category_theory.monoidal.functorial | 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

73dd4b54

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

ee05e9ce

bump to nightly-2024-02-05-08

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

516c6ec2

Diff

@@ -51,8 +51,8 @@ variable {C : Type u₁} [Category.{v₁} C] [MonoidalCategory.{v₁} C] {D : Ty
   [MonoidalCategory.{v₂} D]
 
 #print CategoryTheory.LaxMonoidal /-
-/- ./././Mathport/Syntax/Translate/Command.lean:404:30: infer kinds are unsupported in Lean 4: #[`ε] [] -/
-/- ./././Mathport/Syntax/Translate/Command.lean:404:30: infer kinds are unsupported in Lean 4: #[`μ] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:400:30: infer kinds are unsupported in Lean 4: #[`ε] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:400:30: infer kinds are unsupported in Lean 4: #[`μ] [] -/
 /- ./././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 -/

ee05e9ce

bump to nightly-2023-12-23-06

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

b8c74971

Diff

@@ -51,8 +51,8 @@ variable {C : Type u₁} [Category.{v₁} C] [MonoidalCategory.{v₁} C] {D : Ty
   [MonoidalCategory.{v₂} D]
 
 #print CategoryTheory.LaxMonoidal /-
-/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`ε] [] -/
-/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`μ] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:404:30: infer kinds are unsupported in Lean 4: #[`ε] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:404:30: infer kinds are unsupported in Lean 4: #[`μ] [] -/
 /- ./././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 -/

ee05e9ce

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2019 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathbin.CategoryTheory.Monoidal.Functor
-import Mathbin.CategoryTheory.Functor.Functorial
+import CategoryTheory.Monoidal.Functor
+import CategoryTheory.Functor.Functorial
 
 #align_import category_theory.monoidal.functorial from "leanprover-community/mathlib"@"ee05e9ce1322178f0c12004eb93c00d2c8c00ed2"
 
@@ -51,8 +51,8 @@ variable {C : Type u₁} [Category.{v₁} C] [MonoidalCategory.{v₁} C] {D : Ty
   [MonoidalCategory.{v₂} D]
 
 #print CategoryTheory.LaxMonoidal /-
-/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`ε] [] -/
-/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`μ] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`ε] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`μ] [] -/
 /- ./././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 -/

ee05e9ce

bump to nightly-2023-09-06-06

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

f3106448

Diff

@@ -89,18 +89,10 @@ class LaxMonoidal (F : C → D) [Functorial.{v₁, v₂} F] where
 #align category_theory.lax_monoidal CategoryTheory.LaxMonoidal
 -/
 
-restate_axiom lax_monoidal.μ_natural'
-
 attribute [simp] lax_monoidal.μ_natural
 
-restate_axiom lax_monoidal.left_unitality'
-
-restate_axiom lax_monoidal.right_unitality'
-
 -- The unitality axioms cannot be used as simp lemmas because they require
 -- higher-order matching to figure out the `F` and `X` from `F X`.
-restate_axiom lax_monoidal.associativity'
-
 attribute [simp] lax_monoidal.associativity
 
 namespace LaxMonoidalFunctor

ee05e9ce

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2019 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module category_theory.monoidal.functorial
-! leanprover-community/mathlib commit ee05e9ce1322178f0c12004eb93c00d2c8c00ed2
-! 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.Functor.Functorial
 
+#align_import category_theory.monoidal.functorial from "leanprover-community/mathlib"@"ee05e9ce1322178f0c12004eb93c00d2c8c00ed2"
+
 /-!
 # Unbundled lax monoidal functors

ee05e9ce

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -54,8 +54,8 @@ variable {C : Type u₁} [Category.{v₁} C] [MonoidalCategory.{v₁} C] {D : Ty
   [MonoidalCategory.{v₂} D]
 
 #print CategoryTheory.LaxMonoidal /-
-/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`ε] [] -/
-/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`μ] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`ε] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`μ] [] -/
 /- ./././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 -/

ee05e9ce

bump to nightly-2023-06-04-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/5f25c089cb34db4db112556f23c50d12da81b297

3fb4268b

Diff

@@ -54,8 +54,8 @@ variable {C : Type u₁} [Category.{v₁} C] [MonoidalCategory.{v₁} C] {D : Ty
   [MonoidalCategory.{v₂} D]
 
 #print CategoryTheory.LaxMonoidal /-
-/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`ε] [] -/
-/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`μ] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`ε] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`μ] [] -/
 /- ./././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 -/

ee05e9ce

bump to nightly-2023-04-24-06

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

ff662d55

Diff

@@ -54,8 +54,8 @@ variable {C : Type u₁} [Category.{v₁} C] [MonoidalCategory.{v₁} C] {D : Ty
   [MonoidalCategory.{v₂} D]
 
