category_theory.closed.monoidal | Mathlib porting status

Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

Changes in mathlib3

0caf3701

(last sync)

feat(representation_theory/Rep): describe monoidal closed structure (#18148)

The monoidal closed structure on Rep k G defines an internal hom of representations; we show this agrees with representation.lin_hom. Moreover, the maps defining the hom-set bijection come from the tensor-hom adjunction for $k$-modules.

Diff

@@ -264,6 +264,32 @@ def of_equiv (F : monoidal_functor C D) [is_equivalence F.to_functor] [h : monoi
       exact adjunction.left_adjoint_of_nat_iso i,
     end } }
 
+/-- Suppose we have a monoidal equivalence `F : C ≌ D`, with `D` monoidal closed. We can pull the
+monoidal closed instance back along the equivalence. For `X, Y, Z : C`, this lemma describes the
+resulting currying map `Hom(X ⊗ Y, Z) → Hom(Y, (X ⟶[C] Z))`. (`X ⟶[C] Z` is defined to be
+`F⁻¹(F(X) ⟶[D] F(Z))`, so currying in `C` is given by essentially conjugating currying in
+`D` by `F.`) -/
+lemma of_equiv_curry_def (F : monoidal_functor C D) [is_equivalence F.to_functor]
+  [h : monoidal_closed D] {X Y Z : C} (f : X ⊗ Y ⟶ Z) :
+  @monoidal_closed.curry _ _ _ _ _ _ ((monoidal_closed.of_equiv F).1 _) f =
+  (F.1.1.adjunction.hom_equiv Y ((ihom _).obj _)) (monoidal_closed.curry
+  (F.1.1.inv.adjunction.hom_equiv (F.1.1.obj X ⊗ F.1.1.obj Y) Z
+  ((comp_inv_iso (F.comm_tensor_left X)).hom.app Y ≫ f))) := rfl
+
+/-- Suppose we have a monoidal equivalence `F : C ≌ D`, with `D` monoidal closed. We can pull the
+monoidal closed instance back along the equivalence. For `X, Y, Z : C`, this lemma describes the
+resulting uncurrying map `Hom(Y, (X ⟶[C] Z)) → Hom(X ⊗ Y ⟶ Z)`. (`X ⟶[C] Z` is
+defined to be `F⁻¹(F(X) ⟶[D] F(Z))`, so uncurrying in `C` is given by essentially conjugating
+uncurrying in `D` by `F.`) -/
+lemma of_equiv_uncurry_def
+  (F : monoidal_functor C D) [is_equivalence F.to_functor] [h : monoidal_closed D] {X Y Z : C}
+  (f : Y ⟶ (@ihom _ _ _ X $ (monoidal_closed.of_equiv F).1 X).obj Z) :
+  @monoidal_closed.uncurry _ _ _ _ _ _ ((monoidal_closed.of_equiv F).1 _) f =
+  (comp_inv_iso (F.comm_tensor_left X)).inv.app Y ≫ (F.1.1.inv.adjunction.hom_equiv
+  (F.1.1.obj X ⊗ F.1.1.obj Y) Z).symm (monoidal_closed.uncurry
+  ((F.1.1.adjunction.hom_equiv Y ((ihom (F.1.1.obj X)).obj (F.1.1.obj Z))).symm f)) :=
+rfl
+
 end of_equiv
 
 end monoidal_closed

c0e00a87

(first ported)

Changes in mathlib3port

mathlib3

mathlib3port

0caf3701

bump to nightly-2024-04-14-09

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

f736ea6b

Diff

@@ -403,8 +403,8 @@ variable {D : Type u₂} [Category.{v₂} D] [MonoidalCategory.{v₂} D]
 
 #print CategoryTheory.MonoidalClosed.ofEquiv /-
 /-- Transport the property of being monoidal closed across a monoidal equivalence of categories -/
-noncomputable def ofEquiv (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
-    [h : MonoidalClosed D] : MonoidalClosed C
+noncomputable def ofEquiv (F : MonoidalFunctor C D)
+    [CategoryTheory.Functor.IsEquivalence F.toFunctor] [h : MonoidalClosed D] : MonoidalClosed C
     where closed' X :=
     {
       isAdj := by
@@ -423,8 +423,9 @@ monoidal closed instance back along the equivalence. For `X, Y, Z : C`, this lem
 resulting currying map `Hom(X ⊗ Y, Z) → Hom(Y, (X ⟶[C] Z))`. (`X ⟶[C] Z` is defined to be
 `F⁻¹(F(X) ⟶[D] F(Z))`, so currying in `C` is given by essentially conjugating currying in
 `D` by `F.`) -/
-theorem ofEquiv_curry_def (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
-    [h : MonoidalClosed D] {X Y Z : C} (f : X ⊗ Y ⟶ Z) :
+theorem ofEquiv_curry_def (F : MonoidalFunctor C D)
+    [CategoryTheory.Functor.IsEquivalence F.toFunctor] [h : MonoidalClosed D] {X Y Z : C}
+    (f : X ⊗ Y ⟶ Z) :
     @MonoidalClosed.curry _ _ _ _ _ _ ((MonoidalClosed.ofEquiv F).1 _) f =
       (F.1.1.Adjunction.homEquiv Y ((ihom _).obj _))
         (MonoidalClosed.curry
@@ -441,8 +442,8 @@ monoidal closed instance back along the equivalence. For `X, Y, Z : C`, this lem
 resulting uncurrying map `Hom(Y, (X ⟶[C] Z)) → Hom(X ⊗ Y ⟶ Z)`. (`X ⟶[C] Z` is
 defined to be `F⁻¹(F(X) ⟶[D] F(Z))`, so uncurrying in `C` is given by essentially conjugating
 uncurrying in `D` by `F.`) -/
-theorem ofEquiv_uncurry_def (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
-    [h : MonoidalClosed D] {X Y Z : C}
+theorem ofEquiv_uncurry_def (F : MonoidalFunctor C D)
+    [CategoryTheory.Functor.IsEquivalence F.toFunctor] [h : MonoidalClosed D] {X Y Z : C}
     (f : Y ⟶ (@ihom _ _ _ X <| (MonoidalClosed.ofEquiv F).1 X).obj Z) :
     @MonoidalClosed.uncurry _ _ _ _ _ _ ((MonoidalClosed.ofEquiv F).1 _) f =
       (CategoryTheory.Iso.compInvIso (F.commTensorLeft X)).inv.app Y ≫

0caf3701

bump to nightly-2024-02-09-08

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

3ad77742

Diff

@@ -429,7 +429,7 @@ theorem ofEquiv_curry_def (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
       (F.1.1.Adjunction.homEquiv Y ((ihom _).obj _))
         (MonoidalClosed.curry
           (F.1.1.inv.Adjunction.homEquiv (F.1.1.obj X ⊗ F.1.1.obj Y) Z
-            ((compInvIso (F.commTensorLeft X)).Hom.app Y ≫ f))) :=
+            ((CategoryTheory.Iso.compInvIso (F.commTensorLeft X)).Hom.app Y ≫ f))) :=
   rfl
 #align category_theory.monoidal_closed.of_equiv_curry_def CategoryTheory.MonoidalClosed.ofEquiv_curry_def
 -/
@@ -445,7 +445,7 @@ theorem ofEquiv_uncurry_def (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor
     [h : MonoidalClosed D] {X Y Z : C}
     (f : Y ⟶ (@ihom _ _ _ X <| (MonoidalClosed.ofEquiv F).1 X).obj Z) :
     @MonoidalClosed.uncurry _ _ _ _ _ _ ((MonoidalClosed.ofEquiv F).1 _) f =
-      (compInvIso (F.commTensorLeft X)).inv.app Y ≫
+      (CategoryTheory.Iso.compInvIso (F.commTensorLeft X)).inv.app Y ≫
         (F.1.1.inv.Adjunction.homEquiv (F.1.1.obj X ⊗ F.1.1.obj Y) Z).symm
           (MonoidalClosed.uncurry
             ((F.1.1.Adjunction.homEquiv Y ((ihom (F.1.1.obj X)).obj (F.1.1.obj Z))).symm f)) :=

0caf3701

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,10 +3,10 @@ Copyright (c) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison, Bhavik Mehta
 -/
-import Mathbin.CategoryTheory.Monoidal.Functor
-import Mathbin.CategoryTheory.Adjunction.Limits
-import Mathbin.CategoryTheory.Adjunction.Mates
-import Mathbin.CategoryTheory.Functor.InvIsos
+import CategoryTheory.Monoidal.Functor
+import CategoryTheory.Adjunction.Limits
+import CategoryTheory.Adjunction.Mates
+import CategoryTheory.Functor.InvIsos
 
 #align_import category_theory.closed.monoidal from "leanprover-community/mathlib"@"0caf3701139ef2e69c215717665361cda205a90b"

0caf3701

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,17 +2,14 @@
 Copyright (c) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison, Bhavik Mehta
-
-! This file was ported from Lean 3 source module category_theory.closed.monoidal
-! leanprover-community/mathlib commit 0caf3701139ef2e69c215717665361cda205a90b
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Monoidal.Functor
 import Mathbin.CategoryTheory.Adjunction.Limits
 import Mathbin.CategoryTheory.Adjunction.Mates
 import Mathbin.CategoryTheory.Functor.InvIsos
 
+#align_import category_theory.closed.monoidal from "leanprover-community/mathlib"@"0caf3701139ef2e69c215717665361cda205a90b"
+
 /-!
 # Closed monoidal categories

0caf3701

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -139,34 +139,41 @@ theorem ihom_adjunction_unit : (ihom.adjunction A).Unit = coev A :=
 -/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.ihom.ev_naturality /-
 @[simp, reassoc]
 theorem ev_naturality {X Y : C} (f : X ⟶ Y) :
     (𝟙 A ⊗ (ihom A).map f) ≫ (ev A).app Y = (ev A).app X ≫ f :=
   (ev A).naturality f
 #align category_theory.ihom.ev_naturality CategoryTheory.ihom.ev_naturality
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.ihom.coev_naturality /-
 @[simp, reassoc]
 theorem coev_naturality {X Y : C} (f : X ⟶ Y) :
     f ≫ (coev A).app Y = (coev A).app X ≫ (ihom A).map (𝟙 A ⊗ f) :=
   (coev A).naturality f
 #align category_theory.ihom.coev_naturality CategoryTheory.ihom.coev_naturality
+-/
 
--- mathport name: ihom
 notation A " ⟶[" C "] " B:10 => (@ihom C _ _ A _).obj B
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.ihom.ev_coev /-
 @[simp, reassoc]
 theorem ev_coev : (𝟙 A ⊗ (coev A).app B) ≫ (ev A).app (A ⊗ B) = 𝟙 (A ⊗ B) :=
   Adjunction.left_triangle_components (ihom.adjunction A)
 #align category_theory.ihom.ev_coev CategoryTheory.ihom.ev_coev
+-/
 
+#print CategoryTheory.ihom.coev_ev /-
 @[simp, reassoc]
 theorem coev_ev : (coev A).app (A ⟶[C] B) ≫ (ihom A).map ((ev A).app B) = 𝟙 (A ⟶[C] B) :=
   Adjunction.right_triangle_components (ihom.adjunction A)
 #align category_theory.ihom.coev_ev CategoryTheory.ihom.coev_ev
+-/
 
 end Ihom
 
@@ -181,55 +188,71 @@ variable {A}
 namespace MonoidalClosed
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.MonoidalClosed.curry /-
 /-- Currying in a monoidal closed category. -/
 def curry : (A ⊗ Y ⟶ X) → (Y ⟶ A ⟶[C] X) :=
   (ihom.adjunction A).homEquiv _ _
 #align category_theory.monoidal_closed.curry CategoryTheory.MonoidalClosed.curry
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.MonoidalClosed.uncurry /-
 /-- Uncurrying in a monoidal closed category. -/
 def uncurry : (Y ⟶ A ⟶[C] X) → (A ⊗ Y ⟶ X) :=
   ((ihom.adjunction A).homEquiv _ _).symm
 #align category_theory.monoidal_closed.uncurry CategoryTheory.MonoidalClosed.uncurry
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.MonoidalClosed.homEquiv_apply_eq /-
 @[simp]
 theorem homEquiv_apply_eq (f : A ⊗ Y ⟶ X) : (ihom.adjunction A).homEquiv _ _ f = curry f :=
   rfl
 #align category_theory.monoidal_closed.hom_equiv_apply_eq CategoryTheory.MonoidalClosed.homEquiv_apply_eq
+-/
 
+#print CategoryTheory.MonoidalClosed.homEquiv_symm_apply_eq /-
 @[simp]
 theorem homEquiv_symm_apply_eq (f : Y ⟶ A ⟶[C] X) :
     ((ihom.adjunction A).homEquiv _ _).symm f = uncurry f :=
   rfl
 #align category_theory.monoidal_closed.hom_equiv_symm_apply_eq CategoryTheory.MonoidalClosed.homEquiv_symm_apply_eq
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.MonoidalClosed.curry_natural_left /-
 @[reassoc]
 theorem curry_natural_left (f : X ⟶ X') (g : A ⊗ X' ⟶ Y) : curry ((𝟙 _ ⊗ f) ≫ g) = f ≫ curry g :=
   Adjunction.homEquiv_naturality_left _ _ _
 #align category_theory.monoidal_closed.curry_natural_left CategoryTheory.MonoidalClosed.curry_natural_left
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.MonoidalClosed.curry_natural_right /-
 @[reassoc]
 theorem curry_natural_right (f : A ⊗ X ⟶ Y) (g : Y ⟶ Y') :
     curry (f ≫ g) = curry f ≫ (ihom _).map g :=
   Adjunction.homEquiv_naturality_right _ _ _
 #align category_theory.monoidal_closed.curry_natural_right CategoryTheory.MonoidalClosed.curry_natural_right
+-/
 
+#print CategoryTheory.MonoidalClosed.uncurry_natural_right /-
 @[reassoc]
 theorem uncurry_natural_right (f : X ⟶ A ⟶[C] Y) (g : Y ⟶ Y') :
     uncurry (f ≫ (ihom _).map g) = uncurry f ≫ g :=
   Adjunction.homEquiv_naturality_right_symm _ _ _
 #align category_theory.monoidal_closed.uncurry_natural_right CategoryTheory.MonoidalClosed.uncurry_natural_right
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.MonoidalClosed.uncurry_natural_left /-
 @[reassoc]
 theorem uncurry_natural_left (f : X ⟶ X') (g : X' ⟶ A ⟶[C] Y) :
     uncurry (f ≫ g) = (𝟙 _ ⊗ f) ≫ uncurry g :=
   Adjunction.homEquiv_naturality_left_symm _ _ _
 #align category_theory.monoidal_closed.uncurry_natural_left CategoryTheory.MonoidalClosed.uncurry_natural_left
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 #print CategoryTheory.MonoidalClosed.uncurry_curry /-
@@ -239,52 +262,70 @@ theorem uncurry_curry (f : A ⊗ X ⟶ Y) : uncurry (curry f) = f :=
 #align category_theory.monoidal_closed.uncurry_curry CategoryTheory.MonoidalClosed.uncurry_curry
 -/
 
