category_theory.bicategory.single_obj | Mathlib porting status

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

70fd9563

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

61b5e275

bump to nightly-2024-04-14-09

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

f736ea6b

Diff

@@ -109,7 +109,8 @@ noncomputable section
 when we promote a monoidal category to a single object bicategory,
 and the original monoidal category.
 -/
-def endMonoidalStarFunctorIsEquivalence : IsEquivalence (endMonoidalStarFunctor C).toFunctor
+def endMonoidalStarFunctorIsEquivalence :
+    CategoryTheory.Functor.IsEquivalence (endMonoidalStarFunctor C).toFunctor
     where
   inverse :=
     { obj := fun X => X

61b5e275

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 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathbin.CategoryTheory.Bicategory.End
-import Mathbin.CategoryTheory.Monoidal.Functor
+import CategoryTheory.Bicategory.End
+import CategoryTheory.Monoidal.Functor
 
 #align_import category_theory.bicategory.single_obj from "leanprover-community/mathlib"@"61b5e2755ccb464b68d05a9acf891ae04992d09d"

61b5e275

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 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.single_obj
-! leanprover-community/mathlib commit 61b5e2755ccb464b68d05a9acf891ae04992d09d
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Bicategory.End
 import Mathbin.CategoryTheory.Monoidal.Functor
 
+#align_import category_theory.bicategory.single_obj from "leanprover-community/mathlib"@"61b5e2755ccb464b68d05a9acf891ae04992d09d"
+
 /-!
 # Promoting a monoidal category to a single object bicategory.

61b5e275

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -46,7 +46,8 @@ and the morphisms of the monoidal category become the 2-morphisms.)
 -/
 @[nolint unused_arguments]
 def MonoidalSingleObj (C : Type _) [Category C] [MonoidalCategory C] :=
-  PUnit deriving Inhabited
+  PUnit
+deriving Inhabited
 #align category_theory.monoidal_single_obj CategoryTheory.MonoidalSingleObj
 -/
 
@@ -65,12 +66,12 @@ instance : Bicategory (MonoidalSingleObj C)
   associator _ _ _ _ X Y Z := α_ X Y Z
   leftUnitor _ _ X := λ_ X
   rightUnitor _ _ X := ρ_ X
-  comp_whiskerLeft := by intros ; rw [associator_inv_naturality, iso.hom_inv_id_assoc, tensor_id]
-  whisker_assoc := by intros ; rw [associator_inv_naturality, iso.hom_inv_id_assoc]
-  whiskerRight_comp := by intros ; rw [← tensor_id, associator_naturality, iso.inv_hom_id_assoc]
-  id_whiskerLeft := by intros ; rw [left_unitor_inv_naturality, iso.hom_inv_id_assoc]
-  whiskerRight_id := by intros ; rw [right_unitor_inv_naturality, iso.hom_inv_id_assoc]
-  pentagon := by intros ; rw [pentagon]
+  comp_whiskerLeft := by intros; rw [associator_inv_naturality, iso.hom_inv_id_assoc, tensor_id]
+  whisker_assoc := by intros; rw [associator_inv_naturality, iso.hom_inv_id_assoc]
+  whiskerRight_comp := by intros; rw [← tensor_id, associator_naturality, iso.inv_hom_id_assoc]
+  id_whiskerLeft := by intros; rw [left_unitor_inv_naturality, iso.hom_inv_id_assoc]
+  whiskerRight_id := by intros; rw [right_unitor_inv_naturality, iso.hom_inv_id_assoc]
+  pentagon := by intros; rw [pentagon]
 
 namespace MonoidalSingleObj

61b5e275

bump to nightly-2023-06-01-04

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

4d9eaa85

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.single_obj
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
+! leanprover-community/mathlib commit 61b5e2755ccb464b68d05a9acf891ae04992d09d
 ! 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.Functor
 /-!
 # Promoting a monoidal category to a single object bicategory.
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 A monoidal category can be thought of as a bicategory with a single object.
 