 #print CategoryTheory.LaxMonoidal /-
-/- ./././Mathport/Syntax/Translate/Command.lean:388:30: infer kinds are unsupported in Lean 4: #[`ε] [] -/
-/- ./././Mathport/Syntax/Translate/Command.lean:388:30: infer kinds are unsupported in Lean 4: #[`μ] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`ε] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`μ] [] -/
 /- ./././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 -/

ee05e9ce

bump to nightly-2023-03-02-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/195fcd60ff2bfe392543bceb0ec2adcdb472db4c

db7421c3

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 
 ! This file was ported from Lean 3 source module category_theory.monoidal.functorial
-! leanprover-community/mathlib commit 73dd4b5411ec8fafb18a9d77c9c826907730af80
+! leanprover-community/mathlib commit ee05e9ce1322178f0c12004eb93c00d2c8c00ed2
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.CategoryTheory.Functor.Functorial
 /-!
 # Unbundled lax monoidal functors
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 ## Design considerations
 The essential problem I've encountered that requires unbundled functors is
 having an existing (non-monoidal) functor `F : C ⥤ D` between monoidal categories,

73dd4b54

bump to nightly-2023-02-27-12

mathlib commit https://github.com/leanprover-community/mathlib/commit/eb0cb4511aaef0da2462207b67358a0e1fe1e2ee

ba3800c0

Diff

@@ -50,6 +50,7 @@ open MonoidalCategory
 variable {C : Type u₁} [Category.{v₁} C] [MonoidalCategory.{v₁} C] {D : Type u₂} [Category.{v₂} D]
   [MonoidalCategory.{v₂} D]
 
+#print CategoryTheory.LaxMonoidal /-
 /- ./././Mathport/Syntax/Translate/Command.lean:388:30: infer kinds are unsupported in Lean 4: #[`ε] [] -/
 /- ./././Mathport/Syntax/Translate/Command.lean:388:30: infer kinds are unsupported in Lean 4: #[`μ] [] -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
@@ -86,6 +87,7 @@ class LaxMonoidal (F : C → D) [Functorial.{v₁, v₂} F] where
   right_unitality' : ∀ X : C, (ρ_ (F X)).Hom = (𝟙 (F X) ⊗ ε) ≫ μ X (𝟙_ C) ≫ map F (ρ_ X).Hom := by
     obviously
 #align category_theory.lax_monoidal CategoryTheory.LaxMonoidal
+-/
 
 restate_axiom lax_monoidal.μ_natural'
 
@@ -103,6 +105,7 @@ attribute [simp] lax_monoidal.associativity
 
 namespace LaxMonoidalFunctor
 
+#print CategoryTheory.LaxMonoidalFunctor.of /-
 /-- Construct a bundled `lax_monoidal_functor` from the object level function
 and `functorial` and `lax_monoidal` typeclasses.
 -/
@@ -111,6 +114,7 @@ def of (F : C → D) [I₁ : Functorial.{v₁, v₂} F] [I₂ : LaxMonoidal.{v
     LaxMonoidalFunctor.{v₁, v₂} C D :=
   { I₁, I₂ with obj := F }
 #align category_theory.lax_monoidal_functor.of CategoryTheory.LaxMonoidalFunctor.of
+-/
 
 end LaxMonoidalFunctor
 
@@ -119,11 +123,13 @@ instance (F : LaxMonoidalFunctor.{v₁, v₂} C D) : LaxMonoidal.{v₁, v₂} F.
 
 section
 
+#print CategoryTheory.laxMonoidalId /-
 instance laxMonoidalId : LaxMonoidal.{v₁, v₁} (id : C → C)
     where
   ε := 𝟙 _
   μ X Y := 𝟙 _
 #align category_theory.lax_monoidal_id CategoryTheory.laxMonoidalId
+-/
 
 end

73dd4b54

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

73dd4b54

chore: remove tactics (#11365)

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

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

c33c2724

Diff

@@ -103,11 +103,11 @@ abbrev LaxMonoidal.ofTensorHom (F : C → D) [Functorial.{v₁, v₂} F]
       LaxMonoidal.{v₁, v₂} F where
   ε := ε
   μ := μ
-  μ_natural_left f X := by intros; simpa using μ_natural f (𝟙 X)
-  μ_natural_right X f := by intros; simpa using μ_natural (𝟙 X) f
-  associativity X Y Z := by intros; simpa using associativity X Y Z
-  left_unitality X := by intros; simpa using left_unitality X
-  right_unitality X := by intros; simpa using right_unitality X
+  μ_natural_left f X := by simpa using μ_natural f (𝟙 X)
+  μ_natural_right X f := by simpa using μ_natural (𝟙 X) f
+  associativity X Y Z := by simpa using associativity X Y Z
+  left_unitality X := by simpa using left_unitality X
+  right_unitality X := by simpa using right_unitality X
 
 attribute [simp, nolint simpNF] LaxMonoidal.μ_natural_left LaxMonoidal.μ_natural_right

