category_theory.bicategory.EndMathlib.CategoryTheory.Bicategory.End

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
@@ -3,8 +3,8 @@ Copyright (c) 2022 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathbin.CategoryTheory.Bicategory.Basic
-import Mathbin.CategoryTheory.Monoidal.Category
+import CategoryTheory.Bicategory.Basic
+import CategoryTheory.Monoidal.Category
 
 #align_import category_theory.bicategory.End from "leanprover-community/mathlib"@"ef7acf407d265ad4081c8998687e994fa80ba70c"
 
Diff
@@ -2,15 +2,12 @@
 Copyright (c) 2022 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 category_theory.bicategory.End
-! leanprover-community/mathlib commit ef7acf407d265ad4081c8998687e994fa80ba70c
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Bicategory.Basic
 import Mathbin.CategoryTheory.Monoidal.Category
 
+#align_import category_theory.bicategory.End from "leanprover-community/mathlib"@"ef7acf407d265ad4081c8998687e994fa80ba70c"
+
 /-!
 # Endomorphisms of an object in a bicategory, as a monoidal category.
 
Diff
@@ -26,7 +26,8 @@ variable {C : Type _} [Bicategory C]
 #print CategoryTheory.EndMonoidal /-
 /-- The endomorphisms of an object in a bicategory can be considered as a monoidal category. -/
 def EndMonoidal (X : C) :=
-  X ⟶ X deriving Category
+  X ⟶ X
+deriving Category
 #align category_theory.End_monoidal CategoryTheory.EndMonoidal
 -/
 
Diff
@@ -33,7 +33,7 @@ def EndMonoidal (X : C) :=
 instance (X : C) : Inhabited (EndMonoidal X) :=
   ⟨𝟙 X⟩
 
-open Bicategory
+open scoped Bicategory
 
 open MonoidalCategory
 
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 category_theory.bicategory.End
-! leanprover-community/mathlib commit 6abb6de90754c5613a3aab6261eea9e5c72d539d
+! leanprover-community/mathlib commit ef7acf407d265ad4081c8998687e994fa80ba70c
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.CategoryTheory.Monoidal.Category
 
 /-!
 # Endomorphisms of an object in a bicategory, as a monoidal category.
+
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
 -/
 
 
Diff
@@ -20,10 +20,12 @@ namespace CategoryTheory
 
 variable {C : Type _} [Bicategory C]
 
+#print CategoryTheory.EndMonoidal /-
 /-- The endomorphisms of an object in a bicategory can be considered as a monoidal category. -/
 def EndMonoidal (X : C) :=
   X ⟶ X deriving Category
 #align category_theory.End_monoidal CategoryTheory.EndMonoidal
+-/
 
 instance (X : C) : Inhabited (EndMonoidal X) :=
   ⟨𝟙 X⟩

Changes in mathlib4

mathlib3
mathlib4
refactor: Move the data fields of MonoidalCategory into a Struct class (#7279)

This matches the approach for CategoryStruct, and allows us to use the notation within MonoidalCategory.

It also makes it easier to induce the lawful structure along a faithful functor, as again it means by the time we are providing the proof fields, the notation is already available.

This also eliminates tensorUnit vs tensorUnit', adding a custom pretty-printer to provide the unprimed version with appropriate notation.

Diff
@@ -41,7 +41,7 @@ instance (X : C) : MonoidalCategory (EndMonoidal X) where
   tensorObj f g := f ≫ g
   whiskerLeft {f g h} η := f ◁ η
   whiskerRight {f g} η h := η ▷ h
-  tensorUnit' := 𝟙 _
+  tensorUnit := 𝟙 _
   associator f g h := α_ f g h
   leftUnitor f := λ_ f
   rightUnitor f := ρ_ f
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
@@ -15,7 +15,7 @@ import Mathlib.CategoryTheory.Monoidal.Category
 
 namespace CategoryTheory
 
-variable {C : Type _} [Bicategory C]
+variable {C : Type*} [Bicategory C]
 
 /-- The endomorphisms of an object in a bicategory can be considered as a monoidal category. -/
 def EndMonoidal (X : C) :=
feat(CategoryTheory/Monoidal): define whiskering operators (#6420)

Extracted from #6307. Just put the whiskerings into the constructor.

Diff
@@ -39,7 +39,8 @@ open Bicategory
 attribute [local simp] EndMonoidal in
 instance (X : C) : MonoidalCategory (EndMonoidal X) where
   tensorObj f g := f ≫ g
-  tensorHom {f g} h i η θ := η ▷ h ≫ g ◁ θ
+  whiskerLeft {f g h} η := f ◁ η
+  whiskerRight {f g} η h := η ▷ h
   tensorUnit' := 𝟙 _
   associator f g h := α_ f g h
   leftUnitor f := λ_ f
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) 2022 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 category_theory.bicategory.End
-! leanprover-community/mathlib commit 6abb6de90754c5613a3aab6261eea9e5c72d539d
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Bicategory.Basic
 import Mathlib.CategoryTheory.Monoidal.Category
 
+#align_import category_theory.bicategory.End from "leanprover-community/mathlib"@"6abb6de90754c5613a3aab6261eea9e5c72d539d"
+
 /-!
 # Endomorphisms of an object in a bicategory, as a monoidal category.
 -/
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>

Diff
@@ -39,45 +39,18 @@ open MonoidalCategory
 
 open Bicategory
 
--- Porting notes:
--- All the proofs needed in this instance (except for `tensor_comp`) were solved in mathlib3
--- using `obivously`, but `aesop_cat` is unable to close the goals here.
--- We add the (very `simp`le) proofs manually.
-instance (X : C) : MonoidalCategory (EndMonoidal X)
-    where
+attribute [local simp] EndMonoidal in
+instance (X : C) : MonoidalCategory (EndMonoidal X) where
   tensorObj f g := f ≫ g
   tensorHom {f g} h i η θ := η ▷ h ≫ g ◁ θ
   tensorUnit' := 𝟙 _
   associator f g h := α_ f g h
   leftUnitor f := λ_ f
   rightUnitor f := ρ_ f
-  tensor_id := by
-    intros
-    dsimp [EndMonoidal] at *
-    simp
   tensor_comp := by
     intros
     dsimp
     rw [Bicategory.whiskerLeft_comp, Bicategory.comp_whiskerRight, Category.assoc, Category.assoc,
       Bicategory.whisker_exchange_assoc]
-  associator_naturality := by
-    intros
-    dsimp [EndMonoidal] at *
-    simp
-  leftUnitor_naturality := by
-    intros
-    dsimp [EndMonoidal] at *
-    simp
-  rightUnitor_naturality := by
-    intros
-    dsimp [EndMonoidal] at *
-    simp
-  pentagon := by
-    intros
-    dsimp [EndMonoidal] at *
-    simp
-  triangle := by
-    intros
-    dsimp [EndMonoidal] at *
-    simp
+
 end CategoryTheory
feat: Port CategoryTheory.Bicategory.End (#2454)

Dependencies 17

18 files ported (100.0%)
5006 lines ported (100.0%)

All dependencies are ported!