h : Y ⟶ Z) : f ≫ (g + h) = f ≫ g + f ≫ h := by
-  simp only [add_eq_left_addition, ← category.assoc]; congr ; ext <;> simp
+  simp only [add_eq_left_addition, ← category.assoc]; congr; ext <;> simp
 #align category_theory.semiadditive_of_binary_biproducts.comp_add CategoryTheory.SemiadditiveOfBinaryBiproducts.comp_add
 
 end

93287238

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -113,43 +113,19 @@ variable {X Y Z : C}
 
 attribute [local instance] add_comm_monoid_hom_of_has_binary_biproducts
 
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 theorem add_eq_right_addition (f g : X ⟶ Y) : f + g = biprod.lift (𝟙 X) (𝟙 X) ≫ biprod.desc f g :=
   rfl
 #align category_theory.semiadditive_of_binary_biproducts.add_eq_right_addition CategoryTheory.SemiadditiveOfBinaryBiproducts.add_eq_right_addition
 
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 theorem add_eq_left_addition (f g : X ⟶ Y) : f + g = biprod.lift f g ≫ biprod.desc (𝟙 Y) (𝟙 Y) :=
   congr_fun₂ (EckmannHilton.mul (isUnital_leftAdd X Y) (isUnital_rightAdd X Y) (distrib X Y)).symm f
     g
 #align category_theory.semiadditive_of_binary_biproducts.add_eq_left_addition CategoryTheory.SemiadditiveOfBinaryBiproducts.add_eq_left_addition
 
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 theorem add_comp (f g : X ⟶ Y) (h : Y ⟶ Z) : (f + g) ≫ h = f ≫ h + g ≫ h := by
   simp only [add_eq_right_addition, category.assoc]; congr ; ext <;> simp
 #align category_theory.semiadditive_of_binary_biproducts.add_comp CategoryTheory.SemiadditiveOfBinaryBiproducts.add_comp
 
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 theorem comp_add (f : X ⟶ Y) (g h : Y ⟶ Z) : f ≫ (g + h) = f ≫ g + f ≫ h := by
   simp only [add_eq_left_addition, ← category.assoc]; congr ; ext <;> simp
 #align category_theory.semiadditive_of_binary_biproducts.comp_add CategoryTheory.SemiadditiveOfBinaryBiproducts.comp_add

93287238

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -140,11 +140,8 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] [_inst_3 : CategoryTheory.Limits.HasBinaryBiproducts.{u1, u2} C _inst_1 _inst_2] {X : C} {Y : C} {Z : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (h : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Z (HAdd.hAdd.{u1, u1, u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (instHAdd.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (AddZeroClass.toAdd.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (AddMonoid.toAddZeroClass.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (AddCommMonoid.toAddMonoid.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.SemiadditiveOfBinaryBiproducts.addCommMonoidHomOfHasBinaryBiproducts.{u1, u2} C _inst_1 _inst_2 _inst_3 X Y))))) f g) h) (HAdd.hAdd.{u1, u1, u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (instHAdd.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (AddZeroClass.toAdd.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (AddMonoid.toAddZeroClass.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (AddCommMonoid.toAddMonoid.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (CategoryTheory.SemiadditiveOfBinaryBiproducts.addCommMonoidHomOfHasBinaryBiproducts.{u1, u2} C _inst_1 _inst_2 _inst_3 X Z))))) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Z f h) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Z g h))
 Case conversion may be inaccurate. Consider using '#align category_theory.semiadditive_of_binary_biproducts.add_comp CategoryTheory.SemiadditiveOfBinaryBiproducts.add_compₓ'. -/
-theorem add_comp (f g : X ⟶ Y) (h : Y ⟶ Z) : (f + g) ≫ h = f ≫ h + g ≫ h :=
-  by
-  simp only [add_eq_right_addition, category.assoc]
-  congr
-  ext <;> simp
+theorem add_comp (f g : X ⟶ Y) (h : Y ⟶ Z) : (f + g) ≫ h = f ≫ h + g ≫ h := by
+  simp only [add_eq_right_addition, category.assoc]; congr ; ext <;> simp
 #align category_theory.semiadditive_of_binary_biproducts.add_comp CategoryTheory.SemiadditiveOfBinaryBiproducts.add_comp
 
