category_theory.adjunction.basicMathlib.CategoryTheory.Adjunction.Basic

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
@@ -598,8 +598,10 @@ isomorphisms, then the functor is an equivalence of categories.
 @[simps]
 noncomputable def isRightAdjointToIsEquivalence [IsRightAdjoint G]
     [∀ X, IsIso ((Adjunction.ofRightAdjoint G).Unit.app X)]
-    [∀ Y, IsIso ((Adjunction.ofRightAdjoint G).counit.app Y)] : IsEquivalence G :=
-  IsEquivalence.ofEquivalenceInverse (Adjunction.ofRightAdjoint G).toEquivalence
+    [∀ Y, IsIso ((Adjunction.ofRightAdjoint G).counit.app Y)] :
+    CategoryTheory.Functor.IsEquivalence G :=
+  CategoryTheory.Functor.IsEquivalence.ofEquivalenceInverse
+    (Adjunction.ofRightAdjoint G).toEquivalence
 #align category_theory.adjunction.is_right_adjoint_to_is_equivalence CategoryTheory.Adjunction.isRightAdjointToIsEquivalence
 -/
 
@@ -635,14 +637,15 @@ namespace Functor
 
 #print CategoryTheory.Functor.adjunction /-
 /-- An equivalence `E` is left adjoint to its inverse. -/
-def adjunction (E : C ⥤ D) [IsEquivalence E] : E ⊣ E.inv :=
+def adjunction (E : C ⥤ D) [CategoryTheory.Functor.IsEquivalence E] : E ⊣ E.inv :=
   E.asEquivalence.toAdjunction
 #align category_theory.functor.adjunction CategoryTheory.Functor.adjunction
 -/
 
 #print CategoryTheory.Functor.leftAdjointOfEquivalence /-
 /-- If `F` is an equivalence, it's a left adjoint. -/
-instance (priority := 10) leftAdjointOfEquivalence {F : C ⥤ D} [IsEquivalence F] : IsLeftAdjoint F
+instance (priority := 10) leftAdjointOfEquivalence {F : C ⥤ D}
+    [CategoryTheory.Functor.IsEquivalence F] : IsLeftAdjoint F
     where
   right := _
   adj := Functor.adjunction F
@@ -651,14 +654,16 @@ instance (priority := 10) leftAdjointOfEquivalence {F : C ⥤ D} [IsEquivalence
 
 #print CategoryTheory.Functor.rightAdjoint_of_isEquivalence /-
 @[simp]
-theorem rightAdjoint_of_isEquivalence {F : C ⥤ D} [IsEquivalence F] : rightAdjoint F = inv F :=
+theorem rightAdjoint_of_isEquivalence {F : C ⥤ D} [CategoryTheory.Functor.IsEquivalence F] :
+    rightAdjoint F = inv F :=
   rfl
 #align category_theory.functor.right_adjoint_of_is_equivalence CategoryTheory.Functor.rightAdjoint_of_isEquivalence
 -/
 
 #print CategoryTheory.Functor.rightAdjointOfEquivalence /-
 /-- If `F` is an equivalence, it's a right adjoint. -/
-instance (priority := 10) rightAdjointOfEquivalence {F : C ⥤ D} [IsEquivalence F] : IsRightAdjoint F
+instance (priority := 10) rightAdjointOfEquivalence {F : C ⥤ D}
+    [CategoryTheory.Functor.IsEquivalence F] : IsRightAdjoint F
     where
   left := _
   adj := Functor.adjunction F.inv
@@ -667,7 +672,8 @@ instance (priority := 10) rightAdjointOfEquivalence {F : C ⥤ D} [IsEquivalence
 
 #print CategoryTheory.Functor.leftAdjoint_of_isEquivalence /-
 @[simp]
-theorem leftAdjoint_of_isEquivalence {F : C ⥤ D} [IsEquivalence F] : leftAdjoint F = inv F :=
+theorem leftAdjoint_of_isEquivalence {F : C ⥤ D} [CategoryTheory.Functor.IsEquivalence F] :
+    leftAdjoint F = inv F :=
   rfl
 #align category_theory.functor.left_adjoint_of_is_equivalence CategoryTheory.Functor.leftAdjoint_of_isEquivalence
 -/
Diff
@@ -349,16 +349,16 @@ def mkOfUnitCounit (adj : CoreUnitCounit F G) : F ⊣ G :=
           rw [F.map_comp, assoc, ← functor.comp_map, adj.counit.naturality, ← assoc]
           convert id_comp f
           have t := congr_arg (fun t : nat_trans _ _ => t.app _) adj.left_triangle
-          dsimp at t 
-          simp only [id_comp] at t 
+          dsimp at t
+          simp only [id_comp] at t
           exact t
         right_inv := fun g => by
           change _ ≫ G.map (_ ≫ _) = _
           rw [G.map_comp, ← assoc, ← functor.comp_map, ← adj.unit.naturality, assoc]
           convert comp_id g
           have t := congr_arg (fun t : nat_trans _ _ => t.app _) adj.right_triangle
-          dsimp at t 
-          simp only [id_comp] at t 
+          dsimp at t
+          simp only [id_comp] at t
           exact t } }
 #align category_theory.adjunction.mk_of_unit_counit CategoryTheory.Adjunction.mkOfUnitCounit
 -/
Diff
@@ -619,21 +619,15 @@ def toAdjunction (e : C ≌ D) : e.Functor ⊣ e.inverse :=
 #align category_theory.equivalence.to_adjunction CategoryTheory.Equivalence.toAdjunction
 -/
 
-#print CategoryTheory.Equivalence.asEquivalence_toAdjunction_unit /-
 @[simp]
-theorem asEquivalence_toAdjunction_unit {e : C ≌ D} :
-    e.Functor.asEquivalence.toAdjunction.Unit = e.Unit :=
+theorem toAdjunction_unit {e : C ≌ D} : e.Functor.asEquivalence.toAdjunction.Unit = e.Unit :=
   rfl
-#align category_theory.equivalence.as_equivalence_to_adjunction_unit CategoryTheory.Equivalence.asEquivalence_toAdjunction_unit
--/
+#align category_theory.equivalence.as_equivalence_to_adjunction_unit CategoryTheory.Equivalence.toAdjunction_unitₓ
 
-#print CategoryTheory.Equivalence.asEquivalence_toAdjunction_counit /-
 @[simp]
-theorem asEquivalence_toAdjunction_counit {e : C ≌ D} :
-    e.Functor.asEquivalence.toAdjunction.counit = e.counit :=
+theorem toAdjunction_counit {e : C ≌ D} : e.Functor.asEquivalence.toAdjunction.counit = e.counit :=
   rfl
-#align category_theory.equivalence.as_equivalence_to_adjunction_counit CategoryTheory.Equivalence.asEquivalence_toAdjunction_counit
--/
+#align category_theory.equivalence.as_equivalence_to_adjunction_counit CategoryTheory.Equivalence.toAdjunction_counitₓ
 
 end Equivalence
 
Diff
@@ -3,7 +3,7 @@ Copyright (c) 2019 Reid Barton. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Reid Barton, Johan Commelin, Bhavik Mehta
 -/
-import Mathbin.CategoryTheory.Equivalence
+import CategoryTheory.Equivalence
 
 #align_import category_theory.adjunction.basic from "leanprover-community/mathlib"@"23aa88e32dcc9d2a24cca7bc23268567ed4cd7d6"
 
Diff
@@ -120,10 +120,6 @@ def Adjunction.ofRightAdjoint (right : C ⥤ D) [IsRightAdjoint right] :
 
 namespace Adjunction
 
-restate_axiom hom_equiv_unit'
-
-restate_axiom hom_equiv_counit'
-
 attribute [simp] hom_equiv_unit hom_equiv_counit
 
 section
@@ -265,10 +261,6 @@ structure CoreHomEquiv (F : C ⥤ D) (G : D ⥤ C) where
 
 namespace CoreHomEquiv
 
-restate_axiom hom_equiv_naturality_left_symm'
-
-restate_axiom hom_equiv_naturality_right'
-
 attribute [simp] hom_equiv_naturality_left_symm hom_equiv_naturality_right
 
 variable {F : C ⥤ D} {G : D ⥤ C} (adj : CoreHomEquiv F G) {X' X : C} {Y Y' : D}
@@ -313,10 +305,6 @@ structure CoreUnitCounit (F : C ⥤ D) (G : D ⥤ C) where
 
 namespace CoreUnitCounit
 
-restate_axiom left_triangle'
-
-restate_axiom right_triangle'
-
 attribute [simp] left_triangle right_triangle
 
 end CoreUnitCounit
Diff
@@ -2,14 +2,11 @@
 Copyright (c) 2019 Reid Barton. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Reid Barton, Johan Commelin, Bhavik Mehta
-
-! This file was ported from Lean 3 source module category_theory.adjunction.basic
-! leanprover-community/mathlib commit 23aa88e32dcc9d2a24cca7bc23268567ed4cd7d6
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Equivalence
 
+#align_import category_theory.adjunction.basic from "leanprover-community/mathlib"@"23aa88e32dcc9d2a24cca7bc23268567ed4cd7d6"
+
 /-!
 # Adjunctions between functors
 
Diff
@@ -73,7 +73,6 @@ structure Adjunction (F : C ⥤ D) (G : D ⥤ C) where
 #align category_theory.adjunction CategoryTheory.Adjunction
 -/
 
--- mathport name: «expr ⊣ »
 infixl:15 " ⊣ " => Adjunction
 
 #print CategoryTheory.IsLeftAdjoint /-
@@ -134,35 +133,47 @@ section
 
 variable {F : C ⥤ D} {G : D ⥤ C} (adj : F ⊣ G) {X' X : C} {Y Y' : D}
 
+#print CategoryTheory.Adjunction.homEquiv_id /-
 theorem homEquiv_id (X : C) : adj.homEquiv X _ (𝟙 _) = adj.Unit.app X := by simp
 #align category_theory.adjunction.hom_equiv_id CategoryTheory.Adjunction.homEquiv_id
+-/
 
+#print CategoryTheory.Adjunction.homEquiv_symm_id /-
 theorem homEquiv_symm_id (X : D) : (adj.homEquiv _ X).symm (𝟙 _) = adj.counit.app X := by simp
 #align category_theory.adjunction.hom_equiv_symm_id CategoryTheory.Adjunction.homEquiv_symm_id
+-/
 
+#print CategoryTheory.Adjunction.homEquiv_naturality_left_symm /-
 @[simp]
 theorem homEquiv_naturality_left_symm (f : X' ⟶ X) (g : X ⟶ G.obj Y) :
     (adj.homEquiv X' Y).symm (f ≫ g) = F.map f ≫ (adj.homEquiv X Y).symm g := by
   rw [hom_equiv_counit, F.map_comp, assoc, adj.hom_equiv_counit.symm]
 #align category_theory.adjunction.hom_equiv_naturality_left_symm CategoryTheory.Adjunction.homEquiv_naturality_left_symm
+-/
 
+#print CategoryTheory.Adjunction.homEquiv_naturality_left /-
 @[simp]
 theorem homEquiv_naturality_left (f : X' ⟶ X) (g : F.obj X ⟶ Y) :
     (adj.homEquiv X' Y) (F.map f ≫ g) = f ≫ (adj.homEquiv X Y) g := by
   rw [← Equiv.eq_symm_apply] <;> simp [-hom_equiv_unit]
 #align category_theory.adjunction.hom_equiv_naturality_left CategoryTheory.Adjunction.homEquiv_naturality_left
+-/
 
+#print CategoryTheory.Adjunction.homEquiv_naturality_right /-
 @[simp]
 theorem homEquiv_naturality_right (f : F.obj X ⟶ Y) (g : Y ⟶ Y') :
     (adj.homEquiv X Y') (f ≫ g) = (adj.homEquiv X Y) f ≫ G.map g := by
   rw [hom_equiv_unit, G.map_comp, ← assoc, ← hom_equiv_unit]
 #align category_theory.adjunction.hom_equiv_naturality_right CategoryTheory.Adjunction.homEquiv_naturality_right
+-/
 
