category_theory.monoidal.discrete
⟷
Mathlib.CategoryTheory.Monoidal.Discrete
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/65a1391a0106c9204fe45bc73a039f056558cb83
@@ -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: Scott Morrison
-/
-import Algebra.Hom.Group
+import Algebra.Group.Hom.Defs
import CategoryTheory.DiscreteCategory
import CategoryTheory.Monoidal.NaturalTransformation
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,9 +3,9 @@ Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
-import Mathbin.Algebra.Hom.Group
-import Mathbin.CategoryTheory.DiscreteCategory
-import Mathbin.CategoryTheory.Monoidal.NaturalTransformation
+import Algebra.Hom.Group
+import CategoryTheory.DiscreteCategory
+import CategoryTheory.Monoidal.NaturalTransformation
#align_import category_theory.monoidal.discrete from "leanprover-community/mathlib"@"31ca6f9cf5f90a6206092cd7f84b359dcb6d52e0"
mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504
@@ -58,7 +58,7 @@ def Discrete.monoidalFunctor (F : M →* N) : MonoidalFunctor (Discrete M) (Disc
obj X := Discrete.mk (F X.as)
map X Y f := Discrete.eqToHom (F.congr_arg (eq_of_hom f))
ε := Discrete.eqToHom F.map_one.symm
- μ X Y := Discrete.eqToHom (F.map_mul X.as Y.as).symm
+ μ X Y := Discrete.eqToHom (F.map_hMul X.as Y.as).symm
#align category_theory.discrete.monoidal_functor CategoryTheory.Discrete.monoidalFunctor
#align category_theory.discrete.add_monoidal_functor CategoryTheory.Discrete.addMonoidalFunctor
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,16 +2,13 @@
Copyright (c) 2020 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.discrete
-! leanprover-community/mathlib commit 31ca6f9cf5f90a6206092cd7f84b359dcb6d52e0
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.Algebra.Hom.Group
import Mathbin.CategoryTheory.DiscreteCategory
import Mathbin.CategoryTheory.Monoidal.NaturalTransformation
+#align_import category_theory.monoidal.discrete from "leanprover-community/mathlib"@"31ca6f9cf5f90a6206092cd7f84b359dcb6d52e0"
+
/-!
# Monoids as discrete monoidal categories
mathlib commit https://github.com/leanprover-community/mathlib/commit/3cacc945118c8c637d89950af01da78307f59325
@@ -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.discrete
-! leanprover-community/mathlib commit 8a0e71287eb4c80e87f72e8c174835f360a6ddd9
+! leanprover-community/mathlib commit 31ca6f9cf5f90a6206092cd7f84b359dcb6d52e0
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
@@ -15,6 +15,9 @@ import Mathbin.CategoryTheory.Monoidal.NaturalTransformation
/-!
# Monoids as discrete monoidal categories
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
The discrete category on a monoid is a monoidal category.
Multiplicative morphisms induced monoidal functors.
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce86f4e05e9a9b8da5e316b22c76ce76440c56a1
@@ -30,6 +30,7 @@ variable (M : Type u) [Monoid M]
namespace CategoryTheory
+#print CategoryTheory.Discrete.monoidal /-
@[to_additive Discrete.addMonoidal, simps tensor_obj_as tensor_unit_as]
instance Discrete.monoidal : MonoidalCategory (Discrete M)
where
@@ -40,10 +41,12 @@ instance Discrete.monoidal : MonoidalCategory (Discrete M)
rightUnitor X := Discrete.eqToIso (mul_one X.as)
associator X Y Z := Discrete.eqToIso (mul_assoc _ _ _)
#align category_theory.discrete.monoidal CategoryTheory.Discrete.monoidal
-#align discrete.add_monoidal Discrete.addMonoidal
+#align category_theory.discrete.add_monoidal CategoryTheory.Discrete.addMonoidal
+-/
variable {M} {N : Type u} [Monoid N]
+#print CategoryTheory.Discrete.monoidalFunctor /-
/-- A multiplicative morphism between monoids gives a monoidal functor between the corresponding
discrete monoidal categories.
-/
@@ -57,11 +60,13 @@ def Discrete.monoidalFunctor (F : M →* N) : MonoidalFunctor (Discrete M) (Disc
ε := Discrete.eqToHom F.map_one.symm
μ X Y := Discrete.eqToHom (F.map_mul X.as Y.as).symm
#align category_theory.discrete.monoidal_functor CategoryTheory.Discrete.monoidalFunctor
-#align discrete.add_monoidal_functor Discrete.addMonoidalFunctor
+#align category_theory.discrete.add_monoidal_functor CategoryTheory.Discrete.addMonoidalFunctor
+-/
variable {K : Type u} [Monoid K]
/- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.Discrete.monoidalFunctorComp /-
/-- The monoidal natural isomorphism corresponding to composing two multiplicative morphisms.