 /- warning: category_theory.semiadditive_of_binary_biproducts.comp_add -> CategoryTheory.SemiadditiveOfBinaryBiproducts.comp_add is a dubious translation:
@@ -153,11 +150,8 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] [_inst_3 : CategoryTheory.Limits.HasBinaryBiproducts.{u1, u2} C _inst_1 _inst_2] {X : C} {Y : C} {Z : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (h : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Z f (HAdd.hAdd.{u1, u1, u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (instHAdd.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (AddZeroClass.toAdd.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (AddMonoid.toAddZeroClass.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (AddCommMonoid.toAddMonoid.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (CategoryTheory.SemiadditiveOfBinaryBiproducts.addCommMonoidHomOfHasBinaryBiproducts.{u1, u2} C _inst_1 _inst_2 _inst_3 Y Z))))) g h)) (HAdd.hAdd.{u1, u1, u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (instHAdd.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (AddZeroClass.toAdd.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (AddMonoid.toAddZeroClass.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (AddCommMonoid.toAddMonoid.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (CategoryTheory.SemiadditiveOfBinaryBiproducts.addCommMonoidHomOfHasBinaryBiproducts.{u1, u2} C _inst_1 _inst_2 _inst_3 X Z))))) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Z f g) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Z f h))
 Case conversion may be inaccurate. Consider using '#align category_theory.semiadditive_of_binary_biproducts.comp_add CategoryTheory.SemiadditiveOfBinaryBiproducts.comp_addₓ'. -/
-theorem comp_add (f : X ⟶ Y) (g h : Y ⟶ Z) : f ≫ (g + h) = f ≫ g + f ≫ h :=
-  by
-  simp only [add_eq_left_addition, ← category.assoc]
-  congr
-  ext <;> simp
+theorem comp_add (f : X ⟶ Y) (g h : Y ⟶ Z) : f ≫ (g + h) = f ≫ g + f ≫ h := by
+  simp only [add_eq_left_addition, ← category.assoc]; congr ; ext <;> simp
 #align category_theory.semiadditive_of_binary_biproducts.comp_add CategoryTheory.SemiadditiveOfBinaryBiproducts.comp_add
 
 end

93287238

bump to nightly-2023-03-19-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/1f4705ccdfe1e557fc54a0ce081a05e33d2e6240

b19efad4

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Markus Himmel
 
 ! This file was ported from Lean 3 source module category_theory.preadditive.of_biproducts
-! leanprover-community/mathlib commit 061ea99a5610cfc72c286aa930d3c1f47f74f3d0
+! leanprover-community/mathlib commit 932872382355f00112641d305ba0619305dc8642
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.GroupTheory.EckmannHilton
 /-!
 # Constructing a semiadditive structure from binary biproducts
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We show that any category with zero morphisms and binary biproducts is enriched over the category
 of commutative monoids.

061ea99a

bump to nightly-2023-03-17-14

mathlib commit https://github.com/leanprover-community/mathlib/commit/da3fc4a33ff6bc75f077f691dc94c217b8d41559

2bedb1b6

Diff

@@ -36,19 +36,23 @@ section
 
 variable (X Y : C)
 
+#print CategoryTheory.SemiadditiveOfBinaryBiproducts.leftAdd /-
 /-- `f +ₗ g` is the composite `X ⟶ Y ⊞ Y ⟶ Y`, where the first map is `(f, g)` and the second map
     is `(𝟙 𝟙)`. -/
 @[simp]
 def leftAdd (f g : X ⟶ Y) : X ⟶ Y :=
   biprod.lift f g ≫ biprod.desc (𝟙 Y) (𝟙 Y)
 #align category_theory.semiadditive_of_binary_biproducts.left_add CategoryTheory.SemiadditiveOfBinaryBiproducts.leftAdd
+-/
 