+#print CategoryTheory.Adjunction.homEquiv_naturality_right_symm /-
 @[simp]
 theorem homEquiv_naturality_right_symm (f : X ⟶ G.obj Y) (g : Y ⟶ Y') :
     (adj.homEquiv X Y').symm (f ≫ G.map g) = (adj.homEquiv X Y).symm f ≫ g := by
   rw [Equiv.symm_apply_eq] <;> simp [-hom_equiv_counit]
 #align category_theory.adjunction.hom_equiv_naturality_right_symm CategoryTheory.Adjunction.homEquiv_naturality_right_symm
+-/
 
 #print CategoryTheory.Adjunction.left_triangle /-
 @[simp]
@@ -184,39 +195,51 @@ theorem right_triangle : whiskerLeft G adj.Unit ≫ whiskerRight adj.counit G =
 #align category_theory.adjunction.right_triangle CategoryTheory.Adjunction.right_triangle
 -/
 
+#print CategoryTheory.Adjunction.left_triangle_components /-
 @[simp, reassoc]
 theorem left_triangle_components :
     F.map (adj.Unit.app X) ≫ adj.counit.app (F.obj X) = 𝟙 (F.obj X) :=
   congr_arg (fun t : NatTrans _ (𝟭 C ⋙ F) => t.app X) adj.left_triangle
 #align category_theory.adjunction.left_triangle_components CategoryTheory.Adjunction.left_triangle_components
+-/
 
+#print CategoryTheory.Adjunction.right_triangle_components /-
 @[simp, reassoc]
 theorem right_triangle_components {Y : D} :
     adj.Unit.app (G.obj Y) ≫ G.map (adj.counit.app Y) = 𝟙 (G.obj Y) :=
   congr_arg (fun t : NatTrans _ (G ⋙ 𝟭 C) => t.app Y) adj.right_triangle
 #align category_theory.adjunction.right_triangle_components CategoryTheory.Adjunction.right_triangle_components
+-/
 
+#print CategoryTheory.Adjunction.counit_naturality /-
 @[simp, reassoc]
 theorem counit_naturality {X Y : D} (f : X ⟶ Y) :
     F.map (G.map f) ≫ adj.counit.app Y = adj.counit.app X ≫ f :=
   adj.counit.naturality f
 #align category_theory.adjunction.counit_naturality CategoryTheory.Adjunction.counit_naturality
+-/
 
+#print CategoryTheory.Adjunction.unit_naturality /-
 @[simp, reassoc]
 theorem unit_naturality {X Y : C} (f : X ⟶ Y) :
     adj.Unit.app X ≫ G.map (F.map f) = f ≫ adj.Unit.app Y :=
   (adj.Unit.naturality f).symm
 #align category_theory.adjunction.unit_naturality CategoryTheory.Adjunction.unit_naturality
+-/
 
+#print CategoryTheory.Adjunction.homEquiv_apply_eq /-
 theorem homEquiv_apply_eq {A : C} {B : D} (f : F.obj A ⟶ B) (g : A ⟶ G.obj B) :
     adj.homEquiv A B f = g ↔ f = (adj.homEquiv A B).symm g :=
   ⟨fun h => by cases h; simp, fun h => by cases h; simp⟩
 #align category_theory.adjunction.hom_equiv_apply_eq CategoryTheory.Adjunction.homEquiv_apply_eq
+-/
 
+#print CategoryTheory.Adjunction.eq_homEquiv_apply /-
 theorem eq_homEquiv_apply {A : C} {B : D} (f : F.obj A ⟶ B) (g : A ⟶ G.obj B) :
     g = adj.homEquiv A B f ↔ (adj.homEquiv A B).symm g = f :=
   ⟨fun h => by cases h; simp, fun h => by cases h; simp⟩
 #align category_theory.adjunction.eq_hom_equiv_apply CategoryTheory.Adjunction.eq_homEquiv_apply
+-/
 
 end
 
@@ -253,17 +276,21 @@ attribute [simp] hom_equiv_naturality_left_symm hom_equiv_naturality_right
 
 variable {F : C ⥤ D} {G : D ⥤ C} (adj : CoreHomEquiv F G) {X' X : C} {Y Y' : D}
 
+#print CategoryTheory.Adjunction.CoreHomEquiv.homEquiv_naturality_left /-
 @[simp]
 theorem homEquiv_naturality_left (f : X' ⟶ X) (g : F.obj X ⟶ Y) :
     (adj.homEquiv X' Y) (F.map f ≫ g) = f ≫ (adj.homEquiv X Y) g := by
   rw [← Equiv.eq_symm_apply] <;> simp
 #align category_theory.adjunction.core_hom_equiv.hom_equiv_naturality_left CategoryTheory.Adjunction.CoreHomEquiv.homEquiv_naturality_left
+-/
 
+#print CategoryTheory.Adjunction.CoreHomEquiv.homEquiv_naturality_right_symm /-
 @[simp]
 theorem homEquiv_naturality_right_symm (f : X ⟶ G.obj Y) (g : Y ⟶ Y') :
     (adj.homEquiv X Y').symm (f ≫ G.map g) = (adj.homEquiv X Y).symm f ≫ g := by
   rw [Equiv.symm_apply_eq] <;> simp
 #align category_theory.adjunction.core_hom_equiv.hom_equiv_naturality_right_symm CategoryTheory.Adjunction.CoreHomEquiv.homEquiv_naturality_right_symm
+-/
 
 end CoreHomEquiv
 
@@ -364,6 +391,7 @@ def id : 𝟭 C ⊣ 𝟭 C where
 instance : Inhabited (Adjunction (𝟭 C) (𝟭 C)) :=
   ⟨id⟩
 
+#print CategoryTheory.Adjunction.equivHomsetLeftOfNatIso /-
 /-- If F and G are naturally isomorphic functors, establish an equivalence of hom-sets. -/
 @[simps]
 def equivHomsetLeftOfNatIso {F F' : C ⥤ D} (iso : F ≅ F') {X : C} {Y : D} :
@@ -374,7 +402,9 @@ def equivHomsetLeftOfNatIso {F F' : C ⥤ D} (iso : F ≅ F') {X : C} {Y : D} :
   left_inv f := by simp
   right_inv g := by simp
 #align category_theory.adjunction.equiv_homset_left_of_nat_iso CategoryTheory.Adjunction.equivHomsetLeftOfNatIso
+-/
 
+#print CategoryTheory.Adjunction.equivHomsetRightOfNatIso /-
 /-- If G and H are naturally isomorphic functors, establish an equivalence of hom-sets. -/
 @[simps]
 def equivHomsetRightOfNatIso {G G' : D ⥤ C} (iso : G ≅ G') {X : C} {Y : D} :
@@ -385,6 +415,7 @@ def equivHomsetRightOfNatIso {G G' : D ⥤ C} (iso : G ≅ G') {X : C} {Y : D} :
   left_inv f := by simp
   right_inv g := by simp
 #align category_theory.adjunction.equiv_homset_right_of_nat_iso CategoryTheory.Adjunction.equivHomsetRightOfNatIso
+-/
 
 #print CategoryTheory.Adjunction.ofNatIsoLeft /-
 /-- Transport an adjunction along an natural isomorphism on the left. -/
@@ -473,11 +504,10 @@ variable (e : ∀ X Y, (F_obj X ⟶ Y) ≃ (X ⟶ G.obj Y))
 
 variable (he : ∀ X Y Y' g h, e X Y' (h ≫ g) = e X Y h ≫ G.map g)
 
-include he
-
 private theorem he' {X Y Y'} (f g) : (e X Y').symm (f ≫ G.map g) = (e X Y).symm f ≫ g := by
   intros <;> rw [Equiv.symm_apply_eq, he] <;> simp
 
+#print CategoryTheory.Adjunction.leftAdjointOfEquiv /-
 /-- Construct a left adjoint functor to `G`, given the functor's value on objects `F_obj` and
 a bijection `e` between `F_obj X ⟶ Y` and `X ⟶ G.obj Y` satisfying a naturality law
 `he : ∀ X Y Y' g h, e X Y' (h ≫ g) = e X Y h ≫ G.map g`.
@@ -494,7 +524,9 @@ def leftAdjointOfEquiv : C ⥤ D where
       rw [assoc, ← he, id_comp, Equiv.apply_symm_apply]
     simp
 #align category_theory.adjunction.left_adjoint_of_equiv CategoryTheory.Adjunction.leftAdjointOfEquiv
+-/
 
+#print CategoryTheory.Adjunction.adjunctionOfEquivLeft /-
 /-- Show that the functor given by `left_adjoint_of_equiv` is indeed left adjoint to `G`. Dual
 to `adjunction_of_equiv_right`. -/
 @[simps]
@@ -506,6 +538,7 @@ def adjunctionOfEquivLeft : leftAdjointOfEquiv e he ⊣ G :=
         erw [← he' e he, ← Equiv.apply_eq_iff_eq]
         simp [(he _ _ _ _ _).symm] }
 #align category_theory.adjunction.adjunction_of_equiv_left CategoryTheory.Adjunction.adjunctionOfEquivLeft
+-/
 
 end ConstructLeft
 
@@ -518,11 +551,10 @@ variable (e : ∀ X Y, (F.obj X ⟶ Y) ≃ (X ⟶ G_obj Y))
 
 variable (he : ∀ X' X Y f g, e X' Y (F.map f ≫ g) = f ≫ e X Y g)
 
-include he
-
 private theorem he' {X' X Y} (f g) : F.map f ≫ (e X Y).symm g = (e X' Y).symm (f ≫ g) := by
   intros <;> rw [Equiv.eq_symm_apply, he] <;> simp
 
+#print CategoryTheory.Adjunction.rightAdjointOfEquiv /-
 /-- Construct a right adjoint functor to `F`, given the functor's value on objects `G_obj` and
 a bijection `e` between `F.obj X ⟶ Y` and `X ⟶ G_obj Y` satisfying a naturality law
 `he : ∀ X Y Y' g h, e X' Y (F.map f ≫ g) = f ≫ e X Y g`.
@@ -539,7 +571,9 @@ def rightAdjointOfEquiv : D ⥤ C where
       rw [← assoc, he' e he, comp_id, Equiv.symm_apply_apply]
     simp
 #align category_theory.adjunction.right_adjoint_of_equiv CategoryTheory.Adjunction.rightAdjointOfEquiv
+-/
 
+#print CategoryTheory.Adjunction.adjunctionOfEquivRight /-
 /-- Show that the functor given by `right_adjoint_of_equiv` is indeed right adjoint to `F`. Dual
 to `adjunction_of_equiv_left`. -/
 @[simps]
@@ -551,9 +585,11 @@ def adjunctionOfEquivRight : F ⊣ rightAdjointOfEquiv e he :=
         intro X Y Y' g h
         erw [← he, Equiv.apply_eq_iff_eq, ← assoc, he' e he, comp_id, Equiv.symm_apply_apply] }
 #align category_theory.adjunction.adjunction_of_equiv_right CategoryTheory.Adjunction.adjunctionOfEquivRight
+-/
 
 end ConstructRight
 
+#print CategoryTheory.Adjunction.toEquivalence /-
 /--
 If the unit and counit of a given adjunction are (pointwise) isomorphisms, then we can upgrade the
 adjunction to an equivalence.
@@ -567,7 +603,9 @@ noncomputable def toEquivalence (adj : F ⊣ G) [∀ X, IsIso (adj.Unit.app X)]
   unitIso := NatIso.ofComponents (fun X => asIso (adj.Unit.app X)) (by simp)
   counitIso := NatIso.ofComponents (fun Y => asIso (adj.counit.app Y)) (by simp)
 #align category_theory.adjunction.to_equivalence CategoryTheory.Adjunction.toEquivalence
+-/
 
