algebra.category.Module.monoidal.symmetric

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

74403a3b

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

36938f77

bump to nightly-2024-04-06-08

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

e34029c9

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kevin Buzzard, Scott Morrison, Jakob von Raumer
 -/
-import CategoryTheory.Monoidal.Braided
-import Algebra.Category.Module.Monoidal.Basic
+import CategoryTheory.Monoidal.Braided.Basic
+import Algebra.Category.ModuleCat.Monoidal.Basic
 
 #align_import algebra.category.Module.monoidal.symmetric from "leanprover-community/mathlib"@"36938f775671ff28bea1c0310f1608e4afbb22e0"

36938f77

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) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kevin Buzzard, Scott Morrison, Jakob von Raumer
 -/
-import Mathbin.CategoryTheory.Monoidal.Braided
-import Mathbin.Algebra.Category.Module.Monoidal.Basic
+import CategoryTheory.Monoidal.Braided
+import Algebra.Category.Module.Monoidal.Basic
 
 #align_import algebra.category.Module.monoidal.symmetric from "leanprover-community/mathlib"@"36938f775671ff28bea1c0310f1608e4afbb22e0"

36938f77

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) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kevin Buzzard, Scott Morrison, Jakob von Raumer
-
-! This file was ported from Lean 3 source module algebra.category.Module.monoidal.symmetric
-! leanprover-community/mathlib commit 36938f775671ff28bea1c0310f1608e4afbb22e0
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Monoidal.Braided
 import Mathbin.Algebra.Category.Module.Monoidal.Basic
 
+#align_import algebra.category.Module.monoidal.symmetric from "leanprover-community/mathlib"@"36938f775671ff28bea1c0310f1608e4afbb22e0"
+
 /-!
 # The symmetric monoidal structure on `Module R`.

36938f77

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -95,19 +95,23 @@ instance symmetricCategory : SymmetricCategory (ModuleCat.{u} R)
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print ModuleCat.MonoidalCategory.braiding_hom_apply /-
 @[simp]
 theorem braiding_hom_apply {M N : ModuleCat.{u} R} (m : M) (n : N) :
     ((β_ M N).Hom : M ⊗ N ⟶ N ⊗ M) (m ⊗ₜ n) = n ⊗ₜ m :=
   rfl
 #align Module.monoidal_category.braiding_hom_apply ModuleCat.MonoidalCategory.braiding_hom_apply
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print ModuleCat.MonoidalCategory.braiding_inv_apply /-
 @[simp]
 theorem braiding_inv_apply {M N : ModuleCat.{u} R} (m : M) (n : N) :
     ((β_ M N).inv : N ⊗ M ⟶ M ⊗ N) (n ⊗ₜ m) = m ⊗ₜ n :=
   rfl
 #align Module.monoidal_category.braiding_inv_apply ModuleCat.MonoidalCategory.braiding_inv_apply
+-/
 
 end MonoidalCategory

36938f77

bump to nightly-2023-06-07-03

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

831e78ce

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kevin Buzzard, Scott Morrison, Jakob von Raumer
 
 ! This file was ported from Lean 3 source module algebra.category.Module.monoidal.symmetric
-! leanprover-community/mathlib commit 74403a3b2551b0970855e14ef5e8fd0d6af1bfc2
+! leanprover-community/mathlib commit 36938f775671ff28bea1c0310f1608e4afbb22e0
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.Algebra.Category.Module.Monoidal.Basic
 
 /-!
 # The symmetric monoidal structure on `Module R`.
+
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
 -/