+#print CategoryTheory.SemiadditiveOfBinaryBiproducts.rightAdd /-
 /-- `f +ᵣ g` is the composite `X ⟶ X ⊞ X ⟶ Y`, where the first map is `(𝟙, 𝟙)` and the second map
     is `(f g)`. -/
 @[simp]
 def rightAdd (f g : X ⟶ Y) : X ⟶ Y :=
   biprod.lift (𝟙 X) (𝟙 X) ≫ biprod.desc f g
 #align category_theory.semiadditive_of_binary_biproducts.right_add CategoryTheory.SemiadditiveOfBinaryBiproducts.rightAdd
+-/
 
 -- mathport name: «expr +ₗ »
 local infixr:65 " +ₗ " => leftAdd X Y
@@ -56,16 +60,21 @@ local infixr:65 " +ₗ " => leftAdd X Y
 -- mathport name: «expr +ᵣ »
 local infixr:65 " +ᵣ " => rightAdd X Y
 
+#print CategoryTheory.SemiadditiveOfBinaryBiproducts.isUnital_leftAdd /-
 theorem isUnital_leftAdd : EckmannHilton.IsUnital (· +ₗ ·) 0 :=
   ⟨⟨fun f => by simp [show biprod.lift (0 : X ⟶ Y) f = f ≫ biprod.inr by ext <;> simp]⟩,
     ⟨fun f => by simp [show biprod.lift f (0 : X ⟶ Y) = f ≫ biprod.inl by ext <;> simp]⟩⟩
 #align category_theory.semiadditive_of_binary_biproducts.is_unital_left_add CategoryTheory.SemiadditiveOfBinaryBiproducts.isUnital_leftAdd
+-/
 
+#print CategoryTheory.SemiadditiveOfBinaryBiproducts.isUnital_rightAdd /-
 theorem isUnital_rightAdd : EckmannHilton.IsUnital (· +ᵣ ·) 0 :=
   ⟨⟨fun f => by simp [show biprod.desc (0 : X ⟶ Y) f = biprod.snd ≫ f by ext <;> simp]⟩,
     ⟨fun f => by simp [show biprod.desc f (0 : X ⟶ Y) = biprod.fst ≫ f by ext <;> simp]⟩⟩
 #align category_theory.semiadditive_of_binary_biproducts.is_unital_right_add CategoryTheory.SemiadditiveOfBinaryBiproducts.isUnital_rightAdd
+-/
 
+#print CategoryTheory.SemiadditiveOfBinaryBiproducts.distrib /-
 theorem distrib (f g h k : X ⟶ Y) : (f +ᵣ g) +ₗ h +ᵣ k = (f +ₗ h) +ᵣ g +ₗ k :=
   by
   let diag : X ⊞ X ⟶ Y ⊞ Y := biprod.lift (biprod.desc f g) (biprod.desc h k)
@@ -76,7 +85,9 @@ theorem distrib (f g h k : X ⟶ Y) : (f +ᵣ g) +ₗ h +ᵣ k = (f +ₗ h) +ᵣ
     ext <;> simp [reassoc_of hd₁, reassoc_of hd₂]
   rw [leftAdd, h₁, category.assoc, h₂, rightAdd]
 #align category_theory.semiadditive_of_binary_biproducts.distrib CategoryTheory.SemiadditiveOfBinaryBiproducts.distrib
+-/
 
+#print CategoryTheory.SemiadditiveOfBinaryBiproducts.addCommMonoidHomOfHasBinaryBiproducts /-
 /-- In a category with binary biproducts, the morphisms form a commutative monoid. -/
 def addCommMonoidHomOfHasBinaryBiproducts : AddCommMonoid (X ⟶ Y)
     where
@@ -89,6 +100,7 @@ def addCommMonoidHomOfHasBinaryBiproducts : AddCommMonoid (X ⟶ Y)
   add_comm :=
     (EckmannHilton.mul_comm (isUnital_leftAdd X Y) (isUnital_rightAdd X Y) (distrib X Y)).comm
 #align category_theory.semiadditive_of_binary_biproducts.add_comm_monoid_hom_of_has_binary_biproducts CategoryTheory.SemiadditiveOfBinaryBiproducts.addCommMonoidHomOfHasBinaryBiproducts
+-/
 
