category_theory.concrete_category.bundled_hom
⟷
Mathlib.CategoryTheory.ConcreteCategory.BundledHom
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
@@ -168,10 +168,10 @@ instance forget₂ (F : ∀ {α}, d α → c α) [ParentProjection @F] : HasForg
#align category_theory.bundled_hom.forget₂ CategoryTheory.BundledHom.forget₂
-/
-#print CategoryTheory.BundledHom.forget₂Full /-
-instance forget₂Full (F : ∀ {α}, d α → c α) [ParentProjection @F] :
+#print CategoryTheory.BundledHom.forget₂_full /-
+instance forget₂_full (F : ∀ {α}, d α → c α) [ParentProjection @F] :
CategoryTheory.Functor.Full (forget₂ (Bundled d) (Bundled c)) where preimage X Y f := f
-#align category_theory.bundled_hom.forget₂_full CategoryTheory.BundledHom.forget₂Full
+#align category_theory.bundled_hom.forget₂_full CategoryTheory.BundledHom.forget₂_full
-/
end BundledHom
mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83
@@ -170,7 +170,7 @@ instance forget₂ (F : ∀ {α}, d α → c α) [ParentProjection @F] : HasForg
#print CategoryTheory.BundledHom.forget₂Full /-
instance forget₂Full (F : ∀ {α}, d α → c α) [ParentProjection @F] :
- Full (forget₂ (Bundled d) (Bundled c)) where preimage X Y f := f
+ CategoryTheory.Functor.Full (forget₂ (Bundled d) (Bundled c)) where preimage X Y f := f
#align category_theory.bundled_hom.forget₂_full CategoryTheory.BundledHom.forget₂Full
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83
@@ -66,7 +66,7 @@ instance category : Category (Bundled c) := by
comp_id' := _
id_comp' := _
assoc' := _ } <;> intros <;> apply 𝒞.hom_ext <;>
- simp only [𝒞.id_to_fun, 𝒞.comp_to_fun, Function.left_id, Function.right_id]
+ simp only [𝒞.id_to_fun, 𝒞.comp_to_fun, Function.id_comp, Function.comp_id]
#align category_theory.bundled_hom.category CategoryTheory.BundledHom.category
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,8 +3,8 @@ Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Yury Kudryashov
-/
-import Mathbin.CategoryTheory.ConcreteCategory.Basic
-import Mathbin.CategoryTheory.ConcreteCategory.Bundled
+import CategoryTheory.ConcreteCategory.Basic
+import CategoryTheory.ConcreteCategory.Bundled
#align_import category_theory.concrete_category.bundled_hom from "leanprover-community/mathlib"@"932872382355f00112641d305ba0619305dc8642"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,15 +2,12 @@
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Yury Kudryashov
-
-! This file was ported from Lean 3 source module category_theory.concrete_category.bundled_hom
-! leanprover-community/mathlib commit 932872382355f00112641d305ba0619305dc8642
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.CategoryTheory.ConcreteCategory.Basic
import Mathbin.CategoryTheory.ConcreteCategory.Bundled
+#align_import category_theory.concrete_category.bundled_hom from "leanprover-community/mathlib"@"932872382355f00112641d305ba0619305dc8642"
+
/-!
# Category instances for algebraic structures that use bundled homs.
mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423
@@ -56,8 +56,6 @@ namespace BundledHom
variable [𝒞 : BundledHom hom]
-include 𝒞
-
#print CategoryTheory.BundledHom.category /-
/-- Every `@bundled_hom c _` defines a category with objects in `bundled c`.
