category_theory.monoidal.internal.functor_categoryMathlib.CategoryTheory.Monoidal.Internal.FunctorCategory

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.

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -3,8 +3,8 @@ Copyright (c) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathbin.CategoryTheory.Monoidal.CommMon_
-import Mathbin.CategoryTheory.Monoidal.FunctorCategory
+import CategoryTheory.Monoidal.CommMon_
+import CategoryTheory.Monoidal.FunctorCategory
 
 #align_import category_theory.monoidal.internal.functor_category from "leanprover-community/mathlib"@"2a0ce625dbb0ffbc7d1316597de0b25c1ec75303"
 
Diff
@@ -2,15 +2,12 @@
 Copyright (c) 2020 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.monoidal.internal.functor_category
-! leanprover-community/mathlib commit 2a0ce625dbb0ffbc7d1316597de0b25c1ec75303
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Monoidal.CommMon_
 import Mathbin.CategoryTheory.Monoidal.FunctorCategory
 
+#align_import category_theory.monoidal.internal.functor_category from "leanprover-community/mathlib"@"2a0ce625dbb0ffbc7d1316597de0b25c1ec75303"
+
 /-!
 # `Mon_ (C ⥤ D) ≌ C ⥤ Mon_ D`
 
Diff
@@ -50,6 +50,7 @@ namespace MonFunctorCategoryEquivalence
 
 variable {C D}
 
+#print CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.functor /-
 /-- Functor translating a monoid object in a functor category
 to a functor into the category of monoid objects.
 -/
@@ -77,7 +78,9 @@ def functor : Mon_ (C ⥤ D) ⥤ C ⥤ Mon_ D
           one_hom' := congr_app f.OneHom X
           mul_hom' := congr_app f.MulHom X } }
 #align category_theory.monoidal.Mon_functor_category_equivalence.functor CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.functor
+-/
 
+#print CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.inverse /-
 /-- Functor translating a functor into the category of monoid objects
 to a monoid object in the functor category
 -/
@@ -98,7 +101,9 @@ def inverse : (C ⥤ Mon_ D) ⥤ Mon_ (C ⥤ D)
       one_hom' := by ext x; dsimp; rw [(α.app x).OneHom]
       mul_hom' := by ext x; dsimp; rw [(α.app x).MulHom] }
 #align category_theory.monoidal.Mon_functor_category_equivalence.inverse CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.inverse
+-/
 
+#print CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.unitIso /-
 /-- The unit for the equivalence `Mon_ (C ⥤ D) ≌ C ⥤ Mon_ D`.
 -/
 @[simps]
@@ -119,7 +124,9 @@ def unitIso : 𝟭 (Mon_ (C ⥤ D)) ≅ functor ⋙ inverse :=
     simp only [functor.id_map, functor.comp_map, functor_map_app_hom, Mon_.comp_hom',
       category.id_comp, category.comp_id, inverse_map_hom_app, nat_trans.comp_app]
 #align category_theory.monoidal.Mon_functor_category_equivalence.unit_iso CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.unitIso
+-/
 
+#print CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.counitIso /-
 /-- The counit for the equivalence `Mon_ (C ⥤ D) ≌ C ⥤ Mon_ D`.
 -/
 @[simps]
@@ -133,11 +140,13 @@ def counitIso : inverse ⋙ functor ≅ 𝟭 (C ⥤ Mon_ D) :=
         (by tidy))
     (by tidy)
 #align category_theory.monoidal.Mon_functor_category_equivalence.counit_iso CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.counitIso
+-/
 
 end MonFunctorCategoryEquivalence
 
 open MonFunctorCategoryEquivalence
 
+#print CategoryTheory.Monoidal.monFunctorCategoryEquivalence /-
 /-- When `D` is a monoidal category,
 monoid objects in `C ⥤ D` are the same thing
 as functors from `C` into the monoid objects of `D`.
@@ -150,6 +159,7 @@ def monFunctorCategoryEquivalence : Mon_ (C ⥤ D) ≌ C ⥤ Mon_ D
   unitIso := unitIso
   counitIso := counitIso
 #align category_theory.monoidal.Mon_functor_category_equivalence CategoryTheory.Monoidal.monFunctorCategoryEquivalence
+-/
 
 variable [BraidedCategory.{v₂} D]
 