74403a3b

bump to nightly-2023-06-05-12

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

d07076be

Diff

@@ -26,15 +26,18 @@ variable {R : Type u} [CommRing R]
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print ModuleCat.braiding /-
 /-- (implementation) the braiding for R-modules -/
 def braiding (M N : ModuleCat.{u} R) : M ⊗ N ≅ N ⊗ M :=
   LinearEquiv.toModuleIso (TensorProduct.comm R M N)
 #align Module.braiding ModuleCat.braiding
+-/
 
 namespace MonoidalCategory
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print ModuleCat.MonoidalCategory.braiding_naturality /-
 @[simp]
 theorem braiding_naturality {X₁ X₂ Y₁ Y₂ : ModuleCat.{u} R} (f : X₁ ⟶ Y₁) (g : X₂ ⟶ Y₂) :
     (f ⊗ g) ≫ (Y₁.braiding Y₂).Hom = (X₁.braiding X₂).Hom ≫ (g ⊗ f) :=
@@ -42,10 +45,12 @@ theorem braiding_naturality {X₁ X₂ Y₁ Y₂ : ModuleCat.{u} R} (f : X₁ 
   apply TensorProduct.ext'
   intro x y
   rfl
-#align Module.monoidal_category.braiding_naturality ModuleCat.monoidalCategory.braiding_naturality
+#align Module.monoidal_category.braiding_naturality ModuleCat.MonoidalCategory.braiding_naturality
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print ModuleCat.MonoidalCategory.hexagon_forward /-
 @[simp]
 theorem hexagon_forward (X Y Z : ModuleCat.{u} R) :
     (α_ X Y Z).Hom ≫ (braiding X _).Hom ≫ (α_ Y Z X).Hom =
@@ -54,10 +59,12 @@ theorem hexagon_forward (X Y Z : ModuleCat.{u} R) :
   apply TensorProduct.ext_threefold
   intro x y z
   rfl
-#align Module.monoidal_category.hexagon_forward ModuleCat.monoidalCategory.hexagon_forward
+#align Module.monoidal_category.hexagon_forward ModuleCat.MonoidalCategory.hexagon_forward
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print ModuleCat.MonoidalCategory.hexagon_reverse /-
 @[simp]
 theorem hexagon_reverse (X Y Z : ModuleCat.{u} R) :
     (α_ X Y Z).inv ≫ (braiding _ Z).Hom ≫ (α_ Z X Y).inv =
@@ -67,10 +74,12 @@ theorem hexagon_reverse (X Y Z : ModuleCat.{u} R) :
   apply TensorProduct.ext_threefold
   intro x y z
   rfl
-#align Module.monoidal_category.hexagon_reverse ModuleCat.monoidalCategory.hexagon_reverse
+#align Module.monoidal_category.hexagon_reverse ModuleCat.MonoidalCategory.hexagon_reverse
+-/
 
 attribute [local ext] TensorProduct.ext
 
+#print ModuleCat.MonoidalCategory.symmetricCategory /-
 /-- The symmetric monoidal structure on `Module R`. -/
 instance symmetricCategory : SymmetricCategory (ModuleCat.{u} R)
     where
@@ -78,7 +87,8 @@ instance symmetricCategory : SymmetricCategory (ModuleCat.{u} R)
   braiding_naturality' X₁ X₂ Y₁ Y₂ f g := braiding_naturality f g
   hexagon_forward' := hexagon_forward
   hexagon_reverse' := hexagon_reverse
-#align Module.monoidal_category.symmetric_category ModuleCat.monoidalCategory.symmetricCategory
+#align Module.monoidal_category.symmetric_category ModuleCat.MonoidalCategory.symmetricCategory
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
@@ -86,7 +96,7 @@ instance symmetricCategory : SymmetricCategory (ModuleCat.{u} R)
 theorem braiding_hom_apply {M N : ModuleCat.{u} R} (m : M) (n : N) :
     ((β_ M N).Hom : M ⊗ N ⟶ N ⊗ M) (m ⊗ₜ n) = n ⊗ₜ m :=
   rfl
-#align Module.monoidal_category.braiding_hom_apply ModuleCat.monoidalCategory.braiding_hom_apply
+#align Module.monoidal_category.braiding_hom_apply ModuleCat.MonoidalCategory.braiding_hom_apply
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
@@ -94,7 +104,7 @@ theorem braiding_hom_apply {M N : ModuleCat.{u} R} (m : M) (n : N) :
 theorem braiding_inv_apply {M N : ModuleCat.{u} R} (m : M) (n : N) :
     ((β_ M N).inv : N ⊗ M ⟶ M ⊗ N) (n ⊗ₜ m) = m ⊗ₜ n :=
   rfl
-#align Module.monoidal_category.braiding_inv_apply ModuleCat.monoidalCategory.braiding_inv_apply
+#align Module.monoidal_category.braiding_inv_apply ModuleCat.MonoidalCategory.braiding_inv_apply
 