 end
 
@@ -98,15 +110,33 @@ variable {X Y Z : C}
 
 attribute [local instance] add_comm_monoid_hom_of_has_binary_biproducts
 
+/- warning: category_theory.semiadditive_of_binary_biproducts.add_eq_right_addition -> CategoryTheory.SemiadditiveOfBinaryBiproducts.add_eq_right_addition is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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 theorem add_eq_right_addition (f g : X ⟶ Y) : f + g = biprod.lift (𝟙 X) (𝟙 X) ≫ biprod.desc f g :=
   rfl
 #align category_theory.semiadditive_of_binary_biproducts.add_eq_right_addition CategoryTheory.SemiadditiveOfBinaryBiproducts.add_eq_right_addition
 
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 theorem add_eq_left_addition (f g : X ⟶ Y) : f + g = biprod.lift f g ≫ biprod.desc (𝟙 Y) (𝟙 Y) :=
   congr_fun₂ (EckmannHilton.mul (isUnital_leftAdd X Y) (isUnital_rightAdd X Y) (distrib X Y)).symm f
     g
 #align category_theory.semiadditive_of_binary_biproducts.add_eq_left_addition CategoryTheory.SemiadditiveOfBinaryBiproducts.add_eq_left_addition
 
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+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] [_inst_3 : CategoryTheory.Limits.HasBinaryBiproducts.{u1, u2} C _inst_1 _inst_2] {X : C} {Y : C} {Z : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (h : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Z (HAdd.hAdd.{u1, u1, u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (instHAdd.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (AddZeroClass.toAdd.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (AddMonoid.toAddZeroClass.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (AddCommMonoid.toAddMonoid.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.SemiadditiveOfBinaryBiproducts.addCommMonoidHomOfHasBinaryBiproducts.{u1, u2} C _inst_1 _inst_2 _inst_3 X Y))))) f g) h) (HAdd.hAdd.{u1, u1, u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (instHAdd.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (AddZeroClass.toAdd.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (AddMonoid.toAddZeroClass.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (AddCommMonoid.toAddMonoid.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (CategoryTheory.SemiadditiveOfBinaryBiproducts.addCommMonoidHomOfHasBinaryBiproducts.{u1, u2} C _inst_1 _inst_2 _inst_3 X Z))))) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Z f h) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Z g h))
+Case conversion may be inaccurate. Consider using '#align category_theory.semiadditive_of_binary_biproducts.add_comp CategoryTheory.SemiadditiveOfBinaryBiproducts.add_compₓ'. -/
 theorem add_comp (f g : X ⟶ Y) (h : Y ⟶ Z) : (f + g) ≫ h = f ≫ h + g ≫ h :=
   by
   simp only [add_eq_right_addition, category.assoc]
@@ -114,6 +144,12 @@ theorem add_comp (f g : X ⟶ Y) (h : Y ⟶ Z) : (f + g) ≫ h = f ≫ h + g ≫
   ext <;> simp
 #align category_theory.semiadditive_of_binary_biproducts.add_comp CategoryTheory.SemiadditiveOfBinaryBiproducts.add_comp
 