+#print CategoryTheory.MonoidalClosed.curry_uncurry /-
 @[simp]
 theorem curry_uncurry (f : X ⟶ A ⟶[C] Y) : curry (uncurry f) = f :=
   (Closed.isAdj.adj.homEquiv _ _).right_inv f
 #align category_theory.monoidal_closed.curry_uncurry CategoryTheory.MonoidalClosed.curry_uncurry
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.MonoidalClosed.curry_eq_iff /-
 theorem curry_eq_iff (f : A ⊗ Y ⟶ X) (g : Y ⟶ A ⟶[C] X) : curry f = g ↔ f = uncurry g :=
   Adjunction.homEquiv_apply_eq _ f g
 #align category_theory.monoidal_closed.curry_eq_iff CategoryTheory.MonoidalClosed.curry_eq_iff
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.MonoidalClosed.eq_curry_iff /-
 theorem eq_curry_iff (f : A ⊗ Y ⟶ X) (g : Y ⟶ A ⟶[C] X) : g = curry f ↔ uncurry g = f :=
   Adjunction.eq_homEquiv_apply _ f g
 #align category_theory.monoidal_closed.eq_curry_iff CategoryTheory.MonoidalClosed.eq_curry_iff
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.MonoidalClosed.uncurry_eq /-
 -- I don't think these two should be simp.
 theorem uncurry_eq (g : Y ⟶ A ⟶[C] X) : uncurry g = (𝟙 A ⊗ g) ≫ (ihom.ev A).app X :=
   Adjunction.homEquiv_counit _
 #align category_theory.monoidal_closed.uncurry_eq CategoryTheory.MonoidalClosed.uncurry_eq
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.MonoidalClosed.curry_eq /-
 theorem curry_eq (g : A ⊗ Y ⟶ X) : curry g = (ihom.coev A).app Y ≫ (ihom A).map g :=
   Adjunction.homEquiv_unit _
 #align category_theory.monoidal_closed.curry_eq CategoryTheory.MonoidalClosed.curry_eq
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.MonoidalClosed.curry_injective /-
 theorem curry_injective : Function.Injective (curry : (A ⊗ Y ⟶ X) → (Y ⟶ A ⟶[C] X)) :=
   (Closed.isAdj.adj.homEquiv _ _).Injective
 #align category_theory.monoidal_closed.curry_injective CategoryTheory.MonoidalClosed.curry_injective
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.MonoidalClosed.uncurry_injective /-
 theorem uncurry_injective : Function.Injective (uncurry : (Y ⟶ A ⟶[C] X) → (A ⊗ Y ⟶ X)) :=
   (Closed.isAdj.adj.homEquiv _ _).symm.Injective
 #align category_theory.monoidal_closed.uncurry_injective CategoryTheory.MonoidalClosed.uncurry_injective
+-/
 
 variable (A X)
 
+#print CategoryTheory.MonoidalClosed.uncurry_id_eq_ev /-
 theorem uncurry_id_eq_ev : uncurry (𝟙 (A ⟶[C] X)) = (ihom.ev A).app X := by
   rw [uncurry_eq, tensor_id, id_comp]
 #align category_theory.monoidal_closed.uncurry_id_eq_ev CategoryTheory.MonoidalClosed.uncurry_id_eq_ev
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.MonoidalClosed.curry_id_eq_coev /-
 theorem curry_id_eq_coev : curry (𝟙 _) = (ihom.coev A).app X := by
   rw [curry_eq, (ihom A).map_id (A ⊗ _)]; apply comp_id
 #align category_theory.monoidal_closed.curry_id_eq_coev CategoryTheory.MonoidalClosed.curry_id_eq_coev
+-/
 
 section Pre
 
@@ -299,26 +340,32 @@ def pre (f : B ⟶ A) : ihom A ⟶ ihom B :=
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.MonoidalClosed.id_tensor_pre_app_comp_ev /-
 @[simp, reassoc]
 theorem id_tensor_pre_app_comp_ev (f : B ⟶ A) (X : C) :
     (𝟙 B ⊗ (pre f).app X) ≫ (ihom.ev B).app X = (f ⊗ 𝟙 (A ⟶[C] X)) ≫ (ihom.ev A).app X :=
   transferNatTransSelf_counit _ _ ((tensoringLeft C).map f) X
 #align category_theory.monoidal_closed.id_tensor_pre_app_comp_ev CategoryTheory.MonoidalClosed.id_tensor_pre_app_comp_ev
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.MonoidalClosed.uncurry_pre /-
 @[simp]
 theorem uncurry_pre (f : B ⟶ A) (X : C) :
     MonoidalClosed.uncurry ((pre f).app X) = (f ⊗ 𝟙 _) ≫ (ihom.ev A).app X := by
   rw [uncurry_eq, id_tensor_pre_app_comp_ev]
 #align category_theory.monoidal_closed.uncurry_pre CategoryTheory.MonoidalClosed.uncurry_pre
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.MonoidalClosed.coev_app_comp_pre_app /-
 @[simp, reassoc]
 theorem coev_app_comp_pre_app (f : B ⟶ A) :
     (ihom.coev A).app X ≫ (pre f).app (A ⊗ X) = (ihom.coev B).app X ≫ (ihom B).map (f ⊗ 𝟙 _) :=
   unit_transferNatTransSelf _ _ ((tensoringLeft C).map f) X
 #align category_theory.monoidal_closed.coev_app_comp_pre_app CategoryTheory.MonoidalClosed.coev_app_comp_pre_app
+-/
 
 #print CategoryTheory.MonoidalClosed.pre_id /-
 @[simp]
@@ -335,9 +382,11 @@ theorem pre_map {A₁ A₂ A₃ : C} [Closed A₁] [Closed A₂] [Closed A₃] (
 #align category_theory.monoidal_closed.pre_map CategoryTheory.MonoidalClosed.pre_map
 -/
 
+#print CategoryTheory.MonoidalClosed.pre_comm_ihom_map /-
 theorem pre_comm_ihom_map {W X Y Z : C} [Closed W] [Closed X] (f : W ⟶ X) (g : Y ⟶ Z) :
     (pre f).app Y ≫ (ihom W).map g = (ihom X).map g ≫ (pre f).app Z := by simp
 #align category_theory.monoidal_closed.pre_comm_ihom_map CategoryTheory.MonoidalClosed.pre_comm_ihom_map
+-/
 
 end Pre
 
@@ -371,6 +420,7 @@ noncomputable def ofEquiv (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.MonoidalClosed.ofEquiv_curry_def /-
 /-- Suppose we have a monoidal equivalence `F : C ≌ D`, with `D` monoidal closed. We can pull the
 monoidal closed instance back along the equivalence. For `X, Y, Z : C`, this lemma describes the
 resulting currying map `Hom(X ⊗ Y, Z) → Hom(Y, (X ⟶[C] Z))`. (`X ⟶[C] Z` is defined to be
@@ -385,8 +435,10 @@ theorem ofEquiv_curry_def (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
             ((compInvIso (F.commTensorLeft X)).Hom.app Y ≫ f))) :=
   rfl
 #align category_theory.monoidal_closed.of_equiv_curry_def CategoryTheory.MonoidalClosed.ofEquiv_curry_def
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.MonoidalClosed.ofEquiv_uncurry_def /-
 /-- Suppose we have a monoidal equivalence `F : C ≌ D`, with `D` monoidal closed. We can pull the
 monoidal closed instance back along the equivalence. For `X, Y, Z : C`, this lemma describes the
 resulting uncurrying map `Hom(Y, (X ⟶[C] Z)) → Hom(X ⊗ Y ⟶ Z)`. (`X ⟶[C] Z` is
@@ -402,6 +454,7 @@ theorem ofEquiv_uncurry_def (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor
             ((F.1.1.Adjunction.homEquiv Y ((ihom (F.1.1.obj X)).obj (F.1.1.obj Z))).symm f)) :=
   rfl
 #align category_theory.monoidal_closed.of_equiv_uncurry_def CategoryTheory.MonoidalClosed.ofEquiv_uncurry_def
+-/
 
 end OfEquiv

0caf3701

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -138,12 +138,6 @@ theorem ihom_adjunction_unit : (ihom.adjunction A).Unit = coev A :=
 #align category_theory.ihom.ihom_adjunction_unit CategoryTheory.ihom.ihom_adjunction_unit
 -/
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.ihom.ev_naturality CategoryTheory.ihom.ev_naturalityₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 @[simp, reassoc]
 theorem ev_naturality {X Y : C} (f : X ⟶ Y) :
@@ -151,12 +145,6 @@ theorem ev_naturality {X Y : C} (f : X ⟶ Y) :
   (ev A).naturality f
 #align category_theory.ihom.ev_naturality CategoryTheory.ihom.ev_naturality
 
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 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 @[simp, reassoc]
 theorem coev_naturality {X Y : C} (f : X ⟶ Y) :
@@ -167,12 +155,6 @@ theorem coev_naturality {X Y : C} (f : X ⟶ Y) :
 -- mathport name: ihom
 notation A " ⟶[" C "] " B:10 => (@ihom C _ _ A _).obj B
 
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 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
@@ -181,9 +163,6 @@ theorem ev_coev : (𝟙 A ⊗ (coev A).app B) ≫ (ev A).app (A ⊗ B) = 𝟙 (A
   Adjunction.left_triangle_components (ihom.adjunction A)
 #align category_theory.ihom.ev_coev CategoryTheory.ihom.ev_coev
 
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 @[simp, reassoc]
 theorem coev_ev : (coev A).app (A ⟶[C] B) ≫ (ihom A).map ((ev A).app B) = 𝟙 (A ⟶[C] B) :=
   Adjunction.right_triangle_components (ihom.adjunction A)
@@ -201,54 +180,30 @@ variable {A}
 -- Wrap these in a namespace so we don't clash with the core versions.
 namespace MonoidalClosed
 
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 /-- Currying in a monoidal closed category. -/
 def curry : (A ⊗ Y ⟶ X) → (Y ⟶ A ⟶[C] X) :=
   (ihom.adjunction A).homEquiv _ _
 #align category_theory.monoidal_closed.curry CategoryTheory.MonoidalClosed.curry
 
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 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /-- Uncurrying in a monoidal closed category. -/
 def uncurry : (Y ⟶ A ⟶[C] X) → (A ⊗ Y ⟶ X) :=
   ((ihom.adjunction A).homEquiv _ _).symm
 #align category_theory.monoidal_closed.uncurry CategoryTheory.MonoidalClosed.uncurry
 
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 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 @[simp]
 theorem homEquiv_apply_eq (f : A ⊗ Y ⟶ X) : (ihom.adjunction A).homEquiv _ _ f = curry f :=
   rfl
 #align category_theory.monoidal_closed.hom_equiv_apply_eq CategoryTheory.MonoidalClosed.homEquiv_apply_eq
 
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 @[simp]
 theorem homEquiv_symm_apply_eq (f : Y ⟶ A ⟶[C] X) :
     ((ihom.adjunction A).homEquiv _ _).symm f = uncurry f :=
   rfl
 #align category_theory.monoidal_closed.hom_equiv_symm_apply_eq CategoryTheory.MonoidalClosed.homEquiv_symm_apply_eq
 
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 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 @[reassoc]
@@ -256,12 +211,6 @@ theorem curry_natural_left (f : X ⟶ X') (g : A ⊗ X' ⟶ Y) : curry ((𝟙 _
   Adjunction.homEquiv_naturality_left _ _ _
 #align category_theory.monoidal_closed.curry_natural_left CategoryTheory.MonoidalClosed.curry_natural_left
 
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 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 @[reassoc]
 theorem curry_natural_right (f : A ⊗ X ⟶ Y) (g : Y ⟶ Y') :
@@ -269,24 +218,12 @@ theorem curry_natural_right (f : A ⊗ X ⟶ Y) (g : Y ⟶ Y') :
   Adjunction.homEquiv_naturality_right _ _ _
 #align category_theory.monoidal_closed.curry_natural_right CategoryTheory.MonoidalClosed.curry_natural_right
 
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 @[reassoc]
 theorem uncurry_natural_right (f : X ⟶ A ⟶[C] Y) (g : Y ⟶ Y') :
     uncurry (f ≫ (ihom _).map g) = uncurry f ≫ g :=
   Adjunction.homEquiv_naturality_right_symm _ _ _
 #align category_theory.monoidal_closed.uncurry_natural_right CategoryTheory.MonoidalClosed.uncurry_natural_right
 
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 @[reassoc]
 theorem uncurry_natural_left (f : X ⟶ X') (g : X' ⟶ A ⟶[C] Y) :
@@ -302,79 +239,37 @@ theorem uncurry_curry (f : A ⊗ X ⟶ Y) : uncurry (curry f) = f :=
 #align category_theory.monoidal_closed.uncurry_curry CategoryTheory.MonoidalClosed.uncurry_curry
 -/
 
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 @[simp]
 theorem curry_uncurry (f : X ⟶ A ⟶[C] Y) : curry (uncurry f) = f :=
   (Closed.isAdj.adj.homEquiv _ _).right_inv f
 #align category_theory.monoidal_closed.curry_uncurry CategoryTheory.MonoidalClosed.curry_uncurry
 
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 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 theorem curry_eq_iff (f : A ⊗ Y ⟶ X) (g : Y ⟶ A ⟶[C] X) : curry f = g ↔ f = uncurry g :=
   Adjunction.homEquiv_apply_eq _ f g
 #align category_theory.monoidal_closed.curry_eq_iff CategoryTheory.MonoidalClosed.curry_eq_iff
 
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 theorem eq_curry_iff (f : A ⊗ Y ⟶ X) (g : Y ⟶ A ⟶[C] X) : g = curry f ↔ uncurry g = f :=
   Adjunction.eq_homEquiv_apply _ f g
 #align category_theory.monoidal_closed.eq_curry_iff CategoryTheory.MonoidalClosed.eq_curry_iff
 
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 -- I don't think these two should be simp.
 theorem uncurry_eq (g : Y ⟶ A ⟶[C] X) : uncurry g = (𝟙 A ⊗ g) ≫ (ihom.ev A).app X :=
   Adjunction.homEquiv_counit _
 #align category_theory.monoidal_closed.uncurry_eq CategoryTheory.MonoidalClosed.uncurry_eq
 
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 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 theorem curry_eq (g : A ⊗ Y ⟶ X) : curry g = (ihom.coev A).app Y ≫ (ihom A).map g :=
   Adjunction.homEquiv_unit _
 #align category_theory.monoidal_closed.curry_eq CategoryTheory.MonoidalClosed.curry_eq
 
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 theorem curry_injective : Function.Injective (curry : (A ⊗ Y ⟶ X) → (Y ⟶ A ⟶[C] X)) :=
   (Closed.isAdj.adj.homEquiv _ _).Injective
 #align category_theory.monoidal_closed.curry_injective CategoryTheory.MonoidalClosed.curry_injective
 
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 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 theorem uncurry_injective : Function.Injective (uncurry : (Y ⟶ A ⟶[C] X) → (A ⊗ Y ⟶ X)) :=
   (Closed.isAdj.adj.homEquiv _ _).symm.Injective
@@ -382,22 +277,10 @@ theorem uncurry_injective : Function.Injective (uncurry : (Y ⟶ A ⟶[C] X) →
 
 variable (A X)
 
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 theorem uncurry_id_eq_ev : uncurry (𝟙 (A ⟶[C] X)) = (ihom.ev A).app X := by
   rw [uncurry_eq, tensor_id, id_comp]
 #align category_theory.monoidal_closed.uncurry_id_eq_ev CategoryTheory.MonoidalClosed.uncurry_id_eq_ev
 
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 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 theorem curry_id_eq_coev : curry (𝟙 _) = (ihom.coev A).app X := by
   rw [curry_eq, (ihom A).map_id (A ⊗ _)]; apply comp_id
@@ -414,9 +297,6 @@ def pre (f : B ⟶ A) : ihom A ⟶ ihom B :=
 #align category_theory.monoidal_closed.pre CategoryTheory.MonoidalClosed.pre
 -/
 
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 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 @[simp, reassoc]
@@ -425,12 +305,6 @@ theorem id_tensor_pre_app_comp_ev (f : B ⟶ A) (X : C) :
   transferNatTransSelf_counit _ _ ((tensoringLeft C).map f) X
 #align category_theory.monoidal_closed.id_tensor_pre_app_comp_ev CategoryTheory.MonoidalClosed.id_tensor_pre_app_comp_ev
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.uncurry_pre CategoryTheory.MonoidalClosed.uncurry_preₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 @[simp]
 theorem uncurry_pre (f : B ⟶ A) (X : C) :
@@ -438,9 +312,6 @@ theorem uncurry_pre (f : B ⟶ A) (X : C) :
   rw [uncurry_eq, id_tensor_pre_app_comp_ev]
 #align category_theory.monoidal_closed.uncurry_pre CategoryTheory.MonoidalClosed.uncurry_pre
 