@@ -96,6 +94,7 @@ variable {hom}
attribute [local instance] concrete_category.has_coe_to_fun
+#print CategoryTheory.BundledHom.mkHasForget₂ /-
/-- A version of `has_forget₂.mk'` for categories defined using `@bundled_hom`. -/
def mkHasForget₂ {d : Type u → Type u} {hom_d : ∀ ⦃α β : Type u⦄ (Iα : d α) (Iβ : d β), Type u}
[BundledHom hom_d] (obj : ∀ ⦃α⦄, c α → d α)
@@ -105,6 +104,7 @@ def mkHasForget₂ {d : Type u → Type u} {hom_d : ∀ ⦃α β : Type u⦄ (I
HasForget₂.mk' (Bundled.map @obj) (fun _ => rfl) (@map)
(by intros <;> apply hEq_of_eq <;> apply h_map)
#align category_theory.bundled_hom.mk_has_forget₂ CategoryTheory.BundledHom.mkHasForget₂
+-/
variable {d : Type u → Type u}
@@ -112,8 +112,6 @@ variable (hom)
section
-omit 𝒞
-
#print CategoryTheory.BundledHom.MapHom /-
/-- The `hom` corresponding to first forgetting along `F`, then taking the `hom` associated to `c`.
@@ -142,8 +140,6 @@ def map (F : ∀ {α}, d α → c α) : BundledHom (MapHom hom @F)
section
-omit 𝒞
-
#print CategoryTheory.BundledHom.ParentProjection /-
/-- We use the empty `parent_projection` class to label functions like `comm_monoid.to_monoid`,
which we would like to use to automatically construct `bundled_hom` instances from.
@@ -167,11 +163,13 @@ instance bundledHomOfParentProjection (F : ∀ {α}, d α → c α) [ParentProje
#align category_theory.bundled_hom.bundled_hom_of_parent_projection CategoryTheory.BundledHom.bundledHomOfParentProjection
-/
+#print CategoryTheory.BundledHom.forget₂ /-
instance forget₂ (F : ∀ {α}, d α → c α) [ParentProjection @F] : HasForget₂ (Bundled d) (Bundled c)
where forget₂ :=
{ obj := fun X => ⟨X, F X.2⟩
map := fun X Y f => f }
#align category_theory.bundled_hom.forget₂ CategoryTheory.BundledHom.forget₂
+-/
#print CategoryTheory.BundledHom.forget₂Full /-
instance forget₂Full (F : ∀ {α}, d α → c α) [ParentProjection @F] :
mathlib commit https://github.com/leanprover-community/mathlib/commit/c471da714c044131b90c133701e51b877c246677
@@ -96,7 +96,6 @@ variable {hom}
attribute [local instance] concrete_category.has_coe_to_fun
-#print CategoryTheory.BundledHom.mkHasForget₂ /-
/-- A version of `has_forget₂.mk'` for categories defined using `@bundled_hom`. -/
def mkHasForget₂ {d : Type u → Type u} {hom_d : ∀ ⦃α β : Type u⦄ (Iα : d α) (Iβ : d β), Type u}
[BundledHom hom_d] (obj : ∀ ⦃α⦄, c α → d α)
@@ -106,7 +105,6 @@ def mkHasForget₂ {d : Type u → Type u} {hom_d : ∀ ⦃α β : Type u⦄ (I
HasForget₂.mk' (Bundled.map @obj) (fun _ => rfl) (@map)
(by intros <;> apply hEq_of_eq <;> apply h_map)
#align category_theory.bundled_hom.mk_has_forget₂ CategoryTheory.BundledHom.mkHasForget₂
--/
variable {d : Type u → Type u}
@@ -169,13 +167,11 @@ instance bundledHomOfParentProjection (F : ∀ {α}, d α → c α) [ParentProje
#align category_theory.bundled_hom.bundled_hom_of_parent_projection CategoryTheory.BundledHom.bundledHomOfParentProjection
-/
-#print CategoryTheory.BundledHom.forget₂ /-
instance forget₂ (F : ∀ {α}, d α → c α) [ParentProjection @F] : HasForget₂ (Bundled d) (Bundled c)
where forget₂ :=
{ obj := fun X => ⟨X, F X.2⟩
map := fun X Y f => f }
#align category_theory.bundled_hom.forget₂ CategoryTheory.BundledHom.forget₂
--/
#print CategoryTheory.BundledHom.forget₂Full /-
instance forget₂Full (F : ∀ {α}, d α → c α) [ParentProjection @F] :
mathlib commit https://github.com/leanprover-community/mathlib/commit/1f4705ccdfe1e557fc54a0ce081a05e33d2e6240
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Yury Kudryashov
! This file was ported from Lean 3 source module category_theory.concrete_category.bundled_hom
-! leanprover-community/mathlib commit 77ca1ed347337ecbafa9d9f4a55e330e44e9f9f8
+! leanprover-community/mathlib commit 932872382355f00112641d305ba0619305dc8642
! 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.ConcreteCategory.Bundled
/-!
