category_theory.category.GroupoidMathlib.CategoryTheory.Category.Grpd

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
@@ -102,9 +102,9 @@ def forgetToCat : Grpd.{v, u} ⥤ Cat.{v, u}
 #align category_theory.Groupoid.forget_to_Cat CategoryTheory.Grpd.forgetToCat
 -/
 
-#print CategoryTheory.Grpd.forgetToCatFull /-
-instance forgetToCatFull : CategoryTheory.Functor.Full forgetToCat where preimage C D := id
-#align category_theory.Groupoid.forget_to_Cat_full CategoryTheory.Grpd.forgetToCatFull
+#print CategoryTheory.Grpd.forgetToCat_full /-
+instance forgetToCat_full : CategoryTheory.Functor.Full forgetToCat where preimage C D := id
+#align category_theory.Groupoid.forget_to_Cat_full CategoryTheory.Grpd.forgetToCat_full
 -/
 
 #print CategoryTheory.Grpd.forgetToCat_faithful /-
Diff
@@ -103,12 +103,12 @@ def forgetToCat : Grpd.{v, u} ⥤ Cat.{v, u}
 -/
 
 #print CategoryTheory.Grpd.forgetToCatFull /-
-instance forgetToCatFull : Full forgetToCat where preimage C D := id
+instance forgetToCatFull : CategoryTheory.Functor.Full forgetToCat where preimage C D := id
 #align category_theory.Groupoid.forget_to_Cat_full CategoryTheory.Grpd.forgetToCatFull
 -/
 
 #print CategoryTheory.Grpd.forgetToCat_faithful /-
-instance forgetToCat_faithful : Faithful forgetToCat where
+instance forgetToCat_faithful : CategoryTheory.Functor.Faithful forgetToCat where
 #align category_theory.Groupoid.forget_to_Cat_faithful CategoryTheory.Grpd.forgetToCat_faithful
 -/
 
Diff
@@ -3,10 +3,10 @@ Copyright (c) 2019 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 -/
-import Mathbin.CategoryTheory.SingleObj
-import Mathbin.CategoryTheory.Limits.Shapes.Products
-import Mathbin.CategoryTheory.Pi.Basic
-import Mathbin.CategoryTheory.Limits.IsLimit
+import CategoryTheory.SingleObj
+import CategoryTheory.Limits.Shapes.Products
+import CategoryTheory.Pi.Basic
+import CategoryTheory.Limits.IsLimit
 
 #align_import category_theory.category.Groupoid from "leanprover-community/mathlib"@"fe8d0ff42c3c24d789f491dc2622b6cac3d61564"
 
Diff
@@ -2,17 +2,14 @@
 Copyright (c) 2019 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
-
-! This file was ported from Lean 3 source module category_theory.category.Groupoid
-! leanprover-community/mathlib commit fe8d0ff42c3c24d789f491dc2622b6cac3d61564
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.SingleObj
 import Mathbin.CategoryTheory.Limits.Shapes.Products
 import Mathbin.CategoryTheory.Pi.Basic
 import Mathbin.CategoryTheory.Limits.IsLimit
 
+#align_import category_theory.category.Groupoid from "leanprover-community/mathlib"@"fe8d0ff42c3c24d789f491dc2622b6cac3d61564"
+
 /-!
 # Category of groupoids
 
Diff
@@ -67,10 +67,12 @@ def of (C : Type u) [Groupoid.{v} C] : Grpd.{v, u} :=
 #align category_theory.Groupoid.of CategoryTheory.Grpd.of
 -/
 
+#print CategoryTheory.Grpd.coe_of /-
 @[simp]
 theorem coe_of (C : Type u) [Groupoid C] : (of C : Type u) = C :=
   rfl
 #align category_theory.Groupoid.coe_of CategoryTheory.Grpd.coe_of
+-/
 
 #print CategoryTheory.Grpd.category /-
 /-- Category structure on `Groupoid` -/
@@ -103,11 +105,15 @@ def forgetToCat : Grpd.{v, u} ⥤ Cat.{v, u}
 #align category_theory.Groupoid.forget_to_Cat CategoryTheory.Grpd.forgetToCat
 -/
 
+#print CategoryTheory.Grpd.forgetToCatFull /-
 instance forgetToCatFull : Full forgetToCat where preimage C D := id
 #align category_theory.Groupoid.forget_to_Cat_full CategoryTheory.Grpd.forgetToCatFull
+-/
 