-/
@[to_additive Discrete.addMonoidalFunctorComp
@@ -72,7 +77,8 @@ def Discrete.monoidalFunctorComp (F : M →* N) (G : N →* K) :
Hom := { app := fun X => 𝟙 _ }
inv := { app := fun X => 𝟙 _ }
#align category_theory.discrete.monoidal_functor_comp CategoryTheory.Discrete.monoidalFunctorComp
-#align discrete.add_monoidal_functor_comp Discrete.addMonoidalFunctorComp
+#align category_theory.discrete.add_monoidal_functor_comp CategoryTheory.Discrete.addMonoidalFunctorComp
+-/
end CategoryTheory
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
Hom
and file name (#8095)
I believe the file defining a type of morphisms belongs alongside the file defining the structure this morphism works on. So I would like to reorganize the files in the Mathlib.Algebra.Hom
folder so that e.g. Mathlib.Algebra.Hom.Ring
becomes Mathlib.Algebra.Ring.Hom
and Mathlib.Algebra.Hom.NonUnitalAlg
becomes Mathlib.Algebra.Algebra.NonUnitalHom
.
While fixing the imports I went ahead and sorted them for good luck.
The full list of changes is: renamed: Mathlib/Algebra/Hom/NonUnitalAlg.lean -> Mathlib/Algebra/Algebra/NonUnitalHom.lean renamed: Mathlib/Algebra/Hom/Aut.lean -> Mathlib/Algebra/Group/Aut.lean renamed: Mathlib/Algebra/Hom/Commute.lean -> Mathlib/Algebra/Group/Commute/Hom.lean renamed: Mathlib/Algebra/Hom/Embedding.lean -> Mathlib/Algebra/Group/Embedding.lean renamed: Mathlib/Algebra/Hom/Equiv/Basic.lean -> Mathlib/Algebra/Group/Equiv/Basic.lean renamed: Mathlib/Algebra/Hom/Equiv/TypeTags.lean -> Mathlib/Algebra/Group/Equiv/TypeTags.lean renamed: Mathlib/Algebra/Hom/Equiv/Units/Basic.lean -> Mathlib/Algebra/Group/Units/Equiv.lean renamed: Mathlib/Algebra/Hom/Equiv/Units/GroupWithZero.lean -> Mathlib/Algebra/GroupWithZero/Units/Equiv.lean renamed: Mathlib/Algebra/Hom/Freiman.lean -> Mathlib/Algebra/Group/Freiman.lean renamed: Mathlib/Algebra/Hom/Group/Basic.lean -> Mathlib/Algebra/Group/Hom/Basic.lean renamed: Mathlib/Algebra/Hom/Group/Defs.lean -> Mathlib/Algebra/Group/Hom/Defs.lean renamed: Mathlib/Algebra/Hom/GroupAction.lean -> Mathlib/GroupTheory/GroupAction/Hom.lean renamed: Mathlib/Algebra/Hom/GroupInstances.lean -> Mathlib/Algebra/Group/Hom/Instances.lean renamed: Mathlib/Algebra/Hom/Iterate.lean -> Mathlib/Algebra/GroupPower/IterateHom.lean renamed: Mathlib/Algebra/Hom/Centroid.lean -> Mathlib/Algebra/Ring/CentroidHom.lean renamed: Mathlib/Algebra/Hom/Ring/Basic.lean -> Mathlib/Algebra/Ring/Hom/Basic.lean renamed: Mathlib/Algebra/Hom/Ring/Defs.lean -> Mathlib/Algebra/Ring/Hom/Defs.lean renamed: Mathlib/Algebra/Hom/Units.lean -> Mathlib/Algebra/Group/Units/Hom.lean
Zulip thread: https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Reorganizing.20.60Mathlib.2EAlgebra.2EHom.60
@@ -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: Scott Morrison
-/
-import Mathlib.Algebra.Hom.Group.Defs
+import Mathlib.Algebra.Group.Hom.Defs
import Mathlib.CategoryTheory.DiscreteCategory
import Mathlib.CategoryTheory.Monoidal.NaturalTransformation
MonoidalCategory
into a Struct
class (#7279)
This matches the approach for CategoryStruct
, and allows us to use the notation within MonoidalCategory
.
It also makes it easier to induce the lawful structure along a faithful functor, as again it means by the time we are providing the proof fields, the notation is already available.