-/- warning: category_theory.monoidal_closed.coev_app_comp_pre_app -> CategoryTheory.MonoidalClosed.coev_app_comp_pre_app is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.coev_app_comp_pre_app CategoryTheory.MonoidalClosed.coev_app_comp_pre_appₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 @[simp, reassoc]
@@ -464,12 +335,6 @@ theorem pre_map {A₁ A₂ A₃ : C} [Closed A₁] [Closed A₂] [Closed A₃] (
 #align category_theory.monoidal_closed.pre_map CategoryTheory.MonoidalClosed.pre_map
 -/
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.pre_comm_ihom_map CategoryTheory.MonoidalClosed.pre_comm_ihom_mapₓ'. -/
 theorem pre_comm_ihom_map {W X Y Z : C} [Closed W] [Closed X] (f : W ⟶ X) (g : Y ⟶ Z) :
     (pre f).app Y ≫ (ihom W).map g = (ihom X).map g ≫ (pre f).app Z := by simp
 #align category_theory.monoidal_closed.pre_comm_ihom_map CategoryTheory.MonoidalClosed.pre_comm_ihom_map
@@ -504,9 +369,6 @@ noncomputable def ofEquiv (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
 #align category_theory.monoidal_closed.of_equiv CategoryTheory.MonoidalClosed.ofEquiv
 -/
 
-/- warning: category_theory.monoidal_closed.of_equiv_curry_def -> CategoryTheory.MonoidalClosed.ofEquiv_curry_def is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.of_equiv_curry_def CategoryTheory.MonoidalClosed.ofEquiv_curry_defₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /-- Suppose we have a monoidal equivalence `F : C ≌ D`, with `D` monoidal closed. We can pull the
@@ -524,9 +386,6 @@ theorem ofEquiv_curry_def (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
   rfl
 #align category_theory.monoidal_closed.of_equiv_curry_def CategoryTheory.MonoidalClosed.ofEquiv_curry_def
 
-/- warning: category_theory.monoidal_closed.of_equiv_uncurry_def -> CategoryTheory.MonoidalClosed.ofEquiv_uncurry_def is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.of_equiv_uncurry_def CategoryTheory.MonoidalClosed.ofEquiv_uncurry_defₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /-- Suppose we have a monoidal equivalence `F : C ≌ D`, with `D` monoidal closed. We can pull the
 monoidal closed instance back along the equivalence. For `X, Y, Z : C`, this lemma describes the

0caf3701

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -84,9 +84,7 @@ def unitClosed : Closed (𝟙_ C)
                 invFun := fun a => (leftUnitor X).Hom ≫ a
                 left_inv := by tidy
                 right_inv := by tidy }
-            homEquiv_naturality_left_symm := fun X' X Y f g =>
-              by
-              dsimp
+            homEquiv_naturality_left_symm := fun X' X Y f g => by dsimp;
               rw [left_unitor_naturality_assoc] } }
 #align category_theory.unit_closed CategoryTheory.unitClosed
 -/
@@ -401,10 +399,8 @@ but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u2} C _inst_1] (A : C) (X : C) [_inst_3 : CategoryTheory.Closed.{u1, u2} C _inst_1 _inst_2 A], Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1)) X) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1)) X)))) (CategoryTheory.MonoidalClosed.curry.{u1, u2} C _inst_1 _inst_2 A (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1)) X)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1)) X) _inst_3 (CategoryTheory.CategoryStruct.id.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1)) X)))) (CategoryTheory.NatTrans.app.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1) (CategoryTheory.Functor.comp.{u1, u1, u1, u2, u2, u2} C _inst_1 C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A) (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) (CategoryTheory.ihom.coev.{u1, u2} C _inst_1 _inst_2 A _inst_3) X)
 Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.curry_id_eq_coev CategoryTheory.MonoidalClosed.curry_id_eq_coevₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
-theorem curry_id_eq_coev : curry (𝟙 _) = (ihom.coev A).app X :=
-  by
-  rw [curry_eq, (ihom A).map_id (A ⊗ _)]
-  apply comp_id
+theorem curry_id_eq_coev : curry (𝟙 _) = (ihom.coev A).app X := by
+  rw [curry_eq, (ihom A).map_id (A ⊗ _)]; apply comp_id
 #align category_theory.monoidal_closed.curry_id_eq_coev CategoryTheory.MonoidalClosed.curry_id_eq_coev
 
 section Pre
@@ -455,10 +451,7 @@ theorem coev_app_comp_pre_app (f : B ⟶ A) :
 
 #print CategoryTheory.MonoidalClosed.pre_id /-
 @[simp]
-theorem pre_id (A : C) [Closed A] : pre (𝟙 A) = 𝟙 _ :=
-  by
-  simp only [pre, Functor.map_id]
-  dsimp
+theorem pre_id (A : C) [Closed A] : pre (𝟙 A) = 𝟙 _ := by simp only [pre, Functor.map_id]; dsimp;
   simp
 #align category_theory.monoidal_closed.pre_id CategoryTheory.MonoidalClosed.pre_id
 -/

0caf3701

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -184,10 +184,7 @@ theorem ev_coev : (𝟙 A ⊗ (coev A).app B) ≫ (ev A).app (A ⊗ B) = 𝟙 (A
 #align category_theory.ihom.ev_coev CategoryTheory.ihom.ev_coev
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.ihom.coev_ev CategoryTheory.ihom.coev_evₓ'. -/
 @[simp, reassoc]
 theorem coev_ev : (coev A).app (A ⟶[C] B) ≫ (ihom A).map ((ev A).app B) = 𝟙 (A ⟶[C] B) :=
@@ -231,10 +228,7 @@ def uncurry : (Y ⟶ A ⟶[C] X) → (A ⊗ Y ⟶ X) :=
 #align category_theory.monoidal_closed.uncurry CategoryTheory.MonoidalClosed.uncurry
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.hom_equiv_apply_eq CategoryTheory.MonoidalClosed.homEquiv_apply_eqₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 @[simp]
@@ -243,10 +237,7 @@ theorem homEquiv_apply_eq (f : A ⊗ Y ⟶ X) : (ihom.adjunction A).homEquiv _ _
 #align category_theory.monoidal_closed.hom_equiv_apply_eq CategoryTheory.MonoidalClosed.homEquiv_apply_eq
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.hom_equiv_symm_apply_eq CategoryTheory.MonoidalClosed.homEquiv_symm_apply_eqₓ'. -/
 @[simp]
 theorem homEquiv_symm_apply_eq (f : Y ⟶ A ⟶[C] X) :
@@ -428,10 +419,7 @@ def pre (f : B ⟶ A) : ihom A ⟶ ihom B :=
 -/
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.id_tensor_pre_app_comp_ev CategoryTheory.MonoidalClosed.id_tensor_pre_app_comp_evₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
@@ -455,10 +443,7 @@ theorem uncurry_pre (f : B ⟶ A) (X : C) :
 #align category_theory.monoidal_closed.uncurry_pre CategoryTheory.MonoidalClosed.uncurry_pre
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.coev_app_comp_pre_app CategoryTheory.MonoidalClosed.coev_app_comp_pre_appₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
@@ -527,10 +512,7 @@ noncomputable def ofEquiv (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
 -/
 
 /- warning: category_theory.monoidal_closed.of_equiv_curry_def -> CategoryTheory.MonoidalClosed.ofEquiv_curry_def is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.of_equiv_curry_def CategoryTheory.MonoidalClosed.ofEquiv_curry_defₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
@@ -550,10 +532,7 @@ theorem ofEquiv_curry_def (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
 #align category_theory.monoidal_closed.of_equiv_curry_def CategoryTheory.MonoidalClosed.ofEquiv_curry_def
 
 /- warning: category_theory.monoidal_closed.of_equiv_uncurry_def -> CategoryTheory.MonoidalClosed.ofEquiv_uncurry_def is a dubious translation:
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(CategoryTheory.Category.toCategoryStruct.{u4, u3} D _inst_4)) (CategoryTheory.Functor.toPrefunctor.{u1, u4, u2, u3} C _inst_1 D _inst_4 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 (CategoryTheory.MonoidalFunctor.toLaxMonoidalFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 F))) Y) (Prefunctor.obj.{succ u4, succ u4, u3, u3} D (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} D (CategoryTheory.Category.toCategoryStruct.{u4, u3} D _inst_4)) D (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} D (CategoryTheory.Category.toCategoryStruct.{u4, u3} D _inst_4)) (CategoryTheory.Functor.toPrefunctor.{u4, u4, u3, u3} D _inst_4 D _inst_4 (CategoryTheory.ihom.{u4, u3} D _inst_4 _inst_5 (Prefunctor.obj.{succ u1, succ u4, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} D (CategoryTheory.Category.toCategoryStruct.{u4, u3} D _inst_4)) (CategoryTheory.Functor.toPrefunctor.{u1, u4, u2, u3} C _inst_1 D _inst_4 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 (CategoryTheory.MonoidalFunctor.toLaxMonoidalFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 F))) X) (CategoryTheory.MonoidalClosed.closed.{u4, u3} D _inst_4 _inst_5 h (Prefunctor.obj.{succ u1, succ u4, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} D (CategoryTheory.Category.toCategoryStruct.{u4, u3} D _inst_4)) (CategoryTheory.Functor.toPrefunctor.{u1, u4, u2, u3} C _inst_1 D _inst_4 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 (CategoryTheory.MonoidalFunctor.toLaxMonoidalFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 F))) X)))) (Prefunctor.obj.{succ u1, succ u4, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} D (CategoryTheory.Category.toCategoryStruct.{u4, u3} D _inst_4)) (CategoryTheory.Functor.toPrefunctor.{u1, u4, u2, u3} C _inst_1 D _inst_4 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 (CategoryTheory.MonoidalFunctor.toLaxMonoidalFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 F))) Z))) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y (Prefunctor.obj.{succ u4, succ u1, u3, u2} D (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} D (CategoryTheory.Category.toCategoryStruct.{u4, u3} D _inst_4)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u4, u1, u3, u2} D _inst_4 C _inst_1 (CategoryTheory.Functor.inv.{u1, u4, u2, u3} C _inst_1 D _inst_4 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 (CategoryTheory.MonoidalFunctor.toLaxMonoidalFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 F)) _inst_6)) (Prefunctor.obj.{succ u4, succ u4, u3, u3} D (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} D (CategoryTheory.Category.toCategoryStruct.{u4, u3} D _inst_4)) D (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} D (CategoryTheory.Category.toCategoryStruct.{u4, u3} D _inst_4)) (CategoryTheory.Functor.toPrefunctor.{u4, u4, u3, u3} D _inst_4 D _inst_4 (CategoryTheory.ihom.{u4, u3} D _inst_4 _inst_5 (Prefunctor.obj.{succ u1, succ u4, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} D (CategoryTheory.Category.toCategoryStruct.{u4, u3} D _inst_4)) (CategoryTheory.Functor.toPrefunctor.{u1, u4, u2, u3} C _inst_1 D _inst_4 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 (CategoryTheory.MonoidalFunctor.toLaxMonoidalFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 F))) X) (CategoryTheory.MonoidalClosed.closed.{u4, u3} D _inst_4 _inst_5 h (Prefunctor.obj.{succ u1, succ u4, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} D (CategoryTheory.Category.toCategoryStruct.{u4, u3} D _inst_4)) (CategoryTheory.Functor.toPrefunctor.{u1, u4, u2, u3} C _inst_1 D _inst_4 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 (CategoryTheory.MonoidalFunctor.toLaxMonoidalFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 F))) X)))) (Prefunctor.obj.{succ u1, succ u4, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} D (CategoryTheory.Category.toCategoryStruct.{u4, u3} D _inst_4)) (CategoryTheory.Functor.toPrefunctor.{u1, u4, u2, u3} C _inst_1 D _inst_4 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 (CategoryTheory.MonoidalFunctor.toLaxMonoidalFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 F))) Z)))) (CategoryTheory.Adjunction.homEquiv.{u1, u4, u2, u3} C _inst_1 D _inst_4 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 (CategoryTheory.MonoidalFunctor.toLaxMonoidalFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 F)) (CategoryTheory.Functor.inv.{u1, u4, u2, u3} C _inst_1 D _inst_4 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 (CategoryTheory.MonoidalFunctor.toLaxMonoidalFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 F)) _inst_6) (CategoryTheory.Functor.adjunction.{u1, u4, u2, u3} C _inst_1 D _inst_4 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 (CategoryTheory.MonoidalFunctor.toLaxMonoidalFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 F)) _inst_6) Y (Prefunctor.obj.{succ u4, succ u4, u3, u3} D (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} D (CategoryTheory.Category.toCategoryStruct.{u4, u3} D _inst_4)) D (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} D (CategoryTheory.Category.toCategoryStruct.{u4, u3} D _inst_4)) (CategoryTheory.Functor.toPrefunctor.{u4, u4, u3, u3} D _inst_4 D _inst_4 (CategoryTheory.ihom.{u4, u3} D _inst_4 _inst_5 (Prefunctor.obj.{succ u1, succ u4, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} D (CategoryTheory.Category.toCategoryStruct.{u4, u3} D _inst_4)) (CategoryTheory.Functor.toPrefunctor.{u1, u4, u2, u3} C _inst_1 D _inst_4 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 (CategoryTheory.MonoidalFunctor.toLaxMonoidalFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 F))) X) (CategoryTheory.MonoidalClosed.closed.{u4, u3} D _inst_4 _inst_5 h (Prefunctor.obj.{succ u1, succ u4, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} D (CategoryTheory.Category.toCategoryStruct.{u4, u3} D _inst_4)) (CategoryTheory.Functor.toPrefunctor.{u1, u4, u2, u3} C _inst_1 D _inst_4 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 (CategoryTheory.MonoidalFunctor.toLaxMonoidalFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 F))) X)))) (Prefunctor.obj.{succ u1, succ u4, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} D (CategoryTheory.Category.toCategoryStruct.{u4, u3} D _inst_4)) (CategoryTheory.Functor.toPrefunctor.{u1, u4, u2, u3} C _inst_1 D _inst_4 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 (CategoryTheory.MonoidalFunctor.toLaxMonoidalFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 F))) Z)))) f))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.of_equiv_uncurry_def CategoryTheory.MonoidalClosed.ofEquiv_uncurry_defₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /-- Suppose we have a monoidal equivalence `F : C ≌ D`, with `D` monoidal closed. We can pull the

