category_theory.monoidal.discreteMathlib.CategoryTheory.Monoidal.Discrete

This file has been ported!

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.

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Changes in mathlib3port

mathlib3
mathlib3port
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: Scott Morrison
 -/
-import Algebra.Hom.Group
+import Algebra.Group.Hom.Defs
 import CategoryTheory.DiscreteCategory
 import CategoryTheory.Monoidal.NaturalTransformation
 
Diff
@@ -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"
 
Diff
@@ -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
 -/
Diff
@@ -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
 
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.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.
 -/
Diff
@@ -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
 

Changes in mathlib4

mathlib3
mathlib4
refactor(Algebra/Hom): transpose 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

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: Scott Morrison
 -/
-import Mathlib.Algebra.Hom.Group.Defs
+import Mathlib.Algebra.Group.Hom.Defs
 import Mathlib.CategoryTheory.DiscreteCategory
 import Mathlib.CategoryTheory.Monoidal.NaturalTransformation
 
refactor: Move the data fields of 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.

Diff
@@ -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])
feat(CategoryTheory): the pullback of a shift by a monoid morphism (#7270)
Diff
@@ -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.
chore: only four spaces for subsequent lines (#7286)

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

Diff
@@ -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]
 
refactor: split Algebra.Hom.Group and Algebra.Hom.Ring (#7094)

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

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: Scott Morrison
 -/
-import Mathlib.Algebra.Hom.Group
+import Mathlib.Algebra.Hom.Group.Defs
 import Mathlib.CategoryTheory.DiscreteCategory
 import Mathlib.CategoryTheory.Monoidal.NaturalTransformation
 
feat(CategoryTheory/Monoidal): define whiskering operators (#6420)

Extracted from #6307. Just put the whiskerings into the constructor.

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

Open in Gitpod

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

Diff
@@ -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
 
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>

Diff
@@ -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]
 
feat: port CategoryTheory.Shift.Basic (#3039)

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>

Diff
@@ -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
feat: port CategoryTheory.Monoidal.Discrete (#3038)

Co-authored-by: Moritz Firsching <firsching@google.com> Co-authored-by: ChrisHughes24 <chrishughes24@gmail.com> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com> Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr>

Dependencies 43

44 files ported (100.0%)
17121 lines ported (100.0%)

All dependencies are ported!