category_theory.bicategory.natural_transformation

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

4ff75f5b

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

36938f77

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -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.Functor
+import CategoryTheory.Bicategory.Functor
 
 #align_import category_theory.bicategory.natural_transformation from "leanprover-community/mathlib"@"36938f775671ff28bea1c0310f1608e4afbb22e0"

36938f77

bump to nightly-2023-09-06-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/442a83d738cb208d3600056c489be16900ba701d

f3106448

Diff

@@ -67,12 +67,6 @@ structure OplaxNatTrans (F G : OplaxFunctor B C) where
 #align category_theory.oplax_nat_trans CategoryTheory.OplaxNatTrans
 -/
 
-restate_axiom oplax_nat_trans.naturality_naturality'
-
-restate_axiom oplax_nat_trans.naturality_id'
-
-restate_axiom oplax_nat_trans.naturality_comp'
-
 attribute [simp, reassoc] oplax_nat_trans.naturality_naturality oplax_nat_trans.naturality_id
   oplax_nat_trans.naturality_comp
 
@@ -229,8 +223,6 @@ structure Modification (η θ : F ⟶ G) where
 #align category_theory.oplax_nat_trans.modification CategoryTheory.OplaxNatTrans.Modification
 -/
 
-restate_axiom modification.naturality'
-
 attribute [simp, reassoc] modification.naturality
 
 variable {η θ ι : F ⟶ G}

36938f77

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -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.natural_transformation
-! leanprover-community/mathlib commit 36938f775671ff28bea1c0310f1608e4afbb22e0
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Bicategory.Functor
 
+#align_import category_theory.bicategory.natural_transformation from "leanprover-community/mathlib"@"36938f775671ff28bea1c0310f1608e4afbb22e0"
+
 /-!
 # Oplax natural transformations

36938f77

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -103,20 +103,25 @@ section
 
 variable {a b c : B} {a' : C}
 
+#print CategoryTheory.OplaxNatTrans.whiskerLeft_naturality_naturality /-
 @[simp, reassoc]
 theorem whiskerLeft_naturality_naturality (f : a' ⟶ G.obj a) {g h : a ⟶ b} (β : g ⟶ h) :
     f ◁ G.zipWith β ▷ θ.app b ≫ f ◁ θ.naturality h =
       f ◁ θ.naturality g ≫ f ◁ θ.app a ◁ H.zipWith β :=
   by simp_rw [← bicategory.whisker_left_comp, naturality_naturality]
 #align category_theory.oplax_nat_trans.whisker_left_naturality_naturality CategoryTheory.OplaxNatTrans.whiskerLeft_naturality_naturality
+-/
 
+#print CategoryTheory.OplaxNatTrans.whiskerRight_naturality_naturality /-
 @[simp, reassoc]
 theorem whiskerRight_naturality_naturality {f g : a ⟶ b} (β : f ⟶ g) (h : G.obj b ⟶ a') :
     F.zipWith β ▷ η.app b ▷ h ≫ η.naturality g ▷ h =
       η.naturality f ▷ h ≫ (α_ _ _ _).Hom ≫ η.app a ◁ G.zipWith β ▷ h ≫ (α_ _ _ _).inv :=
   by rw [← comp_whisker_right, naturality_naturality, comp_whisker_right, whisker_assoc]
 #align category_theory.oplax_nat_trans.whisker_right_naturality_naturality CategoryTheory.OplaxNatTrans.whiskerRight_naturality_naturality
+-/
 
+#print CategoryTheory.OplaxNatTrans.whiskerLeft_naturality_comp /-
 @[simp, reassoc]
 theorem whiskerLeft_naturality_comp (f : a' ⟶ G.obj a) (g : a ⟶ b) (h : b ⟶ c) :
     f ◁ θ.naturality (g ≫ h) ≫ f ◁ θ.app a ◁ H.map_comp g h =
@@ -126,7 +131,9 @@ theorem whiskerLeft_naturality_comp (f : a' ⟶ G.obj a) (g : a ⟶ b) (h : b 
             f ◁ (α_ _ _ _).inv ≫ f ◁ θ.naturality g ▷ H.map h ≫ f ◁ (α_ _ _ _).Hom :=
   by simp_rw [← bicategory.whisker_left_comp, naturality_comp]
 #align category_theory.oplax_nat_trans.whisker_left_naturality_comp CategoryTheory.OplaxNatTrans.whiskerLeft_naturality_comp
+-/
 
+#print CategoryTheory.OplaxNatTrans.whiskerRight_naturality_comp /-
 @[simp, reassoc]
 theorem whiskerRight_naturality_comp (f : a ⟶ b) (g : b ⟶ c) (h : G.obj c ⟶ a') :
     η.naturality (f ≫ g) ▷ h ≫ (α_ _ _ _).Hom ≫ η.app a ◁ G.map_comp f g ▷ h =
@@ -139,20 +146,25 @@ theorem whiskerRight_naturality_comp (f : a ⟶ b) (g : b ⟶ c) (h : G.obj c 
                   η.naturality f ▷ G.map g ▷ h ≫ (α_ _ _ _).Hom ▷ h ≫ (α_ _ _ _).Hom :=
   by rw [← associator_naturality_middle, ← comp_whisker_right_assoc, naturality_comp]; simp
 #align category_theory.oplax_nat_trans.whisker_right_naturality_comp CategoryTheory.OplaxNatTrans.whiskerRight_naturality_comp
+-/
 
+#print CategoryTheory.OplaxNatTrans.whiskerLeft_naturality_id /-
 @[simp, reassoc]
 theorem whiskerLeft_naturality_id (f : a' ⟶ G.obj a) :
     f ◁ θ.naturality (𝟙 a) ≫ f ◁ θ.app a ◁ H.map_id a =
       f ◁ G.map_id a ▷ θ.app a ≫ f ◁ (λ_ (θ.app a)).Hom ≫ f ◁ (ρ_ (θ.app a)).inv :=
   by simp_rw [← bicategory.whisker_left_comp, naturality_id]
 #align category_theory.oplax_nat_trans.whisker_left_naturality_id CategoryTheory.OplaxNatTrans.whiskerLeft_naturality_id
+-/
 