 The objects of the monoidal category become the 1-morphisms,
@@ -35,6 +38,7 @@ namespace CategoryTheory
 
 variable (C : Type _) [Category C] [MonoidalCategory C]
 
+#print CategoryTheory.MonoidalSingleObj /-
 /-- Promote a monoidal category to a bicategory with a single object.
 (The objects of the monoidal category become the 1-morphisms,
 with composition given by tensor product,
@@ -44,6 +48,7 @@ and the morphisms of the monoidal category become the 2-morphisms.)
 def MonoidalSingleObj (C : Type _) [Category C] [MonoidalCategory C] :=
   PUnit deriving Inhabited
 #align category_theory.monoidal_single_obj CategoryTheory.MonoidalSingleObj
+-/
 
 open MonoidalCategory
 
@@ -69,12 +74,15 @@ instance : Bicategory (MonoidalSingleObj C)
 
 namespace MonoidalSingleObj
 
+#print CategoryTheory.MonoidalSingleObj.star /-
 /-- The unique object in the bicategory obtained by "promoting" a monoidal category. -/
 @[nolint unused_arguments]
 protected def star : MonoidalSingleObj C :=
   PUnit.unit
 #align category_theory.monoidal_single_obj.star CategoryTheory.MonoidalSingleObj.star
+-/
 
+#print CategoryTheory.MonoidalSingleObj.endMonoidalStarFunctor /-
 /-- The monoidal functor from the endomorphisms of the single object
 when we promote a monoidal category to a single object bicategory,
 to the original monoidal category.
@@ -94,9 +102,11 @@ def endMonoidalStarFunctor : MonoidalFunctor (EndMonoidal (MonoidalSingleObj.sta
     -- Should we provide further simp lemmas so this goal becomes visible?
     exact (tensor_id_comp_id_tensor _ _).symm
 #align category_theory.monoidal_single_obj.End_monoidal_star_functor CategoryTheory.MonoidalSingleObj.endMonoidalStarFunctor
+-/
 
 noncomputable section
 
+#print CategoryTheory.MonoidalSingleObj.endMonoidalStarFunctorIsEquivalence /-
 /-- The equivalence between the endomorphisms of the single object
 when we promote a monoidal category to a single object bicategory,
 and the original monoidal category.
@@ -109,6 +119,7 @@ def endMonoidalStarFunctorIsEquivalence : IsEquivalence (endMonoidalStarFunctor
   unitIso := NatIso.ofComponents (fun X => asIso (𝟙 _)) (by tidy)
   counitIso := NatIso.ofComponents (fun X => asIso (𝟙 _)) (by tidy)
 #align category_theory.monoidal_single_obj.End_monoidal_star_functor_is_equivalence CategoryTheory.MonoidalSingleObj.endMonoidalStarFunctorIsEquivalence
+-/
 
 end MonoidalSingleObj

70fd9563

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -60,24 +60,12 @@ instance : Bicategory (MonoidalSingleObj C)
   associator _ _ _ _ X Y Z := α_ X Y Z
   leftUnitor _ _ X := λ_ X
   rightUnitor _ _ X := ρ_ X
-  comp_whiskerLeft := by
-    intros
-    rw [associator_inv_naturality, iso.hom_inv_id_assoc, tensor_id]
-  whisker_assoc := by
-    intros
-    rw [associator_inv_naturality, iso.hom_inv_id_assoc]
-  whiskerRight_comp := by
-    intros
-    rw [← tensor_id, associator_naturality, iso.inv_hom_id_assoc]
-  id_whiskerLeft := by
-    intros
-    rw [left_unitor_inv_naturality, iso.hom_inv_id_assoc]
-  whiskerRight_id := by
-    intros
-    rw [right_unitor_inv_naturality, iso.hom_inv_id_assoc]
-  pentagon := by
-    intros
-    rw [pentagon]
+  comp_whiskerLeft := by intros ; rw [associator_inv_naturality, iso.hom_inv_id_assoc, tensor_id]
+  whisker_assoc := by intros ; rw [associator_inv_naturality, iso.hom_inv_id_assoc]
+  whiskerRight_comp := by intros ; rw [← tensor_id, associator_naturality, iso.inv_hom_id_assoc]
+  id_whiskerLeft := by intros ; rw [left_unitor_inv_naturality, iso.hom_inv_id_assoc]
+  whiskerRight_id := by intros ; rw [right_unitor_inv_naturality, iso.hom_inv_id_assoc]
+  pentagon := by intros ; rw [pentagon]
 
 namespace MonoidalSingleObj

70fd9563

bump to nightly-2023-03-04-12

mathlib commit https://github.com/leanprover-community/mathlib/commit/62e8311c791f02c47451bf14aa2501048e7c2f33