+#print CategoryTheory.Grpd.forgetToCat_faithful /-
 instance forgetToCat_faithful : Faithful forgetToCat where
 #align category_theory.Groupoid.forget_to_Cat_faithful CategoryTheory.Grpd.forgetToCat_faithful
+-/
 
 #print CategoryTheory.Grpd.hom_to_functor /-
 /-- Convert arrows in the category of groupoids to functors,
Diff
@@ -139,7 +139,7 @@ def piLimitFan ⦃J : Type u⦄ (F : J → Grpd.{u, u}) : Limits.Fan F :=
 /-- The product fan over an indexed family of groupoids, is a limit cone. -/
 def piLimitFanIsLimit ⦃J : Type u⦄ (F : J → Grpd.{u, u}) : Limits.IsLimit (piLimitFan F) :=
   Limits.mkFanLimit (piLimitFan F) (fun s => Functor.pi' fun j => s.proj j)
-    (by intros ; dsimp only [pi_limit_fan]; simp [hom_to_functor])
+    (by intros; dsimp only [pi_limit_fan]; simp [hom_to_functor])
     (by
       intro s m w
       apply functor.pi_ext
Diff
@@ -67,12 +67,6 @@ def of (C : Type u) [Groupoid.{v} C] : Grpd.{v, u} :=
 #align category_theory.Groupoid.of CategoryTheory.Grpd.of
 -/
 
-/- warning: category_theory.Groupoid.coe_of -> CategoryTheory.Grpd.coe_of is a dubious translation:
-lean 3 declaration is
-  forall (C : Type.{u1}) [_inst_1 : CategoryTheory.Groupoid.{u2, u1} C], Eq.{succ (succ u1)} Type.{u1} (coeSort.{succ (max (succ u1) u1 (succ u2)), succ (succ u1)} CategoryTheory.Grpd.{u2, u1} Type.{u1} CategoryTheory.Grpd.hasCoeToSort.{u1, u2} (CategoryTheory.Grpd.of.{u2, u1} C _inst_1)) C
-but is expected to have type
-  forall (C : Type.{u2}) [_inst_1 : CategoryTheory.Groupoid.{u1, u2} C], Eq.{succ (succ u2)} Type.{u2} (CategoryTheory.Bundled.α.{u2, max u2 (succ u1)} CategoryTheory.Groupoid.{u1, u2} (CategoryTheory.Grpd.of.{u1, u2} C _inst_1)) C
-Case conversion may be inaccurate. Consider using '#align category_theory.Groupoid.coe_of CategoryTheory.Grpd.coe_ofₓ'. -/
 @[simp]
 theorem coe_of (C : Type u) [Groupoid C] : (of C : Type u) = C :=
   rfl
@@ -109,21 +103,9 @@ def forgetToCat : Grpd.{v, u} ⥤ Cat.{v, u}
 #align category_theory.Groupoid.forget_to_Cat CategoryTheory.Grpd.forgetToCat
 -/
 
-/- warning: category_theory.Groupoid.forget_to_Cat_full -> CategoryTheory.Grpd.forgetToCatFull is a dubious translation:
-lean 3 declaration is
-  CategoryTheory.Full.{max u1 u2, max u1 u2, max (succ u2) u2 (succ u1), max (succ u2) u2 (succ u1)} CategoryTheory.Grpd.{u1, u2} CategoryTheory.Grpd.category.{u1, u2} CategoryTheory.Cat.{u1, u2} CategoryTheory.Cat.category.{u1, u2} CategoryTheory.Grpd.forgetToCat.{u1, u2}
-but is expected to have type
-  CategoryTheory.Full.{max u1 u2, max u1 u2, max (succ u1) (succ u2), max (succ u1) (succ u2)} CategoryTheory.Grpd.{u2, u1} CategoryTheory.Grpd.category.{u2, u1} CategoryTheory.Cat.{u2, u1} CategoryTheory.Cat.category.{u2, u1} CategoryTheory.Grpd.forgetToCat.{u2, u1}
-Case conversion may be inaccurate. Consider using '#align category_theory.Groupoid.forget_to_Cat_full CategoryTheory.Grpd.forgetToCatFullₓ'. -/
 instance forgetToCatFull : Full forgetToCat where preimage C D := id
 #align category_theory.Groupoid.forget_to_Cat_full CategoryTheory.Grpd.forgetToCatFull
 