+#print CategoryTheory.OplaxNatTrans.whiskerRight_naturality_id /-
 @[simp, reassoc]
 theorem whiskerRight_naturality_id (f : G.obj a ⟶ a') :
     η.naturality (𝟙 a) ▷ f ≫ (α_ _ _ _).Hom ≫ η.app a ◁ G.map_id a ▷ f =
       F.map_id a ▷ η.app a ▷ f ≫ (λ_ (η.app a)).Hom ▷ f ≫ (ρ_ (η.app a)).inv ▷ f ≫ (α_ _ _ _).Hom :=
   by rw [← associator_naturality_middle, ← comp_whisker_right_assoc, naturality_id]; simp
 #align category_theory.oplax_nat_trans.whisker_right_naturality_id CategoryTheory.OplaxNatTrans.whiskerRight_naturality_id
+-/
 
 end
 
@@ -246,18 +258,22 @@ section
 
 variable (Γ : Modification η θ) {a b c : B} {a' : C}
 
+#print CategoryTheory.OplaxNatTrans.Modification.whiskerLeft_naturality /-
 @[simp, reassoc]
 theorem whiskerLeft_naturality (f : a' ⟶ F.obj b) (g : b ⟶ c) :
     f ◁ F.map g ◁ Γ.app c ≫ f ◁ θ.naturality g = f ◁ η.naturality g ≫ f ◁ Γ.app b ▷ G.map g := by
   simp_rw [← bicategory.whisker_left_comp, naturality]
 #align category_theory.oplax_nat_trans.modification.whisker_left_naturality CategoryTheory.OplaxNatTrans.Modification.whiskerLeft_naturality
+-/
 
+#print CategoryTheory.OplaxNatTrans.Modification.whiskerRight_naturality /-
 @[simp, reassoc]
 theorem whiskerRight_naturality (f : a ⟶ b) (g : G.obj b ⟶ a') :
     F.map f ◁ Γ.app b ▷ g ≫ (α_ _ _ _).inv ≫ θ.naturality f ▷ g =
       (α_ _ _ _).inv ≫ η.naturality f ▷ g ≫ Γ.app a ▷ G.map f ▷ g :=
   by simp_rw [associator_inv_naturality_middle_assoc, ← comp_whisker_right, naturality]
 #align category_theory.oplax_nat_trans.modification.whisker_right_naturality CategoryTheory.OplaxNatTrans.Modification.whiskerRight_naturality
+-/
 
 end
 
@@ -282,6 +298,7 @@ instance category (F G : OplaxFunctor B C) : Category (F ⟶ G)
 #align category_theory.oplax_nat_trans.category CategoryTheory.OplaxNatTrans.category
 -/
 
+#print CategoryTheory.OplaxNatTrans.ModificationIso.ofComponents /-
 /-- Construct a modification isomorphism between oplax natural transformations
 by giving object level isomorphisms, and checking naturality only in the forward direction.
 -/
@@ -297,6 +314,7 @@ def ModificationIso.ofComponents (app : ∀ a, η.app a ≅ θ.app a)
       naturality := fun a b f => by
         simpa using congr_arg (fun f => _ ◁ (app b).inv ≫ f ≫ (app a).inv ▷ _) (naturality f).symm }
 #align category_theory.oplax_nat_trans.modification_iso.of_components CategoryTheory.OplaxNatTrans.ModificationIso.ofComponents
+-/
 
 end

36938f77

bump to nightly-2023-06-09-07

mathlib commit https://github.com/leanprover-community/mathlib/commit/7e5137f579de09a059a5ce98f364a04e221aabf0

16afdc39

Diff

@@ -179,7 +179,6 @@ def vcomp (η : OplaxNatTrans F G) (θ : OplaxNatTrans G H) : OplaxNatTrans F H
                         _ ≫ η.app a ◁ θ.naturality f ▷ H.map g ≫ _ :=
         _
       _ = _ := _
-      
     exact (α_ _ _ _).inv
     exact (α_ _ _ _).Hom ▷ _ ≫ (α_ _ _ _).Hom
     exact _ ◁ (α_ _ _ _).Hom ≫ (α_ _ _ _).inv

36938f77

bump to nightly-2023-06-07-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/58a272265b5e05f258161260dd2c5d247213cbd3

831e78ce

Diff

@@ -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.natural_transformation
-! leanprover-community/mathlib commit 4ff75f5b8502275a4c2eb2d2f02bdf84d7fb8993
+! leanprover-community/mathlib commit 36938f775671ff28bea1c0310f1608e4afbb22e0
 ! 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.Functor
 /-!
 # Oplax natural transformations
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 Just as there are natural transformations between functors, there are oplax natural transformations
 between oplax functors. The equality in the naturality of natural transformations is replaced by a
 specified 2-morphism `F.map f ≫ app b ⟶ app a ≫ G.map f` in the case of oplax natural

4ff75f5b

bump to nightly-2023-06-05-04

mathlib commit https://github.com/leanprover-community/mathlib/commit/13361559d66b84f80b6d5a1c4a26aa5054766725

a1999d1f

Diff

@@ -38,6 +38,7 @@ universe w₁ w₂ v₁ v₂ u₁ u₂
 
 variable {B : Type u₁} [Bicategory.{w₁, v₁} B] {C : Type u₂} [Bicategory.{w₂, v₂} C]
 