0caf3701

bump to nightly-2023-05-23-03

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

ed98987c

Diff

@@ -147,7 +147,7 @@ but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u2} C _inst_1] (A : C) [_inst_3 : CategoryTheory.Closed.{u1, u2} C _inst_1 _inst_2 A] {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) X)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1)) Y)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) X)) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) Y)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1)) Y) (CategoryTheory.MonoidalCategory.tensorHom.{u1, u2} C _inst_1 _inst_2 A A (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) X) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) Y) (CategoryTheory.CategoryStruct.id.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A) (Prefunctor.map.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) X Y f)) (CategoryTheory.NatTrans.app.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.comp.{u1, u1, u1, u2, u2, u2} C _inst_1 C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A)) (CategoryTheory.Functor.id.{u1, u2} C _inst_1) (CategoryTheory.ihom.ev.{u1, u2} C _inst_1 _inst_2 A _inst_3) Y)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.comp.{u1, u1, u1, u2, u2, u2} C _inst_1 C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A))) X) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1)) X) Y (CategoryTheory.NatTrans.app.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.comp.{u1, u1, u1, u2, u2, u2} C _inst_1 C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A)) (CategoryTheory.Functor.id.{u1, u2} C _inst_1) (CategoryTheory.ihom.ev.{u1, u2} C _inst_1 _inst_2 A _inst_3) X) f)
 Case conversion may be inaccurate. Consider using '#align category_theory.ihom.ev_naturality CategoryTheory.ihom.ev_naturalityₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem ev_naturality {X Y : C} (f : X ⟶ Y) :
     (𝟙 A ⊗ (ihom A).map f) ≫ (ev A).app Y = (ev A).app X ≫ f :=
   (ev A).naturality f
@@ -160,7 +160,7 @@ but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u2} C _inst_1] (A : C) [_inst_3 : CategoryTheory.Closed.{u1, u2} C _inst_1 _inst_2 A] {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.comp.{u1, u1, u1, u2, u2, u2} C _inst_1 C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A) (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3))) Y)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.comp.{u1, u1, u1, u2, u2, u2} C _inst_1 C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A) (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3))) Y) f (CategoryTheory.NatTrans.app.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1) (CategoryTheory.Functor.comp.{u1, u1, u1, u2, u2, u2} C _inst_1 C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A) (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) (CategoryTheory.ihom.coev.{u1, u2} C _inst_1 _inst_2 A _inst_3) Y)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1)) X) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.comp.{u1, u1, u1, u2, u2, u2} C _inst_1 C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A) (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3))) X) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A Y)) (CategoryTheory.NatTrans.app.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1) (CategoryTheory.Functor.comp.{u1, u1, u1, u2, u2, u2} C _inst_1 C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A) (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) (CategoryTheory.ihom.coev.{u1, u2} C _inst_1 _inst_2 A _inst_3) X) (Prefunctor.map.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A)) X) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A Y) (CategoryTheory.MonoidalCategory.tensorHom.{u1, u2} C _inst_1 _inst_2 A A X Y (CategoryTheory.CategoryStruct.id.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A) f)))
 Case conversion may be inaccurate. Consider using '#align category_theory.ihom.coev_naturality CategoryTheory.ihom.coev_naturalityₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem coev_naturality {X Y : C} (f : X ⟶ Y) :
     f ≫ (coev A).app Y = (coev A).app X ≫ (ihom A).map (𝟙 A ⊗ f) :=
   (coev A).naturality f
@@ -178,7 +178,7 @@ Case conversion may be inaccurate. Consider using '#align category_theory.ihom.e
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem ev_coev : (𝟙 A ⊗ (coev A).app B) ≫ (ev A).app (A ⊗ B) = 𝟙 (A ⊗ B) :=
   Adjunction.left_triangle_components (ihom.adjunction A)
 #align category_theory.ihom.ev_coev CategoryTheory.ihom.ev_coev
@@ -189,7 +189,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u2} C _inst_1] (A : C) (B : C) [_inst_3 : CategoryTheory.Closed.{u1, u2} C _inst_1 _inst_2 A], Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) B)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1)) B))) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) B)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.comp.{u1, u1, u1, u2, u2, u2} C _inst_1 C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A) (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3))) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) B)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1)) B)) (CategoryTheory.NatTrans.app.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1) (CategoryTheory.Functor.comp.{u1, u1, u1, u2, u2, u2} C _inst_1 C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A) (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) (CategoryTheory.ihom.coev.{u1, u2} C _inst_1 _inst_2 A _inst_3) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) B)) (Prefunctor.map.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) B)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1)) B) (CategoryTheory.NatTrans.app.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.comp.{u1, u1, u1, u2, u2, u2} C _inst_1 C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A)) (CategoryTheory.Functor.id.{u1, u2} C _inst_1) (CategoryTheory.ihom.ev.{u1, u2} C _inst_1 _inst_2 A _inst_3) B))) (CategoryTheory.CategoryStruct.id.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) B))
 Case conversion may be inaccurate. Consider using '#align category_theory.ihom.coev_ev CategoryTheory.ihom.coev_evₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem coev_ev : (coev A).app (A ⟶[C] B) ≫ (ihom A).map ((ev A).app B) = 𝟙 (A ⟶[C] B) :=
   Adjunction.right_triangle_components (ihom.adjunction A)
 #align category_theory.ihom.coev_ev CategoryTheory.ihom.coev_ev
@@ -262,7 +262,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.curry_natural_left CategoryTheory.MonoidalClosed.curry_natural_leftₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
-@[reassoc.1]
+@[reassoc]
 theorem curry_natural_left (f : X ⟶ X') (g : A ⊗ X' ⟶ Y) : curry ((𝟙 _ ⊗ f) ≫ g) = f ≫ curry g :=
   Adjunction.homEquiv_naturality_left _ _ _
 #align category_theory.monoidal_closed.curry_natural_left CategoryTheory.MonoidalClosed.curry_natural_left
@@ -274,7 +274,7 @@ but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u2} C _inst_1] {A : C} {X : C} {Y : C} {Y' : C} [_inst_3 : CategoryTheory.Closed.{u1, u2} C _inst_1 _inst_2 A] (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A X) Y) (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Y'), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) Y')) (CategoryTheory.MonoidalClosed.curry.{u1, u2} C _inst_1 _inst_2 A Y' X _inst_3 (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A X) Y Y' f g)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) Y) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) Y') (CategoryTheory.MonoidalClosed.curry.{u1, u2} C _inst_1 _inst_2 A Y X _inst_3 f) (Prefunctor.map.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) Y Y' g))
 Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.curry_natural_right CategoryTheory.MonoidalClosed.curry_natural_rightₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
-@[reassoc.1]
+@[reassoc]
 theorem curry_natural_right (f : A ⊗ X ⟶ Y) (g : Y ⟶ Y') :
     curry (f ≫ g) = curry f ≫ (ihom _).map g :=
   Adjunction.homEquiv_naturality_right _ _ _
@@ -286,7 +286,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u2} C _inst_1] {A : C} {X : C} {Y : C} {Y' : C} [_inst_3 : CategoryTheory.Closed.{u1, u2} C _inst_1 _inst_2 A] (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) Y)) (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Y'), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A X) Y') (CategoryTheory.MonoidalClosed.uncurry.{u1, u2} C _inst_1 _inst_2 A Y' X _inst_3 (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) Y) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) Y') f (Prefunctor.map.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) Y Y' g))) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A X) Y Y' (CategoryTheory.MonoidalClosed.uncurry.{u1, u2} C _inst_1 _inst_2 A Y X _inst_3 f) g)
 Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.uncurry_natural_right CategoryTheory.MonoidalClosed.uncurry_natural_rightₓ'. -/
-@[reassoc.1]
+@[reassoc]
 theorem uncurry_natural_right (f : X ⟶ A ⟶[C] Y) (g : Y ⟶ Y') :
     uncurry (f ≫ (ihom _).map g) = uncurry f ≫ g :=
   Adjunction.homEquiv_naturality_right_symm _ _ _
@@ -299,7 +299,7 @@ but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u2} C _inst_1] {A : C} {X : C} {X' : C} {Y : C} [_inst_3 : CategoryTheory.Closed.{u1, u2} C _inst_1 _inst_2 A] (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X X') (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X' (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) Y)), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A X) Y) (CategoryTheory.MonoidalClosed.uncurry.{u1, u2} C _inst_1 _inst_2 A Y X _inst_3 (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X X' (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) Y) f g)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A X) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A X') Y (CategoryTheory.MonoidalCategory.tensorHom.{u1, u2} C _inst_1 _inst_2 A A X X' (CategoryTheory.CategoryStruct.id.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A) f) (CategoryTheory.MonoidalClosed.uncurry.{u1, u2} C _inst_1 _inst_2 A Y X' _inst_3 g))
 Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.uncurry_natural_left CategoryTheory.MonoidalClosed.uncurry_natural_leftₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
-@[reassoc.1]
+@[reassoc]
 theorem uncurry_natural_left (f : X ⟶ X') (g : X' ⟶ A ⟶[C] Y) :
     uncurry (f ≫ g) = (𝟙 _ ⊗ f) ≫ uncurry g :=
   Adjunction.homEquiv_naturality_left_symm _ _ _
@@ -435,7 +435,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.id_tensor_pre_app_comp_ev CategoryTheory.MonoidalClosed.id_tensor_pre_app_comp_evₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem id_tensor_pre_app_comp_ev (f : B ⟶ A) (X : C) :
     (𝟙 B ⊗ (pre f).app X) ≫ (ihom.ev B).app X = (f ⊗ 𝟙 (A ⟶[C] X)) ≫ (ihom.ev A).app X :=
   transferNatTransSelf_counit _ _ ((tensoringLeft C).map f) X
@@ -462,7 +462,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.coev_app_comp_pre_app CategoryTheory.MonoidalClosed.coev_app_comp_pre_appₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem coev_app_comp_pre_app (f : B ⟶ A) :
     (ihom.coev A).app X ≫ (pre f).app (A ⊗ X) = (ihom.coev B).app X ≫ (ihom B).map (f ⊗ 𝟙 _) :=
   unit_transferNatTransSelf _ _ ((tensoringLeft C).map f) X

0caf3701

bump to nightly-2023-05-19-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/95a87616d63b3cb49d3fe678d416fbe9c4217bf4

a31df521

Diff

@@ -234,7 +234,7 @@ def uncurry : (Y ⟶ A ⟶[C] X) → (A ⊗ Y ⟶ X) :=
 lean 3 declaration is
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u2} C _inst_1] {A : C} {X : C} {Y : C} [_inst_3 : CategoryTheory.Closed.{u1, u2} C _inst_1 _inst_2 A] (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A Y) X), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) X)) (coeFn.{succ u1, succ u1} (Equiv.{succ u1, succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A) Y) X) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) X))) (fun (_x : Equiv.{succ u1, succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A) Y) X) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) X))) => (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A) Y) X) -> (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) X))) (Equiv.hasCoeToFun.{succ u1, succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A) Y) X) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) X))) (CategoryTheory.Adjunction.homEquiv.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A) (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) (CategoryTheory.ihom.adjunction.{u1, u2} C _inst_1 _inst_2 A _inst_3) Y X) f) (CategoryTheory.MonoidalClosed.curry.{u1, u2} C _inst_1 _inst_2 A X Y _inst_3 f)
 but is expected to have type
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u2} C _inst_1] {A : C} {X : C} {Y : C} [_inst_3 : CategoryTheory.Closed.{u1, u2} C _inst_1 _inst_2 A] (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A Y) X), Eq.{succ u1} ((fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A)) Y) X) => Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) X)) f) (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A)) Y) X) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) X))) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) 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(CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) X)) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A)) Y) X) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) X))) (CategoryTheory.Adjunction.homEquiv.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A) (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) (CategoryTheory.ihom.adjunction.{u1, u2} C _inst_1 _inst_2 A _inst_3) Y X) f) (CategoryTheory.MonoidalClosed.curry.{u1, u2} C _inst_1 _inst_2 A X Y _inst_3 f)
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u2} C _inst_1] {A : C} {X : C} {Y : C} [_inst_3 : CategoryTheory.Closed.{u1, u2} C _inst_1 _inst_2 A] (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A Y) X), Eq.{succ u1} ((fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A)) Y) X) => Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) X)) f) (FunLike.coe.{succ u1, succ u1, succ u1} (Equiv.{succ u1, succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A)) Y) X) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) X))) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A)) Y) X) (fun (_x : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A)) Y) X) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A)) Y) X) => Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) X)) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A)) Y) X) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) X))) (CategoryTheory.Adjunction.homEquiv.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A) (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) (CategoryTheory.ihom.adjunction.{u1, u2} C _inst_1 _inst_2 A _inst_3) Y X) f) (CategoryTheory.MonoidalClosed.curry.{u1, u2} C _inst_1 _inst_2 A X Y _inst_3 f)
 Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.hom_equiv_apply_eq CategoryTheory.MonoidalClosed.homEquiv_apply_eqₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 @[simp]
@@ -246,7 +246,7 @@ theorem homEquiv_apply_eq (f : A ⊗ Y ⟶ X) : (ihom.adjunction A).homEquiv _ _
 lean 3 declaration is
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 but is expected to have type
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(CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A)) Y) X) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) X)) (CategoryTheory.Adjunction.homEquiv.{u1, u1, u2, u2} C _inst_1 C _inst_1 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 Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.hom_equiv_symm_apply_eq CategoryTheory.MonoidalClosed.homEquiv_symm_apply_eqₓ'. -/
 @[simp]
 theorem homEquiv_symm_apply_eq (f : Y ⟶ A ⟶[C] X) :
@@ -530,7 +530,7 @@ noncomputable def ofEquiv (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
 lean 3 declaration is
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F)) _inst_6 (CategoryTheory.MonoidalFunctor.commTensorLeft.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 F X))) Y) f))))
 but is expected to have type
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_inst_1 _inst_2 D _inst_4 _inst_5 F)) _inst_6)) (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 X) (CategoryTheory.compInvIso.{u2, u2, u3, u1, u1, u4} C _inst_1 C _inst_1 D _inst_4 (CategoryTheory.Functor.comp.{u1, u4, u4, u2, u3, u3} C _inst_1 D _inst_4 D _inst_4 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 (CategoryTheory.MonoidalFunctor.toLaxMonoidalFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 F)) (CategoryTheory.MonoidalCategory.tensorLeft.{u4, u3} D _inst_4 _inst_5 (Prefunctor.obj.{succ u1, succ u4, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} D (CategoryTheory.Category.toCategoryStruct.{u4, u3} D _inst_4)) (CategoryTheory.Functor.toPrefunctor.{u1, u4, u2, u3} C _inst_1 D _inst_4 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 (CategoryTheory.MonoidalFunctor.toLaxMonoidalFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 F))) X))) (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 X) (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 (CategoryTheory.MonoidalFunctor.toLaxMonoidalFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 F)) _inst_6 (CategoryTheory.MonoidalFunctor.commTensorLeft.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 F X))) Y) f))))
 Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.of_equiv_curry_def CategoryTheory.MonoidalClosed.ofEquiv_curry_defₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
@@ -553,7 +553,7 @@ theorem ofEquiv_curry_def (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
 lean 3 declaration is
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 but is expected to have type
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+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u2} C _inst_1] {D : Type.{u3}} [_inst_4 : CategoryTheory.Category.{u4, u3} D] [_inst_5 : CategoryTheory.MonoidalCategory.{u4, u3} D _inst_4] (F : CategoryTheory.MonoidalFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5) [_inst_6 : CategoryTheory.IsEquivalence.{u1, u4, u2, u3} C _inst_1 D _inst_4 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 (CategoryTheory.MonoidalFunctor.toLaxMonoidalFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 F))] [h : CategoryTheory.MonoidalClosed.{u4, u3} D _inst_4 _inst_5] {X : C} {Y : C} {Z : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C 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 Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.of_equiv_uncurry_def CategoryTheory.MonoidalClosed.ofEquiv_uncurry_defₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /-- Suppose we have a monoidal equivalence `F : C ≌ D`, with `D` monoidal closed. We can pull the

0caf3701

bump to nightly-2023-04-24-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/09079525fd01b3dda35e96adaa08d2f943e1648c

ff662d55

Diff

@@ -51,7 +51,7 @@ class MonoidalClosed (C : Type u) [Category.{v} C] [MonoidalCategory.{v} C] wher
 #align category_theory.monoidal_closed CategoryTheory.MonoidalClosed
 -/
 
-attribute [instance] monoidal_closed.closed'
+attribute [instance 100] monoidal_closed.closed'
 
 variable {C : Type u} [Category.{v} C] [MonoidalCategory.{v} C]

0caf3701

bump to nightly-2023-03-27-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce86f4e05e9a9b8da5e316b22c76ce76440c56a1

0e4ebd8c

Diff

@@ -526,6 +526,12 @@ noncomputable def ofEquiv (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
 #align category_theory.monoidal_closed.of_equiv CategoryTheory.MonoidalClosed.ofEquiv
 -/
 