+#print CategoryTheory.Adjunction.isRightAdjointToIsEquivalence /-
 /--
 If the unit and counit for the adjunction corresponding to a right adjoint functor are (pointwise)
 isomorphisms, then the functor is an equivalence of categories.
@@ -578,6 +616,7 @@ noncomputable def isRightAdjointToIsEquivalence [IsRightAdjoint G]
     [∀ Y, IsIso ((Adjunction.ofRightAdjoint G).counit.app Y)] : IsEquivalence G :=
   IsEquivalence.ofEquivalenceInverse (Adjunction.ofRightAdjoint G).toEquivalence
 #align category_theory.adjunction.is_right_adjoint_to_is_equivalence CategoryTheory.Adjunction.isRightAdjointToIsEquivalence
+-/
 
 end Adjunction
 
@@ -585,6 +624,7 @@ open Adjunction
 
 namespace Equivalence
 
+#print CategoryTheory.Equivalence.toAdjunction /-
 /-- The adjunction given by an equivalence of categories. (To obtain the opposite adjunction,
 simply use `e.symm.to_adjunction`. -/
 def toAdjunction (e : C ≌ D) : e.Functor ⊣ e.inverse :=
@@ -592,18 +632,23 @@ def toAdjunction (e : C ≌ D) : e.Functor ⊣ e.inverse :=
     ⟨e.Unit, e.counit, by ext; dsimp; simp only [id_comp]; exact e.functor_unit_comp _, by ext;
       dsimp; simp only [id_comp]; exact e.unit_inverse_comp _⟩
 #align category_theory.equivalence.to_adjunction CategoryTheory.Equivalence.toAdjunction
+-/
 
+#print CategoryTheory.Equivalence.asEquivalence_toAdjunction_unit /-
 @[simp]
 theorem asEquivalence_toAdjunction_unit {e : C ≌ D} :
     e.Functor.asEquivalence.toAdjunction.Unit = e.Unit :=
   rfl
 #align category_theory.equivalence.as_equivalence_to_adjunction_unit CategoryTheory.Equivalence.asEquivalence_toAdjunction_unit
+-/
 
+#print CategoryTheory.Equivalence.asEquivalence_toAdjunction_counit /-
 @[simp]
 theorem asEquivalence_toAdjunction_counit {e : C ≌ D} :
     e.Functor.asEquivalence.toAdjunction.counit = e.counit :=
   rfl
 #align category_theory.equivalence.as_equivalence_to_adjunction_counit CategoryTheory.Equivalence.asEquivalence_toAdjunction_counit
+-/
 
 end Equivalence
 
Diff
@@ -337,16 +337,16 @@ def mkOfUnitCounit (adj : CoreUnitCounit F G) : F ⊣ G :=
           rw [F.map_comp, assoc, ← functor.comp_map, adj.counit.naturality, ← assoc]
           convert id_comp f
           have t := congr_arg (fun t : nat_trans _ _ => t.app _) adj.left_triangle
-          dsimp at t
-          simp only [id_comp] at t
+          dsimp at t 
+          simp only [id_comp] at t 
           exact t
         right_inv := fun g => by
           change _ ≫ G.map (_ ≫ _) = _
           rw [G.map_comp, ← assoc, ← functor.comp_map, ← adj.unit.naturality, assoc]
           convert comp_id g
           have t := congr_arg (fun t : nat_trans _ _ => t.app _) adj.right_triangle
-          dsimp at t
-          simp only [id_comp] at t
+          dsimp at t 
+          simp only [id_comp] at t 
           exact t } }
 #align category_theory.adjunction.mk_of_unit_counit CategoryTheory.Adjunction.mkOfUnitCounit
 -/
Diff
@@ -134,48 +134,30 @@ section
 
 variable {F : C ⥤ D} {G : D ⥤ C} (adj : F ⊣ G) {X' X : C} {Y Y' : D}
 
-/- warning: category_theory.adjunction.hom_equiv_id -> CategoryTheory.Adjunction.homEquiv_id is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_id CategoryTheory.Adjunction.homEquiv_idₓ'. -/
 theorem homEquiv_id (X : C) : adj.homEquiv X _ (𝟙 _) = adj.Unit.app X := by simp
 #align category_theory.adjunction.hom_equiv_id CategoryTheory.Adjunction.homEquiv_id
 
-/- warning: category_theory.adjunction.hom_equiv_symm_id -> CategoryTheory.Adjunction.homEquiv_symm_id is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_symm_id CategoryTheory.Adjunction.homEquiv_symm_idₓ'. -/
 theorem homEquiv_symm_id (X : D) : (adj.homEquiv _ X).symm (𝟙 _) = adj.counit.app X := by simp
 #align category_theory.adjunction.hom_equiv_symm_id CategoryTheory.Adjunction.homEquiv_symm_id
 
-/- warning: category_theory.adjunction.hom_equiv_naturality_left_symm -> CategoryTheory.Adjunction.homEquiv_naturality_left_symm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_naturality_left_symm CategoryTheory.Adjunction.homEquiv_naturality_left_symmₓ'. -/
 @[simp]
 theorem homEquiv_naturality_left_symm (f : X' ⟶ X) (g : X ⟶ G.obj Y) :
     (adj.homEquiv X' Y).symm (f ≫ g) = F.map f ≫ (adj.homEquiv X Y).symm g := by
   rw [hom_equiv_counit, F.map_comp, assoc, adj.hom_equiv_counit.symm]
 #align category_theory.adjunction.hom_equiv_naturality_left_symm CategoryTheory.Adjunction.homEquiv_naturality_left_symm
 
-/- warning: category_theory.adjunction.hom_equiv_naturality_left -> CategoryTheory.Adjunction.homEquiv_naturality_left is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_naturality_left CategoryTheory.Adjunction.homEquiv_naturality_leftₓ'. -/
 @[simp]
 theorem homEquiv_naturality_left (f : X' ⟶ X) (g : F.obj X ⟶ Y) :
     (adj.homEquiv X' Y) (F.map f ≫ g) = f ≫ (adj.homEquiv X Y) g := by
   rw [← Equiv.eq_symm_apply] <;> simp [-hom_equiv_unit]
 #align category_theory.adjunction.hom_equiv_naturality_left CategoryTheory.Adjunction.homEquiv_naturality_left
 
-/- warning: category_theory.adjunction.hom_equiv_naturality_right -> CategoryTheory.Adjunction.homEquiv_naturality_right is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_naturality_right CategoryTheory.Adjunction.homEquiv_naturality_rightₓ'. -/
 @[simp]
 theorem homEquiv_naturality_right (f : F.obj X ⟶ Y) (g : Y ⟶ Y') :
     (adj.homEquiv X Y') (f ≫ g) = (adj.homEquiv X Y) f ≫ G.map g := by
   rw [hom_equiv_unit, G.map_comp, ← assoc, ← hom_equiv_unit]
 #align category_theory.adjunction.hom_equiv_naturality_right CategoryTheory.Adjunction.homEquiv_naturality_right
 
-/- warning: category_theory.adjunction.hom_equiv_naturality_right_symm -> CategoryTheory.Adjunction.homEquiv_naturality_right_symm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_naturality_right_symm CategoryTheory.Adjunction.homEquiv_naturality_right_symmₓ'. -/
 @[simp]
 theorem homEquiv_naturality_right_symm (f : X ⟶ G.obj Y) (g : Y ⟶ Y') :
     (adj.homEquiv X Y').symm (f ≫ G.map g) = (adj.homEquiv X Y).symm f ≫ g := by
@@ -202,62 +184,35 @@ theorem right_triangle : whiskerLeft G adj.Unit ≫ whiskerRight adj.counit G =
 #align category_theory.adjunction.right_triangle CategoryTheory.Adjunction.right_triangle
 -/
 
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 @[simp, reassoc]
 theorem left_triangle_components :
     F.map (adj.Unit.app X) ≫ adj.counit.app (F.obj X) = 𝟙 (F.obj X) :=
   congr_arg (fun t : NatTrans _ (𝟭 C ⋙ F) => t.app X) adj.left_triangle
 #align category_theory.adjunction.left_triangle_components CategoryTheory.Adjunction.left_triangle_components
 
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-<too large>
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 @[simp, reassoc]
 theorem right_triangle_components {Y : D} :
     adj.Unit.app (G.obj Y) ≫ G.map (adj.counit.app Y) = 𝟙 (G.obj Y) :=
   congr_arg (fun t : NatTrans _ (G ⋙ 𝟭 C) => t.app Y) adj.right_triangle
 #align category_theory.adjunction.right_triangle_components CategoryTheory.Adjunction.right_triangle_components
 
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 @[simp, reassoc]
 theorem counit_naturality {X Y : D} (f : X ⟶ Y) :
     F.map (G.map f) ≫ adj.counit.app Y = adj.counit.app X ≫ f :=
   adj.counit.naturality f
 #align category_theory.adjunction.counit_naturality CategoryTheory.Adjunction.counit_naturality
 
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 @[simp, reassoc]
 theorem unit_naturality {X Y : C} (f : X ⟶ Y) :
     adj.Unit.app X ≫ G.map (F.map f) = f ≫ adj.Unit.app Y :=
   (adj.Unit.naturality f).symm
 #align category_theory.adjunction.unit_naturality CategoryTheory.Adjunction.unit_naturality
 
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-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_apply_eq CategoryTheory.Adjunction.homEquiv_apply_eqₓ'. -/
 theorem homEquiv_apply_eq {A : C} {B : D} (f : F.obj A ⟶ B) (g : A ⟶ G.obj B) :
     adj.homEquiv A B f = g ↔ f = (adj.homEquiv A B).symm g :=
   ⟨fun h => by cases h; simp, fun h => by cases h; simp⟩
 #align category_theory.adjunction.hom_equiv_apply_eq CategoryTheory.Adjunction.homEquiv_apply_eq
 
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 theorem eq_homEquiv_apply {A : C} {B : D} (f : F.obj A ⟶ B) (g : A ⟶ G.obj B) :
     g = adj.homEquiv A B f ↔ (adj.homEquiv A B).symm g = f :=
   ⟨fun h => by cases h; simp, fun h => by cases h; simp⟩
@@ -298,18 +253,12 @@ attribute [simp] hom_equiv_naturality_left_symm hom_equiv_naturality_right
 
 variable {F : C ⥤ D} {G : D ⥤ C} (adj : CoreHomEquiv F G) {X' X : C} {Y Y' : D}
 
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-<too large>
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 @[simp]
 theorem homEquiv_naturality_left (f : X' ⟶ X) (g : F.obj X ⟶ Y) :
     (adj.homEquiv X' Y) (F.map f ≫ g) = f ≫ (adj.homEquiv X Y) g := by
   rw [← Equiv.eq_symm_apply] <;> simp
 #align category_theory.adjunction.core_hom_equiv.hom_equiv_naturality_left CategoryTheory.Adjunction.CoreHomEquiv.homEquiv_naturality_left
 
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 @[simp]
 theorem homEquiv_naturality_right_symm (f : X ⟶ G.obj Y) (g : Y ⟶ Y') :
     (adj.homEquiv X Y').symm (f ≫ G.map g) = (adj.homEquiv X Y).symm f ≫ g := by
@@ -415,12 +364,6 @@ def id : 𝟭 C ⊣ 𝟭 C where
 instance : Inhabited (Adjunction (𝟭 C) (𝟭 C)) :=
   ⟨id⟩
 
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 /-- If F and G are naturally isomorphic functors, establish an equivalence of hom-sets. -/
 @[simps]
 def equivHomsetLeftOfNatIso {F F' : C ⥤ D} (iso : F ≅ F') {X : C} {Y : D} :
@@ -432,12 +375,6 @@ def equivHomsetLeftOfNatIso {F F' : C ⥤ D} (iso : F ≅ F') {X : C} {Y : D} :
   right_inv g := by simp
 #align category_theory.adjunction.equiv_homset_left_of_nat_iso CategoryTheory.Adjunction.equivHomsetLeftOfNatIso
 
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 /-- If G and H are naturally isomorphic functors, establish an equivalence of hom-sets. -/
 @[simps]
 def equivHomsetRightOfNatIso {G G' : D ⥤ C} (iso : G ≅ G') {X : C} {Y : D} :
@@ -541,9 +478,6 @@ include he
 private theorem he' {X Y Y'} (f g) : (e X Y').symm (f ≫ G.map g) = (e X Y).symm f ≫ g := by
   intros <;> rw [Equiv.symm_apply_eq, he] <;> simp
 
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-<too large>
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 /-- Construct a left adjoint functor to `G`, given the functor's value on objects `F_obj` and
 a bijection `e` between `F_obj X ⟶ Y` and `X ⟶ G.obj Y` satisfying a naturality law
 `he : ∀ X Y Y' g h, e X Y' (h ≫ g) = e X Y h ≫ G.map g`.
@@ -561,9 +495,6 @@ def leftAdjointOfEquiv : C ⥤ D where
     simp
 #align category_theory.adjunction.left_adjoint_of_equiv CategoryTheory.Adjunction.leftAdjointOfEquiv
 