73dd4b54

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

@@ -57,24 +57,24 @@ class LaxMonoidal (F : C → D) [Functorial.{v₁, v₂} F] where
   μ : ∀ X Y : C, F X ⊗ F Y ⟶ F (X ⊗ Y)
   μ_natural_left :
     ∀ {X Y : C} (f : X ⟶ Y) (X' : C),
-      (map F f ⊗ 𝟙 (F X')) ≫ μ Y X' = μ X X' ≫ map F (f ⊗ 𝟙 X') := by
+      map F f ▷ F X' ≫ μ Y X' = μ X X' ≫ map F (f ▷ X') := by
     aesop_cat
   μ_natural_right :
     ∀ {X Y : C} (X' : C) (f : X ⟶ Y) ,
-      (𝟙 (F X') ⊗ map F f) ≫ μ X' Y = μ X' X ≫ map F (𝟙 X' ⊗ f) := by
+      F X' ◁ map F f ≫ μ X' Y = μ X' X ≫ map F (X' ◁ f) := by
     aesop_cat
   /-- associativity of the tensorator -/
   associativity :
     ∀ X Y Z : C,
-      (μ X Y ⊗ 𝟙 (F Z)) ≫ μ (X ⊗ Y) Z ≫ map F (α_ X Y Z).hom =
-        (α_ (F X) (F Y) (F Z)).hom ≫ (𝟙 (F X) ⊗ μ Y Z) ≫ μ X (Y ⊗ Z) := by
+      μ X Y ▷ F Z ≫ μ (X ⊗ Y) Z ≫ map F (α_ X Y Z).hom =
+        (α_ (F X) (F Y) (F Z)).hom ≫ F X ◁ μ Y Z ≫ μ X (Y ⊗ Z) := by
     aesop_cat
   /-- left unitality -/
-  left_unitality : ∀ X : C, (λ_ (F X)).hom = (ε ⊗ 𝟙 (F X)) ≫ μ (𝟙_ C) X ≫ map F (λ_ X).hom := by
-    aesop_cat
+  left_unitality : ∀ X : C, (λ_ (F X)).hom = ε ▷ F X ≫ μ (𝟙_ C) X ≫ map F (λ_ X).hom :=
+    by aesop_cat
   /-- right unitality -/
-  right_unitality : ∀ X : C, (ρ_ (F X)).hom = (𝟙 (F X) ⊗ ε) ≫ μ X (𝟙_ C) ≫ map F (ρ_ X).hom := by
-    aesop_cat
+  right_unitality : ∀ X : C, (ρ_ (F X)).hom = F X ◁ ε ≫ μ X (𝟙_ C) ≫ map F (ρ_ X).hom :=
+    by aesop_cat
 #align category_theory.lax_monoidal CategoryTheory.LaxMonoidal
 
 /-- An unbundled description of lax monoidal functors. -/

73dd4b54

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

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

2e59248d

Diff

@@ -55,11 +55,14 @@ class LaxMonoidal (F : C → D) [Functorial.{v₁, v₂} F] where
   ε : 𝟙_ D ⟶ F (𝟙_ C)
   /-- tensorator -/
   μ : ∀ X Y : C, F X ⊗ F Y ⟶ F (X ⊗ Y)
-  /-- naturality -/
-  μ_natural :
-    ∀ {X Y X' Y' : C} (f : X ⟶ Y) (g : X' ⟶ Y'),
-      (map F f ⊗ map F g) ≫ μ Y Y' = μ X X' ≫ map F (f ⊗ g) := by
-   aesop_cat
+  μ_natural_left :
+    ∀ {X Y : C} (f : X ⟶ Y) (X' : C),
+      (map F f ⊗ 𝟙 (F X')) ≫ μ Y X' = μ X X' ≫ map F (f ⊗ 𝟙 X') := by
+    aesop_cat
+  μ_natural_right :
+    ∀ {X Y : C} (X' : C) (f : X ⟶ Y) ,
+      (𝟙 (F X') ⊗ map F f) ≫ μ X' Y = μ X' X ≫ map F (𝟙 X' ⊗ f) := by
+    aesop_cat
   /-- associativity of the tensorator -/
   associativity :
     ∀ X Y Z : C,
@@ -74,9 +77,39 @@ class LaxMonoidal (F : C → D) [Functorial.{v₁, v₂} F] where
     aesop_cat
 #align category_theory.lax_monoidal CategoryTheory.LaxMonoidal
 