# Category instances for algebraic structures that use bundled homs.
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
Many algebraic structures in Lean initially used unbundled homs (e.g. a bare function between types,
along with an `is_monoid_hom` typeclass), but the general trend is towards using bundled homs.
mathlib commit https://github.com/leanprover-community/mathlib/commit/da3fc4a33ff6bc75f077f691dc94c217b8d41559
@@ -28,6 +28,7 @@ namespace CategoryTheory
variable {c : Type u → Type u} (hom : ∀ ⦃α β : Type u⦄ (Iα : c α) (Iβ : c β), Type u)
+#print CategoryTheory.BundledHom /-
/-- Class for bundled homs. Note that the arguments order follows that of lemmas for `monoid_hom`.
This way we can use `⟨@monoid_hom.to_fun, @monoid_hom.id ...⟩` in an instance. -/
structure BundledHom where
@@ -42,6 +43,7 @@ structure BundledHom where
to_fun Iα Iγ (comp Iα Iβ Iγ g f) = to_fun Iβ Iγ g ∘ to_fun Iα Iβ f := by
obviously
#align category_theory.bundled_hom CategoryTheory.BundledHom
+-/
attribute [class] bundled_hom
@@ -53,6 +55,7 @@ variable [𝒞 : BundledHom hom]
include 𝒞
+#print CategoryTheory.BundledHom.category /-
/-- Every `@bundled_hom c _` defines a category with objects in `bundled c`.
This instance generates the type-class problem `bundled_hom ?m` (which is why this is marked as
@@ -67,7 +70,9 @@ instance category : Category (Bundled c) := by
assoc' := _ } <;> intros <;> apply 𝒞.hom_ext <;>
simp only [𝒞.id_to_fun, 𝒞.comp_to_fun, Function.left_id, Function.right_id]
#align category_theory.bundled_hom.category CategoryTheory.BundledHom.category
+-/
+#print CategoryTheory.BundledHom.concreteCategory /-
/-- A category given by `bundled_hom` is a concrete category.
This instance generates the type-class problem `bundled_hom ?m` (which is why this is marked as
@@ -82,11 +87,13 @@ instance concreteCategory : ConcreteCategory.{u} (Bundled c)
map_comp' := by intros <;> erw [𝒞.comp_to_fun] <;> rfl }
forget_faithful := { map_injective' := by intros <;> apply 𝒞.hom_ext }
#align category_theory.bundled_hom.concrete_category CategoryTheory.BundledHom.concreteCategory
+-/
variable {hom}
attribute [local instance] concrete_category.has_coe_to_fun
+#print CategoryTheory.BundledHom.mkHasForget₂ /-
/-- A version of `has_forget₂.mk'` for categories defined using `@bundled_hom`. -/
def mkHasForget₂ {d : Type u → Type u} {hom_d : ∀ ⦃α β : Type u⦄ (Iα : d α) (Iβ : d β), Type u}
[BundledHom hom_d] (obj : ∀ ⦃α⦄, c α → d α)
@@ -96,6 +103,7 @@ def mkHasForget₂ {d : Type u → Type u} {hom_d : ∀ ⦃α β : Type u⦄ (I
HasForget₂.mk' (Bundled.map @obj) (fun _ => rfl) (@map)
(by intros <;> apply hEq_of_eq <;> apply h_map)
#align category_theory.bundled_hom.mk_has_forget₂ CategoryTheory.BundledHom.mkHasForget₂
+-/
variable {d : Type u → Type u}
@@ -105,6 +113,7 @@ section
omit 𝒞
+#print CategoryTheory.BundledHom.MapHom /-
/-- The `hom` corresponding to first forgetting along `F`, then taking the `hom` associated to `c`.
For typical usage, see the construction of `CommMon` from `Mon`.