+#print CategoryTheory.OplaxNatTrans /-
 /-- If `η` is an oplax natural transformation between `F` and `G`, we have a 1-morphism
 `η.app a : F.obj a ⟶ G.obj a` for each object `a : B`. We also have a 2-morphism
 `η.naturality f : F.map f ≫ app b ⟶ app a ≫ G.map f` for each 1-morphism `f : a ⟶ b`.
@@ -47,16 +48,16 @@ the compositions modulo some adjustments of domains and codomains of 2-morphisms
 structure OplaxNatTrans (F G : OplaxFunctor B C) where
   app (a : B) : F.obj a ⟶ G.obj a
   naturality {a b : B} (f : a ⟶ b) : F.map f ≫ app b ⟶ app a ≫ G.map f
-  naturality_naturality' :
+  naturality_naturality :
     ∀ {a b : B} {f g : a ⟶ b} (η : f ⟶ g),
       F.zipWith η ▷ app b ≫ naturality g = naturality f ≫ app a ◁ G.zipWith η := by
     obviously
-  naturality_id' :
+  naturality_id :
     ∀ a : B,
       naturality (𝟙 a) ≫ app a ◁ G.map_id a =
         F.map_id a ▷ app a ≫ (λ_ (app a)).Hom ≫ (ρ_ (app a)).inv := by
     obviously
-  naturality_comp' :
+  naturality_comp :
     ∀ {a b c : B} (f : a ⟶ b) (g : b ⟶ c),
       naturality (f ≫ g) ≫ app a ◁ G.map_comp f g =
         F.map_comp f g ▷ app c ≫
@@ -64,6 +65,7 @@ structure OplaxNatTrans (F G : OplaxFunctor B C) where
             F.map f ◁ naturality g ≫ (α_ _ _ _).inv ≫ naturality f ▷ G.map g ≫ (α_ _ _ _).Hom := by
     obviously
 #align category_theory.oplax_nat_trans CategoryTheory.OplaxNatTrans
+-/
 
 restate_axiom oplax_nat_trans.naturality_naturality'
 
@@ -80,12 +82,14 @@ section
 
 variable (F : OplaxFunctor B C)
 
+#print CategoryTheory.OplaxNatTrans.id /-
 /-- The identity oplax natural transformation. -/
 @[simps]
 def id : OplaxNatTrans F F where
   app a := 𝟙 (F.obj a)
   naturality a b f := (ρ_ (F.map f)).Hom ≫ (λ_ (F.map f)).inv
 #align category_theory.oplax_nat_trans.id CategoryTheory.OplaxNatTrans.id
+-/
 
 instance : Inhabited (OplaxNatTrans F F) :=
   ⟨id F⟩
@@ -149,6 +153,7 @@ theorem whiskerRight_naturality_id (f : G.obj a ⟶ a') :
 
 end
 
+#print CategoryTheory.OplaxNatTrans.vcomp /-
 /-- Vertical composition of oplax natural transformations. -/
 @[simps]
 def vcomp (η : OplaxNatTrans F G) (θ : OplaxNatTrans G H) : OplaxNatTrans F H
@@ -157,7 +162,7 @@ def vcomp (η : OplaxNatTrans F G) (θ : OplaxNatTrans G H) : OplaxNatTrans F H
   naturality a b f :=
     (α_ _ _ _).inv ≫
       η.naturality f ▷ θ.app b ≫ (α_ _ _ _).Hom ≫ η.app a ◁ θ.naturality f ≫ (α_ _ _ _).inv
-  naturality_comp' a b c f g :=
+  naturality_comp a b c f g :=
     by
     calc
       _ =
@@ -180,6 +185,7 @@ def vcomp (η : OplaxNatTrans F G) (θ : OplaxNatTrans G H) : OplaxNatTrans F H
     · rw [whisker_exchange_assoc]; simp
     · simp
 #align category_theory.oplax_nat_trans.vcomp CategoryTheory.OplaxNatTrans.vcomp
+-/
 
 variable (B C)
 
@@ -196,6 +202,7 @@ section
 
 variable {F G : OplaxFunctor B C}
 
+#print CategoryTheory.OplaxNatTrans.Modification /-
 /-- A modification `Γ` between oplax natural transformations `η` and `θ` consists of a family of
 2-morphisms `Γ.app a : η.app a ⟶ θ.app a`, which satisfies the equation
 `(F.map f ◁ app b) ≫ θ.naturality f = η.naturality f ≫ (app a ▷ G.map f)`
@@ -204,11 +211,12 @@ for each 1-morphism `f : a ⟶ b`.
 @[ext]
 structure Modification (η θ : F ⟶ G) where
   app (a : B) : η.app a ⟶ θ.app a
-  naturality' :
+  naturality :
     ∀ {a b : B} (f : a ⟶ b),
       F.map f ◁ app b ≫ θ.naturality f = η.naturality f ≫ app a ▷ G.map f := by
     obviously
 #align category_theory.oplax_nat_trans.modification CategoryTheory.OplaxNatTrans.Modification
+-/
 
 restate_axiom modification.naturality'
 
@@ -220,10 +228,12 @@ namespace Modification
 
 variable (η)
 
+#print CategoryTheory.OplaxNatTrans.Modification.id /-
 /-- The identity modification. -/
 @[simps]
 def id : Modification η η where app a := 𝟙 (η.app a)
 #align category_theory.oplax_nat_trans.modification.id CategoryTheory.OplaxNatTrans.Modification.id
+-/
 
 instance : Inhabited (Modification η η) :=
   ⟨Modification.id η⟩
@@ -249,14 +259,17 @@ theorem whiskerRight_naturality (f : a ⟶ b) (g : G.obj b ⟶ a') :
 
 end
 
+#print CategoryTheory.OplaxNatTrans.Modification.vcomp /-
 /-- Vertical composition of modifications. -/
 @[simps]
 def vcomp (Γ : Modification η θ) (Δ : Modification θ ι) : Modification η ι
     where app a := Γ.app a ≫ Δ.app a
 #align category_theory.oplax_nat_trans.modification.vcomp CategoryTheory.OplaxNatTrans.Modification.vcomp
+-/
 
 end Modification
 
+#print CategoryTheory.OplaxNatTrans.category /-
 /-- Category structure on the oplax natural transformations between oplax_functors. -/
 @[simps]
 instance category (F G : OplaxFunctor B C) : Category (F ⟶ G)
@@ -265,6 +278,7 @@ instance category (F G : OplaxFunctor B C) : Category (F ⟶ G)
   id := Modification.id
   comp η θ ι := Modification.vcomp
 #align category_theory.oplax_nat_trans.category CategoryTheory.OplaxNatTrans.category
+-/
 