+/- warning: category_theory.semiadditive_of_binary_biproducts.comp_add -> CategoryTheory.SemiadditiveOfBinaryBiproducts.comp_add is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] [_inst_3 : CategoryTheory.Limits.HasBinaryBiproducts.{u1, u2} C _inst_1 _inst_2] {X : C} {Y : C} {Z : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (h : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Z f (HAdd.hAdd.{u1, u1, u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (instHAdd.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (AddZeroClass.toHasAdd.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (AddMonoid.toAddZeroClass.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (AddCommMonoid.toAddMonoid.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (CategoryTheory.SemiadditiveOfBinaryBiproducts.addCommMonoidHomOfHasBinaryBiproducts.{u1, u2} C _inst_1 _inst_2 _inst_3 Y Z))))) g h)) (HAdd.hAdd.{u1, u1, u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (instHAdd.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (AddZeroClass.toHasAdd.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (AddMonoid.toAddZeroClass.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (AddCommMonoid.toAddMonoid.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (CategoryTheory.SemiadditiveOfBinaryBiproducts.addCommMonoidHomOfHasBinaryBiproducts.{u1, u2} C _inst_1 _inst_2 _inst_3 X Z))))) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Z f g) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Z f h))
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] [_inst_3 : CategoryTheory.Limits.HasBinaryBiproducts.{u1, u2} C _inst_1 _inst_2] {X : C} {Y : C} {Z : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (h : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Z f (HAdd.hAdd.{u1, u1, u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (instHAdd.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (AddZeroClass.toAdd.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (AddMonoid.toAddZeroClass.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (AddCommMonoid.toAddMonoid.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) (CategoryTheory.SemiadditiveOfBinaryBiproducts.addCommMonoidHomOfHasBinaryBiproducts.{u1, u2} C _inst_1 _inst_2 _inst_3 Y Z))))) g h)) (HAdd.hAdd.{u1, u1, u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (instHAdd.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (AddZeroClass.toAdd.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (AddMonoid.toAddZeroClass.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (AddCommMonoid.toAddMonoid.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (CategoryTheory.SemiadditiveOfBinaryBiproducts.addCommMonoidHomOfHasBinaryBiproducts.{u1, u2} C _inst_1 _inst_2 _inst_3 X Z))))) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Z f g) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Z f h))
+Case conversion may be inaccurate. Consider using '#align category_theory.semiadditive_of_binary_biproducts.comp_add CategoryTheory.SemiadditiveOfBinaryBiproducts.comp_addₓ'. -/
 theorem comp_add (f : X ⟶ Y) (g h : Y ⟶ Z) : f ≫ (g + h) = f ≫ g + f ≫ h :=
   by
   simp only [add_eq_left_addition, ← category.assoc]

061ea99a

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

061ea99a

chore: remove mathport name: <expression> lines (#11928)

Quoting [@digama0](https://github.com/digama0):

These were actually never meant to go in the file, they are basically debugging information and only useful on significantly broken mathport files. You can safely remove all of them.

11431c65

Diff

@@ -47,10 +47,8 @@ def rightAdd (f g : X ⟶ Y) : X ⟶ Y :=
   biprod.lift (𝟙 X) (𝟙 X) ≫ biprod.desc f g
 #align category_theory.semiadditive_of_binary_biproducts.right_add CategoryTheory.SemiadditiveOfBinaryBiproducts.rightAdd
 
--- mathport name: «expr +ₗ »
 local infixr:65 " +ₗ " => leftAdd X Y
 
--- mathport name: «expr +ᵣ »
 local infixr:65 " +ᵣ " => rightAdd X Y
 
 theorem isUnital_leftAdd : EckmannHilton.IsUnital (· +ₗ ·) 0 := by

061ea99a

refactor: do not allow nsmul and zsmul to default automatically (#6262)

This PR removes the default values for nsmul and zsmul, forcing the user to populate them manually. The previous behavior can be obtained by writing nsmul := nsmulRec and zsmul := zsmulRec, which is now in the docstring for these fields.

The motivation here is to make it more obvious when module diamonds are being introduced, or at least where they might be hiding; you can now simply search for nsmulRec in the source code.

Arguably we should do the same thing for intCast, natCast, pow, and zpow too, but diamonds are less common in those fields, so I'll leave them to a subsequent PR.