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-<too large>
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 /-- Show that the functor given by `left_adjoint_of_equiv` is indeed left adjoint to `G`. Dual
 to `adjunction_of_equiv_right`. -/
 @[simps]
@@ -592,9 +523,6 @@ include he
 private theorem he' {X' X Y} (f g) : F.map f ≫ (e X Y).symm g = (e X' Y).symm (f ≫ g) := by
   intros <;> rw [Equiv.eq_symm_apply, he] <;> simp
 
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-<too large>
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 /-- Construct a right adjoint functor to `F`, given the functor's value on objects `G_obj` and
 a bijection `e` between `F.obj X ⟶ Y` and `X ⟶ G_obj Y` satisfying a naturality law
 `he : ∀ X Y Y' g h, e X' Y (F.map f ≫ g) = f ≫ e X Y g`.
@@ -612,9 +540,6 @@ def rightAdjointOfEquiv : D ⥤ C where
     simp
 #align category_theory.adjunction.right_adjoint_of_equiv CategoryTheory.Adjunction.rightAdjointOfEquiv
 
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 /-- Show that the functor given by `right_adjoint_of_equiv` is indeed right adjoint to `F`. Dual
 to `adjunction_of_equiv_left`. -/
 @[simps]
@@ -629,12 +554,6 @@ def adjunctionOfEquivRight : F ⊣ rightAdjointOfEquiv e he :=
 
 end ConstructRight
 
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 /--
 If the unit and counit of a given adjunction are (pointwise) isomorphisms, then we can upgrade the
 adjunction to an equivalence.
@@ -649,12 +568,6 @@ noncomputable def toEquivalence (adj : F ⊣ G) [∀ X, IsIso (adj.Unit.app X)]
   counitIso := NatIso.ofComponents (fun Y => asIso (adj.counit.app Y)) (by simp)
 #align category_theory.adjunction.to_equivalence CategoryTheory.Adjunction.toEquivalence
 
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 /--
 If the unit and counit for the adjunction corresponding to a right adjoint functor are (pointwise)
 isomorphisms, then the functor is an equivalence of categories.
@@ -672,12 +585,6 @@ open Adjunction
 
 namespace Equivalence
 
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 /-- The adjunction given by an equivalence of categories. (To obtain the opposite adjunction,
 simply use `e.symm.to_adjunction`. -/
 def toAdjunction (e : C ≌ D) : e.Functor ⊣ e.inverse :=
@@ -686,24 +593,12 @@ def toAdjunction (e : C ≌ D) : e.Functor ⊣ e.inverse :=
       dsimp; simp only [id_comp]; exact e.unit_inverse_comp _⟩
 #align category_theory.equivalence.to_adjunction CategoryTheory.Equivalence.toAdjunction
 
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 @[simp]
 theorem asEquivalence_toAdjunction_unit {e : C ≌ D} :
     e.Functor.asEquivalence.toAdjunction.Unit = e.Unit :=
   rfl
 #align category_theory.equivalence.as_equivalence_to_adjunction_unit CategoryTheory.Equivalence.asEquivalence_toAdjunction_unit
 
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 @[simp]
 theorem asEquivalence_toAdjunction_counit {e : C ≌ D} :
     e.Functor.asEquivalence.toAdjunction.counit = e.counit :=
Diff
@@ -252,11 +252,7 @@ theorem unit_naturality {X Y : C} (f : X ⟶ Y) :
 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_apply_eq CategoryTheory.Adjunction.homEquiv_apply_eqₓ'. -/
 theorem homEquiv_apply_eq {A : C} {B : D} (f : F.obj A ⟶ B) (g : A ⟶ G.obj B) :
     adj.homEquiv A B f = g ↔ f = (adj.homEquiv A B).symm g :=
-  ⟨fun h => by
-    cases h
-    simp, fun h => by
-    cases h
-    simp⟩
+  ⟨fun h => by cases h; simp, fun h => by cases h; simp⟩
 #align category_theory.adjunction.hom_equiv_apply_eq CategoryTheory.Adjunction.homEquiv_apply_eq
 
 /- warning: category_theory.adjunction.eq_hom_equiv_apply -> CategoryTheory.Adjunction.eq_homEquiv_apply is a dubious translation:
@@ -264,11 +260,7 @@ theorem homEquiv_apply_eq {A : C} {B : D} (f : F.obj A ⟶ B) (g : A ⟶ G.obj B
 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.eq_hom_equiv_apply CategoryTheory.Adjunction.eq_homEquiv_applyₓ'. -/
 theorem eq_homEquiv_apply {A : C} {B : D} (f : F.obj A ⟶ B) (g : A ⟶ G.obj B) :
     g = adj.homEquiv A B f ↔ (adj.homEquiv A B).symm g = f :=
-  ⟨fun h => by
-    cases h
-    simp, fun h => by
-    cases h
-    simp⟩
+  ⟨fun h => by cases h; simp, fun h => by cases h; simp⟩
 #align category_theory.adjunction.eq_hom_equiv_apply CategoryTheory.Adjunction.eq_homEquiv_apply
 
 end
@@ -690,15 +682,8 @@ Case conversion may be inaccurate. Consider using '#align category_theory.equiva
 simply use `e.symm.to_adjunction`. -/
 def toAdjunction (e : C ≌ D) : e.Functor ⊣ e.inverse :=
   mkOfUnitCounit
-    ⟨e.Unit, e.counit, by
-      ext
-      dsimp
-      simp only [id_comp]
-      exact e.functor_unit_comp _, by
-      ext
-      dsimp
-      simp only [id_comp]
-      exact e.unit_inverse_comp _⟩
+    ⟨e.Unit, e.counit, by ext; dsimp; simp only [id_comp]; exact e.functor_unit_comp _, by ext;
+      dsimp; simp only [id_comp]; exact e.unit_inverse_comp _⟩
 #align category_theory.equivalence.to_adjunction CategoryTheory.Equivalence.toAdjunction
 
 /- warning: category_theory.equivalence.as_equivalence_to_adjunction_unit -> CategoryTheory.Equivalence.asEquivalence_toAdjunction_unit is a dubious translation:
Diff
@@ -135,28 +135,19 @@ section
 variable {F : C ⥤ D} {G : D ⥤ C} (adj : F ⊣ G) {X' X : C} {Y Y' : D}
 
 /- warning: category_theory.adjunction.hom_equiv_id -> CategoryTheory.Adjunction.homEquiv_id is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_id CategoryTheory.Adjunction.homEquiv_idₓ'. -/
 theorem homEquiv_id (X : C) : adj.homEquiv X _ (𝟙 _) = adj.Unit.app X := by simp
 #align category_theory.adjunction.hom_equiv_id CategoryTheory.Adjunction.homEquiv_id
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_symm_id CategoryTheory.Adjunction.homEquiv_symm_idₓ'. -/
 theorem homEquiv_symm_id (X : D) : (adj.homEquiv _ X).symm (𝟙 _) = adj.counit.app X := by simp
 #align category_theory.adjunction.hom_equiv_symm_id CategoryTheory.Adjunction.homEquiv_symm_id
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_naturality_left_symm CategoryTheory.Adjunction.homEquiv_naturality_left_symmₓ'. -/
 @[simp]
 theorem homEquiv_naturality_left_symm (f : X' ⟶ X) (g : X ⟶ G.obj Y) :
@@ -165,10 +156,7 @@ theorem homEquiv_naturality_left_symm (f : X' ⟶ X) (g : X ⟶ G.obj Y) :
 #align category_theory.adjunction.hom_equiv_naturality_left_symm CategoryTheory.Adjunction.homEquiv_naturality_left_symm
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_naturality_left CategoryTheory.Adjunction.homEquiv_naturality_leftₓ'. -/
 @[simp]
 theorem homEquiv_naturality_left (f : X' ⟶ X) (g : F.obj X ⟶ Y) :
@@ -177,10 +165,7 @@ theorem homEquiv_naturality_left (f : X' ⟶ X) (g : F.obj X ⟶ Y) :
 #align category_theory.adjunction.hom_equiv_naturality_left CategoryTheory.Adjunction.homEquiv_naturality_left
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_naturality_right CategoryTheory.Adjunction.homEquiv_naturality_rightₓ'. -/
 @[simp]
 theorem homEquiv_naturality_right (f : F.obj X ⟶ Y) (g : Y ⟶ Y') :
@@ -189,10 +174,7 @@ theorem homEquiv_naturality_right (f : F.obj X ⟶ Y) (g : Y ⟶ Y') :
 #align category_theory.adjunction.hom_equiv_naturality_right CategoryTheory.Adjunction.homEquiv_naturality_right
 
 /- warning: category_theory.adjunction.hom_equiv_naturality_right_symm -> CategoryTheory.Adjunction.homEquiv_naturality_right_symm is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_naturality_right_symm CategoryTheory.Adjunction.homEquiv_naturality_right_symmₓ'. -/
 @[simp]
 theorem homEquiv_naturality_right_symm (f : X ⟶ G.obj Y) (g : Y ⟶ Y') :
@@ -233,10 +215,7 @@ theorem left_triangle_components :
 #align category_theory.adjunction.left_triangle_components CategoryTheory.Adjunction.left_triangle_components
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.right_triangle_components CategoryTheory.Adjunction.right_triangle_componentsₓ'. -/
 @[simp, reassoc]
 theorem right_triangle_components {Y : D} :
@@ -269,10 +248,7 @@ theorem unit_naturality {X Y : C} (f : X ⟶ Y) :
 #align category_theory.adjunction.unit_naturality CategoryTheory.Adjunction.unit_naturality
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_apply_eq CategoryTheory.Adjunction.homEquiv_apply_eqₓ'. -/
 theorem homEquiv_apply_eq {A : C} {B : D} (f : F.obj A ⟶ B) (g : A ⟶ G.obj B) :
     adj.homEquiv A B f = g ↔ f = (adj.homEquiv A B).symm g :=
@@ -284,10 +260,7 @@ theorem homEquiv_apply_eq {A : C} {B : D} (f : F.obj A ⟶ B) (g : A ⟶ G.obj B
 #align category_theory.adjunction.hom_equiv_apply_eq CategoryTheory.Adjunction.homEquiv_apply_eq
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.eq_hom_equiv_apply CategoryTheory.Adjunction.eq_homEquiv_applyₓ'. -/
 theorem eq_homEquiv_apply {A : C} {B : D} (f : F.obj A ⟶ B) (g : A ⟶ G.obj B) :
     g = adj.homEquiv A B f ↔ (adj.homEquiv A B).symm g = f :=
@@ -334,10 +307,7 @@ attribute [simp] hom_equiv_naturality_left_symm hom_equiv_naturality_right
 variable {F : C ⥤ D} {G : D ⥤ C} (adj : CoreHomEquiv F G) {X' X : C} {Y Y' : D}
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.core_hom_equiv.hom_equiv_naturality_left CategoryTheory.Adjunction.CoreHomEquiv.homEquiv_naturality_leftₓ'. -/
 @[simp]
 theorem homEquiv_naturality_left (f : X' ⟶ X) (g : F.obj X ⟶ Y) :
@@ -346,10 +316,7 @@ theorem homEquiv_naturality_left (f : X' ⟶ X) (g : F.obj X ⟶ Y) :
 #align category_theory.adjunction.core_hom_equiv.hom_equiv_naturality_left CategoryTheory.Adjunction.CoreHomEquiv.homEquiv_naturality_left
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.core_hom_equiv.hom_equiv_naturality_right_symm CategoryTheory.Adjunction.CoreHomEquiv.homEquiv_naturality_right_symmₓ'. -/
 @[simp]
 theorem homEquiv_naturality_right_symm (f : X ⟶ G.obj Y) (g : Y ⟶ Y') :
@@ -581,13 +548,9 @@ include he
 
 private theorem he' {X Y Y'} (f g) : (e X Y').symm (f ≫ G.map g) = (e X Y).symm f ≫ g := by
   intros <;> rw [Equiv.symm_apply_eq, he] <;> simp
-#align category_theory.adjunction.he' category_theory.adjunction.he'
 
