category_theory.monoidal.rigid.functor_category
⟷
Mathlib.CategoryTheory.Monoidal.Rigid.FunctorCategory
The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.
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mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,8 +3,8 @@ Copyright (c) 2022 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
-import Mathbin.CategoryTheory.Monoidal.Rigid.Basic
-import Mathbin.CategoryTheory.Monoidal.FunctorCategory
+import CategoryTheory.Monoidal.Rigid.Basic
+import CategoryTheory.Monoidal.FunctorCategory
#align_import category_theory.monoidal.rigid.functor_category from "leanprover-community/mathlib"@"36938f775671ff28bea1c0310f1608e4afbb22e0"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,15 +2,12 @@
Copyright (c) 2022 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.rigid.functor_category
-! 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.Rigid.Basic
import Mathbin.CategoryTheory.Monoidal.FunctorCategory
+#align_import category_theory.monoidal.rigid.functor_category from "leanprover-community/mathlib"@"36938f775671ff28bea1c0310f1608e4afbb22e0"
+
/-!
# Functors from a groupoid into a right/left rigid category form a right/left rigid category.
mathlib commit https://github.com/leanprover-community/mathlib/commit/58a272265b5e05f258161260dd2c5d247213cbd3
@@ -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.rigid.functor_category
-! leanprover-community/mathlib commit a6275694804455fe8995bd530e86b67ddab5cff1
+! leanprover-community/mathlib commit 36938f775671ff28bea1c0310f1608e4afbb22e0
! 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.Monoidal.FunctorCategory
/-!
# Functors from a groupoid into a right/left rigid category form a right/left rigid category.
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
(Using the pointwise monoidal structure on the functor category.)
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/13361559d66b84f80b6d5a1c4a26aa5054766725
@@ -30,6 +30,7 @@ variable {C D : Type _} [Groupoid C] [Category D] [MonoidalCategory D]
/- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
/- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.Monoidal.functorHasRightDual /-
instance functorHasRightDual [RightRigidCategory D] (F : C ⥤ D) : HasRightDual F
where
rightDual :=
@@ -52,12 +53,16 @@ instance functorHasRightDual [RightRigidCategory D] (F : C ⥤ D) : HasRightDual
coevaluation_comp_right_adjoint_mate, category.assoc, ← comp_tensor_id,
is_iso.inv_hom_id, tensor_id, category.comp_id] } }
#align category_theory.monoidal.functor_has_right_dual CategoryTheory.Monoidal.functorHasRightDual
+-/
+#print CategoryTheory.Monoidal.rightRigidFunctorCategory /-
instance rightRigidFunctorCategory [RightRigidCategory D] : RightRigidCategory (C ⥤ D) where
#align category_theory.monoidal.right_rigid_functor_category CategoryTheory.Monoidal.rightRigidFunctorCategory
+-/
/- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
/- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.Monoidal.functorHasLeftDual /-
instance functorHasLeftDual [LeftRigidCategory D] (F : C ⥤ D) : HasLeftDual F
where
leftDual :=
@@ -80,12 +85,17 @@ instance functorHasLeftDual [LeftRigidCategory D] (F : C ⥤ D) : HasLeftDual F
coevaluation_comp_left_adjoint_mate, category.assoc, ← id_tensor_comp,
is_iso.inv_hom_id, tensor_id, category.comp_id] } }
#align category_theory.monoidal.functor_has_left_dual CategoryTheory.Monoidal.functorHasLeftDual
+-/
+#print CategoryTheory.Monoidal.leftRigidFunctorCategory /-
instance leftRigidFunctorCategory [LeftRigidCategory D] : LeftRigidCategory (C ⥤ D) where
#align category_theory.monoidal.left_rigid_functor_category CategoryTheory.Monoidal.leftRigidFunctorCategory