This also eliminates tensorUnit
vs tensorUnit'
, adding a custom pretty-printer to provide the unprimed version with appropriate notation.
@@ -28,7 +28,7 @@ namespace CategoryTheory
@[to_additive (attr := simps tensorObj_as leftUnitor rightUnitor associator) Discrete.addMonoidal]
instance Discrete.monoidal : MonoidalCategory (Discrete M)
where
- tensorUnit' := Discrete.mk 1
+ tensorUnit := Discrete.mk 1
tensorObj X Y := Discrete.mk (X.as * Y.as)
whiskerLeft X _ _ f := eqToHom (by dsimp; rw [eq_of_hom f])
whiskerRight f X := eqToHom (by dsimp; rw [eq_of_hom f])
@@ -17,7 +17,7 @@ Multiplicative morphisms induced monoidal functors.
-/
-universe u
+universe u u'
open CategoryTheory Discrete MonoidalCategory
@@ -42,7 +42,7 @@ instance Discrete.monoidal : MonoidalCategory (Discrete M)
@[to_additive (attr := simp) Discrete.addMonoidal_tensorUnit_as]
lemma Discrete.monoidal_tensorUnit_as : (𝟙_ (Discrete M)).as = 1 := rfl
-variable {M} {N : Type u} [Monoid N]
+variable {M} {N : Type u'} [Monoid N]
/-- A multiplicative morphism between monoids gives a monoidal functor between the corresponding
discrete monoidal categories.
@@ -40,8 +40,7 @@ instance Discrete.monoidal : MonoidalCategory (Discrete M)
#align category_theory.discrete.add_monoidal CategoryTheory.Discrete.addMonoidal
@[to_additive (attr := simp) Discrete.addMonoidal_tensorUnit_as]
-lemma Discrete.monoidal_tensorUnit_as :
- (𝟙_ (Discrete M)).as = 1 := rfl
+lemma Discrete.monoidal_tensorUnit_as : (𝟙_ (Discrete M)).as = 1 := rfl
variable {M} {N : Type u} [Monoid N]
@@ -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: Scott Morrison
-/
-import Mathlib.Algebra.Hom.Group
+import Mathlib.Algebra.Hom.Group.Defs
import Mathlib.CategoryTheory.DiscreteCategory
import Mathlib.CategoryTheory.Monoidal.NaturalTransformation
@@ -30,6 +30,8 @@ instance Discrete.monoidal : MonoidalCategory (Discrete M)
where
tensorUnit' := Discrete.mk 1
tensorObj X Y := Discrete.mk (X.as * Y.as)
+ whiskerLeft X _ _ f := eqToHom (by dsimp; rw [eq_of_hom f])
+ whiskerRight f X := eqToHom (by dsimp; rw [eq_of_hom f])
tensorHom f g := eqToHom (by dsimp; rw [eq_of_hom f, eq_of_hom g])
leftUnitor X := Discrete.eqToIso (one_mul X.as)
rightUnitor X := Discrete.eqToIso (mul_one X.as)
@@ -2,16 +2,13 @@
Copyright (c) 2020 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.discrete
-! leanprover-community/mathlib commit 8a0e71287eb4c80e87f72e8c174835f360a6ddd9
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.Algebra.Hom.Group
import Mathlib.CategoryTheory.DiscreteCategory
import Mathlib.CategoryTheory.Monoidal.NaturalTransformation
+#align_import category_theory.monoidal.discrete from "leanprover-community/mathlib"@"8a0e71287eb4c80e87f72e8c174835f360a6ddd9"
+
/-!
# Monoids as discrete monoidal categories
@@ -22,9 +22,7 @@ Multiplicative morphisms induced monoidal functors.
universe u
-open CategoryTheory
-
-open CategoryTheory.Discrete
+open CategoryTheory Discrete MonoidalCategory
variable (M : Type u) [Monoid M]
Co-authored-by: adamtopaz <github@adamtopaz.com> Co-authored-by: Moritz Firsching <firsching@google.com> Co-authored-by: ChrisHughes24 <chrishughes24@gmail.com> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>
@@ -30,7 +30,7 @@ variable (M : Type u) [Monoid M]
namespace CategoryTheory
-@[to_additive (attr := simps tensorObj_as) Discrete.addMonoidal]
+@[to_additive (attr := simps tensorObj_as leftUnitor rightUnitor associator) Discrete.addMonoidal]
instance Discrete.monoidal : MonoidalCategory (Discrete M)
where
tensorUnit' := Discrete.mk 1
All dependencies are ported!