726b2da6

Diff

@@ -60,22 +60,22 @@ instance : Bicategory (MonoidalSingleObj C)
   associator _ _ _ _ X Y Z := α_ X Y Z
   leftUnitor _ _ X := λ_ X
   rightUnitor _ _ X := ρ_ X
-  comp_whisker_left' := by
+  comp_whiskerLeft := by
     intros
     rw [associator_inv_naturality, iso.hom_inv_id_assoc, tensor_id]
-  whisker_assoc' := by
+  whisker_assoc := by
     intros
     rw [associator_inv_naturality, iso.hom_inv_id_assoc]
-  whiskerRight_comp' := by
+  whiskerRight_comp := by
     intros
     rw [← tensor_id, associator_naturality, iso.inv_hom_id_assoc]
-  id_whisker_left' := by
+  id_whiskerLeft := by
     intros
     rw [left_unitor_inv_naturality, iso.hom_inv_id_assoc]
-  whiskerRight_id' := by
+  whiskerRight_id := by
     intros
     rw [right_unitor_inv_naturality, iso.hom_inv_id_assoc]
-  pentagon' := by
+  pentagon := by
     intros
     rw [pentagon]

70fd9563

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

70fd9563

chore(CategoryTheory): move Full, Faithful, EssSurj, IsEquivalence and ReflectsIsomorphisms to the Functor namespace (#11985)

These notions on functors are now Functor.Full, Functor.Faithful, Functor.EssSurj, Functor.IsEquivalence, Functor.ReflectsIsomorphisms. Deprecated aliases are introduced for the previous names.

65b7affc

Diff

@@ -87,7 +87,7 @@ when we promote a monoidal category to a single object bicategory,
 and the original monoidal category.
 -/
 noncomputable def endMonoidalStarFunctorIsEquivalence :
-    IsEquivalence (endMonoidalStarFunctor C).toFunctor where
+    (endMonoidalStarFunctor C).IsEquivalence where
   inverse :=
     { obj := fun X => X
       map := fun f => f }

70fd9563

feat(CategoryTheory/Monoidal): replace 𝟙 X ⊗ f with X ◁ f (#10912)

We set id_tensorHom and tensorHom_id as simp lemmas. Partially extracted from #6307.

8a40b522

Diff

@@ -68,8 +68,6 @@ protected def star : MonoidalSingleObj C :=
   PUnit.unit
 #align category_theory.monoidal_single_obj.star CategoryTheory.MonoidalSingleObj.star
 
-attribute [local simp] id_tensorHom tensorHom_id in
-
 /-- The monoidal functor from the endomorphisms of the single object
 when we promote a monoidal category to a single object bicategory,
 to the original monoidal category.

70fd9563

feat(CategoryTheory/Monoidal): partially setting simp lemmas (#10061)

Extracted from #6307. The main reason why #6307 is so large is that many tensoring of identity morphisms that appear in mathlib should be replaced with whiskerings. This PR will leave this issue and deal with other parts. That is, we do not set id_tensorHom and tensorHom_id as simple lemmas at this moment, We can set them as simp lemmas locally to enable simple normal forms.

ec497096

Diff

@@ -53,18 +53,12 @@ instance : Bicategory (MonoidalSingleObj C) where
   Hom _ _ := C
   id _ := 𝟙_ C
   comp X Y := tensorObj X Y
-  whiskerLeft X Y Z f := tensorHom (𝟙 X) f
-  whiskerRight f Z := tensorHom f (𝟙 Z)
+  whiskerLeft X Y Z f := X ◁ f
+  whiskerRight f Z := f ▷ Z
   associator X Y Z := α_ X Y Z
   leftUnitor X := λ_ X
   rightUnitor X := ρ_ X
-  comp_whiskerLeft _ _ _ _ _ := by
-    simp_rw [associator_inv_naturality, Iso.hom_inv_id_assoc, tensor_id]
-  whisker_assoc _ _ _ _ _ := by simp_rw [associator_inv_naturality, Iso.hom_inv_id_assoc]
-  whiskerRight_comp _ _ _ := by simp_rw [← tensor_id, associator_naturality, Iso.inv_hom_id_assoc]
-  id_whiskerLeft _ := by simp_rw [leftUnitor_inv_naturality, Iso.hom_inv_id_assoc]
-  whiskerRight_id _ := by simp_rw [rightUnitor_inv_naturality, Iso.hom_inv_id_assoc]
-  pentagon _ _ _ _ := by simp_rw [pentagon]
+  whisker_exchange := whisker_exchange
 
 namespace MonoidalSingleObj
 
@@ -74,6 +68,8 @@ protected def star : MonoidalSingleObj C :=
   PUnit.unit
 #align category_theory.monoidal_single_obj.star CategoryTheory.MonoidalSingleObj.star
 