 end MonoidalCategory

74403a3b

bump to nightly-2023-05-19-03

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

9a2fedb8

Changes in mathlib4

mathlib3

mathlib4

74403a3b

chore(CategoryTheory/Monoidal): replace 𝟙 X ⊗ f with X ◁ f (#11223)

Extracted from #6307

ee3a8f2c

Diff

@@ -54,7 +54,7 @@ theorem braiding_naturality_right (X : ModuleCat R) {Y Z : ModuleCat R} (f : Y 
 @[simp]
 theorem hexagon_forward (X Y Z : ModuleCat.{u} R) :
     (α_ X Y Z).hom ≫ (braiding X _).hom ≫ (α_ Y Z X).hom =
-      ((braiding X Y).hom ⊗ 𝟙 Z) ≫ (α_ Y X Z).hom ≫ (𝟙 Y ⊗ (braiding X Z).hom) := by
+      (braiding X Y).hom ▷ Z ≫ (α_ Y X Z).hom ≫ Y ◁ (braiding X Z).hom := by
   apply TensorProduct.ext_threefold
   intro x y z
   rfl
@@ -64,7 +64,7 @@ set_option linter.uppercaseLean3 false in
 @[simp]
 theorem hexagon_reverse (X Y Z : ModuleCat.{u} R) :
     (α_ X Y Z).inv ≫ (braiding _ Z).hom ≫ (α_ Z X Y).inv =
-      (𝟙 X ⊗ (Y.braiding Z).hom) ≫ (α_ X Z Y).inv ≫ ((X.braiding Z).hom ⊗ 𝟙 Y) := by
+      X ◁ (Y.braiding Z).hom ≫ (α_ X Z Y).inv ≫ (X.braiding Z).hom ▷ Y := by
   apply (cancel_epi (α_ X Y Z).hom).1
   apply TensorProduct.ext_threefold
   intro x y z

74403a3b

feat: the opposite of a braided category is braided (#10095)

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

6dc895db

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kevin Buzzard, Scott Morrison, Jakob von Raumer
 -/
-import Mathlib.CategoryTheory.Monoidal.Braided
+import Mathlib.CategoryTheory.Monoidal.Braided.Basic
 import Mathlib.Algebra.Category.ModuleCat.Monoidal.Basic
 
 #align_import algebra.category.Module.monoidal.symmetric from "leanprover-community/mathlib"@"74403a3b2551b0970855e14ef5e8fd0d6af1bfc2"

74403a3b

style: homogenise porting notes (#11145)

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

converts "--porting note" into "-- Porting note";
converts "porting note" into "Porting note".

8be0b69c

Diff

@@ -81,7 +81,7 @@ instance symmetricCategory : SymmetricCategory (ModuleCat.{u} R) where
   braiding_naturality_right := braiding_naturality_right
   hexagon_forward := hexagon_forward
   hexagon_reverse := hexagon_reverse
-  -- porting note: this proof was automatic in Lean3
+  -- Porting note: this proof was automatic in Lean3
   -- now `aesop` is applying `ModuleCat.ext` in favour of `TensorProduct.ext`.
   symmetry _ _ := by
     apply TensorProduct.ext'

74403a3b

refactor(CategoryTheory/Monoidal): replace axioms with those more suitable for the whiskerings (#9991)

Extracted from #6307. We replace some axioms by those more preferable when using the whiskerings instead of the tensor of morphisms.