@@ -113,9 +122,11 @@ For typical usage, see the construction of `CommMon` from `Mon`.
def MapHom (F : ∀ {α}, d α → c α) : ∀ ⦃α β : Type u⦄ (Iα : d α) (Iβ : d β), Type u :=
fun α β iα iβ => hom (F iα) (F iβ)
#align category_theory.bundled_hom.map_hom CategoryTheory.BundledHom.MapHom
+-/
end
+#print CategoryTheory.BundledHom.map /-
/-- Construct the `bundled_hom` induced by a map between type classes.
This is useful for building categories such as `CommMon` from `Mon`.
-/
@@ -126,11 +137,13 @@ def map (F : ∀ {α}, d α → c α) : BundledHom (MapHom hom @F)
comp α β γ iα iβ iγ f g := 𝒞.comp (F iα) (F iβ) (F iγ) f g
hom_ext α β iα iβ f g h := 𝒞.hom_ext (F iα) (F iβ) h
#align category_theory.bundled_hom.map CategoryTheory.BundledHom.map
+-/
section
omit 𝒞
+#print CategoryTheory.BundledHom.ParentProjection /-
/-- We use the empty `parent_projection` class to label functions like `comm_monoid.to_monoid`,
which we would like to use to automatically construct `bundled_hom` instances from.
@@ -140,25 +153,32 @@ this allows us to set up `CommMon` by defining an instance
-/
class ParentProjection (F : ∀ {α}, d α → c α)
#align category_theory.bundled_hom.parent_projection CategoryTheory.BundledHom.ParentProjection
+-/
end
+#print CategoryTheory.BundledHom.bundledHomOfParentProjection /-
-- The `parent_projection` typeclass is just a marker, so won't be used.
@[nolint unused_arguments]
instance bundledHomOfParentProjection (F : ∀ {α}, d α → c α) [ParentProjection @F] :
BundledHom (MapHom hom @F) :=
map hom @F
#align category_theory.bundled_hom.bundled_hom_of_parent_projection CategoryTheory.BundledHom.bundledHomOfParentProjection
+-/
+#print CategoryTheory.BundledHom.forget₂ /-
instance forget₂ (F : ∀ {α}, d α → c α) [ParentProjection @F] : HasForget₂ (Bundled d) (Bundled c)
where forget₂ :=
{ obj := fun X => ⟨X, F X.2⟩
map := fun X Y f => f }
#align category_theory.bundled_hom.forget₂ CategoryTheory.BundledHom.forget₂
+-/
+#print CategoryTheory.BundledHom.forget₂Full /-
instance forget₂Full (F : ∀ {α}, d α → c α) [ParentProjection @F] :
Full (forget₂ (Bundled d) (Bundled c)) where preimage X Y f := f
#align category_theory.bundled_hom.forget₂_full CategoryTheory.BundledHom.forget₂Full
+-/
end BundledHom
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
Functor.Full
a Prop (#12449)
Before this PR, Functor.Full
contained the data of the preimage of maps by a full functor F
. This PR makes Functor.Full
a proposition. This is to prevent any diamond to appear.
The lemma Functor.image_preimage
is also renamed Functor.map_preimage
.
Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
@@ -151,9 +151,10 @@ instance forget₂ (F : ∀ {α}, d α → c α) [ParentProjection @F] :
map := @fun X Y f => f }
#align category_theory.bundled_hom.forget₂ CategoryTheory.BundledHom.forget₂
-instance forget₂Full (F : ∀ {α}, d α → c α) [ParentProjection @F] :
- Functor.Full (CategoryTheory.forget₂ (Bundled d) (Bundled c)) where preimage X Y {f} := f
-#align category_theory.bundled_hom.forget₂_full CategoryTheory.BundledHom.forget₂Full
+instance forget₂_full (F : ∀ {α}, d α → c α) [ParentProjection @F] :
+ Functor.Full (CategoryTheory.forget₂ (Bundled d) (Bundled c)) where
+ map_surjective f := ⟨f, rfl⟩
+#align category_theory.bundled_hom.forget₂_full CategoryTheory.BundledHom.forget₂_full
end BundledHom
These notions on functors are now Functor.Full
, Functor.Faithful
, Functor.EssSurj
, Functor.IsEquivalence
, Functor.ReflectsIsomorphisms
. Deprecated aliases are introduced for the previous names.
