category_theory.bicategory.functor_bicategory
⟷
Mathlib.CategoryTheory.Bicategory.FunctorBicategory
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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mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,7 +3,7 @@ Copyright (c) 2022 Yuma Mizuno. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuma Mizuno
-/
-import Mathbin.CategoryTheory.Bicategory.NaturalTransformation
+import CategoryTheory.Bicategory.NaturalTransformation
#align_import category_theory.bicategory.functor_bicategory from "leanprover-community/mathlib"@"44e2ae8cffc713925494e4975ee31ec1d06929b3"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,14 +2,11 @@
Copyright (c) 2022 Yuma Mizuno. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuma Mizuno
-
-! This file was ported from Lean 3 source module category_theory.bicategory.functor_bicategory
-! leanprover-community/mathlib commit 44e2ae8cffc713925494e4975ee31ec1d06929b3
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.CategoryTheory.Bicategory.NaturalTransformation
+#align_import category_theory.bicategory.functor_bicategory from "leanprover-community/mathlib"@"44e2ae8cffc713925494e4975ee31ec1d06929b3"
+
/-!
# The bicategory of oplax functors between two bicategories
mathlib commit https://github.com/leanprover-community/mathlib/commit/8efcf8022aac8e01df8d302dcebdbc25d6a886c8
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuma Mizuno
! This file was ported from Lean 3 source module category_theory.bicategory.functor_bicategory
-! leanprover-community/mathlib commit 4ff75f5b8502275a4c2eb2d2f02bdf84d7fb8993
+! leanprover-community/mathlib commit 44e2ae8cffc713925494e4975ee31ec1d06929b3
! 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.Bicategory.NaturalTransformation
/-!
# The bicategory of oplax functors between two bicategories
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
Given bicategories `B` and `C`, we give a bicategory structure on `oplax_functor B C` whose
* objects are oplax functors,
* 1-morphisms are oplax natural transformations, and
mathlib commit https://github.com/leanprover-community/mathlib/commit/ccdbfb6e5614667af5aa3ab2d50885e0ef44a46f
@@ -34,6 +34,7 @@ variable {F G H I : OplaxFunctor B C}
namespace OplaxNatTrans
+#print CategoryTheory.OplaxNatTrans.whiskerLeft /-
/-- Left whiskering of an oplax natural transformation and a modification. -/
@[simps]
def whiskerLeft (η : F ⟶ G) {θ ι : G ⟶ H} (Γ : θ ⟶ ι) : η ≫ θ ⟶ η ≫ ι
@@ -42,7 +43,9 @@ def whiskerLeft (η : F ⟶ G) {θ ι : G ⟶ H} (Γ : θ ⟶ ι) : η ≫ θ
naturality a b f := by dsimp; rw [associator_inv_naturality_right_assoc, whisker_exchange_assoc];
simp
#align category_theory.oplax_nat_trans.whisker_left CategoryTheory.OplaxNatTrans.whiskerLeft
+-/
+#print CategoryTheory.OplaxNatTrans.whiskerRight /-
/-- Right whiskering of an oplax natural transformation and a modification. -/
@[simps]
def whiskerRight {η θ : F ⟶ G} (Γ : η ⟶ θ) (ι : G ⟶ H) : η ≫ ι ⟶ θ ≫ ι
@@ -51,29 +54,37 @@ def whiskerRight {η θ : F ⟶ G} (Γ : η ⟶ θ) (ι : G ⟶ H) : η ≫ ι
naturality a b f := by dsimp;
simp_rw [assoc, ← associator_inv_naturality_left, whisker_exchange_assoc]; simp