d3da7bbc

Diff

@@ -77,7 +77,8 @@ attribute [local ext] TensorProduct.ext
 /-- The symmetric monoidal structure on `Module R`. -/
 instance symmetricCategory : SymmetricCategory (ModuleCat.{u} R) where
   braiding := braiding
-  braiding_naturality f g := braiding_naturality f g
+  braiding_naturality_left := braiding_naturality_left
+  braiding_naturality_right := braiding_naturality_right
   hexagon_forward := hexagon_forward
   hexagon_reverse := hexagon_reverse
   -- porting note: this proof was automatic in Lean3

74403a3b

feat(CategoryTheory/Monoidal): add lemmas for whiskering operators (#8191)

Extracted from #6307 as suggested in https://github.com/leanprover-community/mathlib4/pull/6307#discussion_r1371849810 .

64b26c95

Diff

@@ -39,6 +39,18 @@ theorem braiding_naturality {X₁ X₂ Y₁ Y₂ : ModuleCat.{u} R} (f : X₁ 
 set_option linter.uppercaseLean3 false in
 #align Module.monoidal_category.braiding_naturality ModuleCat.MonoidalCategory.braiding_naturality
 
+@[simp]
+theorem braiding_naturality_left {X Y : ModuleCat R} (f : X ⟶ Y) (Z : ModuleCat R) :
+    f ▷ Z ≫ (braiding Y Z).hom = (braiding X Z).hom ≫ Z ◁ f := by
+  simp_rw [← id_tensorHom]
+  apply braiding_naturality
+
+@[simp]
+theorem braiding_naturality_right (X : ModuleCat R) {Y Z : ModuleCat R} (f : Y ⟶ Z) :
+    X ◁ f ≫ (braiding X Z).hom = (braiding X Y).hom ≫ f ▷ X := by
+  simp_rw [← id_tensorHom]
+  apply braiding_naturality
+
 @[simp]
 theorem hexagon_forward (X Y Z : ModuleCat.{u} R) :
     (α_ X Y Z).hom ≫ (braiding X _).hom ≫ (α_ Y Z X).hom =

74403a3b

feat: use suppress_compilation in tensor products (#7504)

More principled version of #7281.

9ff5b6f1

Diff

@@ -12,6 +12,7 @@ import Mathlib.Algebra.Category.ModuleCat.Monoidal.Basic
 # The symmetric monoidal structure on `Module R`.
 -/
 
+suppress_compilation
 
 universe v w x u

74403a3b

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) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kevin Buzzard, Scott Morrison, Jakob von Raumer
-
-! This file was ported from Lean 3 source module algebra.category.Module.monoidal.symmetric
-! leanprover-community/mathlib commit 74403a3b2551b0970855e14ef5e8fd0d6af1bfc2
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Monoidal.Braided
 import Mathlib.Algebra.Category.ModuleCat.Monoidal.Basic
 
+#align_import algebra.category.Module.monoidal.symmetric from "leanprover-community/mathlib"@"74403a3b2551b0970855e14ef5e8fd0d6af1bfc2"
+
 /-!
 # The symmetric monoidal structure on `Module R`.
 -/

74403a3b

feat: port CategoryTheory.Bicategory.CoherenceTactic (#4610)

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

b59f0ddb

Diff

@@ -18,7 +18,7 @@ import Mathlib.Algebra.Category.ModuleCat.Monoidal.Basic
 
 universe v w x u
 
-open CategoryTheory
+open CategoryTheory MonoidalCategory
 
 namespace ModuleCat

74403a3b

feat: port Algebra.Category.Module.Monoidal.Symmetric (#4664)

Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>

45154842

`algebra.category.Module.monoidal.symmetric` ⟷ `Mathlib.Algebra.Category.ModuleCat.Monoidal.Symmetric`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 501

algebra.category.Module.monoidal.symmetric ⟷ Mathlib.Algebra.Category.ModuleCat.Monoidal.Symmetric

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 501

`algebra.category.Module.monoidal.symmetric` ⟷ `Mathlib.Algebra.Category.ModuleCat.Monoidal.Symmetric`