+/- warning: category_theory.monoidal_closed.of_equiv_curry_def -> CategoryTheory.MonoidalClosed.ofEquiv_curry_def is a dubious translation:
+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.monoidal_closed.of_equiv_curry_def CategoryTheory.MonoidalClosed.ofEquiv_curry_defₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /-- Suppose we have a monoidal equivalence `F : C ≌ D`, with `D` monoidal closed. We can pull the
@@ -543,6 +549,12 @@ theorem ofEquiv_curry_def (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
   rfl
 #align category_theory.monoidal_closed.of_equiv_curry_def CategoryTheory.MonoidalClosed.ofEquiv_curry_def
 
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+but is expected to have type
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_inst_2 D _inst_4 _inst_5 F))) X)))) (Prefunctor.obj.{succ u1, succ u4, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} D (CategoryTheory.Category.toCategoryStruct.{u4, u3} D _inst_4)) (CategoryTheory.Functor.toPrefunctor.{u1, u4, u2, u3} C _inst_1 D _inst_4 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 (CategoryTheory.MonoidalFunctor.toLaxMonoidalFunctor.{u1, u4, u2, u3} C _inst_1 _inst_2 D _inst_4 _inst_5 F))) Z)))) f))))
+Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.of_equiv_uncurry_def CategoryTheory.MonoidalClosed.ofEquiv_uncurry_defₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /-- Suppose we have a monoidal equivalence `F : C ≌ D`, with `D` monoidal closed. We can pull the
 monoidal closed instance back along the equivalence. For `X, Y, Z : C`, this lemma describes the

0caf3701

bump to nightly-2023-03-25-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/d11893b411025250c8e61ff2f12ccbd7ee35ab15

9ce440f0

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison, Bhavik Mehta
 
 ! This file was ported from Lean 3 source module category_theory.closed.monoidal
-! leanprover-community/mathlib commit c085f3044fe585c575e322bfab45b3633c48d820
+! leanprover-community/mathlib commit 0caf3701139ef2e69c215717665361cda205a90b
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -526,6 +526,40 @@ noncomputable def ofEquiv (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
 #align category_theory.monoidal_closed.of_equiv CategoryTheory.MonoidalClosed.ofEquiv
 -/
 
+/- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+/-- Suppose we have a monoidal equivalence `F : C ≌ D`, with `D` monoidal closed. We can pull the
+monoidal closed instance back along the equivalence. For `X, Y, Z : C`, this lemma describes the
+resulting currying map `Hom(X ⊗ Y, Z) → Hom(Y, (X ⟶[C] Z))`. (`X ⟶[C] Z` is defined to be
+`F⁻¹(F(X) ⟶[D] F(Z))`, so currying in `C` is given by essentially conjugating currying in
+`D` by `F.`) -/
+theorem ofEquiv_curry_def (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
+    [h : MonoidalClosed D] {X Y Z : C} (f : X ⊗ Y ⟶ Z) :
+    @MonoidalClosed.curry _ _ _ _ _ _ ((MonoidalClosed.ofEquiv F).1 _) f =
+      (F.1.1.Adjunction.homEquiv Y ((ihom _).obj _))
+        (MonoidalClosed.curry
+          (F.1.1.inv.Adjunction.homEquiv (F.1.1.obj X ⊗ F.1.1.obj Y) Z
+            ((compInvIso (F.commTensorLeft X)).Hom.app Y ≫ f))) :=
+  rfl
+#align category_theory.monoidal_closed.of_equiv_curry_def CategoryTheory.MonoidalClosed.ofEquiv_curry_def
+
+/- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+/-- Suppose we have a monoidal equivalence `F : C ≌ D`, with `D` monoidal closed. We can pull the
+monoidal closed instance back along the equivalence. For `X, Y, Z : C`, this lemma describes the
+resulting uncurrying map `Hom(Y, (X ⟶[C] Z)) → Hom(X ⊗ Y ⟶ Z)`. (`X ⟶[C] Z` is
+defined to be `F⁻¹(F(X) ⟶[D] F(Z))`, so uncurrying in `C` is given by essentially conjugating
+uncurrying in `D` by `F.`) -/
+theorem ofEquiv_uncurry_def (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
+    [h : MonoidalClosed D] {X Y Z : C}
+    (f : Y ⟶ (@ihom _ _ _ X <| (MonoidalClosed.ofEquiv F).1 X).obj Z) :
+    @MonoidalClosed.uncurry _ _ _ _ _ _ ((MonoidalClosed.ofEquiv F).1 _) f =
+      (compInvIso (F.commTensorLeft X)).inv.app Y ≫
+        (F.1.1.inv.Adjunction.homEquiv (F.1.1.obj X ⊗ F.1.1.obj Y) Z).symm
+          (MonoidalClosed.uncurry
+            ((F.1.1.Adjunction.homEquiv Y ((ihom (F.1.1.obj X)).obj (F.1.1.obj Z))).symm f)) :=
+  rfl
+#align category_theory.monoidal_closed.of_equiv_uncurry_def CategoryTheory.MonoidalClosed.ofEquiv_uncurry_def
+
 end OfEquiv
 
 end MonoidalClosed

c085f304

bump to nightly-2023-03-23-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/57e09a1296bfb4330ddf6624f1028ba186117d82

9354dcbd

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison, Bhavik Mehta
 
 ! This file was ported from Lean 3 source module category_theory.closed.monoidal
-! leanprover-community/mathlib commit c0e00a871b9f6d3aca7c10fb3abdc8720a2c5313
+! leanprover-community/mathlib commit c085f3044fe585c575e322bfab45b3633c48d820
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -16,6 +16,9 @@ import Mathbin.CategoryTheory.Functor.InvIsos
 /-!
 # Closed monoidal categories
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 Define (right) closed objects and (right) closed monoidal categories.
 
 ## TODO

c0e00a87

bump to nightly-2023-03-21-14

mathlib commit https://github.com/leanprover-community/mathlib/commit/290a7ba01fbcab1b64757bdaa270d28f4dcede35

4b782568

Diff

@@ -30,6 +30,7 @@ namespace CategoryTheory
 
 open Category MonoidalCategory
 
+#print CategoryTheory.Closed /-
 -- Note that this class carries a particular choice of right adjoint,
 -- (which is only unique up to isomorphism),
 -- not merely the existence of such, and
@@ -38,17 +39,21 @@ open Category MonoidalCategory
 class Closed {C : Type u} [Category.{v} C] [MonoidalCategory.{v} C] (X : C) where
   isAdj : IsLeftAdjoint (tensorLeft X)
 #align category_theory.closed CategoryTheory.Closed
+-/
 
+#print CategoryTheory.MonoidalClosed /-
 /-- A monoidal category `C` is (right) monoidal closed if every object is (right) closed. -/
 class MonoidalClosed (C : Type u) [Category.{v} C] [MonoidalCategory.{v} C] where
   closed' : ∀ X : C, Closed X
 #align category_theory.monoidal_closed CategoryTheory.MonoidalClosed
+-/
 
 attribute [instance] monoidal_closed.closed'
 
 variable {C : Type u} [Category.{v} C] [MonoidalCategory.{v} C]
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.tensorClosed /-
 /-- If `X` and `Y` are closed then `X ⊗ Y` is.
 This isn't an instance because it's not usually how we want to construct internal homs,
 we'll usually prove all objects are closed uniformly.
@@ -59,7 +64,9 @@ def tensorClosed {X Y : C} (hX : Closed X) (hY : Closed Y) : Closed (X ⊗ Y)
     haveI := hY.is_adj
     exact adjunction.left_adjoint_of_nat_iso (monoidal_category.tensor_left_tensor _ _).symm
 #align category_theory.tensor_closed CategoryTheory.tensorClosed
+-/
 
+#print CategoryTheory.unitClosed /-
 /-- The unit object is always closed.
 This isn't an instance because most of the time we'll prove closedness for all objects at once,
 rather than just for this one.
@@ -79,44 +86,63 @@ def unitClosed : Closed (𝟙_ C)
               dsimp
               rw [left_unitor_naturality_assoc] } }
 #align category_theory.unit_closed CategoryTheory.unitClosed
+-/
 
 variable (A B : C) {X X' Y Y' Z : C}
 
 variable [Closed A]
 
+#print CategoryTheory.ihom /-
 /-- This is the internal hom `A ⟶[C] -`.
 -/
 def ihom : C ⥤ C :=
   (@Closed.isAdj _ _ _ A _).right
 #align category_theory.ihom CategoryTheory.ihom
+-/
 
 namespace Ihom
 
+#print CategoryTheory.ihom.adjunction /-
 /-- The adjunction between `A ⊗ -` and `A ⟹ -`. -/
 def adjunction : tensorLeft A ⊣ ihom A :=
   Closed.isAdj.adj
 #align category_theory.ihom.adjunction CategoryTheory.ihom.adjunction
+-/
 
+#print CategoryTheory.ihom.ev /-
 /-- The evaluation natural transformation. -/
 def ev : ihom A ⋙ tensorLeft A ⟶ 𝟭 C :=
   (ihom.adjunction A).counit
 #align category_theory.ihom.ev CategoryTheory.ihom.ev
+-/
 
+#print CategoryTheory.ihom.coev /-
 /-- The coevaluation natural transformation. -/
 def coev : 𝟭 C ⟶ tensorLeft A ⋙ ihom A :=
   (ihom.adjunction A).Unit
 #align category_theory.ihom.coev CategoryTheory.ihom.coev
+-/
 
+#print CategoryTheory.ihom.ihom_adjunction_counit /-
 @[simp]
 theorem ihom_adjunction_counit : (ihom.adjunction A).counit = ev A :=
   rfl
 #align category_theory.ihom.ihom_adjunction_counit CategoryTheory.ihom.ihom_adjunction_counit
+-/
 
+#print CategoryTheory.ihom.ihom_adjunction_unit /-
 @[simp]
 theorem ihom_adjunction_unit : (ihom.adjunction A).Unit = coev A :=
   rfl
 #align category_theory.ihom.ihom_adjunction_unit CategoryTheory.ihom.ihom_adjunction_unit
+-/
 
+/- warning: category_theory.ihom.ev_naturality -> CategoryTheory.ihom.ev_naturality is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u2} C _inst_1] (A : C) [_inst_3 : CategoryTheory.Closed.{u1, u2} C _inst_1 _inst_2 A] {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) X)) (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1) Y)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) X)) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) Y)) (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1) Y) (CategoryTheory.MonoidalCategory.tensorHom.{u1, u2} C _inst_1 _inst_2 A A (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) X) (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) Y) (CategoryTheory.CategoryStruct.id.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A) (CategoryTheory.Functor.map.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) X Y f)) (CategoryTheory.NatTrans.app.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.comp.{u1, u1, u1, u2, u2, u2} C _inst_1 C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A)) (CategoryTheory.Functor.id.{u1, u2} C _inst_1) (CategoryTheory.ihom.ev.{u1, u2} C _inst_1 _inst_2 A _inst_3) Y)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) X)) (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1) X) (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1) Y) (CategoryTheory.NatTrans.app.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.comp.{u1, u1, u1, u2, u2, u2} C _inst_1 C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A)) (CategoryTheory.Functor.id.{u1, u2} C _inst_1) (CategoryTheory.ihom.ev.{u1, u2} C _inst_1 _inst_2 A _inst_3) X) f)
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.ihom.ev_naturality CategoryTheory.ihom.ev_naturalityₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 @[simp, reassoc.1]
 theorem ev_naturality {X Y : C} (f : X ⟶ Y) :
@@ -124,6 +150,12 @@ theorem ev_naturality {X Y : C} (f : X ⟶ Y) :
   (ev A).naturality f
 #align category_theory.ihom.ev_naturality CategoryTheory.ihom.ev_naturality
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.ihom.coev_naturality CategoryTheory.ihom.coev_naturalityₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 @[simp, reassoc.1]
 theorem coev_naturality {X Y : C} (f : X ⟶ Y) :
@@ -134,6 +166,12 @@ theorem coev_naturality {X Y : C} (f : X ⟶ Y) :
 -- mathport name: ihom
 notation A " ⟶[" C "] " B:10 => (@ihom C _ _ A _).obj B
 
+/- warning: category_theory.ihom.ev_coev -> CategoryTheory.ihom.ev_coev is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.ihom.ev_coev CategoryTheory.ihom.ev_coevₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
@@ -142,6 +180,12 @@ theorem ev_coev : (𝟙 A ⊗ (coev A).app B) ≫ (ev A).app (A ⊗ B) = 𝟙 (A
   Adjunction.left_triangle_components (ihom.adjunction A)
 #align category_theory.ihom.ev_coev CategoryTheory.ihom.ev_coev
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.ihom.coev_ev CategoryTheory.ihom.coev_evₓ'. -/
 @[simp, reassoc.1]
 theorem coev_ev : (coev A).app (A ⟶[C] B) ≫ (ihom A).map ((ev A).app B) = 𝟙 (A ⟶[C] B) :=
   Adjunction.right_triangle_components (ihom.adjunction A)
@@ -159,30 +203,60 @@ variable {A}
 -- Wrap these in a namespace so we don't clash with the core versions.
 namespace MonoidalClosed
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.curry CategoryTheory.MonoidalClosed.curryₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /-- Currying in a monoidal closed category. -/
 def curry : (A ⊗ Y ⟶ X) → (Y ⟶ A ⟶[C] X) :=
   (ihom.adjunction A).homEquiv _ _
 #align category_theory.monoidal_closed.curry CategoryTheory.MonoidalClosed.curry
 
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 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /-- Uncurrying in a monoidal closed category. -/
 def uncurry : (Y ⟶ A ⟶[C] X) → (A ⊗ Y ⟶ X) :=
   ((ihom.adjunction A).homEquiv _ _).symm
 #align category_theory.monoidal_closed.uncurry CategoryTheory.MonoidalClosed.uncurry
 
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 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 @[simp]
 theorem homEquiv_apply_eq (f : A ⊗ Y ⟶ X) : (ihom.adjunction A).homEquiv _ _ f = curry f :=
   rfl
 #align category_theory.monoidal_closed.hom_equiv_apply_eq CategoryTheory.MonoidalClosed.homEquiv_apply_eq
 
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 @[simp]
 theorem homEquiv_symm_apply_eq (f : Y ⟶ A ⟶[C] X) :
     ((ihom.adjunction A).homEquiv _ _).symm f = uncurry f :=
   rfl
 #align category_theory.monoidal_closed.hom_equiv_symm_apply_eq CategoryTheory.MonoidalClosed.homEquiv_symm_apply_eq
 
+/- warning: category_theory.monoidal_closed.curry_natural_left -> CategoryTheory.MonoidalClosed.curry_natural_left is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u2} C _inst_1] {A : C} {X : C} {X' : C} {Y : C} [_inst_3 : CategoryTheory.Closed.{u1, u2} C _inst_1 _inst_2 A] (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X X') (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A X') Y), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) Y)) (CategoryTheory.MonoidalClosed.curry.{u1, u2} C _inst_1 _inst_2 A Y X _inst_3 (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A X) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A X') Y (CategoryTheory.MonoidalCategory.tensorHom.{u1, u2} C _inst_1 _inst_2 A A X X' (CategoryTheory.CategoryStruct.id.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A) f) g)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X X' (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) Y) f (CategoryTheory.MonoidalClosed.curry.{u1, u2} C _inst_1 _inst_2 A Y X' _inst_3 g))
+Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.curry_natural_left CategoryTheory.MonoidalClosed.curry_natural_leftₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 @[reassoc.1]
@@ -190,6 +264,12 @@ theorem curry_natural_left (f : X ⟶ X') (g : A ⊗ X' ⟶ Y) : curry ((𝟙 _
   Adjunction.homEquiv_naturality_left _ _ _
 #align category_theory.monoidal_closed.curry_natural_left CategoryTheory.MonoidalClosed.curry_natural_left
 