#align category_theory.oplax_nat_trans.whisker_right CategoryTheory.OplaxNatTrans.whiskerRight
+-/
+#print CategoryTheory.OplaxNatTrans.associator /-
/-- Associator for the vertical composition of oplax natural transformations. -/
@[simps]
def associator (η : F ⟶ G) (θ : G ⟶ H) (ι : H ⟶ I) : (η ≫ θ) ≫ ι ≅ η ≫ θ ≫ ι :=
ModificationIso.ofComponents (fun a => α_ (η.app a) (θ.app a) (ι.app a)) (by tidy)
#align category_theory.oplax_nat_trans.associator CategoryTheory.OplaxNatTrans.associator
+-/
+#print CategoryTheory.OplaxNatTrans.leftUnitor /-
/-- Left unitor for the vertical composition of oplax natural transformations. -/
@[simps]
def leftUnitor (η : F ⟶ G) : 𝟙 F ≫ η ≅ η :=
ModificationIso.ofComponents (fun a => λ_ (η.app a)) (by tidy)
#align category_theory.oplax_nat_trans.left_unitor CategoryTheory.OplaxNatTrans.leftUnitor
+-/
+#print CategoryTheory.OplaxNatTrans.rightUnitor /-
/-- Right unitor for the vertical composition of oplax natural transformations. -/
@[simps]
def rightUnitor (η : F ⟶ G) : η ≫ 𝟙 G ≅ η :=
ModificationIso.ofComponents (fun a => ρ_ (η.app a)) (by tidy)
#align category_theory.oplax_nat_trans.right_unitor CategoryTheory.OplaxNatTrans.rightUnitor
+-/
end OplaxNatTrans
variable (B C)
+#print CategoryTheory.OplaxFunctor.bicategory /-
/-- A bicategory structure on the oplax functors between bicategories. -/
@[simps]
instance OplaxFunctor.bicategory : Bicategory (OplaxFunctor B C)
@@ -85,6 +96,7 @@ instance OplaxFunctor.bicategory : Bicategory (OplaxFunctor B C)
rightUnitor F G := OplaxNatTrans.rightUnitor
whisker_exchange := by intros; ext; apply whisker_exchange
#align category_theory.oplax_functor.bicategory CategoryTheory.OplaxFunctor.bicategory
+-/
end CategoryTheory
mathlib commit https://github.com/leanprover-community/mathlib/commit/13361559d66b84f80b6d5a1c4a26aa5054766725
@@ -39,7 +39,7 @@ namespace OplaxNatTrans
def whiskerLeft (η : F ⟶ G) {θ ι : G ⟶ H} (Γ : θ ⟶ ι) : η ≫ θ ⟶ η ≫ ι
where
app a := η.app a ◁ Γ.app a
- naturality' a b f := by dsimp; rw [associator_inv_naturality_right_assoc, whisker_exchange_assoc];
+ naturality a b f := by dsimp; rw [associator_inv_naturality_right_assoc, whisker_exchange_assoc];
simp
#align category_theory.oplax_nat_trans.whisker_left CategoryTheory.OplaxNatTrans.whiskerLeft
@@ -48,7 +48,7 @@ def whiskerLeft (η : F ⟶ G) {θ ι : G ⟶ H} (Γ : θ ⟶ ι) : η ≫ θ
def whiskerRight {η θ : F ⟶ G} (Γ : η ⟶ θ) (ι : G ⟶ H) : η ≫ ι ⟶ θ ≫ ι
where
app a := Γ.app a ▷ ι.app a
- naturality' a b f := by dsimp;
+ naturality a b f := by dsimp;
simp_rw [assoc, ← associator_inv_naturality_left, whisker_exchange_assoc]; simp
#align category_theory.oplax_nat_trans.whisker_right CategoryTheory.OplaxNatTrans.whiskerRight
mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb
@@ -83,7 +83,7 @@ instance OplaxFunctor.bicategory : Bicategory (OplaxFunctor B C)
associator F G H I := OplaxNatTrans.associator
leftUnitor F G := OplaxNatTrans.leftUnitor
rightUnitor F G := OplaxNatTrans.rightUnitor
- whisker_exchange := by intros ; ext; apply whisker_exchange
+ whisker_exchange := by intros; ext; apply whisker_exchange
#align category_theory.oplax_functor.bicategory CategoryTheory.OplaxFunctor.bicategory