+-/
+#print CategoryTheory.Monoidal.rigidFunctorCategory /-
instance rigidFunctorCategory [RigidCategory D] : RigidCategory (C ⥤ D) where
#align category_theory.monoidal.rigid_functor_category CategoryTheory.Monoidal.rigidFunctorCategory
+-/
end CategoryTheory.Monoidal
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
@@ -36,15 +36,17 @@ instance functorHasRightDual [RightRigidCategory D] (F : C ⥤ D) : HasRightDual
naturality := fun X Y f => by
dsimp
rw [Category.comp_id, Functor.map_inv, ← id_tensor_comp_tensor_id, Category.assoc,
- rightAdjointMate_comp_evaluation, ← Category.assoc, ← id_tensor_comp,
- IsIso.hom_inv_id, tensor_id, Category.id_comp] }
+ id_tensorHom, tensorHom_id,
+ rightAdjointMate_comp_evaluation, ← MonoidalCategory.whiskerLeft_comp_assoc,
+ IsIso.hom_inv_id, MonoidalCategory.whiskerLeft_id, Category.id_comp] }
coevaluation' :=
{ app := fun X => η_ _ _
naturality := fun X Y f => by
dsimp
- rw [Functor.map_inv, Category.id_comp, ← id_tensor_comp_tensor_id, ← Category.assoc,
- coevaluation_comp_rightAdjointMate, Category.assoc, ← comp_tensor_id,
- IsIso.inv_hom_id, tensor_id, Category.comp_id] } }
+ rw [Functor.map_inv, Category.id_comp, ← id_tensor_comp_tensor_id,
+ id_tensorHom, tensorHom_id, ← Category.assoc,
+ coevaluation_comp_rightAdjointMate, Category.assoc, ← comp_whiskerRight,
+ IsIso.inv_hom_id, id_whiskerRight, Category.comp_id] } }
#align category_theory.monoidal.functor_has_right_dual CategoryTheory.Monoidal.functorHasRightDual
instance rightRigidFunctorCategory [RightRigidCategory D] : RightRigidCategory (C ⥤ D) where
@@ -60,16 +62,12 @@ instance functorHasLeftDual [LeftRigidCategory D] (F : C ⥤ D) : HasLeftDual F
{ app := fun X => ε_ _ _
naturality := fun X Y f => by
dsimp
- rw [Category.comp_id, Functor.map_inv, ← tensor_id_comp_id_tensor, Category.assoc,
- leftAdjointMate_comp_evaluation, ← Category.assoc, ← comp_tensor_id,
- IsIso.hom_inv_id, tensor_id, Category.id_comp] }
+ simp [tensorHom_def, leftAdjointMate_comp_evaluation] }
coevaluation' :=
{ app := fun X => η_ _ _
naturality := fun X Y f => by
dsimp
- rw [Functor.map_inv, Category.id_comp, ← tensor_id_comp_id_tensor, ← Category.assoc,
- coevaluation_comp_leftAdjointMate, Category.assoc, ← id_tensor_comp,
- IsIso.inv_hom_id, tensor_id, Category.comp_id] } }
+ simp [tensorHom_def, coevaluation_comp_leftAdjointMate_assoc] } }
#align category_theory.monoidal.functor_has_left_dual CategoryTheory.Monoidal.functorHasLeftDual
instance leftRigidFunctorCategory [LeftRigidCategory D] : LeftRigidCategory (C ⥤ D) where
Type _
and Sort _
(#6499)
We remove all possible occurences of Type _
and Sort _
in favor of Type*
and Sort*
.
This has nice performance benefits.
@@ -23,7 +23,7 @@ open CategoryTheory.MonoidalCategory
namespace CategoryTheory.Monoidal
-variable {C D : Type _} [Groupoid C] [Category D] [MonoidalCategory D]
+variable {C D : Type*} [Groupoid C] [Category D] [MonoidalCategory D]
instance functorHasRightDual [RightRigidCategory D] (F : C ⥤ D) : HasRightDual F where
rightDual :=
@@ -2,15 +2,12 @@
Copyright (c) 2022 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.rigid.functor_category
-! leanprover-community/mathlib commit a6275694804455fe8995bd530e86b67ddab5cff1
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.CategoryTheory.Monoidal.Rigid.Basic
import Mathlib.CategoryTheory.Monoidal.FunctorCategory
+#align_import category_theory.monoidal.rigid.functor_category from "leanprover-community/mathlib"@"a6275694804455fe8995bd530e86b67ddab5cff1"
+
/-!
# Functors from a groupoid into a right/left rigid category form a right/left rigid category.