+/- warning: category_theory.monoidal_closed.curry_natural_right -> CategoryTheory.MonoidalClosed.curry_natural_right is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u2} C _inst_1] {A : C} {X : C} {Y : C} {Y' : C} [_inst_3 : CategoryTheory.Closed.{u1, u2} C _inst_1 _inst_2 A] (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A X) Y) (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Y'), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) Y')) (CategoryTheory.MonoidalClosed.curry.{u1, u2} C _inst_1 _inst_2 A Y' X _inst_3 (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A X) Y Y' f g)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) Y) (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) Y') (CategoryTheory.MonoidalClosed.curry.{u1, u2} C _inst_1 _inst_2 A Y X _inst_3 f) (CategoryTheory.Functor.map.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) Y Y' g))
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u2} C _inst_1] {A : C} {X : C} {Y : C} {Y' : C} [_inst_3 : CategoryTheory.Closed.{u1, u2} C _inst_1 _inst_2 A] (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A X) Y) (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Y'), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) Y')) (CategoryTheory.MonoidalClosed.curry.{u1, u2} C _inst_1 _inst_2 A Y' X _inst_3 (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A X) Y Y' f g)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) Y) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) Y') (CategoryTheory.MonoidalClosed.curry.{u1, u2} C _inst_1 _inst_2 A Y X _inst_3 f) (Prefunctor.map.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) Y Y' g))
+Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.curry_natural_right CategoryTheory.MonoidalClosed.curry_natural_rightₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 @[reassoc.1]
 theorem curry_natural_right (f : A ⊗ X ⟶ Y) (g : Y ⟶ Y') :
@@ -197,12 +277,24 @@ theorem curry_natural_right (f : A ⊗ X ⟶ Y) (g : Y ⟶ Y') :
   Adjunction.homEquiv_naturality_right _ _ _
 #align category_theory.monoidal_closed.curry_natural_right CategoryTheory.MonoidalClosed.curry_natural_right
 
+/- warning: category_theory.monoidal_closed.uncurry_natural_right -> CategoryTheory.MonoidalClosed.uncurry_natural_right is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u2} C _inst_1] {A : C} {X : C} {Y : C} {Y' : C} [_inst_3 : CategoryTheory.Closed.{u1, u2} C _inst_1 _inst_2 A] (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) Y)) (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Y'), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A X) Y') (CategoryTheory.MonoidalClosed.uncurry.{u1, u2} C _inst_1 _inst_2 A Y' X _inst_3 (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) Y) (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) Y') f (CategoryTheory.Functor.map.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) Y Y' g))) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A X) Y Y' (CategoryTheory.MonoidalClosed.uncurry.{u1, u2} C _inst_1 _inst_2 A Y X _inst_3 f) g)
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u2} C _inst_1] {A : C} {X : C} {Y : C} {Y' : C} [_inst_3 : CategoryTheory.Closed.{u1, u2} C _inst_1 _inst_2 A] (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) Y)) (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Y'), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A X) Y') (CategoryTheory.MonoidalClosed.uncurry.{u1, u2} C _inst_1 _inst_2 A Y' X _inst_3 (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) Y) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) Y') f (Prefunctor.map.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) Y Y' g))) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A X) Y Y' (CategoryTheory.MonoidalClosed.uncurry.{u1, u2} C _inst_1 _inst_2 A Y X _inst_3 f) g)
+Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.uncurry_natural_right CategoryTheory.MonoidalClosed.uncurry_natural_rightₓ'. -/
 @[reassoc.1]
 theorem uncurry_natural_right (f : X ⟶ A ⟶[C] Y) (g : Y ⟶ Y') :
     uncurry (f ≫ (ihom _).map g) = uncurry f ≫ g :=
   Adjunction.homEquiv_naturality_right_symm _ _ _
 #align category_theory.monoidal_closed.uncurry_natural_right CategoryTheory.MonoidalClosed.uncurry_natural_right
 
+/- warning: category_theory.monoidal_closed.uncurry_natural_left -> CategoryTheory.MonoidalClosed.uncurry_natural_left is a dubious translation:
+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.monoidal_closed.uncurry_natural_left CategoryTheory.MonoidalClosed.uncurry_natural_leftₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 @[reassoc.1]
 theorem uncurry_natural_left (f : X ⟶ X') (g : X' ⟶ A ⟶[C] Y) :
@@ -211,42 +303,86 @@ theorem uncurry_natural_left (f : X ⟶ X') (g : X' ⟶ A ⟶[C] Y) :
 #align category_theory.monoidal_closed.uncurry_natural_left CategoryTheory.MonoidalClosed.uncurry_natural_left
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.MonoidalClosed.uncurry_curry /-
 @[simp]
 theorem uncurry_curry (f : A ⊗ X ⟶ Y) : uncurry (curry f) = f :=
   (Closed.isAdj.adj.homEquiv _ _).left_inv f
 #align category_theory.monoidal_closed.uncurry_curry CategoryTheory.MonoidalClosed.uncurry_curry
+-/
 
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 @[simp]
 theorem curry_uncurry (f : X ⟶ A ⟶[C] Y) : curry (uncurry f) = f :=
   (Closed.isAdj.adj.homEquiv _ _).right_inv f
 #align category_theory.monoidal_closed.curry_uncurry CategoryTheory.MonoidalClosed.curry_uncurry
 
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 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 theorem curry_eq_iff (f : A ⊗ Y ⟶ X) (g : Y ⟶ A ⟶[C] X) : curry f = g ↔ f = uncurry g :=
   Adjunction.homEquiv_apply_eq _ f g
 #align category_theory.monoidal_closed.curry_eq_iff CategoryTheory.MonoidalClosed.curry_eq_iff
 
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 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 theorem eq_curry_iff (f : A ⊗ Y ⟶ X) (g : Y ⟶ A ⟶[C] X) : g = curry f ↔ uncurry g = f :=
   Adjunction.eq_homEquiv_apply _ f g
 #align category_theory.monoidal_closed.eq_curry_iff CategoryTheory.MonoidalClosed.eq_curry_iff
 
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+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u2} C _inst_1] {A : C} {X : C} {Y : C} [_inst_3 : CategoryTheory.Closed.{u1, u2} C _inst_1 _inst_2 A] (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) X)), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A Y) X) (CategoryTheory.MonoidalClosed.uncurry.{u1, u2} C _inst_1 _inst_2 A X Y _inst_3 g) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A Y) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) X)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1)) X) (CategoryTheory.MonoidalCategory.tensorHom.{u1, u2} C _inst_1 _inst_2 A A Y (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) X) (CategoryTheory.CategoryStruct.id.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A) g) (CategoryTheory.NatTrans.app.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.Functor.comp.{u1, u1, u1, u2, u2, u2} C _inst_1 C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) (CategoryTheory.MonoidalCategory.tensorLeft.{u1, u2} C _inst_1 _inst_2 A)) (CategoryTheory.Functor.id.{u1, u2} C _inst_1) (CategoryTheory.ihom.ev.{u1, u2} C _inst_1 _inst_2 A _inst_3) X))
+Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.uncurry_eq CategoryTheory.MonoidalClosed.uncurry_eqₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 -- I don't think these two should be simp.
 theorem uncurry_eq (g : Y ⟶ A ⟶[C] X) : uncurry g = (𝟙 A ⊗ g) ≫ (ihom.ev A).app X :=
   Adjunction.homEquiv_counit _
 #align category_theory.monoidal_closed.uncurry_eq CategoryTheory.MonoidalClosed.uncurry_eq
 
+/- warning: category_theory.monoidal_closed.curry_eq -> CategoryTheory.MonoidalClosed.curry_eq is a dubious translation:
+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.monoidal_closed.curry_eq CategoryTheory.MonoidalClosed.curry_eqₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 theorem curry_eq (g : A ⊗ Y ⟶ X) : curry g = (ihom.coev A).app Y ≫ (ihom A).map g :=
   Adjunction.homEquiv_unit _
 #align category_theory.monoidal_closed.curry_eq CategoryTheory.MonoidalClosed.curry_eq
 
+/- warning: category_theory.monoidal_closed.curry_injective -> CategoryTheory.MonoidalClosed.curry_injective is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u2} C _inst_1] {A : C} {X : C} {Y : C} [_inst_3 : CategoryTheory.Closed.{u1, u2} C _inst_1 _inst_2 A], Function.Injective.{succ u1, succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A Y) X) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) X)) (CategoryTheory.MonoidalClosed.curry.{u1, u2} C _inst_1 _inst_2 A X Y _inst_3)
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u2} C _inst_1] {A : C} {X : C} {Y : C} [_inst_3 : CategoryTheory.Closed.{u1, u2} C _inst_1 _inst_2 A], Function.Injective.{succ u1, succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A Y) X) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) X)) (CategoryTheory.MonoidalClosed.curry.{u1, u2} C _inst_1 _inst_2 A X Y _inst_3)
+Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.curry_injective CategoryTheory.MonoidalClosed.curry_injectiveₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 theorem curry_injective : Function.Injective (curry : (A ⊗ Y ⟶ X) → (Y ⟶ A ⟶[C] X)) :=
   (Closed.isAdj.adj.homEquiv _ _).Injective
 #align category_theory.monoidal_closed.curry_injective CategoryTheory.MonoidalClosed.curry_injective
 
+/- warning: category_theory.monoidal_closed.uncurry_injective -> CategoryTheory.MonoidalClosed.uncurry_injective is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u2} C _inst_1] {A : C} {X : C} {Y : C} [_inst_3 : CategoryTheory.Closed.{u1, u2} C _inst_1 _inst_2 A], Function.Injective.{succ u1, succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y (CategoryTheory.Functor.obj.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3) X)) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A Y) X) (CategoryTheory.MonoidalClosed.uncurry.{u1, u2} C _inst_1 _inst_2 A X Y _inst_3)
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u2} C _inst_1] {A : C} {X : C} {Y : C} [_inst_3 : CategoryTheory.Closed.{u1, u2} C _inst_1 _inst_2 A], Function.Injective.{succ u1, succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 A _inst_3)) X)) (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.MonoidalCategory.tensorObj.{u1, u2} C _inst_1 _inst_2 A Y) X) (CategoryTheory.MonoidalClosed.uncurry.{u1, u2} C _inst_1 _inst_2 A X Y _inst_3)
+Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.uncurry_injective CategoryTheory.MonoidalClosed.uncurry_injectiveₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 theorem uncurry_injective : Function.Injective (uncurry : (Y ⟶ A ⟶[C] X) → (A ⊗ Y ⟶ X)) :=
   (Closed.isAdj.adj.homEquiv _ _).symm.Injective
@@ -254,10 +390,22 @@ theorem uncurry_injective : Function.Injective (uncurry : (Y ⟶ A ⟶[C] X) →
 
 variable (A X)
 
+/- warning: category_theory.monoidal_closed.uncurry_id_eq_ev -> CategoryTheory.MonoidalClosed.uncurry_id_eq_ev is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.uncurry_id_eq_ev CategoryTheory.MonoidalClosed.uncurry_id_eq_evₓ'. -/
 theorem uncurry_id_eq_ev : uncurry (𝟙 (A ⟶[C] X)) = (ihom.ev A).app X := by
   rw [uncurry_eq, tensor_id, id_comp]
 #align category_theory.monoidal_closed.uncurry_id_eq_ev CategoryTheory.MonoidalClosed.uncurry_id_eq_ev
 
+/- warning: category_theory.monoidal_closed.curry_id_eq_coev -> CategoryTheory.MonoidalClosed.curry_id_eq_coev is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.curry_id_eq_coev CategoryTheory.MonoidalClosed.curry_id_eq_coevₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 theorem curry_id_eq_coev : curry (𝟙 _) = (ihom.coev A).app X :=
   by
@@ -269,11 +417,19 @@ section Pre
 
 variable {A B} [Closed B]
 
+#print CategoryTheory.MonoidalClosed.pre /-
 /-- Pre-compose an internal hom with an external hom. -/
 def pre (f : B ⟶ A) : ihom A ⟶ ihom B :=
   transferNatTransSelf (ihom.adjunction _) (ihom.adjunction _) ((tensoringLeft C).map f)
 #align category_theory.monoidal_closed.pre CategoryTheory.MonoidalClosed.pre
+-/
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.id_tensor_pre_app_comp_ev CategoryTheory.MonoidalClosed.id_tensor_pre_app_comp_evₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 @[simp, reassoc.1]
@@ -282,6 +438,12 @@ theorem id_tensor_pre_app_comp_ev (f : B ⟶ A) (X : C) :
   transferNatTransSelf_counit _ _ ((tensoringLeft C).map f) X
 #align category_theory.monoidal_closed.id_tensor_pre_app_comp_ev CategoryTheory.MonoidalClosed.id_tensor_pre_app_comp_ev
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.uncurry_pre CategoryTheory.MonoidalClosed.uncurry_preₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 @[simp]
 theorem uncurry_pre (f : B ⟶ A) (X : C) :
@@ -289,6 +451,12 @@ theorem uncurry_pre (f : B ⟶ A) (X : C) :
   rw [uncurry_eq, id_tensor_pre_app_comp_ev]
 #align category_theory.monoidal_closed.uncurry_pre CategoryTheory.MonoidalClosed.uncurry_pre
 
+/- warning: category_theory.monoidal_closed.coev_app_comp_pre_app -> CategoryTheory.MonoidalClosed.coev_app_comp_pre_app is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.coev_app_comp_pre_app CategoryTheory.MonoidalClosed.coev_app_comp_pre_appₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 @[simp, reassoc.1]
@@ -297,6 +465,7 @@ theorem coev_app_comp_pre_app (f : B ⟶ A) :
   unit_transferNatTransSelf _ _ ((tensoringLeft C).map f) X
 #align category_theory.monoidal_closed.coev_app_comp_pre_app CategoryTheory.MonoidalClosed.coev_app_comp_pre_app
 
+#print CategoryTheory.MonoidalClosed.pre_id /-
 @[simp]
 theorem pre_id (A : C) [Closed A] : pre (𝟙 A) = 𝟙 _ :=
   by
@@ -304,19 +473,29 @@ theorem pre_id (A : C) [Closed A] : pre (𝟙 A) = 𝟙 _ :=
   dsimp
   simp
 #align category_theory.monoidal_closed.pre_id CategoryTheory.MonoidalClosed.pre_id
+-/
 
+#print CategoryTheory.MonoidalClosed.pre_map /-
 @[simp]
 theorem pre_map {A₁ A₂ A₃ : C} [Closed A₁] [Closed A₂] [Closed A₃] (f : A₁ ⟶ A₂) (g : A₂ ⟶ A₃) :
     pre (f ≫ g) = pre g ≫ pre f := by
   rw [pre, pre, pre, transfer_nat_trans_self_comp, (tensoring_left C).map_comp]
 #align category_theory.monoidal_closed.pre_map CategoryTheory.MonoidalClosed.pre_map
+-/
 