@@ -152,7 +152,7 @@ instance forget₂ (F : ∀ {α}, d α → c α) [ParentProjection @F] :
#align category_theory.bundled_hom.forget₂ CategoryTheory.BundledHom.forget₂
instance forget₂Full (F : ∀ {α}, d α → c α) [ParentProjection @F] :
- Full (CategoryTheory.forget₂ (Bundled d) (Bundled c)) where preimage X Y {f} := f
+ Functor.Full (CategoryTheory.forget₂ (Bundled d) (Bundled c)) where preimage X Y {f} := f
#align category_theory.bundled_hom.forget₂_full CategoryTheory.BundledHom.forget₂Full
end BundledHom
Empty lines were removed by executing the following Python script twice
import os
import re
# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
for filename in files:
if filename.endswith('.lean'):
file_path = os.path.join(dir_path, filename)
# Open the file and read its contents
with open(file_path, 'r') as file:
content = file.read()
# Use a regular expression to replace sequences of "variable" lines separated by empty lines
# with sequences without empty lines
modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)
# Write the modified content back to the file
with open(file_path, 'w') as file:
file.write(modified_content)
@@ -97,7 +97,6 @@ def mkHasForget₂ {d : Type u → Type u} {hom_d : ∀ ⦃α β : Type u⦄ (_
#align category_theory.bundled_hom.mk_has_forget₂ CategoryTheory.BundledHom.mkHasForget₂
variable {d : Type u → Type u}
-
variable (hom)
section
@@ -54,9 +54,6 @@ namespace BundledHom
variable [𝒞 : BundledHom hom]
--- porting note: include not needed
--- include 𝒞
-
set_option synthInstance.checkSynthOrder false in
/-- Every `@BundledHom c _` defines a category with objects in `Bundled c`.
@@ -105,9 +102,6 @@ variable (hom)
section
--- porting note: commented out
--- omit 𝒞
-
/-- The `hom` corresponding to first forgetting along `F`, then taking the `hom` associated to `c`.
For typical usage, see the construction of `CommMonCat` from `MonCat`.
@@ -132,9 +126,6 @@ def map (F : ∀ {α}, d α → c α) : BundledHom (MapHom hom @F)
section
--- porting note: commented out
---omit 𝒞
-
/-- We use the empty `ParentProjection` class to label functions like `CommMonoid.toMonoid`,
which we would like to use to automatically construct `BundledHom` instances from.
FunLike
(#9833)
This follows up from #9785, which renamed FunLike
to DFunLike
, by introducing a new abbreviation FunLike F α β := DFunLike F α (fun _ => β)
, to make the non-dependent use of FunLike
easier.
I searched for the pattern DFunLike.*fun
and DFunLike.*λ
in all files to replace expressions of the form DFunLike F α (fun _ => β)
with FunLike F α β
. I did this everywhere except for extends
clauses for two reasons: it would conflict with #8386, and more importantly extends
must directly refer to a structure with no unfolding of def
s or abbrev
s.
@@ -86,7 +86,7 @@ instance concreteCategory : ConcreteCategory.{u} (Bundled c)
variable {hom}
-attribute [local instance] ConcreteCategory.instDFunLike
+attribute [local instance] ConcreteCategory.instFunLike
/-- A version of `HasForget₂.mk'` for categories defined using `@BundledHom`. -/
def mkHasForget₂ {d : Type u → Type u} {hom_d : ∀ ⦃α β : Type u⦄ (_ : d α) (_ : d β), Type u}
FunLike
to DFunLike
(#9785)
This prepares for the introduction of a non-dependent synonym of FunLike, which helps a lot with keeping #8386 readable.