 /-- Construct a modification isomorphism between oplax natural transformations
 by giving object level isomorphisms, and checking naturality only in the forward direction.
@@ -278,7 +292,7 @@ def ModificationIso.ofComponents (app : ∀ a, η.app a ≅ θ.app a)
   Hom := { app := fun a => (app a).Hom }
   inv :=
     { app := fun a => (app a).inv
-      naturality' := fun a b f => by
+      naturality := fun a b f => by
         simpa using congr_arg (fun f => _ ◁ (app b).inv ≫ f ≫ (app a).inv ▷ _) (naturality f).symm }
 #align category_theory.oplax_nat_trans.modification_iso.of_components CategoryTheory.OplaxNatTrans.ModificationIso.ofComponents

4ff75f5b

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -71,8 +71,8 @@ restate_axiom oplax_nat_trans.naturality_id'
 
 restate_axiom oplax_nat_trans.naturality_comp'
 
-attribute [simp, reassoc]
-  oplax_nat_trans.naturality_naturality oplax_nat_trans.naturality_id oplax_nat_trans.naturality_comp
+attribute [simp, reassoc] oplax_nat_trans.naturality_naturality oplax_nat_trans.naturality_id
+  oplax_nat_trans.naturality_comp
 
 namespace OplaxNatTrans

4ff75f5b

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -32,7 +32,7 @@ namespace CategoryTheory
 
 open Category Bicategory
 
-open Bicategory
+open scoped Bicategory
 
 universe w₁ w₂ v₁ v₂ u₁ u₂

4ff75f5b

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -130,9 +130,7 @@ theorem whiskerRight_naturality_comp (f : a ⟶ b) (g : b ⟶ c) (h : G.obj c 
               (α_ _ _ _).inv ≫
                 (α_ _ _ _).inv ▷ h ≫
                   η.naturality f ▷ G.map g ▷ h ≫ (α_ _ _ _).Hom ▷ h ≫ (α_ _ _ _).Hom :=
-  by
-  rw [← associator_naturality_middle, ← comp_whisker_right_assoc, naturality_comp]
-  simp
+  by rw [← associator_naturality_middle, ← comp_whisker_right_assoc, naturality_comp]; simp
 #align category_theory.oplax_nat_trans.whisker_right_naturality_comp CategoryTheory.OplaxNatTrans.whiskerRight_naturality_comp
 
 @[simp, reassoc]
@@ -146,9 +144,7 @@ theorem whiskerLeft_naturality_id (f : a' ⟶ G.obj a) :
 theorem whiskerRight_naturality_id (f : G.obj a ⟶ a') :
     η.naturality (𝟙 a) ▷ f ≫ (α_ _ _ _).Hom ≫ η.app a ◁ G.map_id a ▷ f =
       F.map_id a ▷ η.app a ▷ f ≫ (λ_ (η.app a)).Hom ▷ f ≫ (ρ_ (η.app a)).inv ▷ f ≫ (α_ _ _ _).Hom :=
-  by
-  rw [← associator_naturality_middle, ← comp_whisker_right_assoc, naturality_id]
-  simp
+  by rw [← associator_naturality_middle, ← comp_whisker_right_assoc, naturality_id]; simp
 #align category_theory.oplax_nat_trans.whisker_right_naturality_id CategoryTheory.OplaxNatTrans.whiskerRight_naturality_id
 
 end
@@ -181,8 +177,7 @@ def vcomp (η : OplaxNatTrans F G) (θ : OplaxNatTrans G H) : OplaxNatTrans F H
     exact _ ◁ (α_ _ _ _).Hom ≫ (α_ _ _ _).inv
     exact (α_ _ _ _).Hom ≫ _ ◁ (α_ _ _ _).inv
     exact _ ◁ (α_ _ _ _).Hom ≫ (α_ _ _ _).inv
-    · rw [whisker_exchange_assoc]
-      simp
+    · rw [whisker_exchange_assoc]; simp
     · simp
 #align category_theory.oplax_nat_trans.vcomp CategoryTheory.OplaxNatTrans.vcomp

4ff75f5b

bump to nightly-2023-05-23-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/75e7fca56381d056096ce5d05e938f63a6567828

ed98987c

Diff

@@ -71,7 +71,7 @@ restate_axiom oplax_nat_trans.naturality_id'
 
 restate_axiom oplax_nat_trans.naturality_comp'
 
-attribute [simp, reassoc.1]
+attribute [simp, reassoc]
   oplax_nat_trans.naturality_naturality oplax_nat_trans.naturality_id oplax_nat_trans.naturality_comp
 
 namespace OplaxNatTrans
@@ -96,21 +96,21 @@ section
 
 variable {a b c : B} {a' : C}
 
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem whiskerLeft_naturality_naturality (f : a' ⟶ G.obj a) {g h : a ⟶ b} (β : g ⟶ h) :
     f ◁ G.zipWith β ▷ θ.app b ≫ f ◁ θ.naturality h =
       f ◁ θ.naturality g ≫ f ◁ θ.app a ◁ H.zipWith β :=
   by simp_rw [← bicategory.whisker_left_comp, naturality_naturality]
 #align category_theory.oplax_nat_trans.whisker_left_naturality_naturality CategoryTheory.OplaxNatTrans.whiskerLeft_naturality_naturality
 
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem whiskerRight_naturality_naturality {f g : a ⟶ b} (β : f ⟶ g) (h : G.obj b ⟶ a') :
     F.zipWith β ▷ η.app b ▷ h ≫ η.naturality g ▷ h =
       η.naturality f ▷ h ≫ (α_ _ _ _).Hom ≫ η.app a ◁ G.zipWith β ▷ h ≫ (α_ _ _ _).inv :=
   by rw [← comp_whisker_right, naturality_naturality, comp_whisker_right, whisker_assoc]
 #align category_theory.oplax_nat_trans.whisker_right_naturality_naturality CategoryTheory.OplaxNatTrans.whiskerRight_naturality_naturality
 
