category_theory.category.Pointed
⟷
Mathlib.CategoryTheory.Category.Pointed
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
@@ -3,7 +3,7 @@ Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
-import Mathbin.CategoryTheory.ConcreteCategory.Basic
+import CategoryTheory.ConcreteCategory.Basic
#align_import category_theory.category.Pointed from "leanprover-community/mathlib"@"10bf4f825ad729c5653adc039dafa3622e7f93c9"
mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504
@@ -57,7 +57,7 @@ theorem coe_of {X : Type _} (point : X) : ↥(of point) = X :=
#align Pointed.coe_of Pointed.coe_of
-/
-alias of ← _root_.prod.Pointed
+alias _root_.prod.Pointed := of
#align prod.Pointed Prod.Pointed
instance : Inhabited Pointed :=
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,14 +2,11 @@
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-
-! This file was ported from Lean 3 source module category_theory.category.Pointed
-! leanprover-community/mathlib commit 10bf4f825ad729c5653adc039dafa3622e7f93c9
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.CategoryTheory.ConcreteCategory.Basic
+#align_import category_theory.category.Pointed from "leanprover-community/mathlib"@"10bf4f825ad729c5653adc039dafa3622e7f93c9"
+
/-!
# The category of pointed types
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -154,16 +154,9 @@ def typeToPointedForgetAdjunction : typeToPointed ⊣ forget Pointed :=
{ homEquiv := fun X Y =>
{ toFun := fun f => f.toFun ∘ Option.some
invFun := fun f => ⟨fun o => o.elim Y.point f, rfl⟩
- left_inv := fun f => by
- ext
- cases x
- exact f.map_point.symm
- rfl
+ left_inv := fun f => by ext; cases x; exact f.map_point.symm; rfl
right_inv := fun f => funext fun _ => rfl }
- homEquiv_naturality_left_symm := fun X' X Y f g =>
- by
- ext
- cases x <;> rfl }
+ homEquiv_naturality_left_symm := fun X' X Y f g => by ext; cases x <;> rfl }
#align Type_to_Pointed_forget_adjunction typeToPointedForgetAdjunction
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/da3fc4a33ff6bc75f077f691dc94c217b8d41559
@@ -61,7 +61,7 @@ theorem coe_of {X : Type _} (point : X) : ↥(of point) = X :=
-/
alias of ← _root_.prod.Pointed
-#align prod.Pointed prod.Pointed
+#align prod.Pointed Prod.Pointed
instance : Inhabited Pointed :=
⟨of ((), ())⟩
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce7e9d53d4bbc38065db3b595cd5bd73c323bc1d
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
! This file was ported from Lean 3 source module category_theory.category.Pointed
-! leanprover-community/mathlib commit c8ab806ef73c20cab1d87b5157e43a82c205f28e
+! leanprover-community/mathlib commit 10bf4f825ad729c5653adc039dafa3622e7f93c9
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
@@ -13,6 +13,9 @@ import Mathbin.CategoryTheory.ConcreteCategory.Basic
/-!
# The category of pointed types
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
This defines `Pointed`, the category of pointed types.