This is entirely search-and-replace in 680197f combined with manual fixes in 4145626, e900597 and b8428f8. The commands that generated this change:
sed -i 's/\bFunLike\b/DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoFunLike\b/toDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/import Mathlib.Data.DFunLike/import Mathlib.Data.FunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bHom_FunLike\b/Hom_DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\binstFunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bfunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoo many metavariables to apply `fun_like.has_coe_to_fun`/too many metavariables to apply `DFunLike.hasCoeToFun`/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
Co-authored-by: Anne Baanen <Vierkantor@users.noreply.github.com>
@@ -86,7 +86,7 @@ instance concreteCategory : ConcreteCategory.{u} (Bundled c)
variable {hom}
-attribute [local instance] ConcreteCategory.funLike
+attribute [local instance] ConcreteCategory.instDFunLike
/-- A version of `HasForget₂.mk'` for categories defined using `@BundledHom`. -/
def mkHasForget₂ {d : Type u → Type u} {hom_d : ∀ ⦃α β : Type u⦄ (_ : d α) (_ : d β), Type u}
The new precedences match coeNotation
in core:
syntax:1024 (name := coeNotation) "↑" term:1024 : term
They also match the precedence in Lean 3.
@@ -92,7 +92,7 @@ attribute [local instance] ConcreteCategory.funLike
def mkHasForget₂ {d : Type u → Type u} {hom_d : ∀ ⦃α β : Type u⦄ (_ : d α) (_ : d β), Type u}
[BundledHom hom_d] (obj : ∀ ⦃α⦄, c α → d α)
(map : ∀ {X Y : Bundled c}, (X ⟶ Y) → (Bundled.map @obj X ⟶ (Bundled.map @obj Y)))
- (h_map : ∀ {X Y : Bundled c} (f : X ⟶ Y), ⇑map f = ⇑f) :
+ (h_map : ∀ {X Y : Bundled c} (f : X ⟶ Y), ⇑(map f) = ⇑f) :
HasForget₂ (Bundled c) (Bundled d) :=
HasForget₂.mk' (Bundled.map @obj) (fun _ => rfl) map (by
intros X Y f
@@ -154,8 +154,9 @@ instance bundledHomOfParentProjection (F : ∀ {α}, d α → c α) [ParentProje
map hom @F
#align category_theory.bundled_hom.bundled_hom_of_parent_projection CategoryTheory.BundledHom.bundledHomOfParentProjection
-instance forget₂ (F : ∀ {α}, d α → c α) [ParentProjection @F] : HasForget₂ (Bundled d) (Bundled c)
- where forget₂ :=
+instance forget₂ (F : ∀ {α}, d α → c α) [ParentProjection @F] :
+ HasForget₂ (Bundled d) (Bundled c) where
+ forget₂ :=
{ obj := fun X => ⟨X, F X.2⟩
map := @fun X Y f => f }
#align category_theory.bundled_hom.forget₂ CategoryTheory.BundledHom.forget₂
@@ -142,7 +142,7 @@ Once we've set up `MonCat` as the category of bundled monoids,
this allows us to set up `CommMonCat` by defining an instance
```instance : ParentProjection (CommMonoid.toMonoid) := ⟨⟩```
-/
-class ParentProjection (F : ∀ {α}, d α → c α)
+class ParentProjection (F : ∀ {α}, d α → c α) : Prop
#align category_theory.bundled_hom.parent_projection CategoryTheory.BundledHom.ParentProjection
end
@@ -2,15 +2,12 @@
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Yury Kudryashov
-
-! This file was ported from Lean 3 source module category_theory.concrete_category.bundled_hom
-! leanprover-community/mathlib commit 77ca1ed347337ecbafa9d9f4a55e330e44e9f9f8
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.CategoryTheory.ConcreteCategory.Basic
import Mathlib.CategoryTheory.ConcreteCategory.Bundled
+#align_import category_theory.concrete_category.bundled_hom from "leanprover-community/mathlib"@"77ca1ed347337ecbafa9d9f4a55e330e44e9f9f8"
+
/-!