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem whiskerLeft_naturality_comp (f : a' ⟶ G.obj a) (g : a ⟶ b) (h : b ⟶ c) :
     f ◁ θ.naturality (g ≫ h) ≫ f ◁ θ.app a ◁ H.map_comp g h =
       f ◁ G.map_comp g h ▷ θ.app c ≫
@@ -120,7 +120,7 @@ theorem whiskerLeft_naturality_comp (f : a' ⟶ G.obj a) (g : a ⟶ b) (h : b 
   by simp_rw [← bicategory.whisker_left_comp, naturality_comp]
 #align category_theory.oplax_nat_trans.whisker_left_naturality_comp CategoryTheory.OplaxNatTrans.whiskerLeft_naturality_comp
 
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem whiskerRight_naturality_comp (f : a ⟶ b) (g : b ⟶ c) (h : G.obj c ⟶ a') :
     η.naturality (f ≫ g) ▷ h ≫ (α_ _ _ _).Hom ≫ η.app a ◁ G.map_comp f g ▷ h =
       F.map_comp f g ▷ η.app c ▷ h ≫
@@ -135,14 +135,14 @@ theorem whiskerRight_naturality_comp (f : a ⟶ b) (g : b ⟶ c) (h : G.obj c 
   simp
 #align category_theory.oplax_nat_trans.whisker_right_naturality_comp CategoryTheory.OplaxNatTrans.whiskerRight_naturality_comp
 
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem whiskerLeft_naturality_id (f : a' ⟶ G.obj a) :
     f ◁ θ.naturality (𝟙 a) ≫ f ◁ θ.app a ◁ H.map_id a =
       f ◁ G.map_id a ▷ θ.app a ≫ f ◁ (λ_ (θ.app a)).Hom ≫ f ◁ (ρ_ (θ.app a)).inv :=
   by simp_rw [← bicategory.whisker_left_comp, naturality_id]
 #align category_theory.oplax_nat_trans.whisker_left_naturality_id CategoryTheory.OplaxNatTrans.whiskerLeft_naturality_id
 
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem whiskerRight_naturality_id (f : G.obj a ⟶ a') :
     η.naturality (𝟙 a) ▷ f ≫ (α_ _ _ _).Hom ≫ η.app a ◁ G.map_id a ▷ f =
       F.map_id a ▷ η.app a ▷ f ≫ (λ_ (η.app a)).Hom ▷ f ≫ (ρ_ (η.app a)).inv ▷ f ≫ (α_ _ _ _).Hom :=
@@ -217,7 +217,7 @@ structure Modification (η θ : F ⟶ G) where
 
 restate_axiom modification.naturality'
 
-attribute [simp, reassoc.1] modification.naturality
+attribute [simp, reassoc] modification.naturality
 
 variable {η θ ι : F ⟶ G}
 
@@ -239,13 +239,13 @@ section
 
 variable (Γ : Modification η θ) {a b c : B} {a' : C}
 
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem whiskerLeft_naturality (f : a' ⟶ F.obj b) (g : b ⟶ c) :
     f ◁ F.map g ◁ Γ.app c ≫ f ◁ θ.naturality g = f ◁ η.naturality g ≫ f ◁ Γ.app b ▷ G.map g := by
   simp_rw [← bicategory.whisker_left_comp, naturality]
 #align category_theory.oplax_nat_trans.modification.whisker_left_naturality CategoryTheory.OplaxNatTrans.Modification.whiskerLeft_naturality
 
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem whiskerRight_naturality (f : a ⟶ b) (g : G.obj b ⟶ a') :
     F.map f ◁ Γ.app b ▷ g ≫ (α_ _ _ _).inv ≫ θ.naturality f ▷ g =
       (α_ _ _ _).inv ≫ η.naturality f ▷ g ≫ Γ.app a ▷ G.map f ▷ g :=

4ff75f5b

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

4ff75f5b

chore: remove autoImplicit from more files (#11798)

and reduce its scope in a few other instances. Mostly in CategoryTheory and Data this time; some Combinatorics also.

Co-authored-by: Richard Osborn <richardosborn@mac.com>

3bb1d613

Diff

@@ -24,9 +24,6 @@ transformations.
   between `F` and `G`
 -/
 
-set_option autoImplicit true
-
-
 namespace CategoryTheory
 
 open Category Bicategory
@@ -290,12 +287,13 @@ lemma ext {F G : OplaxFunctor B C} {α β : F ⟶ G} {m n : α ⟶ β} (w : ∀
   apply w
 
 @[simp]
-lemma Modification.id_app' {F G : OplaxFunctor B C} (α : F ⟶ G) :
+lemma Modification.id_app' {X : B} {F G : OplaxFunctor B C} (α : F ⟶ G) :
     Modification.app (𝟙 α) X = 𝟙 (α.app X) := rfl
 
 @[simp]
-lemma Modification.comp_app' {F G : OplaxFunctor B C} {α β γ : F ⟶ G} (m : α ⟶ β) (n : β ⟶ γ) :
-    (m ≫ n).app X = m.app X ≫ n.app X := rfl
+lemma Modification.comp_app' {X : B} {F G : OplaxFunctor B C} {α β γ : F ⟶ G}
+    (m : α ⟶ β) (n : β ⟶ γ) : (m ≫ n).app X = m.app X ≫ n.app X :=
+  rfl
 
 /-- Construct a modification isomorphism between oplax natural transformations
 by giving object level isomorphisms, and checking naturality only in the forward direction.