-attribute [simp] LaxMonoidal.μ_natural
-
-attribute [simp] LaxMonoidal.μ_natural
+/-- An unbundled description of lax monoidal functors. -/
+abbrev LaxMonoidal.ofTensorHom (F : C → D) [Functorial.{v₁, v₂} F]
+    /- unit morphism -/
+    (ε : 𝟙_ D ⟶ F (𝟙_ C))
+    /- tensorator -/
+    (μ : ∀ X Y : C, F X ⊗ F Y ⟶ F (X ⊗ Y))
+    /- naturality -/
+    (μ_natural :
+      ∀ {X Y X' Y' : C} (f : X ⟶ Y) (g : X' ⟶ Y'),
+        (map F f ⊗ map F g) ≫ μ Y Y' = μ X X' ≫ map F (f ⊗ g) := by
+    aesop_cat)
+    /- associativity of the tensorator -/
+    (associativity :
+      ∀ X Y Z : C,
+        (μ X Y ⊗ 𝟙 (F Z)) ≫ μ (X ⊗ Y) Z ≫ map F (α_ X Y Z).hom =
+          (α_ (F X) (F Y) (F Z)).hom ≫ (𝟙 (F X) ⊗ μ Y Z) ≫ μ X (Y ⊗ Z) := by
+      aesop_cat)
+    /- left unitality -/
+    (left_unitality : ∀ X : C, (λ_ (F X)).hom = (ε ⊗ 𝟙 (F X)) ≫ μ (𝟙_ C) X ≫ map F (λ_ X).hom := by
+      aesop_cat)
+    /- right unitality -/
+    (right_unitality : ∀ X : C, (ρ_ (F X)).hom = (𝟙 (F X) ⊗ ε) ≫ μ X (𝟙_ C) ≫ map F (ρ_ X).hom := by
+      aesop_cat) :
+      LaxMonoidal.{v₁, v₂} F where
+  ε := ε
+  μ := μ
+  μ_natural_left f X := by intros; simpa using μ_natural f (𝟙 X)
+  μ_natural_right X f := by intros; simpa using μ_natural (𝟙 X) f
+  associativity X Y Z := by intros; simpa using associativity X Y Z
+  left_unitality X := by intros; simpa using left_unitality X
+  right_unitality X := by intros; simpa using right_unitality X
+
+attribute [simp, nolint simpNF] LaxMonoidal.μ_natural_left LaxMonoidal.μ_natural_right
 
 -- The unitality axioms cannot be used as simp lemmas because they require
 -- higher-order matching to figure out the `F` and `X` from `F X`.

73dd4b54

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

depends on: #5966

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

89aa3a3b

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2019 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module category_theory.monoidal.functorial
-! leanprover-community/mathlib commit 73dd4b5411ec8fafb18a9d77c9c826907730af80
-! 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.Functor.Functorial
 
+#align_import category_theory.monoidal.functorial from "leanprover-community/mathlib"@"73dd4b5411ec8fafb18a9d77c9c826907730af80"
+
 /-!
 # Unbundled lax monoidal functors

73dd4b54

chore: fix many typos (#4967)

These are all doc fixes

6f9e51c3

Diff

@@ -58,7 +58,7 @@ class LaxMonoidal (F : C → D) [Functorial.{v₁, v₂} F] where
   ε : 𝟙_ D ⟶ F (𝟙_ C)
   /-- tensorator -/
   μ : ∀ X Y : C, F X ⊗ F Y ⟶ F (X ⊗ Y)
-  /-- natuality -/
+  /-- naturality -/
   μ_natural :
     ∀ {X Y X' Y' : C} (f : X ⟶ Y) (g : X' ⟶ Y'),
       (map F f ⊗ map F g) ≫ μ Y Y' = μ X X' ≫ map F (f ⊗ g) := by

73dd4b54

feat: port CategoryTheory.Monoidal.Functorial (#2504)

Co-authored-by: Moritz Firsching <firsching@google.com>

219bbfb8

`category_theory.monoidal.functorial` ⟷ `Mathlib.CategoryTheory.Monoidal.Functorial`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 19

category_theory.monoidal.functorial ⟷ Mathlib.CategoryTheory.Monoidal.Functorial

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 19

`category_theory.monoidal.functorial` ⟷ `Mathlib.CategoryTheory.Monoidal.Functorial`