@@ -157,6 +167,7 @@ namespace CommMonFunctorCategoryEquivalence
 
 variable {C D}
 
+#print CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.functor /-
 /-- Functor translating a commutative monoid object in a functor category
 to a functor into the category of commutative monoid objects.
 -/
@@ -170,7 +181,9 @@ def functor : CommMon_ (C ⥤ D) ⥤ C ⥤ CommMon_ D
           mul_comm' := congr_app A.mul_comm X } }
   map A B f := { app := fun X => ((monFunctorCategoryEquivalence C D).Functor.map f).app X }
 #align category_theory.monoidal.CommMon_functor_category_equivalence.functor CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.functor
+-/
 
+#print CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.inverse /-
 /-- Functor translating a functor into the category of commutative monoid objects
 to a commutative monoid object in the functor category
 -/
@@ -182,7 +195,9 @@ def inverse : (C ⥤ CommMon_ D) ⥤ CommMon_ (C ⥤ D)
       mul_comm' := by ext X; exact (F.obj X).mul_comm }
   map F G α := (monFunctorCategoryEquivalence C D).inverse.map (whiskerRight α _)
 #align category_theory.monoidal.CommMon_functor_category_equivalence.inverse CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.inverse
+-/
 
+#print CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.unitIso /-
 /-- The unit for the equivalence `CommMon_ (C ⥤ D) ≌ C ⥤ CommMon_ D`.
 -/
 @[simps]
@@ -203,7 +218,9 @@ def unitIso : 𝟭 (CommMon_ (C ⥤ D)) ≅ functor ⋙ inverse :=
     dsimp
     simp only [category.id_comp, category.comp_id]
 #align category_theory.monoidal.CommMon_functor_category_equivalence.unit_iso CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.unitIso
+-/
 
+#print CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.counitIso /-
 /-- The counit for the equivalence `CommMon_ (C ⥤ D) ≌ C ⥤ CommMon_ D`.
 -/
 @[simps]
@@ -217,11 +234,13 @@ def counitIso : inverse ⋙ functor ≅ 𝟭 (C ⥤ CommMon_ D) :=
         (by tidy))
     (by tidy)
 #align category_theory.monoidal.CommMon_functor_category_equivalence.counit_iso CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.counitIso
+-/
 
 end CommMonFunctorCategoryEquivalence
 
 open CommMonFunctorCategoryEquivalence
 
+#print CategoryTheory.Monoidal.commMonFunctorCategoryEquivalence /-
 /-- When `D` is a braided monoidal category,
 commutative monoid objects in `C ⥤ D` are the same thing
 as functors from `C` into the commutative monoid objects of `D`.
@@ -234,6 +253,7 @@ def commMonFunctorCategoryEquivalence : CommMon_ (C ⥤ D) ≌ C ⥤ CommMon_ D
   unitIso := unitIso
   counitIso := counitIso
 #align category_theory.monoidal.CommMon_functor_category_equivalence CategoryTheory.Monoidal.commMonFunctorCategoryEquivalence
+-/
 
 end CategoryTheory.Monoidal
 
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.monoidal.internal.functor_category
-! leanprover-community/mathlib commit f153a85a8dc0a96ce9133fed69e34df72f7f191f
+! leanprover-community/mathlib commit 2a0ce625dbb0ffbc7d1316597de0b25c1ec75303
 ! 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.Monoidal.FunctorCategory
 /-!
 # `Mon_ (C ⥤ D) ≌ C ⥤ Mon_ D`
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 When `D` is a monoidal category,
 monoid objects in `C ⥤ D` are the same thing as functors from `C` into the monoid objects of `D`.
 