end CategoryTheory
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -24,7 +24,7 @@ namespace CategoryTheory
open Category Bicategory
-open Bicategory
+open scoped Bicategory
universe w₁ w₂ v₁ v₂ u₁ u₂
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -39,9 +39,7 @@ namespace OplaxNatTrans
def whiskerLeft (η : F ⟶ G) {θ ι : G ⟶ H} (Γ : θ ⟶ ι) : η ≫ θ ⟶ η ≫ ι
where
app a := η.app a ◁ Γ.app a
- naturality' a b f := by
- dsimp
- rw [associator_inv_naturality_right_assoc, whisker_exchange_assoc]
+ naturality' a b f := by dsimp; rw [associator_inv_naturality_right_assoc, whisker_exchange_assoc];
simp
#align category_theory.oplax_nat_trans.whisker_left CategoryTheory.OplaxNatTrans.whiskerLeft
@@ -50,10 +48,8 @@ def whiskerLeft (η : F ⟶ G) {θ ι : G ⟶ H} (Γ : θ ⟶ ι) : η ≫ θ
def whiskerRight {η θ : F ⟶ G} (Γ : η ⟶ θ) (ι : G ⟶ H) : η ≫ ι ⟶ θ ≫ ι
where
app a := Γ.app a ▷ ι.app a
- naturality' a b f := by
- dsimp
- simp_rw [assoc, ← associator_inv_naturality_left, whisker_exchange_assoc]
- simp
+ naturality' a b f := by dsimp;
+ simp_rw [assoc, ← associator_inv_naturality_left, whisker_exchange_assoc]; simp
#align category_theory.oplax_nat_trans.whisker_right CategoryTheory.OplaxNatTrans.whiskerRight
/-- Associator for the vertical composition of oplax natural transformations. -/
@@ -87,10 +83,7 @@ instance OplaxFunctor.bicategory : Bicategory (OplaxFunctor B C)
associator F G H I := OplaxNatTrans.associator
leftUnitor F G := OplaxNatTrans.leftUnitor
rightUnitor F G := OplaxNatTrans.rightUnitor
- whisker_exchange := by
- intros
- ext
- apply whisker_exchange
+ whisker_exchange := by intros ; ext; apply whisker_exchange
#align category_theory.oplax_functor.bicategory CategoryTheory.OplaxFunctor.bicategory
end CategoryTheory
mathlib commit https://github.com/leanprover-community/mathlib/commit/62e8311c791f02c47451bf14aa2501048e7c2f33
@@ -87,7 +87,7 @@ instance OplaxFunctor.bicategory : Bicategory (OplaxFunctor B C)
associator F G H I := OplaxNatTrans.associator
leftUnitor F G := OplaxNatTrans.leftUnitor
rightUnitor F G := OplaxNatTrans.rightUnitor
- whisker_exchange' := by
+ whisker_exchange := by
intros
ext
apply whisker_exchange
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
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)
@@ -26,7 +26,6 @@ open scoped Bicategory
universe w₁ w₂ v₁ v₂ u₁ u₂
variable {B : Type u₁} [Bicategory.{w₁, v₁} B] {C : Type u₂} [Bicategory.{w₂, v₂} C]
-
variable {F G H I : OplaxFunctor B C}
namespace OplaxNatTrans
@@ -2,14 +2,11 @@
Copyright (c) 2022 Yuma Mizuno. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuma Mizuno
-
-! This file was ported from Lean 3 source module category_theory.bicategory.functor_bicategory
-! leanprover-community/mathlib commit 4ff75f5b8502275a4c2eb2d2f02bdf84d7fb8993
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.CategoryTheory.Bicategory.NaturalTransformation
+#align_import category_theory.bicategory.functor_bicategory from "leanprover-community/mathlib"@"4ff75f5b8502275a4c2eb2d2f02bdf84d7fb8993"
+
/-!
# The bicategory of oplax functors between two bicategories
All dependencies are ported!