 /- warning: category_theory.adjunction.left_adjoint_of_equiv -> CategoryTheory.Adjunction.leftAdjointOfEquiv is a dubious translation:
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 /-- Construct a left adjoint functor to `G`, given the functor's value on objects `F_obj` and
 a bijection `e` between `F_obj X ⟶ Y` and `X ⟶ G.obj Y` satisfying a naturality law
@@ -607,10 +570,7 @@ def leftAdjointOfEquiv : C ⥤ D where
 #align category_theory.adjunction.left_adjoint_of_equiv CategoryTheory.Adjunction.leftAdjointOfEquiv
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.adjunction_of_equiv_left CategoryTheory.Adjunction.adjunctionOfEquivLeftₓ'. -/
 /-- Show that the functor given by `left_adjoint_of_equiv` is indeed left adjoint to `G`. Dual
 to `adjunction_of_equiv_right`. -/
@@ -639,13 +599,9 @@ include he
 
 private theorem he' {X' X Y} (f g) : F.map f ≫ (e X Y).symm g = (e X' Y).symm (f ≫ g) := by
   intros <;> rw [Equiv.eq_symm_apply, he] <;> simp
-#align category_theory.adjunction.he' category_theory.adjunction.he'
 
 /- warning: category_theory.adjunction.right_adjoint_of_equiv -> CategoryTheory.Adjunction.rightAdjointOfEquiv is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.right_adjoint_of_equiv CategoryTheory.Adjunction.rightAdjointOfEquivₓ'. -/
 /-- Construct a right adjoint functor to `F`, given the functor's value on objects `G_obj` and
 a bijection `e` between `F.obj X ⟶ Y` and `X ⟶ G_obj Y` satisfying a naturality law
@@ -665,10 +621,7 @@ def rightAdjointOfEquiv : D ⥤ C where
 #align category_theory.adjunction.right_adjoint_of_equiv CategoryTheory.Adjunction.rightAdjointOfEquiv
 