4ff75f5b

chore: remove unnecessary pp_dots (#11166)

Release 4.7.0-rc1 makes it unnecessary to add pp_dot to structure fields. It used to be that function fields wouldn't pretty print using dot notation when the function was applied unless pp_dot was added.

d8c7b27e

Diff

@@ -72,8 +72,6 @@ structure OplaxNatTrans (F G : OplaxFunctor B C) where
 #align category_theory.oplax_nat_trans.naturality_comp' CategoryTheory.OplaxNatTrans.naturality_comp
 #align category_theory.oplax_nat_trans.naturality_comp CategoryTheory.OplaxNatTrans.naturality_comp
 
-attribute [pp_dot] OplaxNatTrans.app
-
 attribute [nolint docBlame] CategoryTheory.OplaxNatTrans.app
   CategoryTheory.OplaxNatTrans.naturality
   CategoryTheory.OplaxNatTrans.naturality_naturality

4ff75f5b

chore(CategoryTheory/Bicategory): remove porting note (#10174)

a705a6f9

Diff

@@ -187,21 +187,8 @@ def vcomp (η : OplaxNatTrans F G) (θ : OplaxNatTrans G H) : OplaxNatTrans F H
     exact (α_ _ _ _).hom ≫ _ ◁ (α_ _ _ _).inv
     exact _ ◁ (α_ _ _ _).hom ≫ (α_ _ _ _).inv
     · rw [whisker_exchange_assoc]
-      -- Porting note: this used to be just `simp`
-      simp only [comp_whiskerLeft, assoc, Iso.inv_hom_id_assoc, whiskerLeft_naturality_comp_assoc,
-        whiskerRight_naturality_comp_assoc, pentagon_assoc, whiskerRight_comp,
-        pentagon_hom_inv_inv_inv_inv_assoc]
+      simp
     · simp
-  naturality_id _ := by
-    -- Porting note: this used to be automatic via `tidy`, which did `intros, simp`
-    simp only [comp_whiskerLeft, assoc, Iso.inv_hom_id_assoc, whiskerLeft_naturality_id_assoc,
-      whiskerLeft_rightUnitor_inv, Iso.hom_inv_id, comp_id, whiskerRight_naturality_id_assoc,
-      leftUnitor_whiskerRight, triangle_assoc, inv_hom_whiskerRight_assoc, whiskerRight_comp]
-  naturality_naturality {_ _ _ _} _ := by
-    -- Porting note: this used to be automatic via `tidy`, which did `intros, simp`
-    simp only [whiskerRight_comp, assoc, Iso.hom_inv_id_assoc,
-      whiskerRight_naturality_naturality_assoc, Iso.inv_hom_id_assoc,
-      whiskerLeft_naturality_naturality_assoc, comp_whiskerLeft]
 #align category_theory.oplax_nat_trans.vcomp CategoryTheory.OplaxNatTrans.vcomp
 
 variable (B C)
@@ -284,10 +271,6 @@ end
 @[simps]
 def vcomp (Γ : Modification η θ) (Δ : Modification θ ι) : Modification η ι where
   app a := Γ.app a ≫ Δ.app a
-  naturality := by
-    -- Porting note: this used to be automatic via `tidy`, which did `intros, simp`
-    intros
-    simp only [whiskerLeft_comp, assoc, naturality, naturality_assoc, comp_whiskerRight]
 #align category_theory.oplax_nat_trans.modification.vcomp CategoryTheory.OplaxNatTrans.Modification.vcomp
 
 end Modification

4ff75f5b

fix: disable autoImplicit globally (#6528)

Autoimplicits are highly controversial and also defeat the performance-improving work in #6474.

The intent of this PR is to make autoImplicit opt-in on a per-file basis, by disabling it in the lakefile and enabling it again with set_option autoImplicit true in the few files that rely on it.

That also keeps this PR small, as opposed to attempting to "fix" files to not need it any more.

I claim that many of the uses of autoImplicit in these files are accidental; situations such as:

Assuming variables are in scope, but pasting the lemma in the wrong section
Pasting in a lemma from a scratch file without checking to see if the variable names are consistent with the rest of the file
Making a copy-paste error between lemmas and forgetting to add an explicit arguments.

Having set_option autoImplicit false as the default prevents these types of mistake being made in the 90% of files where autoImplicits are not used at all, and causes them to be caught by CI during review.

I think there were various points during the port where we encouraged porters to delete the universes u v lines; I think having autoparams for universe variables only would cover a lot of the cases we actually use them, while avoiding any real shortcomings.

A Zulip poll (after combining overlapping votes accordingly) was in favor of this change with 5:5:18 as the no:dontcare:yes vote ratio.

While this PR was being reviewed, a handful of files gained some more likely-accidental autoImplicits. In these places, set_option autoImplicit true has been placed locally within a section, rather than at the top of the file.

0c24f831

Diff

@@ -24,6 +24,8 @@ transformations.
   between `F` and `G`
 -/
 
+set_option autoImplicit true
+
 
 namespace CategoryTheory

4ff75f5b

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

@@ -2,14 +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.natural_transformation
-! 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.Functor
 
+#align_import category_theory.bicategory.natural_transformation from "leanprover-community/mathlib"@"4ff75f5b8502275a4c2eb2d2f02bdf84d7fb8993"
+
 /-!
 # Oplax natural transformations

4ff75f5b

feat: pp_dot attribute to replace pp_extended_field_notation command (#5632)

760b24bf

Diff

@@ -73,7 +73,7 @@ structure OplaxNatTrans (F G : OplaxFunctor B C) where
 #align category_theory.oplax_nat_trans.naturality_comp' CategoryTheory.OplaxNatTrans.naturality_comp
 #align category_theory.oplax_nat_trans.naturality_comp CategoryTheory.OplaxNatTrans.naturality_comp
 
-pp_extended_field_notation OplaxNatTrans.app
+attribute [pp_dot] OplaxNatTrans.app
 
 attribute [nolint docBlame] CategoryTheory.OplaxNatTrans.app
   CategoryTheory.OplaxNatTrans.naturality
@@ -236,7 +236,7 @@ structure Modification (η θ : F ⟶ G) where
 #align category_theory.oplax_nat_trans.modification.naturality' CategoryTheory.OplaxNatTrans.Modification.naturality
 #align category_theory.oplax_nat_trans.modification.naturality CategoryTheory.OplaxNatTrans.Modification.naturality
 