-/- warning: category_theory.Groupoid.forget_to_Cat_faithful -> CategoryTheory.Grpd.forgetToCat_faithful is a dubious translation:
-lean 3 declaration is
-  CategoryTheory.Faithful.{max u1 u2, max u1 u2, max (succ u2) u2 (succ u1), max (succ u2) u2 (succ u1)} CategoryTheory.Grpd.{u1, u2} CategoryTheory.Grpd.category.{u1, u2} CategoryTheory.Cat.{u1, u2} CategoryTheory.Cat.category.{u1, u2} CategoryTheory.Grpd.forgetToCat.{u1, u2}
-but is expected to have type
-  CategoryTheory.Faithful.{max u1 u2, max u1 u2, max (succ u1) (succ u2), max (succ u1) (succ u2)} CategoryTheory.Grpd.{u2, u1} CategoryTheory.Grpd.category.{u2, u1} CategoryTheory.Cat.{u2, u1} CategoryTheory.Cat.category.{u2, u1} CategoryTheory.Grpd.forgetToCat.{u2, u1}
-Case conversion may be inaccurate. Consider using '#align category_theory.Groupoid.forget_to_Cat_faithful CategoryTheory.Grpd.forgetToCat_faithfulₓ'. -/
 instance forgetToCat_faithful : Faithful forgetToCat where
 #align category_theory.Groupoid.forget_to_Cat_faithful CategoryTheory.Grpd.forgetToCat_faithful
 
Diff
@@ -157,10 +157,7 @@ def piLimitFan ⦃J : Type u⦄ (F : J → Grpd.{u, u}) : Limits.Fan F :=
 /-- The product fan over an indexed family of groupoids, is a limit cone. -/
 def piLimitFanIsLimit ⦃J : Type u⦄ (F : J → Grpd.{u, u}) : Limits.IsLimit (piLimitFan F) :=
   Limits.mkFanLimit (piLimitFan F) (fun s => Functor.pi' fun j => s.proj j)
-    (by
-      intros
-      dsimp only [pi_limit_fan]
-      simp [hom_to_functor])
+    (by intros ; dsimp only [pi_limit_fan]; simp [hom_to_functor])
     (by
       intro s m w
       apply functor.pi_ext
@@ -187,10 +184,7 @@ noncomputable def piIsoPi (J : Type u) (f : J → Grpd.{u, u}) : @of (∀ j, f j
 #print CategoryTheory.Grpd.piIsoPi_hom_π /-
 @[simp]
 theorem piIsoPi_hom_π (J : Type u) (f : J → Grpd.{u, u}) (j : J) :
-    (piIsoPi J f).Hom ≫ Limits.Pi.π f j = CategoryTheory.Pi.eval _ j :=
-  by
-  simp [pi_iso_pi]
-  rfl
+    (piIsoPi J f).Hom ≫ Limits.Pi.π f j = CategoryTheory.Pi.eval _ j := by simp [pi_iso_pi]; rfl
 #align category_theory.Groupoid.pi_iso_pi_hom_π CategoryTheory.Grpd.piIsoPi_hom_π
 -/
 
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 
 ! This file was ported from Lean 3 source module category_theory.category.Groupoid
-! leanprover-community/mathlib commit c9c9fa15fec7ca18e9ec97306fb8764bfe988a7e
+! leanprover-community/mathlib commit fe8d0ff42c3c24d789f491dc2622b6cac3d61564
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -16,6 +16,9 @@ import Mathbin.CategoryTheory.Limits.IsLimit
 /-!
 # Category of groupoids
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file contains the definition of the category `Groupoid` of all groupoids.
 In this category objects are groupoids and morphisms are functors
 between these groupoids.
Diff
@@ -34,37 +34,50 @@ universe v u
 
 namespace CategoryTheory
 
+#print CategoryTheory.Grpd /-
 -- intended to be used with explicit universe parameters
 /-- Category of groupoids -/
 @[nolint check_univs]
-def GroupoidCat :=
+def Grpd :=
   Bundled Groupoid.{v, u}
-#align category_theory.Groupoid CategoryTheory.GroupoidCat
+#align category_theory.Groupoid CategoryTheory.Grpd
+-/
 
 namespace Groupoid
 
-instance : Inhabited GroupoidCat :=
+instance : Inhabited Grpd :=
   ⟨Bundled.of (SingleObj PUnit)⟩
 
-instance str (C : GroupoidCat.{v, u}) : Groupoid.{v, u} C.α :=
+#print CategoryTheory.Grpd.str' /-
+instance str' (C : Grpd.{v, u}) : Groupoid.{v, u} C.α :=
   C.str
-#align category_theory.Groupoid.str CategoryTheory.GroupoidCat.str
+#align category_theory.Groupoid.str CategoryTheory.Grpd.str'
+-/
 