Co-authored-by: Matthew Ballard <matt@mrb.email>

e42f78a9

Diff

@@ -99,8 +99,7 @@ theorem distrib (f g h k : X ⟶ Y) : (f +ᵣ g) +ₗ h +ᵣ k = (f +ₗ h) +ᵣ
 #align category_theory.semiadditive_of_binary_biproducts.distrib CategoryTheory.SemiadditiveOfBinaryBiproducts.distrib
 
 /-- In a category with binary biproducts, the morphisms form a commutative monoid. -/
-def addCommMonoidHomOfHasBinaryBiproducts : AddCommMonoid (X ⟶ Y)
-    where
+def addCommMonoidHomOfHasBinaryBiproducts : AddCommMonoid (X ⟶ Y) where
   add := (· +ᵣ ·)
   add_assoc :=
     (EckmannHilton.mul_assoc (isUnital_leftAdd X Y) (isUnital_rightAdd X Y) (distrib X Y)).assoc
@@ -109,6 +108,7 @@ def addCommMonoidHomOfHasBinaryBiproducts : AddCommMonoid (X ⟶ Y)
   add_zero := (isUnital_rightAdd X Y).right_id
   add_comm :=
     (EckmannHilton.mul_comm (isUnital_leftAdd X Y) (isUnital_rightAdd X Y) (distrib X Y)).comm
+  nsmul := letI : Add (X ⟶ Y) := ⟨(· +ᵣ ·)⟩; nsmulRec
 #align category_theory.semiadditive_of_binary_biproducts.add_comm_monoid_hom_of_has_binary_biproducts CategoryTheory.SemiadditiveOfBinaryBiproducts.addCommMonoidHomOfHasBinaryBiproducts
 
 end

061ea99a

chore: prepare Lean version bump with explicit simp (#10999)

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

38bce757

Diff

@@ -89,10 +89,10 @@ theorem isUnital_rightAdd : EckmannHilton.IsUnital (· +ᵣ ·) 0 := by
 
 theorem distrib (f g h k : X ⟶ Y) : (f +ᵣ g) +ₗ h +ᵣ k = (f +ₗ h) +ᵣ g +ₗ k := by
   let diag : X ⊞ X ⟶ Y ⊞ Y := biprod.lift (biprod.desc f g) (biprod.desc h k)
-  have hd₁ : biprod.inl ≫ diag = biprod.lift f h := by ext <;> simp
-  have hd₂ : biprod.inr ≫ diag = biprod.lift g k := by ext <;> simp
+  have hd₁ : biprod.inl ≫ diag = biprod.lift f h := by ext <;> simp [diag]
+  have hd₂ : biprod.inr ≫ diag = biprod.lift g k := by ext <;> simp [diag]
   have h₁ : biprod.lift (f +ᵣ g) (h +ᵣ k) = biprod.lift (𝟙 X) (𝟙 X) ≫ diag := by
-      ext <;> aesop_cat
+    ext <;> aesop_cat
   have h₂ : diag ≫ biprod.desc (𝟙 Y) (𝟙 Y) = biprod.desc (f +ₗ h) (g +ₗ k) := by
     ext <;> simp [reassoc_of% hd₁, reassoc_of% hd₂]
   rw [leftAdd, h₁, Category.assoc, h₂, rightAdd]

061ea99a

chore: move to v4.6.0-rc1, merging adaptations from bump/v4.6.0 (#10176)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Joachim Breitner <mail@joachim-breitner.de>

490d2d48

Diff

@@ -64,8 +64,10 @@ theorem isUnital_leftAdd : EckmannHilton.IsUnital (· +ₗ ·) 0 := by
     ext
     · aesop_cat
     · simp [biprod.lift_snd, Category.assoc, biprod.inl_snd, comp_zero]
-  exact ⟨⟨fun f => by simp [hr f, leftAdd, Category.assoc, Category.comp_id, biprod.inr_desc]⟩,
-    ⟨fun f => by simp [hl f, leftAdd, Category.assoc, Category.comp_id, biprod.inl_desc]⟩⟩
+  exact {
+    left_id := fun f => by simp [hr f, leftAdd, Category.assoc, Category.comp_id, biprod.inr_desc],
+    right_id := fun f => by simp [hl f, leftAdd, Category.assoc, Category.comp_id, biprod.inl_desc]
+  }
 #align category_theory.semiadditive_of_binary_biproducts.is_unital_left_add CategoryTheory.SemiadditiveOfBinaryBiproducts.isUnital_leftAdd
 