-pp_extended_field_notation Modification.app
+attribute [pp_dot] Modification.app
 
 attribute [nolint docBlame] CategoryTheory.OplaxNatTrans.Modification.app
   CategoryTheory.OplaxNatTrans.Modification.naturality

4ff75f5b

chore: fix many typos (#4983)

These are all doc fixes

54b72114

Diff

@@ -199,7 +199,7 @@ def vcomp (η : OplaxNatTrans F G) (θ : OplaxNatTrans G H) : OplaxNatTrans F H
       whiskerLeft_rightUnitor_inv, Iso.hom_inv_id, comp_id, whiskerRight_naturality_id_assoc,
       leftUnitor_whiskerRight, triangle_assoc, inv_hom_whiskerRight_assoc, whiskerRight_comp]
   naturality_naturality {_ _ _ _} _ := by
-    -- Porting note: this used to be automatic via `tidy`, wich did `intros, simp`
+    -- Porting note: this used to be automatic via `tidy`, which did `intros, simp`
     simp only [whiskerRight_comp, assoc, Iso.hom_inv_id_assoc,
       whiskerRight_naturality_naturality_assoc, Iso.inv_hom_id_assoc,
       whiskerLeft_naturality_naturality_assoc, comp_whiskerLeft]
@@ -286,7 +286,7 @@ end
 def vcomp (Γ : Modification η θ) (Δ : Modification θ ι) : Modification η ι where
   app a := Γ.app a ≫ Δ.app a
   naturality := by
-    -- Porting note: this used to be automatic via `tidy`, wich did `intros, simp`
+    -- Porting note: this used to be automatic via `tidy`, which did `intros, simp`
     intros
     simp only [whiskerLeft_comp, assoc, naturality, naturality_assoc, comp_whiskerRight]
 #align category_theory.oplax_nat_trans.modification.vcomp CategoryTheory.OplaxNatTrans.Modification.vcomp

4ff75f5b

feat: port CategoryTheory.Bicategory.FunctorBicategory (#4976)

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au>

f9de2aa4

Diff

@@ -73,6 +73,8 @@ structure OplaxNatTrans (F G : OplaxFunctor B C) where
 #align category_theory.oplax_nat_trans.naturality_comp' CategoryTheory.OplaxNatTrans.naturality_comp
 #align category_theory.oplax_nat_trans.naturality_comp CategoryTheory.OplaxNatTrans.naturality_comp
 
+pp_extended_field_notation OplaxNatTrans.app
+
 attribute [nolint docBlame] CategoryTheory.OplaxNatTrans.app
   CategoryTheory.OplaxNatTrans.naturality
   CategoryTheory.OplaxNatTrans.naturality_naturality
@@ -107,21 +109,21 @@ section
 
 variable {a b c : B} {a' : C}
 
-@[simp, reassoc]
+@[reassoc (attr := simp)]
 theorem whiskerLeft_naturality_naturality (f : a' ⟶ G.obj a) {g h : a ⟶ b} (β : g ⟶ h) :
     f ◁ G.map₂ β ▷ θ.app b ≫ f ◁ θ.naturality h =
       f ◁ θ.naturality g ≫ f ◁ θ.app a ◁ H.map₂ β :=
   by simp_rw [← whiskerLeft_comp, naturality_naturality]
 #align category_theory.oplax_nat_trans.whisker_left_naturality_naturality CategoryTheory.OplaxNatTrans.whiskerLeft_naturality_naturality
 
-@[simp, reassoc]
+@[reassoc (attr := simp)]
 theorem whiskerRight_naturality_naturality {f g : a ⟶ b} (β : f ⟶ g) (h : G.obj b ⟶ a') :
     F.map₂ β ▷ η.app b ▷ h ≫ η.naturality g ▷ h =
       η.naturality f ▷ h ≫ (α_ _ _ _).hom ≫ η.app a ◁ G.map₂ β ▷ h ≫ (α_ _ _ _).inv :=
   by rw [← comp_whiskerRight, naturality_naturality, comp_whiskerRight, whisker_assoc]
 #align category_theory.oplax_nat_trans.whisker_right_naturality_naturality CategoryTheory.OplaxNatTrans.whiskerRight_naturality_naturality
 
-@[simp, reassoc]
+@[reassoc (attr := simp)]
 theorem whiskerLeft_naturality_comp (f : a' ⟶ G.obj a) (g : a ⟶ b) (h : b ⟶ c) :
     f ◁ θ.naturality (g ≫ h) ≫ f ◁ θ.app a ◁ H.mapComp g h =
       f ◁ G.mapComp g h ▷ θ.app c ≫
@@ -131,7 +133,7 @@ theorem whiskerLeft_naturality_comp (f : a' ⟶ G.obj a) (g : a ⟶ b) (h : b 
   by simp_rw [← whiskerLeft_comp, naturality_comp]
 #align category_theory.oplax_nat_trans.whisker_left_naturality_comp CategoryTheory.OplaxNatTrans.whiskerLeft_naturality_comp
 
-@[simp, reassoc]
+@[reassoc (attr := simp)]
 theorem whiskerRight_naturality_comp (f : a ⟶ b) (g : b ⟶ c) (h : G.obj c ⟶ a') :
     η.naturality (f ≫ g) ▷ h ≫ (α_ _ _ _).hom ≫ η.app a ◁ G.mapComp f g ▷ h =
       F.mapComp f g ▷ η.app c ▷ h ≫
@@ -144,14 +146,14 @@ theorem whiskerRight_naturality_comp (f : a ⟶ b) (g : b ⟶ c) (h : G.obj c 
   by rw [← associator_naturality_middle, ← comp_whiskerRight_assoc, naturality_comp]; simp
 #align category_theory.oplax_nat_trans.whisker_right_naturality_comp CategoryTheory.OplaxNatTrans.whiskerRight_naturality_comp
 