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u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 F) X) Y) (fun (_x : Quiver.Hom.{succ u2, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 F) X) Y) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : Quiver.Hom.{succ u2, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 F) X) Y) => Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) X (G_obj Y)) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} (Quiver.Hom.{succ u2, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 F) X) Y) (Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) X (G_obj Y))) (e X Y) g))), CategoryTheory.Adjunction.{u1, u2, u3, u4} C _inst_1 D _inst_2 F (CategoryTheory.Adjunction.rightAdjointOfEquiv.{u1, u2, u3, u4} C _inst_1 D _inst_2 F (fun (Y : D) => G_obj Y) e he)
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.adjunction_of_equiv_right CategoryTheory.Adjunction.adjunctionOfEquivRightₓ'. -/
 /-- Show that the functor given by `right_adjoint_of_equiv` is indeed right adjoint to `F`. Dual
 to `adjunction_of_equiv_left`. -/
Diff
@@ -226,7 +226,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D] {F : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u2, u1, u4, u3} D _inst_2 C _inst_1} (adj : CategoryTheory.Adjunction.{u1, u2, u3, u4} C _inst_1 D _inst_2 F G) {X : C}, Eq.{succ u2} (Quiver.Hom.{succ u2, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 F) (Prefunctor.obj.{succ u1, succ u1, u3, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C 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(CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u2, u4, u4} D _inst_2 D _inst_2 (CategoryTheory.Functor.id.{u2, u4} D _inst_2)) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 F) X)) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 F) (Prefunctor.obj.{succ u1, succ u1, u3, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u3, u3} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u3} C _inst_1)) X) (Prefunctor.obj.{succ u1, succ u1, u3, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u3, u3} C _inst_1 C _inst_1 (CategoryTheory.Functor.comp.{u1, u2, u1, u3, u4, u3} C _inst_1 D _inst_2 C _inst_1 F G)) X) (CategoryTheory.NatTrans.app.{u1, u1, u3, u3} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u3} C _inst_1) (CategoryTheory.Functor.comp.{u1, u2, u1, u3, u4, u3} C _inst_1 D _inst_2 C _inst_1 F G) (CategoryTheory.Adjunction.unit.{u1, u2, u3, u4} C _inst_1 D _inst_2 F G adj) X)) (CategoryTheory.NatTrans.app.{u2, u2, u4, u4} D _inst_2 D _inst_2 (CategoryTheory.Functor.comp.{u2, u1, u2, u4, u3, u4} D _inst_2 C _inst_1 D _inst_2 G F) (CategoryTheory.Functor.id.{u2, u4} D _inst_2) (CategoryTheory.Adjunction.counit.{u1, u2, u3, u4} C _inst_1 D _inst_2 F G adj) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 F) X))) (CategoryTheory.CategoryStruct.id.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 F) X))
 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.left_triangle_components CategoryTheory.Adjunction.left_triangle_componentsₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem left_triangle_components :
     F.map (adj.Unit.app X) ≫ adj.counit.app (F.obj X) = 𝟙 (F.obj X) :=
   congr_arg (fun t : NatTrans _ (𝟭 C ⋙ F) => t.app X) adj.left_triangle
@@ -238,7 +238,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D] {F : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u2, u1, u4, u3} D _inst_2 C _inst_1} (adj : CategoryTheory.Adjunction.{u1, u2, u3, u4} C _inst_1 D _inst_2 F G) {Y : D}, Eq.{succ u1} (Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (Prefunctor.obj.{succ u1, succ u1, u3, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u3, u3} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u3} C _inst_1)) (Prefunctor.obj.{succ u2, succ u1, u4, u3} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u2, u1, u4, u3} D _inst_2 C _inst_1 G) Y)) (Prefunctor.obj.{succ u2, succ u1, u4, u3} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u2, u1, u4, u3} D _inst_2 C _inst_1 G) (Prefunctor.obj.{succ u2, succ u2, u4, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u2, u4, u4} D _inst_2 D _inst_2 (CategoryTheory.Functor.id.{u2, u4} D _inst_2)) Y))) (CategoryTheory.CategoryStruct.comp.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1) (Prefunctor.obj.{succ u1, succ u1, u3, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u3, u3} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u3} C _inst_1)) (Prefunctor.obj.{succ u2, succ u1, u4, u3} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u2, u1, u4, u3} D _inst_2 C _inst_1 G) Y)) (Prefunctor.obj.{succ u1, succ u1, u3, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u3, u3} C _inst_1 C _inst_1 (CategoryTheory.Functor.comp.{u1, u2, u1, u3, u4, u3} C _inst_1 D _inst_2 C _inst_1 F G)) (Prefunctor.obj.{succ u2, succ u1, u4, u3} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u2, u1, u4, u3} D _inst_2 C _inst_1 G) Y)) (Prefunctor.obj.{succ u2, succ u1, u4, u3} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u2, u1, u4, u3} D _inst_2 C _inst_1 G) (Prefunctor.obj.{succ u2, succ u2, u4, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u2, u4, u4} D _inst_2 D _inst_2 (CategoryTheory.Functor.id.{u2, u4} D _inst_2)) Y)) (CategoryTheory.NatTrans.app.{u1, u1, u3, u3} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u3} C _inst_1) (CategoryTheory.Functor.comp.{u1, u2, u1, u3, u4, u3} C _inst_1 D _inst_2 C _inst_1 F G) (CategoryTheory.Adjunction.unit.{u1, u2, u3, u4} C _inst_1 D _inst_2 F G adj) (Prefunctor.obj.{succ u2, succ u1, u4, u3} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u2, u1, u4, u3} D _inst_2 C _inst_1 G) Y)) (Prefunctor.map.{succ u2, succ u1, u4, u3} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u2, u1, u4, u3} D _inst_2 C _inst_1 G) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 F) (Prefunctor.obj.{succ u2, succ u1, u4, u3} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u2, u1, u4, u3} D _inst_2 C _inst_1 G) Y)) (Prefunctor.obj.{succ u2, succ u2, u4, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u2, u4, u4} D _inst_2 D _inst_2 (CategoryTheory.Functor.id.{u2, u4} D _inst_2)) Y) (CategoryTheory.NatTrans.app.{u2, u2, u4, u4} D _inst_2 D _inst_2 (CategoryTheory.Functor.comp.{u2, u1, u2, u4, u3, u4} D _inst_2 C _inst_1 D _inst_2 G F) (CategoryTheory.Functor.id.{u2, u4} D _inst_2) (CategoryTheory.Adjunction.counit.{u1, u2, u3, u4} C _inst_1 D _inst_2 F G adj) Y))) (CategoryTheory.CategoryStruct.id.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1) (Prefunctor.obj.{succ u2, succ u1, u4, u3} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u2, u1, u4, u3} D _inst_2 C _inst_1 G) Y))
 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.right_triangle_components CategoryTheory.Adjunction.right_triangle_componentsₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem right_triangle_components {Y : D} :
     adj.Unit.app (G.obj Y) ≫ G.map (adj.counit.app Y) = 𝟙 (G.obj Y) :=
   congr_arg (fun t : NatTrans _ (G ⋙ 𝟭 C) => t.app Y) adj.right_triangle
@@ -250,7 +250,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D] {F : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u2, u1, u4, u3} D _inst_2 C _inst_1} (adj : CategoryTheory.Adjunction.{u1, u2, u3, u4} C _inst_1 D _inst_2 F G) {X : D} {Y : D} (f : Quiver.Hom.{succ u2, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) X Y), Eq.{succ u2} (Quiver.Hom.{succ u2, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 F) (Prefunctor.obj.{succ u2, succ u1, u4, u3} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u2, u1, u4, u3} D _inst_2 C _inst_1 G) X)) (Prefunctor.obj.{succ u2, succ u2, u4, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u2, u4, u4} D _inst_2 D _inst_2 (CategoryTheory.Functor.id.{u2, u4} D _inst_2)) Y)) (CategoryTheory.CategoryStruct.comp.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C 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(CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 F) (Prefunctor.obj.{succ u2, succ u1, u4, u3} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u2, u1, u4, u3} D _inst_2 C _inst_1 G) X) (Prefunctor.obj.{succ u2, succ u1, u4, u3} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u2, u1, u4, u3} D _inst_2 C _inst_1 G) Y) (Prefunctor.map.{succ u2, succ u1, u4, u3} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u2, u1, u4, u3} D _inst_2 C _inst_1 G) X Y f)) (CategoryTheory.NatTrans.app.{u2, u2, u4, u4} D _inst_2 D _inst_2 (CategoryTheory.Functor.comp.{u2, u1, u2, u4, u3, u4} D _inst_2 C _inst_1 D _inst_2 G F) (CategoryTheory.Functor.id.{u2, u4} D _inst_2) (CategoryTheory.Adjunction.counit.{u1, u2, u3, u4} C _inst_1 D _inst_2 F G adj) Y)) (CategoryTheory.CategoryStruct.comp.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2) (Prefunctor.obj.{succ u2, succ u2, u4, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u2, u4, u4} D _inst_2 D _inst_2 (CategoryTheory.Functor.comp.{u2, u1, u2, u4, u3, u4} D _inst_2 C _inst_1 D _inst_2 G F)) X) (Prefunctor.obj.{succ u2, succ u2, u4, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u2, u4, u4} D _inst_2 D _inst_2 (CategoryTheory.Functor.id.{u2, u4} D _inst_2)) X) Y (CategoryTheory.NatTrans.app.{u2, u2, u4, u4} D _inst_2 D _inst_2 (CategoryTheory.Functor.comp.{u2, u1, u2, u4, u3, u4} D _inst_2 C _inst_1 D _inst_2 G F) (CategoryTheory.Functor.id.{u2, u4} D _inst_2) (CategoryTheory.Adjunction.counit.{u1, u2, u3, u4} C _inst_1 D _inst_2 F G adj) X) f)
 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.counit_naturality CategoryTheory.Adjunction.counit_naturalityₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem counit_naturality {X Y : D} (f : X ⟶ Y) :
     F.map (G.map f) ≫ adj.counit.app Y = adj.counit.app X ≫ f :=
   adj.counit.naturality f
@@ -262,7 +262,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D] {F : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u2, u1, u4, u3} D _inst_2 C _inst_1} (adj : CategoryTheory.Adjunction.{u1, u2, u3, u4} C _inst_1 D _inst_2 F G) {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) X Y), Eq.{succ u1} (Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (Prefunctor.obj.{succ u1, succ u1, u3, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u3, u3} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u3} C _inst_1)) X) (Prefunctor.obj.{succ u2, succ u1, u4, u3} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u2, u1, u4, u3} D _inst_2 C _inst_1 G) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 F) Y))) (CategoryTheory.CategoryStruct.comp.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1) (Prefunctor.obj.{succ u1, succ u1, u3, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u3, u3} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u3} C _inst_1)) X) (Prefunctor.obj.{succ u1, succ u1, u3, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u3, u3} C _inst_1 C _inst_1 (CategoryTheory.Functor.comp.{u1, u2, u1, u3, u4, u3} C _inst_1 D _inst_2 C _inst_1 F G)) X) (Prefunctor.obj.{succ u2, succ u1, u4, u3} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C 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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.unit_naturality CategoryTheory.Adjunction.unit_naturalityₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem unit_naturality {X Y : C} (f : X ⟶ Y) :
     adj.Unit.app X ≫ G.map (F.map f) = f ≫ adj.Unit.app Y :=
   (adj.Unit.naturality f).symm
Diff
@@ -138,7 +138,7 @@ variable {F : C ⥤ D} {G : D ⥤ C} (adj : F ⊣ G) {X' X : C} {Y Y' : D}
 lean 3 declaration is
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 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_id CategoryTheory.Adjunction.homEquiv_idₓ'. -/
 theorem homEquiv_id (X : C) : adj.homEquiv X _ (𝟙 _) = adj.Unit.app X := by simp
 #align category_theory.adjunction.hom_equiv_id CategoryTheory.Adjunction.homEquiv_id
@@ -147,7 +147,7 @@ theorem homEquiv_id (X : C) : adj.homEquiv X _ (𝟙 _) = adj.Unit.app X := by s
 lean 3 declaration is
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 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_symm_id CategoryTheory.Adjunction.homEquiv_symm_idₓ'. -/
 theorem homEquiv_symm_id (X : D) : (adj.homEquiv _ X).symm (𝟙 _) = adj.counit.app X := by simp
 #align category_theory.adjunction.hom_equiv_symm_id CategoryTheory.Adjunction.homEquiv_symm_id
@@ -156,7 +156,7 @@ theorem homEquiv_symm_id (X : D) : (adj.homEquiv _ X).symm (𝟙 _) = adj.counit
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_naturality_left_symm CategoryTheory.Adjunction.homEquiv_naturality_left_symmₓ'. -/
 @[simp]
 theorem homEquiv_naturality_left_symm (f : X' ⟶ X) (g : X ⟶ G.obj Y) :
@@ -168,7 +168,7 @@ theorem homEquiv_naturality_left_symm (f : X' ⟶ X) (g : X ⟶ G.obj Y) :
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_naturality_left CategoryTheory.Adjunction.homEquiv_naturality_leftₓ'. -/
 @[simp]
 theorem homEquiv_naturality_left (f : X' ⟶ X) (g : F.obj X ⟶ Y) :
@@ -180,7 +180,7 @@ theorem homEquiv_naturality_left (f : X' ⟶ X) (g : F.obj X ⟶ Y) :
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_naturality_right CategoryTheory.Adjunction.homEquiv_naturality_rightₓ'. -/
 @[simp]
 theorem homEquiv_naturality_right (f : F.obj X ⟶ Y) (g : Y ⟶ Y') :
@@ -192,7 +192,7 @@ theorem homEquiv_naturality_right (f : F.obj X ⟶ Y) (g : Y ⟶ Y') :
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_naturality_right_symm CategoryTheory.Adjunction.homEquiv_naturality_right_symmₓ'. -/
 @[simp]
 theorem homEquiv_naturality_right_symm (f : X ⟶ G.obj Y) (g : Y ⟶ Y') :
@@ -272,7 +272,7 @@ theorem unit_naturality {X Y : C} (f : X ⟶ Y) :
 lean 3 declaration is
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 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_apply_eq CategoryTheory.Adjunction.homEquiv_apply_eqₓ'. -/
 theorem homEquiv_apply_eq {A : C} {B : D} (f : F.obj A ⟶ B) (g : A ⟶ G.obj B) :
     adj.homEquiv A B f = g ↔ f = (adj.homEquiv A B).symm g :=
@@ -287,7 +287,7 @@ theorem homEquiv_apply_eq {A : C} {B : D} (f : F.obj A ⟶ B) (g : A ⟶ G.obj B
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.eq_hom_equiv_apply CategoryTheory.Adjunction.eq_homEquiv_applyₓ'. -/
 theorem eq_homEquiv_apply {A : C} {B : D} (f : F.obj A ⟶ B) (g : A ⟶ G.obj B) :
     g = adj.homEquiv A B f ↔ (adj.homEquiv A B).symm g = f :=
@@ -337,7 +337,7 @@ variable {F : C ⥤ D} {G : D ⥤ C} (adj : CoreHomEquiv F G) {X' X : C} {Y Y' :
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.core_hom_equiv.hom_equiv_naturality_left CategoryTheory.Adjunction.CoreHomEquiv.homEquiv_naturality_leftₓ'. -/
 @[simp]
 theorem homEquiv_naturality_left (f : X' ⟶ X) (g : F.obj X ⟶ Y) :
@@ -349,7 +349,7 @@ theorem homEquiv_naturality_left (f : X' ⟶ X) (g : F.obj X ⟶ Y) :
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.core_hom_equiv.hom_equiv_naturality_right_symm CategoryTheory.Adjunction.CoreHomEquiv.homEquiv_naturality_right_symmₓ'. -/
 @[simp]
 theorem homEquiv_naturality_right_symm (f : X ⟶ G.obj Y) (g : Y ⟶ Y') :
@@ -587,7 +587,7 @@ private theorem he' {X Y Y'} (f g) : (e X Y').symm (f ≫ G.map g) = (e X Y).sym
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.left_adjoint_of_equiv CategoryTheory.Adjunction.leftAdjointOfEquivₓ'. -/
 /-- Construct a left adjoint functor to `G`, given the functor's value on objects `F_obj` and
 a bijection `e` between `F_obj X ⟶ Y` and `X ⟶ G.obj Y` satisfying a naturality law
@@ -610,7 +610,7 @@ def leftAdjointOfEquiv : C ⥤ D where
 lean 3 declaration is
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 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.adjunction_of_equiv_left CategoryTheory.Adjunction.adjunctionOfEquivLeftₓ'. -/
 /-- Show that the functor given by `left_adjoint_of_equiv` is indeed left adjoint to `G`. Dual
 to `adjunction_of_equiv_right`. -/
@@ -645,7 +645,7 @@ private theorem he' {X' X Y} (f g) : F.map f ≫ (e X Y).symm g = (e X' Y).symm
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.right_adjoint_of_equiv CategoryTheory.Adjunction.rightAdjointOfEquivₓ'. -/
 /-- Construct a right adjoint functor to `F`, given the functor's value on objects `G_obj` and
 a bijection `e` between `F.obj X ⟶ Y` and `X ⟶ G_obj Y` satisfying a naturality law
@@ -668,7 +668,7 @@ def rightAdjointOfEquiv : D ⥤ C where
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.adjunction_of_equiv_right CategoryTheory.Adjunction.adjunctionOfEquivRightₓ'. -/
 /-- Show that the functor given by `right_adjoint_of_equiv` is indeed right adjoint to `F`. Dual
 to `adjunction_of_equiv_left`. -/
Diff
@@ -138,7 +138,7 @@ variable {F : C ⥤ D} {G : D ⥤ C} (adj : F ⊣ G) {X' X : C} {Y Y' : D}
 lean 3 declaration is
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 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_id CategoryTheory.Adjunction.homEquiv_idₓ'. -/
 theorem homEquiv_id (X : C) : adj.homEquiv X _ (𝟙 _) = adj.Unit.app X := by simp
 #align category_theory.adjunction.hom_equiv_id CategoryTheory.Adjunction.homEquiv_id
@@ -147,7 +147,7 @@ theorem homEquiv_id (X : C) : adj.homEquiv X _ (𝟙 _) = adj.Unit.app X := by s
 lean 3 declaration is
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 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_symm_id CategoryTheory.Adjunction.homEquiv_symm_idₓ'. -/
 theorem homEquiv_symm_id (X : D) : (adj.homEquiv _ X).symm (𝟙 _) = adj.counit.app X := by simp
 #align category_theory.adjunction.hom_equiv_symm_id CategoryTheory.Adjunction.homEquiv_symm_id
@@ -156,7 +156,7 @@ theorem homEquiv_symm_id (X : D) : (adj.homEquiv _ X).symm (𝟙 _) = adj.counit
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_naturality_left_symm CategoryTheory.Adjunction.homEquiv_naturality_left_symmₓ'. -/
 @[simp]
 theorem homEquiv_naturality_left_symm (f : X' ⟶ X) (g : X ⟶ G.obj Y) :
@@ -168,7 +168,7 @@ theorem homEquiv_naturality_left_symm (f : X' ⟶ X) (g : X ⟶ G.obj Y) :
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_naturality_left CategoryTheory.Adjunction.homEquiv_naturality_leftₓ'. -/
 @[simp]
 theorem homEquiv_naturality_left (f : X' ⟶ X) (g : F.obj X ⟶ Y) :
@@ -180,7 +180,7 @@ theorem homEquiv_naturality_left (f : X' ⟶ X) (g : F.obj X ⟶ Y) :
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_naturality_right CategoryTheory.Adjunction.homEquiv_naturality_rightₓ'. -/
 @[simp]
 theorem homEquiv_naturality_right (f : F.obj X ⟶ Y) (g : Y ⟶ Y') :
@@ -192,7 +192,7 @@ theorem homEquiv_naturality_right (f : F.obj X ⟶ Y) (g : Y ⟶ Y') :
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_naturality_right_symm CategoryTheory.Adjunction.homEquiv_naturality_right_symmₓ'. -/
 @[simp]
 theorem homEquiv_naturality_right_symm (f : X ⟶ G.obj Y) (g : Y ⟶ Y') :
@@ -272,7 +272,7 @@ theorem unit_naturality {X Y : C} (f : X ⟶ Y) :
 lean 3 declaration is
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 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.hom_equiv_apply_eq CategoryTheory.Adjunction.homEquiv_apply_eqₓ'. -/
 theorem homEquiv_apply_eq {A : C} {B : D} (f : F.obj A ⟶ B) (g : A ⟶ G.obj B) :
     adj.homEquiv A B f = g ↔ f = (adj.homEquiv A B).symm g :=
@@ -287,7 +287,7 @@ theorem homEquiv_apply_eq {A : C} {B : D} (f : F.obj A ⟶ B) (g : A ⟶ G.obj B
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.eq_hom_equiv_apply CategoryTheory.Adjunction.eq_homEquiv_applyₓ'. -/
 theorem eq_homEquiv_apply {A : C} {B : D} (f : F.obj A ⟶ B) (g : A ⟶ G.obj B) :
     g = adj.homEquiv A B f ↔ (adj.homEquiv A B).symm g = f :=
@@ -337,7 +337,7 @@ variable {F : C ⥤ D} {G : D ⥤ C} (adj : CoreHomEquiv F G) {X' X : C} {Y Y' :
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.core_hom_equiv.hom_equiv_naturality_left CategoryTheory.Adjunction.CoreHomEquiv.homEquiv_naturality_leftₓ'. -/
 @[simp]
 theorem homEquiv_naturality_left (f : X' ⟶ X) (g : F.obj X ⟶ Y) :
@@ -349,7 +349,7 @@ theorem homEquiv_naturality_left (f : X' ⟶ X) (g : F.obj X ⟶ Y) :
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.core_hom_equiv.hom_equiv_naturality_right_symm CategoryTheory.Adjunction.CoreHomEquiv.homEquiv_naturality_right_symmₓ'. -/
 @[simp]
 theorem homEquiv_naturality_right_symm (f : X ⟶ G.obj Y) (g : Y ⟶ Y') :
@@ -587,7 +587,7 @@ private theorem he' {X Y Y'} (f g) : (e X Y').symm (f ≫ G.map g) = (e X Y).sym
 lean 3 declaration is
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 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.left_adjoint_of_equiv CategoryTheory.Adjunction.leftAdjointOfEquivₓ'. -/
 /-- Construct a left adjoint functor to `G`, given the functor's value on objects `F_obj` and
 a bijection `e` between `F_obj X ⟶ Y` and `X ⟶ G.obj Y` satisfying a naturality law
@@ -610,7 +610,7 @@ def leftAdjointOfEquiv : C ⥤ D where
 lean 3 declaration is
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 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.adjunction_of_equiv_left CategoryTheory.Adjunction.adjunctionOfEquivLeftₓ'. -/
 /-- Show that the functor given by `left_adjoint_of_equiv` is indeed left adjoint to `G`. Dual
 to `adjunction_of_equiv_right`. -/
@@ -645,7 +645,7 @@ private theorem he' {X' X Y} (f g) : F.map f ≫ (e X Y).symm g = (e X' Y).symm
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.right_adjoint_of_equiv CategoryTheory.Adjunction.rightAdjointOfEquivₓ'. -/
 /-- Construct a right adjoint functor to `F`, given the functor's value on objects `G_obj` and
 a bijection `e` between `F.obj X ⟶ Y` and `X ⟶ G_obj Y` satisfying a naturality law
@@ -668,7 +668,7 @@ def rightAdjointOfEquiv : D ⥤ C where
 lean 3 declaration is
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(CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1) X' X (G_obj Y) f (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (Equiv.{succ u2, succ u1} (Quiver.Hom.{succ u2, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 F) X) Y) (Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) X (G_obj Y))) (Quiver.Hom.{succ u2, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 F) X) Y) (fun (_x : Quiver.Hom.{succ u2, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 F) X) Y) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : Quiver.Hom.{succ u2, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 F) X) Y) => Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) X (G_obj Y)) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} (Quiver.Hom.{succ u2, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 F) X) Y) (Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) X (G_obj Y))) (e X Y) g))), CategoryTheory.Adjunction.{u1, u2, u3, u4} C _inst_1 D _inst_2 F (CategoryTheory.Adjunction.rightAdjointOfEquiv.{u1, u2, u3, u4} C _inst_1 D _inst_2 F (fun (Y : D) => G_obj Y) e he)
 Case conversion may be inaccurate. Consider using '#align category_theory.adjunction.adjunction_of_equiv_right CategoryTheory.Adjunction.adjunctionOfEquivRightₓ'. -/
 /-- Show that the functor given by `right_adjoint_of_equiv` is indeed right adjoint to `F`. Dual
 to `adjunction_of_equiv_left`. -/
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Reid Barton, Johan Commelin, Bhavik Mehta
 