## TODO
mathlib commit https://github.com/leanprover-community/mathlib/commit/2196ab363eb097c008d4497125e0dde23fb36db2
@@ -28,11 +28,13 @@ universe u
variable {α β : Type _}
+#print Pointed /-
/-- The category of pointed types. -/
structure Pointed : Type (u + 1) where
pt : Type u
point : X
#align Pointed Pointed
+-/
namespace Pointed
@@ -41,48 +43,59 @@ instance : CoeSort Pointed (Type _) :=
attribute [protected] Pointed.X
+#print Pointed.of /-
/-- Turns a point into a pointed type. -/
def of {X : Type _} (point : X) : Pointed :=
⟨X, point⟩
#align Pointed.of Pointed.of
+-/
+#print Pointed.coe_of /-
@[simp]
theorem coe_of {X : Type _} (point : X) : ↥(of point) = X :=
rfl
#align Pointed.coe_of Pointed.coe_of
+-/
alias of ← _root_.prod.Pointed
-#align prod.Pointed Prod.pointed
+#align prod.Pointed prod.Pointed
instance : Inhabited Pointed :=
⟨of ((), ())⟩
+#print Pointed.Hom /-
/-- Morphisms in `Pointed`. -/
@[ext]
protected structure Hom (X Y : Pointed.{u}) : Type u where
toFun : X → Y
map_point : to_fun X.point = Y.point
#align Pointed.hom Pointed.Hom
+-/
namespace Hom
+#print Pointed.Hom.id /-
/-- The identity morphism of `X : Pointed`. -/
@[simps]
def id (X : Pointed) : Hom X X :=
⟨id, rfl⟩
#align Pointed.hom.id Pointed.Hom.id
+-/
instance (X : Pointed) : Inhabited (Hom X X) :=
⟨id X⟩
+#print Pointed.Hom.comp /-
/-- Composition of morphisms of `Pointed`. -/
@[simps]
def comp {X Y Z : Pointed.{u}} (f : Hom X Y) (g : Hom Y Z) : Hom X Z :=
⟨g.toFun ∘ f.toFun, by rw [Function.comp_apply, f.map_point, g.map_point]⟩
#align Pointed.hom.comp Pointed.Hom.comp
+-/
end Hom
+#print Pointed.largeCategory /-
instance largeCategory : LargeCategory Pointed
where
Hom := Hom
@@ -92,7 +105,9 @@ instance largeCategory : LargeCategory Pointed
comp_id' _ _ _ := Hom.ext _ _ rfl
assoc' _ _ _ _ _ _ _ := Hom.ext _ _ rfl
#align Pointed.large_category Pointed.largeCategory
+-/
+#print Pointed.concreteCategory /-
instance concreteCategory : ConcreteCategory Pointed
where
forget :=
@@ -100,7 +115,9 @@ instance concreteCategory : ConcreteCategory Pointed
map := @Hom.toFun }
forget_faithful := ⟨@Hom.ext⟩
#align Pointed.concrete_category Pointed.concreteCategory
+-/
+#print Pointed.Iso.mk /-
/-- Constructs a isomorphism between pointed types from an equivalence that preserves the point
between them. -/
@[simps]
@@ -111,9 +128,11 @@ def Iso.mk {α β : Pointed} (e : α ≃ β) (he : e α.point = β.point) : α
hom_inv_id' := Pointed.Hom.ext _ _ e.symm_comp_self
inv_hom_id' := Pointed.Hom.ext _ _ e.self_comp_symm
#align Pointed.iso.mk Pointed.Iso.mk
+-/
end Pointed
+#print typeToPointed /-
/-- `option` as a functor from types to pointed types. This is the free functor. -/
@[simps]
def typeToPointed : Type u ⥤ Pointed.{u}
@@ -123,7 +142,9 @@ def typeToPointed : Type u ⥤ Pointed.{u}
map_id' X := Pointed.Hom.ext _ _ Option.map_id
map_comp' X Y Z f g := Pointed.Hom.ext _ _ (Option.map_comp_map _ _).symm
#align Type_to_Pointed typeToPointed
+-/
+#print typeToPointedForgetAdjunction /-
/-- `Type_to_Pointed` is the free functor. -/
def typeToPointedForgetAdjunction : typeToPointed ⊣ forget Pointed :=
Adjunction.mkOfHomEquiv
@@ -141,4 +162,5 @@ def typeToPointedForgetAdjunction : typeToPointed ⊣ forget Pointed :=
ext
cases x <;> rfl }
#align Type_to_Pointed_forget_adjunction typeToPointedForgetAdjunction
+-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/9da1b3534b65d9661eb8f42443598a92bbb49211
@@ -30,7 +30,7 @@ variable {α β : Type _}
/-- The category of pointed types. -/
structure Pointed : Type (u + 1) where
- x : Type u
+ pt : Type u
point : X
#align Pointed Pointed
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
Option {b // b ≠ a} ≃ α
(#11095)
Extract from partialFunEquivPointed
the equivalence between any type with a distinguished element and an Option type.