# Category instances for algebraic structures that use bundled homs.
@@ -89,7 +89,7 @@ instance concreteCategory : ConcreteCategory.{u} (Bundled c)
variable {hom}
-attribute [local instance] ConcreteCategory.hasCoeToFun
+attribute [local instance] ConcreteCategory.funLike
/-- A version of `HasForget₂.mk'` for categories defined using `@BundledHom`. -/
def mkHasForget₂ {d : Type u → Type u} {hom_d : ∀ ⦃α β : Type u⦄ (_ : d α) (_ : d β), Type u}
@@ -99,7 +99,7 @@ def mkHasForget₂ {d : Type u → Type u} {hom_d : ∀ ⦃α β : Type u⦄ (_
HasForget₂ (Bundled c) (Bundled d) :=
HasForget₂.mk' (Bundled.map @obj) (fun _ => rfl) map (by
intros X Y f
- rw [heq_eq_eq, h_map])
+ rw [heq_eq_eq, forget_map_eq_coe, forget_map_eq_coe, h_map f])
#align category_theory.bundled_hom.mk_has_forget₂ CategoryTheory.BundledHom.mkHasForget₂
variable {d : Type u → Type u}
fix-comments.py
on all files.@@ -113,7 +113,7 @@ section
/-- The `hom` corresponding to first forgetting along `F`, then taking the `hom` associated to `c`.
-For typical usage, see the construction of `CommMon` from `Mon`.
+For typical usage, see the construction of `CommMonCat` from `MonCat`.
-/
@[reducible]
def MapHom (F : ∀ {α}, d α → c α) : ∀ ⦃α β : Type u⦄ (_ : d α) (_ : d β), Type u :=
@@ -123,7 +123,7 @@ def MapHom (F : ∀ {α}, d α → c α) : ∀ ⦃α β : Type u⦄ (_ : d α) (
end
/-- Construct the `CategoryTheory.BundledHom` induced by a map between type classes.
-This is useful for building categories such as `CommMon` from `Mon`.
+This is useful for building categories such as `CommMonCat` from `MonCat`.
-/
def map (F : ∀ {α}, d α → c α) : BundledHom (MapHom hom @F)
where
@@ -141,8 +141,8 @@ section
/-- We use the empty `ParentProjection` class to label functions like `CommMonoid.toMonoid`,
which we would like to use to automatically construct `BundledHom` instances from.
-Once we've set up `Mon` as the category of bundled monoids,
-this allows us to set up `CommMon` by defining an instance
+Once we've set up `MonCat` as the category of bundled monoids,
+this allows us to set up `CommMonCat` by defining an instance
```instance : ParentProjection (CommMonoid.toMonoid) := ⟨⟩```
-/
class ParentProjection (F : ∀ {α}, d α → c α)
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>
@@ -79,7 +79,7 @@ instance category : Category (Bundled c) := by
/-- A category given by `BundledHom` is a concrete category. -/
instance concreteCategory : ConcreteCategory.{u} (Bundled c)
where
- Forget :=
+ forget :=
{ obj := fun X => X
map := @fun X Y f => 𝒞.toFun X.str Y.str f
map_id := fun X => 𝒞.id_toFun X.str
@@ -60,11 +60,12 @@ variable [𝒞 : BundledHom hom]
-- porting note: include not needed
-- include 𝒞
+set_option synthInstance.checkSynthOrder false in
/-- Every `@BundledHom c _` defines a category with objects in `Bundled c`.
-This instance generates the type-class problem `BundledHom ?m` (which is why this is marked as
-`[nolint]`). Currently that is not a problem, as there are almost no instances of `BundledHom`. -/
-@[nolint dangerousInstance]
+This instance generates the type-class problem `BundledHom ?m`.
+Currently that is not a problem, as there are almost no instances of `BundledHom`.
+-/
instance category : Category (Bundled c) := by
refine' { Hom := fun X Y => @hom X Y X.str Y.str
id := fun X => @BundledHom.id c hom 𝒞 X X.str
@@ -75,11 +76,7 @@ instance category : Category (Bundled c) := by
aesop_cat
#align category_theory.bundled_hom.category CategoryTheory.BundledHom.category
-/-- A category given by `BundledHom` is a concrete category.
-
-This instance generates the type-class problem `BundledHom ?m` (which is why this is marked as
-`[nolint]`). Currently that is not a problem, as there are almost no instances of `BundledHom`. -/
-@[nolint dangerousInstance]
+/-- A category given by `BundledHom` is a concrete category. -/
instance concreteCategory : ConcreteCategory.{u} (Bundled c)
where
Forget :=
Co-authored-by: Moritz Firsching <firsching@google.com> Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr>
All dependencies are ported!