 ! This file was ported from Lean 3 source module category_theory.adjunction.basic
-! leanprover-community/mathlib commit 14b69e9f3c16630440a2cbd46f1ddad0d561dee7
+! leanprover-community/mathlib commit 23aa88e32dcc9d2a24cca7bc23268567ed4cd7d6
 ! 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.Equivalence
 /-!
 # Adjunctions between functors
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 `F ⊣ G` represents the data of an adjunction between two functors
 `F : C ⥤ D` and `G : D ⥤ C`. `F` is the left adjoint and `G` is the right adjoint.
 

Changes in mathlib4

mathlib3
mathlib4
chore: classify porting notes referring to missing linters (#12098)

Reference the newly created issues #12094 and #12096, as well as the pre-existing #5171. Change all references to #10927 to #5171. Some of these changes were not labelled as "porting note"; change this for good measure.

Diff
@@ -242,7 +242,7 @@ namespace Adjunction
 See `Adjunction.mkOfHomEquiv`.
 This structure won't typically be used anywhere else.
 -/
--- Porting comment: `has_nonempty_instance` linter doesn't exist (yet?)
+-- Porting note(#5171): `has_nonempty_instance` linter not ported yet
 -- @[nolint has_nonempty_instance]
 structure CoreHomEquiv (F : C ⥤ D) (G : D ⥤ C) where
   /-- The equivalence between `Hom (F X) Y` and `Hom X (G Y)` -/
@@ -304,7 +304,7 @@ end CoreHomEquiv
 See `Adjunction.mkOfUnitCounit`.
 This structure won't typically be used anywhere else.
 -/
--- Porting comment: `has_nonempty_instance` linter doesn't exist (yet?)
+-- Porting note(#5171): `has_nonempty_instance` linter not ported yet
 -- @[nolint has_nonempty_instance]
 structure CoreUnitCounit (F : C ⥤ D) (G : D ⥤ C) where
   /-- The unit of an adjunction between `F` and `G` -/
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.

Diff
@@ -597,8 +597,8 @@ isomorphisms, then the functor is an equivalence of categories.
 @[simps!]
 noncomputable def isRightAdjointToIsEquivalence [IsRightAdjoint G]
     [∀ X, IsIso ((Adjunction.ofRightAdjoint G).unit.app X)]
-    [∀ Y, IsIso ((Adjunction.ofRightAdjoint G).counit.app Y)] : IsEquivalence G :=
-  IsEquivalence.ofEquivalenceInverse (Adjunction.ofRightAdjoint G).toEquivalence
+    [∀ Y, IsIso ((Adjunction.ofRightAdjoint G).counit.app Y)] : G.IsEquivalence :=
+  Functor.IsEquivalence.ofEquivalenceInverse (Adjunction.ofRightAdjoint G).toEquivalence
 #align category_theory.adjunction.is_right_adjoint_to_is_equivalence CategoryTheory.Adjunction.isRightAdjointToIsEquivalence
 
 end Adjunction
chore: remove mathport name: <expression> lines (#11928)

Quoting [@digama0](https://github.com/digama0):

These were actually never meant to go in the file, they are basically debugging information and only useful on significantly broken mathport files. You can safely remove all of them.

Diff
@@ -78,7 +78,6 @@ structure Adjunction (F : C ⥤ D) (G : D ⥤ C) where
 #align category_theory.adjunction.hom_equiv_counit CategoryTheory.Adjunction.homEquiv_counit
 #align category_theory.adjunction.hom_equiv_counit' CategoryTheory.Adjunction.homEquiv_counit
 
--- mathport name: «expr ⊣ »
 /-- The notation `F ⊣ G` stands for `Adjunction F G` representing that `F` is left adjoint to `G` -/
 infixl:15 " ⊣ " => Adjunction
 
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
@@ -494,9 +494,7 @@ section ConstructLeft
 -- Hom(X, GY) natural in Y. The action of F on morphisms can be
 -- constructed from this data.
 variable {F_obj : C → D}
-
 variable (e : ∀ X Y, (F_obj X ⟶ Y) ≃ (X ⟶ G.obj Y))
-
 variable (he : ∀ X Y Y' g h, e X Y' (h ≫ g) = e X Y h ≫ G.map g)
 
 private theorem he' {X Y Y'} (f g) : (e X Y').symm (f ≫ G.map g) = (e X Y).symm f ≫ g := by
@@ -541,9 +539,7 @@ section ConstructRight
 
 -- Construction of a right adjoint, analogous to the above.
 variable {G_obj : D → C}
-
 variable (e : ∀ X Y, (F.obj X ⟶ Y) ≃ (X ⟶ G_obj Y))
-
 variable (he : ∀ X' X Y f g, e X' Y (F.map f ≫ g) = f ≫ e X Y g)
 
 private theorem he'' {X' X Y} (f g) : F.map f ≫ (e X Y).symm g = (e X' Y).symm (f ≫ g) := by
chore: remove tactics (#11365)

More tactics that are not used, found using the linter at #11308.

The PR consists of tactic removals, whitespace changes and replacing a porting note by an explanation.

Diff
@@ -500,7 +500,7 @@ variable (e : ∀ X Y, (F_obj X ⟶ Y) ≃ (X ⟶ G.obj Y))
 variable (he : ∀ X Y Y' g h, e X Y' (h ≫ g) = e X Y h ≫ G.map g)
 
 private theorem he' {X Y Y'} (f g) : (e X Y').symm (f ≫ G.map g) = (e X Y).symm f ≫ g := by
-  intros; rw [Equiv.symm_apply_eq, he]; simp
+  rw [Equiv.symm_apply_eq, he]; simp
 -- #align category_theory.adjunction.he' category_theory.adjunction.he'
 
 /-- Construct a left adjoint functor to `G`, given the functor's value on objects `F_obj` and
@@ -547,7 +547,7 @@ variable (e : ∀ X Y, (F.obj X ⟶ Y) ≃ (X ⟶ G_obj Y))
 variable (he : ∀ X' X Y f g, e X' Y (F.map f ≫ g) = f ≫ e X Y g)
 
 private theorem he'' {X' X Y} (f g) : F.map f ≫ (e X Y).symm g = (e X' Y).symm (f ≫ g) := by
-  intros; rw [Equiv.eq_symm_apply, he]; simp
+  rw [Equiv.eq_symm_apply, he]; simp
 -- #align category_theory.adjunction.he' category_theory.adjunction.he'
 
 /-- Construct a right adjoint functor to `F`, given the functor's value on objects `G_obj` and
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
@@ -122,7 +122,7 @@ def Adjunction.ofRightAdjoint (right : C ⥤ D) [IsRightAdjoint right] :
 
 namespace Adjunction
 
--- porting note: Workaround not needed in Lean 4
+-- Porting note: Workaround not needed in Lean 4
 -- restate_axiom homEquiv_unit'
 
 -- restate_axiom homEquiv_counit'
feat(CategoryTheory): prerequisites for the existence of finite products in localized categories (#9702)

This PR contains various prerequisites in order to show that under suitable assumptions, a localized category of a category that has finite products also has finite products:

  • the equivalence of categories (J → C) ≌ (Discrete J ⥤ C)
  • more API for the existence of limits as a consequence of a right adjoint to the constant functor C ⥤ (J ⥤ C).
  • the typeclass MorphismProperty.IsStableUnderFiniteProducts
Diff
@@ -187,6 +187,8 @@ theorem right_triangle : whiskerLeft G adj.unit ≫ whiskerRight adj.counit G =
   simp
 #align category_theory.adjunction.right_triangle CategoryTheory.Adjunction.right_triangle
 
+variable (X Y)
+
 @[reassoc (attr := simp)]
 theorem left_triangle_components :
     F.map (adj.unit.app X) ≫ adj.counit.app (F.obj X) = 𝟙 (F.obj X) :=
@@ -194,11 +196,13 @@ theorem left_triangle_components :
 #align category_theory.adjunction.left_triangle_components CategoryTheory.Adjunction.left_triangle_components
 
 @[reassoc (attr := simp)]
-theorem right_triangle_components {Y : D} :
+theorem right_triangle_components :
     adj.unit.app (G.obj Y) ≫ G.map (adj.counit.app Y) = 𝟙 (G.obj Y) :=
   congr_arg (fun t : NatTrans _ (G ⋙ 𝟭 C) => t.app Y) adj.right_triangle
 #align category_theory.adjunction.right_triangle_components CategoryTheory.Adjunction.right_triangle_components
 
+variable {X Y}
+
 @[reassoc (attr := simp)]
 theorem counit_naturality {X Y : D} (f : X ⟶ Y) :
     F.map (G.map f) ≫ adj.counit.app Y = adj.counit.app X ≫ f :=
chore: remove nonterminal simp (#7580)

Removes nonterminal simps on lines looking like simp [...]