Co-authored-by: @YaelDillies <yael.dillies@gmail.com> Co-authored-by: @fpvandoorn <fpvdoorn@gmail.com>
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
@@ -100,6 +100,11 @@ instance largeCategory : LargeCategory Pointed
set_option linter.uppercaseLean3 false in
#align Pointed.large_category Pointed.largeCategory
+@[simp] lemma Hom.id_toFun' (X : Pointed.{u}) : (𝟙 X : X ⟶ X).toFun = _root_.id := rfl
+
+@[simp] lemma Hom.comp_toFun' {X Y Z : Pointed.{u}} (f : X ⟶ Y) (g : Y ⟶ Z) :
+ (f ≫ g).toFun = g.toFun ∘ f.toFun := rfl
+
instance concreteCategory : ConcreteCategory Pointed where
forget :=
{ obj := Pointed.X
Homogenises porting notes via capitalisation and addition of whitespace.
It makes the following changes:
@@ -39,7 +39,7 @@ namespace Pointed
instance : CoeSort Pointed (Type*) :=
⟨X⟩
--- porting note: protected attribute does not work
+-- Porting note: protected attribute does not work
--attribute [protected] Pointed.X
/-- Turns a point into a pointed type. -/
@@ -54,7 +54,7 @@ theorem coe_of {X : Type*} (point : X) : ↥(of point) = X :=
set_option linter.uppercaseLean3 false in
#align Pointed.coe_of Pointed.coe_of
-alias of ← _root_.Prod.Pointed
+alias _root_.Prod.Pointed := of
set_option linter.uppercaseLean3 false in
#align prod.Pointed Prod.Pointed
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
universe u
-variable {α β : Type _}
+variable {α β : Type*}
/-- The category of pointed types. -/
structure Pointed : Type (u + 1) where
@@ -36,20 +36,20 @@ set_option linter.uppercaseLean3 false in
namespace Pointed
-instance : CoeSort Pointed (Type _) :=
+instance : CoeSort Pointed (Type*) :=
⟨X⟩
-- porting note: protected attribute does not work
--attribute [protected] Pointed.X
/-- Turns a point into a pointed type. -/
-def of {X : Type _} (point : X) : Pointed :=
+def of {X : Type*} (point : X) : Pointed :=
⟨X, point⟩
set_option linter.uppercaseLean3 false in
#align Pointed.of Pointed.of
@[simp]
-theorem coe_of {X : Type _} (point : X) : ↥(of point) = X :=
+theorem coe_of {X : Type*} (point : X) : ↥(of point) = X :=
rfl
set_option linter.uppercaseLean3 false in
#align Pointed.coe_of Pointed.coe_of
@@ -2,14 +2,11 @@
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-
-! This file was ported from Lean 3 source module category_theory.category.Pointed
-! leanprover-community/mathlib commit c8ab806ef73c20cab1d87b5157e43a82c205f28e
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.CategoryTheory.ConcreteCategory.Basic
+#align_import category_theory.category.Pointed from "leanprover-community/mathlib"@"c8ab806ef73c20cab1d87b5157e43a82c205f28e"
+
/-!
# The category of pointed types
This PR is the result of running
find . -type f -name "*.lean" -exec sed -i -E 's/^( +)\. /\1· /' {} \;
find . -type f -name "*.lean" -exec sed -i -E 'N;s/^( +·)\n +(.*)$/\1 \2/;P;D' {} \;
which firstly replaces .
focusing dots with ·
and secondly removes isolated instances of such dots, unifying them with the following line. A new rule is placed in the style linter to verify this.