 theorem isUnital_rightAdd : EckmannHilton.IsUnital (· +ᵣ ·) 0 := by
@@ -79,8 +81,10 @@ theorem isUnital_rightAdd : EckmannHilton.IsUnital (· +ᵣ ·) 0 := by
     ext
     · aesop_cat
     · simp only [biprod.inr_desc, BinaryBicone.inr_fst_assoc, zero_comp]
-  exact ⟨⟨fun f => by simp [h₂ f, rightAdd, biprod.lift_snd_assoc, Category.id_comp]⟩,
-    ⟨fun f => by simp [h₁ f, rightAdd, biprod.lift_fst_assoc, Category.id_comp]⟩⟩
+  exact {
+    left_id := fun f => by simp [h₂ f, rightAdd, biprod.lift_snd_assoc, Category.id_comp],
+    right_id := fun f => by simp [h₁ f, rightAdd, biprod.lift_fst_assoc, Category.id_comp]
+  }
 #align category_theory.semiadditive_of_binary_biproducts.is_unital_right_add CategoryTheory.SemiadditiveOfBinaryBiproducts.isUnital_rightAdd
 
 theorem distrib (f g h k : X ⟶ Y) : (f +ᵣ g) +ₗ h +ᵣ k = (f +ₗ h) +ᵣ g +ₗ k := by

061ea99a

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

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

89aa3a3b

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2022 Markus Himmel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Markus Himmel
-
-! This file was ported from Lean 3 source module category_theory.preadditive.of_biproducts
-! leanprover-community/mathlib commit 061ea99a5610cfc72c286aa930d3c1f47f74f3d0
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Limits.Shapes.Biproducts
 import Mathlib.GroupTheory.EckmannHilton
 import Mathlib.Tactic.CategoryTheory.Reassoc
+
+#align_import category_theory.preadditive.of_biproducts from "leanprover-community/mathlib"@"061ea99a5610cfc72c286aa930d3c1f47f74f3d0"
 /-!
 # Constructing a semiadditive structure from binary biproducts

061ea99a

chore: cleanup whitespace (#5988)

Grepping for [^ .:{-] [^ :] and reviewing the results. Once I started I couldn't stop. :-)

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

12343aa5

Diff

@@ -77,7 +77,7 @@ theorem isUnital_rightAdd : EckmannHilton.IsUnital (· +ᵣ ·) 0 := by
     ext
     · aesop_cat
     · simp only [biprod.inr_desc, BinaryBicone.inr_snd_assoc]
-  have h₁ : ∀ f : X ⟶ Y,  biprod.desc f (0 : X ⟶ Y) = biprod.fst ≫ f := by
+  have h₁ : ∀ f : X ⟶ Y, biprod.desc f (0 : X ⟶ Y) = biprod.fst ≫ f := by
     intro f
     ext
     · aesop_cat

061ea99a

chore: bump to nightly-2023-07-01 (#5409)

depends on: https://github.com/leanprover/std4/pull/163
depends on: #5584
depends on: #5715
depends on: #5729
depends on: https://github.com/leanprover/std4/pull/173

Co-authored-by: Komyyy <pol_tta@outlook.jp> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Mario Carneiro <di.gama@gmail.com>

906f7221

Diff

@@ -93,7 +93,7 @@ theorem distrib (f g h k : X ⟶ Y) : (f +ᵣ g) +ₗ h +ᵣ k = (f +ₗ h) +ᵣ
   have h₁ : biprod.lift (f +ᵣ g) (h +ᵣ k) = biprod.lift (𝟙 X) (𝟙 X) ≫ diag := by
       ext <;> aesop_cat
   have h₂ : diag ≫ biprod.desc (𝟙 Y) (𝟙 Y) = biprod.desc (f +ₗ h) (g +ₗ k) := by
-    ext <;> simp [reassoc_of% hd₁, reassoc_of% hd₂] <;> aesop_cat
+    ext <;> simp [reassoc_of% hd₁, reassoc_of% hd₂]
   rw [leftAdd, h₁, Category.assoc, h₂, rightAdd]
 #align category_theory.semiadditive_of_binary_biproducts.distrib CategoryTheory.SemiadditiveOfBinaryBiproducts.distrib