Diff
@@ -524,7 +524,7 @@ def adjunctionOfEquivLeft : leftAdjointOfEquiv e he ⊣ G :=
       homEquiv_naturality_left_symm := fun {X'} {X} {Y} f g => by
         have := @he' C _ D _ G F_obj e he
         erw [← this, ← Equiv.apply_eq_iff_eq (e X' Y)]
-        simp [(he X' (F_obj X) Y (e X Y |>.symm g) (leftAdjointOfEquiv e he |>.map f)).symm]
+        simp only [leftAdjointOfEquiv_obj, Equiv.apply_symm_apply, assoc]
         congr
         rw [← he]
         simp
chore(CategoryTheory/Adjunction/Basic): missing dsimp lemmas (#7361)
Diff
@@ -610,6 +610,7 @@ namespace Equivalence
 
 /-- The adjunction given by an equivalence of categories. (To obtain the opposite adjunction,
 simply use `e.symm.toAdjunction`. -/
+@[pp_dot, simps! unit counit]
 def toAdjunction (e : C ≌ D) : e.functor ⊣ e.inverse :=
   mkOfUnitCounit
     ⟨e.unit, e.counit, by
@@ -623,17 +624,8 @@ def toAdjunction (e : C ≌ D) : e.functor ⊣ e.inverse :=
       exact e.unit_inverse_comp _⟩
 #align category_theory.equivalence.to_adjunction CategoryTheory.Equivalence.toAdjunction
 
-@[simp]
-theorem asEquivalence_toAdjunction_unit {e : C ≌ D} :
-    e.functor.asEquivalence.toAdjunction.unit = e.unit :=
-  rfl
-#align category_theory.equivalence.as_equivalence_to_adjunction_unit CategoryTheory.Equivalence.asEquivalence_toAdjunction_unit
-
-@[simp]
-theorem asEquivalence_toAdjunction_counit {e : C ≌ D} :
-    e.functor.asEquivalence.toAdjunction.counit = e.counit :=
-  rfl
-#align category_theory.equivalence.as_equivalence_to_adjunction_counit CategoryTheory.Equivalence.asEquivalence_toAdjunction_counit
+#align category_theory.equivalence.as_equivalence_to_adjunction_unit CategoryTheory.Equivalence.toAdjunction_unitₓ
+#align category_theory.equivalence.as_equivalence_to_adjunction_counit CategoryTheory.Equivalence.toAdjunction_counitₓ
 
 end Equivalence
 
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
@@ -2,14 +2,11 @@
 Copyright (c) 2019 Reid Barton. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Reid Barton, Johan Commelin, Bhavik Mehta
-
-! This file was ported from Lean 3 source module category_theory.adjunction.basic
-! leanprover-community/mathlib commit d101e93197bb5f6ea89bd7ba386b7f7dff1f3903
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Equivalence
 
+#align_import category_theory.adjunction.basic from "leanprover-community/mathlib"@"d101e93197bb5f6ea89bd7ba386b7f7dff1f3903"
+
 /-!
 # Adjunctions between functors
 
chore: remove occurrences of semicolon after space (#5713)

This is the second half of the changes originally in #5699, removing all occurrences of ; after a space and implementing a linter rule to enforce it.

In most cases this 2-character substring has a space after it, so the following command was run first:

find . -type f -name "*.lean" -exec sed -i -E 's/ ; /; /g' {} \;

The remaining cases were few enough in number that they were done manually.

Diff
@@ -279,23 +279,23 @@ variable {F : C ⥤ D} {G : D ⥤ C} (adj : CoreHomEquiv F G) {X' X : C} {Y Y' :
 @[simp]
 theorem homEquiv_naturality_left_aux (f : X' ⟶ X) (g : F.obj X ⟶ Y) :
     (adj.homEquiv X' (F.obj X)) (F.map f) ≫ G.map g = f ≫ (adj.homEquiv X Y) g := by
-  rw [← homEquiv_naturality_right, ← Equiv.eq_symm_apply] ; simp
+  rw [← homEquiv_naturality_right, ← Equiv.eq_symm_apply]; simp
 
 -- @[simp] -- Porting note: LHS simplifies, added aux lemma above
 theorem homEquiv_naturality_left (f : X' ⟶ X) (g : F.obj X ⟶ Y) :
     (adj.homEquiv X' Y) (F.map f ≫ g) = f ≫ (adj.homEquiv X Y) g := by
-  rw [← Equiv.eq_symm_apply] ; simp
+  rw [← Equiv.eq_symm_apply]; simp
 #align category_theory.adjunction.core_hom_equiv.hom_equiv_naturality_left CategoryTheory.Adjunction.CoreHomEquiv.homEquiv_naturality_left
 
 @[simp]
 theorem homEquiv_naturality_right_symm_aux (f : X ⟶ G.obj Y) (g : Y ⟶ Y') :
     F.map f ≫ (adj.homEquiv (G.obj Y) Y').symm (G.map g) = (adj.homEquiv X Y).symm f ≫ g := by
-  rw [← homEquiv_naturality_left_symm, Equiv.symm_apply_eq] ; simp
+  rw [← homEquiv_naturality_left_symm, Equiv.symm_apply_eq]; simp
 
 -- @[simp] -- Porting note: LHS simplifies, added aux lemma above
 theorem homEquiv_naturality_right_symm (f : X ⟶ G.obj Y) (g : Y ⟶ Y') :
     (adj.homEquiv X Y').symm (f ≫ G.map g) = (adj.homEquiv X Y).symm f ≫ g := by
-  rw [Equiv.symm_apply_eq] ; simp
+  rw [Equiv.symm_apply_eq]; simp
 #align category_theory.adjunction.core_hom_equiv.hom_equiv_naturality_right_symm CategoryTheory.Adjunction.CoreHomEquiv.homEquiv_naturality_right_symm
 
 end CoreHomEquiv
@@ -499,7 +499,7 @@ variable (e : ∀ X Y, (F_obj X ⟶ Y) ≃ (X ⟶ G.obj Y))
 variable (he : ∀ X Y Y' g h, e X Y' (h ≫ g) = e X Y h ≫ G.map g)
 
 private theorem he' {X Y Y'} (f g) : (e X Y').symm (f ≫ G.map g) = (e X Y).symm f ≫ g := by
-  intros ; rw [Equiv.symm_apply_eq, he] ; simp
+  intros; rw [Equiv.symm_apply_eq, he]; simp
 -- #align category_theory.adjunction.he' category_theory.adjunction.he'
 
 /-- Construct a left adjoint functor to `G`, given the functor's value on objects `F_obj` and
@@ -546,7 +546,7 @@ variable (e : ∀ X Y, (F.obj X ⟶ Y) ≃ (X ⟶ G_obj Y))
 variable (he : ∀ X' X Y f g, e X' Y (F.map f ≫ g) = f ≫ e X Y g)
 
 private theorem he'' {X' X Y} (f g) : F.map f ≫ (e X Y).symm g = (e X' Y).symm (f ≫ g) := by
-  intros ; rw [Equiv.eq_symm_apply, he] ; simp
+  intros; rw [Equiv.eq_symm_apply, he]; simp
 -- #align category_theory.adjunction.he' category_theory.adjunction.he'
 
 /-- Construct a right adjoint functor to `F`, given the functor's value on objects `G_obj` and
chore: fix grammar 1/3 (#5001)

All of these are doc fixes

Diff
@@ -425,13 +425,13 @@ def equivHomsetRightOfNatIso {G G' : D ⥤ C} (iso : G ≅ G') {X : C} {Y : D} :
   right_inv g := by simp
 #align category_theory.adjunction.equiv_homset_right_of_nat_iso CategoryTheory.Adjunction.equivHomsetRightOfNatIso
 
-/-- Transport an adjunction along an natural isomorphism on the left. -/
+/-- Transport an adjunction along a natural isomorphism on the left. -/
 def ofNatIsoLeft {F G : C ⥤ D} {H : D ⥤ C} (adj : F ⊣ H) (iso : F ≅ G) : G ⊣ H :=
   Adjunction.mkOfHomEquiv
     { homEquiv := fun X Y => (equivHomsetLeftOfNatIso iso.symm).trans (adj.homEquiv X Y) }
 #align category_theory.adjunction.of_nat_iso_left CategoryTheory.Adjunction.ofNatIsoLeft
 
-/-- Transport an adjunction along an natural isomorphism on the right. -/
+/-- Transport an adjunction along a natural isomorphism on the right. -/
 def ofNatIsoRight {F : C ⥤ D} {G H : D ⥤ C} (adj : F ⊣ G) (iso : G ≅ H) : F ⊣ H :=
   Adjunction.mkOfHomEquiv
     { homEquiv := fun X Y => (adj.homEquiv X Y).trans (equivHomsetRightOfNatIso iso) }
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
@@ -590,8 +590,8 @@ noncomputable def toEquivalence (adj : F ⊣ G) [∀ X, IsIso (adj.unit.app X)]
     where
   functor := F
   inverse := G
-  unitIso := NatIso.ofComponents (fun X => asIso (adj.unit.app X)) (by simp)
-  counitIso := NatIso.ofComponents (fun Y => asIso (adj.counit.app Y)) (by simp)
+  unitIso := NatIso.ofComponents fun X => asIso (adj.unit.app X)
+  counitIso := NatIso.ofComponents fun Y => asIso (adj.counit.app Y)
 #align category_theory.adjunction.to_equivalence CategoryTheory.Adjunction.toEquivalence
 
 /--
chore: bye-bye, solo bys! (#3825)

This PR puts, with one exception, every single remaining by that lies all by itself on its own line to the previous line, thus matching the current behaviour of start-port.sh. The exception is when the by begins the second or later argument to a tuple or anonymous constructor; see https://github.com/leanprover-community/mathlib4/pull/3825#discussion_r1186702599.

Essentially this is s/\n *by$/ by/g, but with manual editing to satisfy the linter's max-100-char-line requirement. The Python style linter is also modified to catch these "isolated bys".

Diff
@@ -510,8 +510,7 @@ Dual to `rightAdjointOfEquiv`. -/
 def leftAdjointOfEquiv : C ⥤ D where
   obj := F_obj
   map {X} {X'} f := (e X (F_obj X')).symm (f ≫ e X' (F_obj X') (𝟙 _))
-  map_comp := fun f f' =>
-    by
+  map_comp := fun f f' => by
     rw [Equiv.symm_apply_eq, he, Equiv.apply_symm_apply]
     conv =>
       rhs
feat: port CategoryTheory.Adjunction.FullyFaithful (#2418)
Diff
@@ -177,14 +177,14 @@ theorem homEquiv_naturality_right_symm (f : X ⟶ G.obj Y) (g : Y ⟶ Y') :
 #align category_theory.adjunction.hom_equiv_naturality_right_symm CategoryTheory.Adjunction.homEquiv_naturality_right_symm
 
 @[simp]
-theorem left_triangle : whiskerRight adj.unit F ≫ whiskerLeft F adj.counit = NatTrans.id _ := by
+theorem left_triangle : whiskerRight adj.unit F ≫ whiskerLeft F adj.counit = 𝟙 _ := by
   ext; dsimp
   erw [← adj.homEquiv_counit, Equiv.symm_apply_eq, adj.homEquiv_unit]
   simp
 #align category_theory.adjunction.left_triangle CategoryTheory.Adjunction.left_triangle
 
 @[simp]
-theorem right_triangle : whiskerLeft G adj.unit ≫ whiskerRight adj.counit G = NatTrans.id _ := by
+theorem right_triangle : whiskerLeft G adj.unit ≫ whiskerRight adj.counit G = 𝟙 _ := by
   ext; dsimp
   erw [← adj.homEquiv_unit, ← Equiv.eq_symm_apply, adj.homEquiv_counit]
   simp
@@ -387,10 +387,10 @@ def mkOfUnitCounit (adj : CoreUnitCounit F G) : F ⊣ G :=
           exact t } }
 #align category_theory.adjunction.mk_of_unit_counit CategoryTheory.Adjunction.mkOfUnitCounit
 
-/- Porting note: simpNF linter claims these are solved by simp but that 
+/- Porting note: simpNF linter claims these are solved by simp but that
 is not true -/
-attribute [nolint simpNF] CategoryTheory.Adjunction.mkOfUnitCounit_homEquiv_symm_apply 
-attribute [nolint simpNF] CategoryTheory.Adjunction.mkOfUnitCounit_homEquiv_apply 
+attribute [nolint simpNF] CategoryTheory.Adjunction.mkOfUnitCounit_homEquiv_symm_apply
+attribute [nolint simpNF] CategoryTheory.Adjunction.mkOfUnitCounit_homEquiv_apply
 
 /-- The adjunction between the identity functor on a category and itself. -/
 def id : 𝟭 C ⊣ 𝟭 C where
feat: port CategoryTheory.Adjunction.Basic (#2198)

Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Matthew Ballard <matt@mrb.email> Co-authored-by: thorimur <68410468+thorimur@users.noreply.github.com>

Dependencies 10

11 files ported (100.0%)
3043 lines ported (100.0%)

All dependencies are ported!