@@ -144,8 +144,8 @@ def typeToPointedForgetAdjunction : typeToPointed ⊣ forget Pointed :=
apply Pointed.Hom.ext
funext x
cases x
- . exact f.map_point.symm
- . rfl
+ · exact f.map_point.symm
+ · rfl
right_inv := fun f => funext fun _ => rfl }
homEquiv_naturality_left_symm := fun f g => by
apply Pointed.Hom.ext
@@ -111,7 +111,7 @@ instance concreteCategory : ConcreteCategory Pointed where
set_option linter.uppercaseLean3 false in
#align Pointed.concrete_category Pointed.concreteCategory
-/-- Constructs a isomorphism between pointed types from an equivalence that preserves the point
+/-- Constructs an isomorphism between pointed types from an equivalence that preserves the point
between them. -/
@[simps]
def Iso.mk {α β : Pointed} (e : α ≃ β) (he : e α.point = β.point) : α ≅ β where
fix-comments.py
on all files.@@ -18,7 +18,7 @@ This defines `Pointed`, the category of pointed types.
## TODO
* Monoidal structure
-* Upgrade `Type_to_Pointed` to an equivalence
+* Upgrade `typeToPointed` to an equivalence
-/
@@ -134,7 +134,7 @@ def typeToPointed : Type u ⥤ Pointed.{u} where
set_option linter.uppercaseLean3 false in
#align Type_to_Pointed typeToPointed
-/-- `Type_to_Pointed` is the free functor. -/
+/-- `typeToPointed` is the free functor. -/
def typeToPointedForgetAdjunction : typeToPointed ⊣ forget Pointed :=
Adjunction.mkOfHomEquiv
{ homEquiv := fun X Y =>
I think the ports
didn't quite get things right, and also have some variation between them. This PR tries to straighten things out.
Major changes:
X.\a
, and put attribute @[coe]
on this.lemma Hom.map_mul {X Y : MonCat} (f : X ⟶ Y) (x y : X) : ((forget MonCat).map f) (x * y) = f x * f y
lemma coe_comp {X Y Z : MonCat} {f : X ⟶ Y} {g : Y ⟶ Z} : (f ≫ g : X → Z) = g ∘ f := rfl
Overall I'm pretty happy, and it allows me to unstick the long stuck https://github.com/leanprover-community/mathlib4/pull/3105.
This is not everything I want to do to refactor these files, but once I was satisfied that I can move forward with RingCat, I want to get this merged so we can unblock porting progress. I'll promise to come back to this soon! :-)
Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au>
@@ -104,7 +104,7 @@ set_option linter.uppercaseLean3 false in
#align Pointed.large_category Pointed.largeCategory
instance concreteCategory : ConcreteCategory Pointed where
- Forget :=
+ forget :=
{ obj := Pointed.X
map := @Hom.toFun }
forget_faithful := ⟨@Hom.ext⟩
@@ -57,9 +57,9 @@ theorem coe_of {X : Type _} (point : X) : ↥(of point) = X :=
set_option linter.uppercaseLean3 false in
#align Pointed.coe_of Pointed.coe_of
-alias of ← _root_.prod.Pointed
+alias of ← _root_.Prod.Pointed
set_option linter.uppercaseLean3 false in
-#align prod.Pointed prod.Pointed
+#align prod.Pointed Prod.Pointed
instance : Inhabited Pointed :=
⟨of ((), ())⟩
@@ -114,8 +114,7 @@ set_option linter.uppercaseLean3 false in
/-- Constructs a isomorphism between pointed types from an equivalence that preserves the point
between them. -/
@[simps]
-def Iso.mk {α β : Pointed} (e : α ≃ β) (he : e α.point = β.point) : α ≅ β
- where
+def Iso.mk {α β : Pointed} (e : α ≃ β) (he : e α.point = β.point) : α ≅ β where
hom := ⟨e, he⟩
inv := ⟨e.symm, e.symm_apply_eq.2 he.symm⟩
hom_inv_id := Pointed.Hom.ext _ _ e.symm_comp_self
All dependencies are ported!