-@[simp, reassoc]
+@[reassoc (attr := simp)]
 theorem whiskerLeft_naturality_id (f : a' ⟶ G.obj a) :
     f ◁ θ.naturality (𝟙 a) ≫ f ◁ θ.app a ◁ H.mapId a =
       f ◁ G.mapId a ▷ θ.app a ≫ f ◁ (λ_ (θ.app a)).hom ≫ f ◁ (ρ_ (θ.app a)).inv :=
   by simp_rw [← whiskerLeft_comp, naturality_id]
 #align category_theory.oplax_nat_trans.whisker_left_naturality_id CategoryTheory.OplaxNatTrans.whiskerLeft_naturality_id
 
-@[simp, reassoc]
+@[reassoc (attr := simp)]
 theorem whiskerRight_naturality_id (f : G.obj a ⟶ a') :
     η.naturality (𝟙 a) ▷ f ≫ (α_ _ _ _).hom ≫ η.app a ◁ G.mapId a ▷ f =
       F.mapId a ▷ η.app a ▷ f ≫ (λ_ (η.app a)).hom ▷ f ≫ (ρ_ (η.app a)).inv ▷ f ≫ (α_ _ _ _).hom :=
@@ -205,7 +207,7 @@ def vcomp (η : OplaxNatTrans F G) (θ : OplaxNatTrans G H) : OplaxNatTrans F H
 
 variable (B C)
 
-@[simps]
+@[simps id comp]
 instance : CategoryStruct (OplaxFunctor B C) where
   Hom := OplaxNatTrans
   id := OplaxNatTrans.id
@@ -234,6 +236,8 @@ structure Modification (η θ : F ⟶ G) where
 #align category_theory.oplax_nat_trans.modification.naturality' CategoryTheory.OplaxNatTrans.Modification.naturality
 #align category_theory.oplax_nat_trans.modification.naturality CategoryTheory.OplaxNatTrans.Modification.naturality
 
+pp_extended_field_notation Modification.app
+
 attribute [nolint docBlame] CategoryTheory.OplaxNatTrans.Modification.app
   CategoryTheory.OplaxNatTrans.Modification.naturality
 
@@ -262,13 +266,13 @@ section
 
 variable (Γ : Modification η θ) {a b c : B} {a' : C}
 
-@[simp, reassoc]
+@[reassoc (attr := simp)]
 theorem whiskerLeft_naturality (f : a' ⟶ F.obj b) (g : b ⟶ c) :
     f ◁ F.map g ◁ Γ.app c ≫ f ◁ θ.naturality g = f ◁ η.naturality g ≫ f ◁ Γ.app b ▷ G.map g := by
   simp_rw [← whiskerLeft_comp, naturality]
 #align category_theory.oplax_nat_trans.modification.whisker_left_naturality CategoryTheory.OplaxNatTrans.Modification.whiskerLeft_naturality
 
-@[simp, reassoc]
+@[reassoc (attr := simp)]
 theorem whiskerRight_naturality (f : a ⟶ b) (g : G.obj b ⟶ a') :
     F.map f ◁ Γ.app b ▷ g ≫ (α_ _ _ _).inv ≫ θ.naturality f ▷ g =
       (α_ _ _ _).inv ≫ η.naturality f ▷ g ≫ Γ.app a ▷ G.map f ▷ g :=
@@ -297,6 +301,22 @@ instance category (F G : OplaxFunctor B C) : Category (F ⟶ G) where
   comp := Modification.vcomp
 #align category_theory.oplax_nat_trans.category CategoryTheory.OplaxNatTrans.category
 
+-- Porting note: duplicating the `ext` lemma.
+@[ext]
+lemma ext {F G : OplaxFunctor B C} {α β : F ⟶ G} {m n : α ⟶ β} (w : ∀ b, m.app b = n.app b) :
+    m = n := by
+  apply Modification.ext
+  ext
+  apply w
+
+@[simp]
+lemma Modification.id_app' {F G : OplaxFunctor B C} (α : F ⟶ G) :
+    Modification.app (𝟙 α) X = 𝟙 (α.app X) := rfl
+
+@[simp]
+lemma Modification.comp_app' {F G : OplaxFunctor B C} {α β γ : F ⟶ G} (m : α ⟶ β) (n : β ⟶ γ) :
+    (m ≫ n).app X = m.app X ≫ n.app X := rfl
+
 /-- Construct a modification isomorphism between oplax natural transformations
 by giving object level isomorphisms, and checking naturality only in the forward direction.
 -/
@@ -311,16 +331,6 @@ def ModificationIso.ofComponents (app : ∀ a, η.app a ≅ θ.app a)
     { app := fun a => (app a).inv
       naturality := fun {a b} f => by
         simpa using congr_arg (fun f => _ ◁ (app b).inv ≫ f ≫ (app a).inv ▷ _) (naturality f).symm }
-  hom_inv_id := by
-    -- Porting note: this used to be automatic via `tidy`, which did `intros, ext, simp`.
-    refine' Modification.ext _ _ (funext (fun b => _))
-    simp only [category_comp, Modification.vcomp_app, Iso.hom_inv_id, category_id,
-      Modification.id_app]
-  inv_hom_id := by
-    -- Porting note: this used to be automatic via `tidy`, which did `intros, ext, simp`.
-    refine' Modification.ext _ _ (funext (fun b => _))
-    simp only [category_comp, Modification.vcomp_app, Iso.inv_hom_id, category_id,
-      Modification.id_app]
 #align category_theory.oplax_nat_trans.modification_iso.of_components CategoryTheory.OplaxNatTrans.ModificationIso.ofComponents
 
 end

4ff75f5b

feat: port CategoryTheory.Bicategory.NaturalTransformation (#4594)

116627d8

`category_theory.bicategory.natural_transformation` ⟷ `Mathlib.CategoryTheory.Bicategory.NaturalTransformation`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 4

category_theory.bicategory.natural_transformation ⟷ Mathlib.CategoryTheory.Bicategory.NaturalTransformation

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 4

`category_theory.bicategory.natural_transformation` ⟷ `Mathlib.CategoryTheory.Bicategory.NaturalTransformation`