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+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u2} C _inst_1] {W : C} {X : C} {Y : C} {Z : C} [_inst_5 : CategoryTheory.Closed.{u1, u2} C _inst_1 _inst_2 W] [_inst_6 : CategoryTheory.Closed.{u1, u2} C _inst_1 _inst_2 X] (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) W X) (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C 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(CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 X _inst_6)) Y) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 W _inst_5)) Y) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 W _inst_5)) Z) (CategoryTheory.NatTrans.app.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 X _inst_6) (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 W _inst_5) (CategoryTheory.MonoidalClosed.pre.{u1, u2} C _inst_1 _inst_2 X W _inst_6 _inst_5 f) Y) (Prefunctor.map.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 W _inst_5)) Y Z g)) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 X _inst_6)) Y) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 X _inst_6)) Z) (Prefunctor.obj.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 W _inst_5)) Z) (Prefunctor.map.{succ u1, succ u1, u2, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 X _inst_6)) Y Z g) (CategoryTheory.NatTrans.app.{u1, u1, u2, u2} C _inst_1 C _inst_1 (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 X _inst_6) (CategoryTheory.ihom.{u1, u2} C _inst_1 _inst_2 W _inst_5) (CategoryTheory.MonoidalClosed.pre.{u1, u2} C _inst_1 _inst_2 X W _inst_6 _inst_5 f) Z))
+Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_closed.pre_comm_ihom_map CategoryTheory.MonoidalClosed.pre_comm_ihom_mapₓ'. -/
 theorem pre_comm_ihom_map {W X Y Z : C} [Closed W] [Closed X] (f : W ⟶ X) (g : Y ⟶ Z) :
     (pre f).app Y ≫ (ihom W).map g = (ihom X).map g ≫ (pre f).app Z := by simp
 #align category_theory.monoidal_closed.pre_comm_ihom_map CategoryTheory.MonoidalClosed.pre_comm_ihom_map
 
 end Pre
 
+#print CategoryTheory.MonoidalClosed.internalHom /-
 /-- The internal hom functor given by the monoidal closed structure. -/
 @[simps]
 def internalHom [MonoidalClosed C] : Cᵒᵖ ⥤ C ⥤ C
@@ -324,11 +503,13 @@ def internalHom [MonoidalClosed C] : Cᵒᵖ ⥤ C ⥤ C
   obj X := ihom X.unop
   map X Y f := pre f.unop
 #align category_theory.monoidal_closed.internal_hom CategoryTheory.MonoidalClosed.internalHom
+-/
 
 section OfEquiv
 
 variable {D : Type u₂} [Category.{v₂} D] [MonoidalCategory.{v₂} D]
 
+#print CategoryTheory.MonoidalClosed.ofEquiv /-
 /-- Transport the property of being monoidal closed across a monoidal equivalence of categories -/
 noncomputable def ofEquiv (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
     [h : MonoidalClosed D] : MonoidalClosed C
@@ -340,6 +521,7 @@ noncomputable def ofEquiv (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
         have i := comp_inv_iso (monoidal_functor.comm_tensor_left F X)
         exact adjunction.left_adjoint_of_nat_iso i }
 #align category_theory.monoidal_closed.of_equiv CategoryTheory.MonoidalClosed.ofEquiv
+-/
 
 end OfEquiv

c0e00a87

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

0caf3701

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

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

65b7affc

Diff

@@ -304,7 +304,7 @@ section OfEquiv
 variable {D : Type u₂} [Category.{v₂} D] [MonoidalCategory.{v₂} D]
 
 /-- Transport the property of being monoidal closed across a monoidal equivalence of categories -/
-noncomputable def ofEquiv (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
+noncomputable def ofEquiv (F : MonoidalFunctor C D) [F.IsEquivalence]
     [h : MonoidalClosed D] : MonoidalClosed C where
   closed X :=
     { isAdj := by
@@ -319,7 +319,7 @@ monoidal closed instance back along the equivalence. For `X, Y, Z : C`, this lem
 resulting currying map `Hom(X ⊗ Y, Z) → Hom(Y, (X ⟶[C] Z))`. (`X ⟶[C] Z` is defined to be
 `F⁻¹(F(X) ⟶[D] F(Z))`, so currying in `C` is given by essentially conjugating currying in
 `D` by `F.`) -/
-theorem ofEquiv_curry_def (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
+theorem ofEquiv_curry_def (F : MonoidalFunctor C D) [F.IsEquivalence]
     [MonoidalClosed D] {X Y Z : C} (f : X ⊗ Y ⟶ Z) :
     @MonoidalClosed.curry _ _ _ _ _ _ ((MonoidalClosed.ofEquiv F).1 _) f =
       (F.1.1.adjunction.homEquiv Y ((ihom _).obj _))
@@ -334,7 +334,7 @@ monoidal closed instance back along the equivalence. For `X, Y, Z : C`, this lem
 resulting uncurrying map `Hom(Y, (X ⟶[C] Z)) → Hom(X ⊗ Y ⟶ Z)`. (`X ⟶[C] Z` is
 defined to be `F⁻¹(F(X) ⟶[D] F(Z))`, so uncurrying in `C` is given by essentially conjugating
 uncurrying in `D` by `F.`) -/
-theorem ofEquiv_uncurry_def (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
+theorem ofEquiv_uncurry_def (F : MonoidalFunctor C D) [F.IsEquivalence]
     [MonoidalClosed D] {X Y Z : C}
     (f : Y ⟶ (@ihom _ _ _ X <| (MonoidalClosed.ofEquiv F).1 X).obj Z) :
     @MonoidalClosed.uncurry _ _ _ _ _ _ ((MonoidalClosed.ofEquiv F).1 _) f =

0caf3701

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)

75c86f04

Diff

@@ -80,7 +80,6 @@ def unitClosed : Closed (𝟙_ C) where
 #align category_theory.unit_closed CategoryTheory.unitClosed
 
 variable (A B : C) {X X' Y Y' Z : C}
-
 variable [Closed A]
 
 /-- This is the internal hom `A ⟶[C] -`.

0caf3701

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

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

8a40b522

Diff

@@ -72,7 +72,7 @@ def unitClosed : Closed (𝟙_ C) where
                 right_inv := by aesop_cat }
             homEquiv_naturality_left_symm := fun f g => by
               dsimp
-              rw [leftUnitor_naturality'_assoc]
+              rw [leftUnitor_naturality_assoc]
             -- This used to be automatic before leanprover/lean4#2644
             homEquiv_naturality_right := by  -- aesop failure
               dsimp

0caf3701

feat(CategoryTheory/Monoidal): redefine tensorLeft by using whiskering (#10898)

Extracted from #6307

13e13156

Diff

@@ -72,7 +72,7 @@ def unitClosed : Closed (𝟙_ C) where
                 right_inv := by aesop_cat }
             homEquiv_naturality_left_symm := fun f g => by
               dsimp
-              rw [leftUnitor_naturality_assoc]
+              rw [leftUnitor_naturality'_assoc]
             -- This used to be automatic before leanprover/lean4#2644
             homEquiv_naturality_right := by  -- aesop failure
               dsimp
@@ -118,13 +118,13 @@ theorem ihom_adjunction_unit : (ihom.adjunction A).unit = coev A :=
 
 @[reassoc (attr := simp)]
 theorem ev_naturality {X Y : C} (f : X ⟶ Y) :
-    (𝟙 A ⊗ (ihom A).map f) ≫ (ev A).app Y = (ev A).app X ≫ f :=
+    A ◁ (ihom A).map f ≫ (ev A).app Y = (ev A).app X ≫ f :=
   (ev A).naturality f
 #align category_theory.ihom.ev_naturality CategoryTheory.ihom.ev_naturality
 
 @[reassoc (attr := simp)]
 theorem coev_naturality {X Y : C} (f : X ⟶ Y) :
-    f ≫ (coev A).app Y = (coev A).app X ≫ (ihom A).map (𝟙 A ⊗ f) :=
+    f ≫ (coev A).app Y = (coev A).app X ≫ (ihom A).map (A ◁ f) :=
   (coev A).naturality f
 #align category_theory.ihom.coev_naturality CategoryTheory.ihom.coev_naturality
 
@@ -133,8 +133,8 @@ set_option quotPrecheck false in
 notation A " ⟶[" C "] " B:10 => (@ihom C _ _ A _).obj B
 
 @[reassoc (attr := simp)]
-theorem ev_coev : (𝟙 A ⊗ (coev A).app B) ≫ (ev A).app (A ⊗ B) = 𝟙 (A ⊗ B) :=
-  Adjunction.left_triangle_components (ihom.adjunction A) _
+theorem ev_coev : (A ◁ (coev A).app B) ≫ (ev A).app (A ⊗ B) = 𝟙 (A ⊗ B) :=
+  (ihom.adjunction A).left_triangle_components _
 #align category_theory.ihom.ev_coev CategoryTheory.ihom.ev_coev
 
 @[reassoc (attr := simp)]
@@ -178,7 +178,7 @@ theorem homEquiv_symm_apply_eq (f : Y ⟶ A ⟶[C] X) :
 #align category_theory.monoidal_closed.hom_equiv_symm_apply_eq CategoryTheory.MonoidalClosed.homEquiv_symm_apply_eq
 
 @[reassoc]
-theorem curry_natural_left (f : X ⟶ X') (g : A ⊗ X' ⟶ Y) : curry ((𝟙 _ ⊗ f) ≫ g) = f ≫ curry g :=
+theorem curry_natural_left (f : X ⟶ X') (g : A ⊗ X' ⟶ Y) : curry (_ ◁ f ≫ g) = f ≫ curry g :=
   Adjunction.homEquiv_naturality_left _ _ _
 #align category_theory.monoidal_closed.curry_natural_left CategoryTheory.MonoidalClosed.curry_natural_left
 
@@ -196,7 +196,7 @@ theorem uncurry_natural_right (f : X ⟶ A ⟶[C] Y) (g : Y ⟶ Y') :
 
 @[reassoc]
 theorem uncurry_natural_left (f : X ⟶ X') (g : X' ⟶ A ⟶[C] Y) :
-    uncurry (f ≫ g) = (𝟙 _ ⊗ f) ≫ uncurry g :=
+    uncurry (f ≫ g) = _ ◁ f ≫ uncurry g :=
   Adjunction.homEquiv_naturality_left_symm _ _ _
 #align category_theory.monoidal_closed.uncurry_natural_left CategoryTheory.MonoidalClosed.uncurry_natural_left
 
@@ -219,7 +219,7 @@ theorem eq_curry_iff (f : A ⊗ Y ⟶ X) (g : Y ⟶ A ⟶[C] X) : g = curry f 
 #align category_theory.monoidal_closed.eq_curry_iff CategoryTheory.MonoidalClosed.eq_curry_iff
 
 -- I don't think these two should be simp.
-theorem uncurry_eq (g : Y ⟶ A ⟶[C] X) : uncurry g = (𝟙 A ⊗ g) ≫ (ihom.ev A).app X :=
+theorem uncurry_eq (g : Y ⟶ A ⟶[C] X) : uncurry g = (A ◁ g) ≫ (ihom.ev A).app X :=
   Adjunction.homEquiv_counit _
 #align category_theory.monoidal_closed.uncurry_eq CategoryTheory.MonoidalClosed.uncurry_eq
 
@@ -238,7 +238,7 @@ theorem uncurry_injective : Function.Injective (uncurry : (Y ⟶ A ⟶[C] X) →
 variable (A X)
 
 theorem uncurry_id_eq_ev : uncurry (𝟙 (A ⟶[C] X)) = (ihom.ev A).app X := by
-  rw [uncurry_eq, tensor_id, id_comp]
+  simp [uncurry_eq]
 #align category_theory.monoidal_closed.uncurry_id_eq_ev CategoryTheory.MonoidalClosed.uncurry_id_eq_ev
 
 theorem curry_id_eq_coev : curry (𝟙 _) = (ihom.coev A).app X := by
@@ -257,19 +257,19 @@ def pre (f : B ⟶ A) : ihom A ⟶ ihom B :=
 
 @[reassoc (attr := simp)]
 theorem id_tensor_pre_app_comp_ev (f : B ⟶ A) (X : C) :
-    (𝟙 B ⊗ (pre f).app X) ≫ (ihom.ev B).app X = (f ⊗ 𝟙 (A ⟶[C] X)) ≫ (ihom.ev A).app X :=
+    B ◁ (pre f).app X ≫ (ihom.ev B).app X = f ▷ (A ⟶[C] X) ≫ (ihom.ev A).app X :=
   transferNatTransSelf_counit _ _ ((tensoringLeft C).map f) X
 #align category_theory.monoidal_closed.id_tensor_pre_app_comp_ev CategoryTheory.MonoidalClosed.id_tensor_pre_app_comp_ev
 
 @[simp]
 theorem uncurry_pre (f : B ⟶ A) (X : C) :
-    MonoidalClosed.uncurry ((pre f).app X) = (f ⊗ 𝟙 _) ≫ (ihom.ev A).app X := by
-  rw [uncurry_eq, id_tensor_pre_app_comp_ev]
+    MonoidalClosed.uncurry ((pre f).app X) = f ▷ _ ≫ (ihom.ev A).app X := by
+  simp [uncurry_eq]
 #align category_theory.monoidal_closed.uncurry_pre CategoryTheory.MonoidalClosed.uncurry_pre
 
 @[reassoc (attr := simp)]
 theorem coev_app_comp_pre_app (f : B ⟶ A) :
-    (ihom.coev A).app X ≫ (pre f).app (A ⊗ X) = (ihom.coev B).app X ≫ (ihom B).map (f ⊗ 𝟙 _) :=
+    (ihom.coev A).app X ≫ (pre f).app (A ⊗ X) = (ihom.coev B).app X ≫ (ihom B).map (f ▷ _) :=
   unit_transferNatTransSelf _ _ ((tensoringLeft C).map f) X
 #align category_theory.monoidal_closed.coev_app_comp_pre_app CategoryTheory.MonoidalClosed.coev_app_comp_pre_app
 
@@ -326,7 +326,7 @@ theorem ofEquiv_curry_def (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
       (F.1.1.adjunction.homEquiv Y ((ihom _).obj _))
         (MonoidalClosed.curry
           (F.1.1.inv.adjunction.homEquiv (F.1.1.obj X ⊗ F.1.1.obj Y) Z
-            ((F.commTensorLeft X).compInvIso.hom.app Y ≫ f))) :=
+            (((F.commTensorLeft X).compInvIso).hom.app Y ≫ f))) :=
   rfl
 #align category_theory.monoidal_closed.of_equiv_curry_def CategoryTheory.MonoidalClosed.ofEquiv_curry_def
 
@@ -339,7 +339,7 @@ theorem ofEquiv_uncurry_def (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor
     [MonoidalClosed D] {X Y Z : C}
     (f : Y ⟶ (@ihom _ _ _ X <| (MonoidalClosed.ofEquiv F).1 X).obj Z) :
     @MonoidalClosed.uncurry _ _ _ _ _ _ ((MonoidalClosed.ofEquiv F).1 _) f =
-      (F.commTensorLeft X).compInvIso.inv.app Y ≫
+      ((F.commTensorLeft X).compInvIso).inv.app Y ≫
         (F.1.1.inv.adjunction.homEquiv (F.1.1.obj X ⊗ F.1.1.obj Y) Z).symm
           (MonoidalClosed.uncurry
             ((F.1.1.adjunction.homEquiv Y ((ihom (F.1.1.obj X)).obj (F.1.1.obj Z))).symm f)) :=

0caf3701

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

00c3cd40

Diff

@@ -134,12 +134,12 @@ notation A " ⟶[" C "] " B:10 => (@ihom C _ _ A _).obj B
 
 @[reassoc (attr := simp)]
 theorem ev_coev : (𝟙 A ⊗ (coev A).app B) ≫ (ev A).app (A ⊗ B) = 𝟙 (A ⊗ B) :=
-  Adjunction.left_triangle_components (ihom.adjunction A)
+  Adjunction.left_triangle_components (ihom.adjunction A) _
 #align category_theory.ihom.ev_coev CategoryTheory.ihom.ev_coev
 
 @[reassoc (attr := simp)]
 theorem coev_ev : (coev A).app (A ⟶[C] B) ≫ (ihom A).map ((ev A).app B) = 𝟙 (A ⟶[C] B) :=
-  Adjunction.right_triangle_components (ihom.adjunction A)
+  Adjunction.right_triangle_components (ihom.adjunction A) _
 #align category_theory.ihom.coev_ev CategoryTheory.ihom.coev_ev
 
 end ihom

0caf3701

refactor: move natural isomorphisms involving inverses of equivalences (#10278)

Move all results from CategoryTheory/Functor/InvIsos.lean to CategoryTheory/Equivalence.lean and delete the former file
Replace use of eqToIso (Functor.comp_id G) with G.rightUnitor
Move into Iso namespace to enable dot notation
Add analogous results stated in terms of Equivalence instead of IsEquivalence