Diff
@@ -63,21 +63,10 @@ def functor : Mon_ (C ⥤ D) ⥤ C ⥤ Mon_ D
           mul_assoc' := congr_app A.mul_assoc X }
       map := fun X Y f =>
         { Hom := A.pt.map f
-          one_hom' := by
-            rw [← A.one.naturality, tensor_unit_map]
-            dsimp
-            rw [category.id_comp]
-          mul_hom' := by
-            dsimp
-            rw [← A.mul.naturality, tensor_obj_map] }
-      map_id' := fun X => by
-        ext
-        dsimp
-        rw [CategoryTheory.Functor.map_id]
-      map_comp' := fun X Y Z f g => by
-        ext
-        dsimp
-        rw [functor.map_comp] }
+          one_hom' := by rw [← A.one.naturality, tensor_unit_map]; dsimp; rw [category.id_comp]
+          mul_hom' := by dsimp; rw [← A.mul.naturality, tensor_obj_map] }
+      map_id' := fun X => by ext; dsimp; rw [CategoryTheory.Functor.map_id]
+      map_comp' := fun X Y Z f g => by ext; dsimp; rw [functor.map_comp] }
   map A B f :=
     {
       app := fun X =>
@@ -96,27 +85,15 @@ def inverse : (C ⥤ Mon_ D) ⥤ Mon_ (C ⥤ D)
     { pt := F ⋙ Mon_.forget D
       one := { app := fun X => (F.obj X).one }
       mul := { app := fun X => (F.obj X).mul }
-      one_mul' := by
-        ext X
-        exact (F.obj X).one_mul
-      mul_one' := by
-        ext X
-        exact (F.obj X).mul_one
-      mul_assoc' := by
-        ext X
-        exact (F.obj X).mul_assoc }
+      one_mul' := by ext X; exact (F.obj X).one_mul
+      mul_one' := by ext X; exact (F.obj X).mul_one
+      mul_assoc' := by ext X; exact (F.obj X).mul_assoc }
   map F G α :=
     { Hom :=
         { app := fun X => (α.app X).Hom
           naturality' := fun X Y f => congr_arg Mon_.Hom.hom (α.naturality f) }
-      one_hom' := by
-        ext x
-        dsimp
-        rw [(α.app x).OneHom]
-      mul_hom' := by
-        ext x
-        dsimp
-        rw [(α.app x).MulHom] }
+      one_hom' := by ext x; dsimp; rw [(α.app x).OneHom]
+      mul_hom' := by ext x; dsimp; rw [(α.app x).MulHom] }
 #align category_theory.monoidal.Mon_functor_category_equivalence.inverse CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.inverse
 
 /-- The unit for the equivalence `Mon_ (C ⥤ D) ≌ C ⥤ Mon_ D`.
@@ -127,23 +104,12 @@ def unitIso : 𝟭 (Mon_ (C ⥤ D)) ≅ functor ⋙ inverse :=
     (fun A =>
       { Hom :=
           { Hom := { app := fun _ => 𝟙 _ }
-            one_hom' := by
-              ext X
-              dsimp
-              simp only [category.comp_id]
-            mul_hom' := by
-              ext X
-              dsimp
-              simp only [tensor_id, category.id_comp, category.comp_id] }
+            one_hom' := by ext X; dsimp; simp only [category.comp_id]
+            mul_hom' := by ext X; dsimp; simp only [tensor_id, category.id_comp, category.comp_id] }
         inv :=
           { Hom := { app := fun _ => 𝟙 _ }
-            one_hom' := by
-              ext X
-              dsimp
-              simp only [category.comp_id]
-            mul_hom' := by
-              ext X
-              dsimp
+            one_hom' := by ext X; dsimp; simp only [category.comp_id]
+            mul_hom' := by ext X; dsimp;
               simp only [tensor_id, category.id_comp, category.comp_id] } })
     fun A B f => by
     ext X
@@ -210,9 +176,7 @@ def inverse : (C ⥤ CommMon_ D) ⥤ CommMon_ (C ⥤ D)
     where
   obj F :=
     { (monFunctorCategoryEquivalence C D).inverse.obj (F ⋙ CommMon_.forget₂Mon_ D) with
-      mul_comm' := by
-        ext X
-        exact (F.obj X).mul_comm }
+      mul_comm' := by ext X; exact (F.obj X).mul_comm }
   map F G α := (monFunctorCategoryEquivalence C D).inverse.map (whiskerRight α _)
 #align category_theory.monoidal.CommMon_functor_category_equivalence.inverse CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.inverse
 
@@ -224,23 +188,12 @@ def unitIso : 𝟭 (CommMon_ (C ⥤ D)) ≅ functor ⋙ inverse :=
     (fun A =>
       { Hom :=
           { Hom := { app := fun _ => 𝟙 _ }
-            one_hom' := by
-              ext X
-              dsimp
-              simp only [category.comp_id]
-            mul_hom' := by
-              ext X
-              dsimp
-              simp only [tensor_id, category.id_comp, category.comp_id] }
+            one_hom' := by ext X; dsimp; simp only [category.comp_id]
+            mul_hom' := by ext X; dsimp; simp only [tensor_id, category.id_comp, category.comp_id] }
         inv :=
           { Hom := { app := fun _ => 𝟙 _ }
-            one_hom' := by
-              ext X
-              dsimp
-              simp only [category.comp_id]
-            mul_hom' := by
-              ext X
-              dsimp
+            one_hom' := by ext X; dsimp; simp only [category.comp_id]
+            mul_hom' := by ext X; dsimp;
               simp only [tensor_id, category.id_comp, category.comp_id] } })
     fun A B f => by
     ext X
Diff
@@ -55,14 +55,14 @@ def functor : Mon_ (C ⥤ D) ⥤ C ⥤ Mon_ D
     where
   obj A :=
     { obj := fun X =>
-        { x := A.x.obj X
+        { pt := A.pt.obj X
           one := A.one.app X
           mul := A.mul.app X
           one_mul' := congr_app A.one_mul X
           mul_one' := congr_app A.mul_one X
           mul_assoc' := congr_app A.mul_assoc X }
       map := fun X Y f =>
-        { Hom := A.x.map f
+        { Hom := A.pt.map f
           one_hom' := by
             rw [← A.one.naturality, tensor_unit_map]
             dsimp
@@ -93,7 +93,7 @@ to a monoid object in the functor category
 def inverse : (C ⥤ Mon_ D) ⥤ Mon_ (C ⥤ D)
     where
   obj F :=
-    { x := F ⋙ Mon_.forget D
+    { pt := F ⋙ Mon_.forget D
       one := { app := fun X => (F.obj X).one }
       mul := { app := fun X => (F.obj X).mul }
       one_mul' := by