+attribute [local simp] id_tensorHom tensorHom_id in
+
 /-- The monoidal functor from the endomorphisms of the single object
 when we promote a monoidal category to a single object bicategory,
 to the original monoidal category.
@@ -86,15 +82,6 @@ def endMonoidalStarFunctor : MonoidalFunctor (EndMonoidal (MonoidalSingleObj.sta
   map f := f
   ε := 𝟙 _
   μ X Y := 𝟙 _
-  -- The proof will be automated after merging #6307.
-  μ_natural_left f g := by
-    simp_rw [Category.id_comp, Category.comp_id]
-    -- Should we provide further simp lemmas so this goal becomes visible?
-    exact (tensor_id_comp_id_tensor _ _).symm
-  μ_natural_right f g := by
-    simp_rw [Category.id_comp, Category.comp_id]
-    -- Should we provide further simp lemmas so this goal becomes visible?
-    exact (tensor_id_comp_id_tensor _ _).symm
 #align category_theory.monoidal_single_obj.End_monoidal_star_functor CategoryTheory.MonoidalSingleObj.endMonoidalStarFunctor
 
 /-- The equivalence between the endomorphisms of the single object

70fd9563

refactor(CategoryTheory/Monoidal): split the naturality condition of monoidal functors (#9988)

Extracted from #6307. We replace μ_natural with μ_natural_left and μ_natural_right since we prefer to use the whiskerings to the tensor of morphisms in the refactor #6307.

2e59248d

Diff

@@ -86,7 +86,12 @@ def endMonoidalStarFunctor : MonoidalFunctor (EndMonoidal (MonoidalSingleObj.sta
   map f := f
   ε := 𝟙 _
   μ X Y := 𝟙 _
-  μ_natural f g := by
+  -- The proof will be automated after merging #6307.
+  μ_natural_left f g := by
+    simp_rw [Category.id_comp, Category.comp_id]
+    -- Should we provide further simp lemmas so this goal becomes visible?
+    exact (tensor_id_comp_id_tensor _ _).symm
+  μ_natural_right f g := by
     simp_rw [Category.id_comp, Category.comp_id]
     -- Should we provide further simp lemmas so this goal becomes visible?
     exact (tensor_id_comp_id_tensor _ _).symm

70fd9563

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.

32de3f67

Diff

@@ -30,7 +30,7 @@ is equivalent to the bicategory consisting of
 
 namespace CategoryTheory
 
-variable (C : Type _) [Category C] [MonoidalCategory C]
+variable (C : Type*) [Category C] [MonoidalCategory C]
 
 /-- Promote a monoidal category to a bicategory with a single object.
 (The objects of the monoidal category become the 1-morphisms,
@@ -38,7 +38,7 @@ with composition given by tensor product,
 and the morphisms of the monoidal category become the 2-morphisms.)
 -/
 @[nolint unusedArguments]
-def MonoidalSingleObj (C : Type _) [Category C] [MonoidalCategory C] :=
+def MonoidalSingleObj (C : Type*) [Category C] [MonoidalCategory C] :=
   PUnit --deriving Inhabited
 #align category_theory.monoidal_single_obj CategoryTheory.MonoidalSingleObj

70fd9563

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 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.single_obj
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Bicategory.End
 import Mathlib.CategoryTheory.Monoidal.Functor
 
+#align_import category_theory.bicategory.single_obj from "leanprover-community/mathlib"@"70fd9563a21e7b963887c9360bd29b2393e6225a"
+
 /-!
 # Promoting a monoidal category to a single object bicategory.

70fd9563

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

@@ -104,8 +104,8 @@ noncomputable def endMonoidalStarFunctorIsEquivalence :
   inverse :=
     { obj := fun X => X
       map := fun f => f }
-  unitIso := NatIso.ofComponents (fun X => asIso (𝟙 _)) (by simp)
-  counitIso := NatIso.ofComponents (fun X => asIso (𝟙 _)) (by simp)
+  unitIso := NatIso.ofComponents fun X => asIso (𝟙 _)
+  counitIso := NatIso.ofComponents fun X => asIso (𝟙 _)
 #align category_theory.monoidal_single_obj.End_monoidal_star_functor_is_equivalence CategoryTheory.MonoidalSingleObj.endMonoidalStarFunctorIsEquivalence
 
 end MonoidalSingleObj

70fd9563

feat: port CategoryTheory.Bicategory.SingleObj (#4489)

90015422

`category_theory.bicategory.single_obj` ⟷ `Mathlib.CategoryTheory.Bicategory.SingleObj`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 20

category_theory.bicategory.single_obj ⟷ Mathlib.CategoryTheory.Bicategory.SingleObj

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 20

`category_theory.bicategory.single_obj` ⟷ `Mathlib.CategoryTheory.Bicategory.SingleObj`