061ea99a

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

@@ -60,13 +60,13 @@ theorem isUnital_leftAdd : EckmannHilton.IsUnital (· +ₗ ·) 0 := by
   have hr : ∀ f : X ⟶ Y, biprod.lift (0 : X ⟶ Y) f = f ≫ biprod.inr := by
     intro f
     ext
-    aesop_cat
-    simp [biprod.lift_fst, Category.assoc, biprod.inr_fst, comp_zero]
+    · aesop_cat
+    · simp [biprod.lift_fst, Category.assoc, biprod.inr_fst, comp_zero]
   have hl : ∀ f : X ⟶ Y, biprod.lift f (0 : X ⟶ Y) = f ≫ biprod.inl := by
     intro f
     ext
-    aesop_cat
-    simp [biprod.lift_snd, Category.assoc, biprod.inl_snd, comp_zero]
+    · aesop_cat
+    · simp [biprod.lift_snd, Category.assoc, biprod.inl_snd, comp_zero]
   exact ⟨⟨fun f => by simp [hr f, leftAdd, Category.assoc, Category.comp_id, biprod.inr_desc]⟩,
     ⟨fun f => by simp [hl f, leftAdd, Category.assoc, Category.comp_id, biprod.inl_desc]⟩⟩
 #align category_theory.semiadditive_of_binary_biproducts.is_unital_left_add CategoryTheory.SemiadditiveOfBinaryBiproducts.isUnital_leftAdd
@@ -75,13 +75,13 @@ theorem isUnital_rightAdd : EckmannHilton.IsUnital (· +ᵣ ·) 0 := by
   have h₂ : ∀ f : X ⟶ Y, biprod.desc (0 : X ⟶ Y) f = biprod.snd ≫ f := by
     intro f
     ext
-    aesop_cat
-    simp only [biprod.inr_desc, BinaryBicone.inr_snd_assoc]
+    · aesop_cat
+    · simp only [biprod.inr_desc, BinaryBicone.inr_snd_assoc]
   have h₁ : ∀ f : X ⟶ Y,  biprod.desc f (0 : X ⟶ Y) = biprod.fst ≫ f := by
     intro f
     ext
-    aesop_cat
-    simp only [biprod.inr_desc, BinaryBicone.inr_fst_assoc, zero_comp]
+    · aesop_cat
+    · simp only [biprod.inr_desc, BinaryBicone.inr_fst_assoc, zero_comp]
   exact ⟨⟨fun f => by simp [h₂ f, rightAdd, biprod.lift_snd_assoc, Category.id_comp]⟩,
     ⟨fun f => by simp [h₁ f, rightAdd, biprod.lift_fst_assoc, Category.id_comp]⟩⟩
 #align category_theory.semiadditive_of_binary_biproducts.is_unital_right_add CategoryTheory.SemiadditiveOfBinaryBiproducts.isUnital_rightAdd

061ea99a

chore: move category theory tactics to Tactic/CategoryTheory (#4461)

1fb02ec1

Diff

@@ -10,7 +10,7 @@ Authors: Markus Himmel
 -/
 import Mathlib.CategoryTheory.Limits.Shapes.Biproducts
 import Mathlib.GroupTheory.EckmannHilton
-import Mathlib.Tactic.Reassoc
+import Mathlib.Tactic.CategoryTheory.Reassoc
 /-!
 # Constructing a semiadditive structure from binary biproducts

061ea99a

feat: port CategoryTheory.Preadditive.OfBiproducts (#2939)

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

d2cf8db8

`category_theory.preadditive.of_biproducts` ⟷ `Mathlib.CategoryTheory.Preadditive.OfBiproducts`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 2 + 245

category_theory.preadditive.of_biproducts ⟷ Mathlib.CategoryTheory.Preadditive.OfBiproducts

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 2 + 245

`category_theory.preadditive.of_biproducts` ⟷ `Mathlib.CategoryTheory.Preadditive.OfBiproducts`