3eb9163a

Diff

@@ -6,7 +6,6 @@ Authors: Scott Morrison, Bhavik Mehta
 import Mathlib.CategoryTheory.Monoidal.Functor
 import Mathlib.CategoryTheory.Adjunction.Limits
 import Mathlib.CategoryTheory.Adjunction.Mates
-import Mathlib.CategoryTheory.Functor.InvIsos
 
 #align_import category_theory.closed.monoidal from "leanprover-community/mathlib"@"0caf3701139ef2e69c215717665361cda205a90b"
 
@@ -312,7 +311,7 @@ noncomputable def ofEquiv (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
     { isAdj := by
         haveI q : Closed (F.obj X) := inferInstance
         haveI : IsLeftAdjoint (tensorLeft (F.obj X)) := q.isAdj
-        have i := compInvIso (MonoidalFunctor.commTensorLeft F X)
+        have i := (MonoidalFunctor.commTensorLeft F X).compInvIso
         exact Adjunction.leftAdjointOfNatIso i }
 #align category_theory.monoidal_closed.of_equiv CategoryTheory.MonoidalClosed.ofEquiv
 
@@ -327,7 +326,7 @@ theorem ofEquiv_curry_def (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
       (F.1.1.adjunction.homEquiv Y ((ihom _).obj _))
         (MonoidalClosed.curry
           (F.1.1.inv.adjunction.homEquiv (F.1.1.obj X ⊗ F.1.1.obj Y) Z
-            ((compInvIso (F.commTensorLeft X)).hom.app Y ≫ f))) :=
+            ((F.commTensorLeft X).compInvIso.hom.app Y ≫ f))) :=
   rfl
 #align category_theory.monoidal_closed.of_equiv_curry_def CategoryTheory.MonoidalClosed.ofEquiv_curry_def
 
@@ -340,7 +339,7 @@ theorem ofEquiv_uncurry_def (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor
     [MonoidalClosed D] {X Y Z : C}
     (f : Y ⟶ (@ihom _ _ _ X <| (MonoidalClosed.ofEquiv F).1 X).obj Z) :
     @MonoidalClosed.uncurry _ _ _ _ _ _ ((MonoidalClosed.ofEquiv F).1 _) f =
-      (compInvIso (F.commTensorLeft X)).inv.app Y ≫
+      (F.commTensorLeft X).compInvIso.inv.app Y ≫
         (F.1.1.inv.adjunction.homEquiv (F.1.1.obj X ⊗ F.1.1.obj Y) Z).symm
           (MonoidalClosed.uncurry
             ((F.1.1.adjunction.homEquiv Y ((ihom (F.1.1.obj X)).obj (F.1.1.obj Z))).symm f)) :=

0caf3701

Revert "chore: revert #7703 (#7710)"

This reverts commit f3695eb2.

ab56fa28

Diff

@@ -73,7 +73,11 @@ def unitClosed : Closed (𝟙_ C) where
                 right_inv := by aesop_cat }
             homEquiv_naturality_left_symm := fun f g => by
               dsimp
-              rw [leftUnitor_naturality_assoc] } }
+              rw [leftUnitor_naturality_assoc]
+            -- This used to be automatic before leanprover/lean4#2644
+            homEquiv_naturality_right := by  -- aesop failure
+              dsimp
+              simp }}
 #align category_theory.unit_closed CategoryTheory.unitClosed
 
 variable (A B : C) {X X' Y Y' Z : C}
@@ -161,12 +165,14 @@ def uncurry : (Y ⟶ A ⟶[C] X) → (A ⊗ Y ⟶ X) :=
   ((ihom.adjunction A).homEquiv _ _).symm
 #align category_theory.monoidal_closed.uncurry CategoryTheory.MonoidalClosed.uncurry
 
-@[simp]
+-- This lemma has always been bad, but the linter only noticed after lean4#2644.
+@[simp, nolint simpNF]
 theorem homEquiv_apply_eq (f : A ⊗ Y ⟶ X) : (ihom.adjunction A).homEquiv _ _ f = curry f :=
   rfl
 #align category_theory.monoidal_closed.hom_equiv_apply_eq CategoryTheory.MonoidalClosed.homEquiv_apply_eq
 
-@[simp]
+-- This lemma has always been bad, but the linter only noticed after lean4#2644.
+@[simp, nolint simpNF]
 theorem homEquiv_symm_apply_eq (f : Y ⟶ A ⟶[C] X) :
     ((ihom.adjunction A).homEquiv _ _).symm f = uncurry f :=
   rfl
@@ -343,5 +349,6 @@ theorem ofEquiv_uncurry_def (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor
 end OfEquiv
 
 end MonoidalClosed
-
+attribute [nolint simpNF] CategoryTheory.MonoidalClosed.homEquiv_apply_eq
+  CategoryTheory.MonoidalClosed.homEquiv_symm_apply_eq
 end CategoryTheory

0caf3701

chore: revert #7703 (#7710)

This reverts commit 26eb2b0a.

f3695eb2

Diff

@@ -73,11 +73,7 @@ def unitClosed : Closed (𝟙_ C) where
                 right_inv := by aesop_cat }
             homEquiv_naturality_left_symm := fun f g => by
               dsimp
-              rw [leftUnitor_naturality_assoc]
-            -- This used to be automatic before leanprover/lean4#2644
-            homEquiv_naturality_right := by  -- aesop failure
-              dsimp
-              simp }}
+              rw [leftUnitor_naturality_assoc] } }
 #align category_theory.unit_closed CategoryTheory.unitClosed
 
 variable (A B : C) {X X' Y Y' Z : C}
@@ -165,14 +161,12 @@ def uncurry : (Y ⟶ A ⟶[C] X) → (A ⊗ Y ⟶ X) :=
   ((ihom.adjunction A).homEquiv _ _).symm
 #align category_theory.monoidal_closed.uncurry CategoryTheory.MonoidalClosed.uncurry
 
--- This lemma has always been bad, but the linter only noticed after lean4#2644.
-@[simp, nolint simpNF]
+@[simp]
 theorem homEquiv_apply_eq (f : A ⊗ Y ⟶ X) : (ihom.adjunction A).homEquiv _ _ f = curry f :=
   rfl
 #align category_theory.monoidal_closed.hom_equiv_apply_eq CategoryTheory.MonoidalClosed.homEquiv_apply_eq
 
--- This lemma has always been bad, but the linter only noticed after lean4#2644.
-@[simp, nolint simpNF]
+@[simp]
 theorem homEquiv_symm_apply_eq (f : Y ⟶ A ⟶[C] X) :
     ((ihom.adjunction A).homEquiv _ _).symm f = uncurry f :=
   rfl
@@ -349,6 +343,5 @@ theorem ofEquiv_uncurry_def (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor
 end OfEquiv
 
 end MonoidalClosed
-attribute [nolint simpNF] CategoryTheory.MonoidalClosed.homEquiv_apply_eq
-  CategoryTheory.MonoidalClosed.homEquiv_symm_apply_eq
+
 end CategoryTheory

0caf3701

chore: bump toolchain to v4.2.0-rc2 (#7703)

This includes all the changes from #7606.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

26eb2b0a

Diff

@@ -73,7 +73,11 @@ def unitClosed : Closed (𝟙_ C) where
                 right_inv := by aesop_cat }
             homEquiv_naturality_left_symm := fun f g => by
               dsimp
-              rw [leftUnitor_naturality_assoc] } }
+              rw [leftUnitor_naturality_assoc]
+            -- This used to be automatic before leanprover/lean4#2644
+            homEquiv_naturality_right := by  -- aesop failure
+              dsimp
+              simp }}
 #align category_theory.unit_closed CategoryTheory.unitClosed
 
 variable (A B : C) {X X' Y Y' Z : C}
@@ -161,12 +165,14 @@ def uncurry : (Y ⟶ A ⟶[C] X) → (A ⊗ Y ⟶ X) :=
   ((ihom.adjunction A).homEquiv _ _).symm
 #align category_theory.monoidal_closed.uncurry CategoryTheory.MonoidalClosed.uncurry
 
-@[simp]
+-- This lemma has always been bad, but the linter only noticed after lean4#2644.
+@[simp, nolint simpNF]
 theorem homEquiv_apply_eq (f : A ⊗ Y ⟶ X) : (ihom.adjunction A).homEquiv _ _ f = curry f :=
   rfl
 #align category_theory.monoidal_closed.hom_equiv_apply_eq CategoryTheory.MonoidalClosed.homEquiv_apply_eq
 
-@[simp]
+-- This lemma has always been bad, but the linter only noticed after lean4#2644.
+@[simp, nolint simpNF]
 theorem homEquiv_symm_apply_eq (f : Y ⟶ A ⟶[C] X) :
     ((ihom.adjunction A).homEquiv _ _).symm f = uncurry f :=
   rfl
@@ -343,5 +349,6 @@ theorem ofEquiv_uncurry_def (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor
 end OfEquiv
 
 end MonoidalClosed
-
+attribute [nolint simpNF] CategoryTheory.MonoidalClosed.homEquiv_apply_eq
+  CategoryTheory.MonoidalClosed.homEquiv_symm_apply_eq
 end CategoryTheory

0caf3701

style: fix wrapping of where (#7149)

084cfb35

Diff

@@ -301,8 +301,8 @@ variable {D : Type u₂} [Category.{v₂} D] [MonoidalCategory.{v₂} D]
 
 /-- Transport the property of being monoidal closed across a monoidal equivalence of categories -/
 noncomputable def ofEquiv (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
-    [h : MonoidalClosed D] : MonoidalClosed C
-    where closed X :=
+    [h : MonoidalClosed D] : MonoidalClosed C where
+  closed X :=
     { isAdj := by
         haveI q : Closed (F.obj X) := inferInstance
         haveI : IsLeftAdjoint (tensorLeft (F.obj X)) := q.isAdj

0caf3701

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

89aa3a3b

Diff

@@ -2,17 +2,14 @@
 Copyright (c) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison, Bhavik Mehta
-
-! This file was ported from Lean 3 source module category_theory.closed.monoidal
-! leanprover-community/mathlib commit 0caf3701139ef2e69c215717665361cda205a90b
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Monoidal.Functor
 import Mathlib.CategoryTheory.Adjunction.Limits
 import Mathlib.CategoryTheory.Adjunction.Mates
 import Mathlib.CategoryTheory.Functor.InvIsos
 
+#align_import category_theory.closed.monoidal from "leanprover-community/mathlib"@"0caf3701139ef2e69c215717665361cda205a90b"
+
 /-!
 # Closed monoidal categories

0caf3701

chore: review of automation in category theory (#4793)

Clean up of automation in the category theory library. Leaving out unnecessary proof steps, or fields done by aesop_cat, and making more use of available autoparameters.

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

5b958613

Diff

@@ -64,8 +64,8 @@ def tensorClosed {X Y : C} (hX : Closed X) (hY : Closed Y) : Closed (X ⊗ Y) wh
 This isn't an instance because most of the time we'll prove closedness for all objects at once,
 rather than just for this one.
 -/
-def unitClosed : Closed (𝟙_ C)
-    where isAdj :=
+def unitClosed : Closed (𝟙_ C) where
+  isAdj :=
     { right := 𝟭 C
       adj :=
         Adjunction.mkOfHomEquiv

0caf3701

chore: port missing instance priorities (#3613)

See discussion at https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/mathport.20drops.20priorities.20in.20.60attribute.20.5Binstance.5D.60. mathport has been dropping the priorities on instances when using the attribute command.

This PR adds back all the priorities, except for local attribute, and instances involving coercions, which I didn't want to mess with.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

b0c1460c

Diff

@@ -45,7 +45,7 @@ class MonoidalClosed (C : Type u) [Category.{v} C] [MonoidalCategory.{v} C] wher
   closed : ∀ X : C, Closed X
 #align category_theory.monoidal_closed CategoryTheory.MonoidalClosed
 
-attribute [instance] MonoidalClosed.closed
+attribute [instance 100] MonoidalClosed.closed
 
 variable {C : Type u} [Category.{v} C] [MonoidalCategory.{v} C]

0caf3701

feat: forward-port #18148 (#3104)

Co-authored-by: 101damnations <101damnations@github.com> Co-authored-by: Scott Morrison <scott@tqft.net>

db7172dc

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison, Bhavik Mehta
 
 ! This file was ported from Lean 3 source module category_theory.closed.monoidal
-! leanprover-community/mathlib commit c0e00a871b9f6d3aca7c10fb3abdc8720a2c5313
+! leanprover-community/mathlib commit 0caf3701139ef2e69c215717665361cda205a90b
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -313,6 +313,36 @@ noncomputable def ofEquiv (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
         exact Adjunction.leftAdjointOfNatIso i }
 #align category_theory.monoidal_closed.of_equiv CategoryTheory.MonoidalClosed.ofEquiv
 
+/-- Suppose we have a monoidal equivalence `F : C ≌ D`, with `D` monoidal closed. We can pull the
+monoidal closed instance back along the equivalence. For `X, Y, Z : C`, this lemma describes the
+resulting currying map `Hom(X ⊗ Y, Z) → Hom(Y, (X ⟶[C] Z))`. (`X ⟶[C] Z` is defined to be
+`F⁻¹(F(X) ⟶[D] F(Z))`, so currying in `C` is given by essentially conjugating currying in
+`D` by `F.`) -/
+theorem ofEquiv_curry_def (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
+    [MonoidalClosed D] {X Y Z : C} (f : X ⊗ Y ⟶ Z) :
+    @MonoidalClosed.curry _ _ _ _ _ _ ((MonoidalClosed.ofEquiv F).1 _) f =
+      (F.1.1.adjunction.homEquiv Y ((ihom _).obj _))
+        (MonoidalClosed.curry
+          (F.1.1.inv.adjunction.homEquiv (F.1.1.obj X ⊗ F.1.1.obj Y) Z
+            ((compInvIso (F.commTensorLeft X)).hom.app Y ≫ f))) :=
+  rfl
+#align category_theory.monoidal_closed.of_equiv_curry_def CategoryTheory.MonoidalClosed.ofEquiv_curry_def
+
+/-- Suppose we have a monoidal equivalence `F : C ≌ D`, with `D` monoidal closed. We can pull the
+monoidal closed instance back along the equivalence. For `X, Y, Z : C`, this lemma describes the
+resulting uncurrying map `Hom(Y, (X ⟶[C] Z)) → Hom(X ⊗ Y ⟶ Z)`. (`X ⟶[C] Z` is
+defined to be `F⁻¹(F(X) ⟶[D] F(Z))`, so uncurrying in `C` is given by essentially conjugating
+uncurrying in `D` by `F.`) -/
+theorem ofEquiv_uncurry_def (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor]
+    [MonoidalClosed D] {X Y Z : C}
+    (f : Y ⟶ (@ihom _ _ _ X <| (MonoidalClosed.ofEquiv F).1 X).obj Z) :
+    @MonoidalClosed.uncurry _ _ _ _ _ _ ((MonoidalClosed.ofEquiv F).1 _) f =
+      (compInvIso (F.commTensorLeft X)).inv.app Y ≫
+        (F.1.1.inv.adjunction.homEquiv (F.1.1.obj X ⊗ F.1.1.obj Y) Z).symm
+          (MonoidalClosed.uncurry
+            ((F.1.1.adjunction.homEquiv Y ((ihom (F.1.1.obj X)).obj (F.1.1.obj Z))).symm f)) :=
+  rfl
+#align category_theory.monoidal_closed.of_equiv_uncurry_def CategoryTheory.MonoidalClosed.ofEquiv_uncurry_def
 end OfEquiv
 
 end MonoidalClosed

c0e00a87

feat: port CategoryTheory.Closed.Monoidal (#3002)

4fb0f4b5

`category_theory.closed.monoidal` ⟷ `Mathlib.CategoryTheory.Closed.Monoidal`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 1 + 99

category_theory.closed.monoidal ⟷ Mathlib.CategoryTheory.Closed.Monoidal

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 1 + 99

`category_theory.closed.monoidal` ⟷ `Mathlib.CategoryTheory.Closed.Monoidal`