Changes in mathlib4

mathlib3
mathlib4
chore(*): remove empty lines between variable statements (#11418)

Empty lines were removed by executing the following Python script twice

import os
import re


# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
  for filename in files:
    if filename.endswith('.lean'):
      file_path = os.path.join(dir_path, filename)

      # Open the file and read its contents
      with open(file_path, 'r') as file:
        content = file.read()

      # Use a regular expression to replace sequences of "variable" lines separated by empty lines
      # with sequences without empty lines
      modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)
Diff
@@ -35,7 +35,6 @@ open CategoryTheory MonoidalCategory
 namespace CategoryTheory.Monoidal
 
 variable (C : Type u₁) [Category.{v₁} C]
-
 variable (D : Type u₂) [Category.{v₂} D] [MonoidalCategory.{v₂} D]
 
 namespace MonFunctorCategoryEquivalence
style: homogenise porting notes (#11145)

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

  • converts "--porting note" into "-- Porting note";
  • converts "porting note" into "Porting note".
Diff
@@ -42,7 +42,7 @@ namespace MonFunctorCategoryEquivalence
 
 variable {C D}
 
--- porting note: the `obj` field of `functor : Mon_ (C ⥤ D) ⥤ C ⥤ Mon_ D` defined below
+-- Porting note: the `obj` field of `functor : Mon_ (C ⥤ D) ⥤ C ⥤ Mon_ D` defined below
 -- had to be defined separately as `Functor.obj` in order to speed up the compilation
 /-- A monoid object in a functor category induces a functor to the category of monoid objects. -/
 @[simps]
@@ -75,7 +75,7 @@ def functor : Mon_ (C ⥤ D) ⥤ C ⥤ Mon_ D where
 set_option linter.uppercaseLean3 false in
 #align category_theory.monoidal.Mon_functor_category_equivalence.functor CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.functor
 
--- porting note: the `obj` field of `inverse : (C ⥤ Mon_ D) ⥤ Mon_ (C ⥤ D)` defined below
+-- Porting note: the `obj` field of `inverse : (C ⥤ Mon_ D) ⥤ Mon_ (C ⥤ D)` defined below
 -- had to be defined separately as `Inverse.obj` in order to speed up the compilation
 /-- A functor to the category of monoid objects can be translated as a monoid object
 in the functor category. -/
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) 2020 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.monoidal.internal.functor_category
-! leanprover-community/mathlib commit f153a85a8dc0a96ce9133fed69e34df72f7f191f
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Monoidal.CommMon_
 import Mathlib.CategoryTheory.Monoidal.FunctorCategory
 
+#align_import category_theory.monoidal.internal.functor_category from "leanprover-community/mathlib"@"f153a85a8dc0a96ce9133fed69e34df72f7f191f"
+
 /-!
 # `Mon_ (C ⥤ D) ≌ C ⥤ Mon_ D`
 
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>

Diff
@@ -49,7 +49,7 @@ variable {C D}
 -- had to be defined separately as `Functor.obj` in order to speed up the compilation
 /-- A monoid object in a functor category induces a functor to the category of monoid objects. -/
 @[simps]
-def Functor.obj (A : Mon_ (C ⥤ D)) : C ⥤ Mon_ D  where
+def Functor.obj (A : Mon_ (C ⥤ D)) : C ⥤ Mon_ D where
   obj X :=
     { X := A.X.obj X
       one := A.one.app X
feat: port CategoryTheory.Monoidal.Internal.FunctorCategory (#5093)

Dependencies 3 + 228

229 files ported (98.7%)
83459 lines ported (98.8%)
Show graph

The unported dependencies are