-instance : CoeSort GroupoidCat (Type _) :=
+instance : CoeSort Grpd (Type _) :=
   Bundled.hasCoeToSort
 
+#print CategoryTheory.Grpd.of /-
 /-- Construct a bundled `Groupoid` from the underlying type and the typeclass. -/
-def of (C : Type u) [Groupoid.{v} C] : GroupoidCat.{v, u} :=
+def of (C : Type u) [Groupoid.{v} C] : Grpd.{v, u} :=
   Bundled.of C
-#align category_theory.Groupoid.of CategoryTheory.GroupoidCat.of
+#align category_theory.Groupoid.of CategoryTheory.Grpd.of
+-/
 
+/- warning: category_theory.Groupoid.coe_of -> CategoryTheory.Grpd.coe_of is a dubious translation:
+lean 3 declaration is
+  forall (C : Type.{u1}) [_inst_1 : CategoryTheory.Groupoid.{u2, u1} C], Eq.{succ (succ u1)} Type.{u1} (coeSort.{succ (max (succ u1) u1 (succ u2)), succ (succ u1)} CategoryTheory.Grpd.{u2, u1} Type.{u1} CategoryTheory.Grpd.hasCoeToSort.{u1, u2} (CategoryTheory.Grpd.of.{u2, u1} C _inst_1)) C
+but is expected to have type
+  forall (C : Type.{u2}) [_inst_1 : CategoryTheory.Groupoid.{u1, u2} C], Eq.{succ (succ u2)} Type.{u2} (CategoryTheory.Bundled.α.{u2, max u2 (succ u1)} CategoryTheory.Groupoid.{u1, u2} (CategoryTheory.Grpd.of.{u1, u2} C _inst_1)) C
+Case conversion may be inaccurate. Consider using '#align category_theory.Groupoid.coe_of CategoryTheory.Grpd.coe_ofₓ'. -/
 @[simp]
 theorem coe_of (C : Type u) [Groupoid C] : (of C : Type u) = C :=
   rfl
-#align category_theory.Groupoid.coe_of CategoryTheory.GroupoidCat.coe_of
+#align category_theory.Groupoid.coe_of CategoryTheory.Grpd.coe_of
 
+#print CategoryTheory.Grpd.category /-
 /-- Category structure on `Groupoid` -/
-instance category : LargeCategory.{max v u} GroupoidCat.{v, u}
+instance category : LargeCategory.{max v u} Grpd.{v, u}
     where
   Hom C D := C ⥤ D
   id C := 𝟭 C
@@ -72,51 +85,74 @@ instance category : LargeCategory.{max v u} GroupoidCat.{v, u}
   id_comp' C D F := by cases F <;> rfl
   comp_id' C D F := by cases F <;> rfl
   assoc' := by intros <;> rfl
-#align category_theory.Groupoid.category CategoryTheory.GroupoidCat.category
+#align category_theory.Groupoid.category CategoryTheory.Grpd.category
+-/
 
+#print CategoryTheory.Grpd.objects /-
 /-- Functor that gets the set of objects of a groupoid. It is not
 called `forget`, because it is not a faithful functor. -/
-def objects : GroupoidCat.{v, u} ⥤ Type u
-    where
+def objects : Grpd.{v, u} ⥤ Type u where
   obj := Bundled.α
   map C D F := F.obj
-#align category_theory.Groupoid.objects CategoryTheory.GroupoidCat.objects
+#align category_theory.Groupoid.objects CategoryTheory.Grpd.objects
+-/
 
+#print CategoryTheory.Grpd.forgetToCat /-
 /-- Forgetting functor to `Cat` -/
-def forgetToCat : GroupoidCat.{v, u} ⥤ Cat.{v, u}
+def forgetToCat : Grpd.{v, u} ⥤ Cat.{v, u}
     where
   obj C := Cat.of C
   map C D := id
-#align category_theory.Groupoid.forget_to_Cat CategoryTheory.GroupoidCat.forgetToCat
+#align category_theory.Groupoid.forget_to_Cat CategoryTheory.Grpd.forgetToCat
+-/
 
+/- warning: category_theory.Groupoid.forget_to_Cat_full -> CategoryTheory.Grpd.forgetToCatFull is a dubious translation:
+lean 3 declaration is
+  CategoryTheory.Full.{max u1 u2, max u1 u2, max (succ u2) u2 (succ u1), max (succ u2) u2 (succ u1)} CategoryTheory.Grpd.{u1, u2} CategoryTheory.Grpd.category.{u1, u2} CategoryTheory.Cat.{u1, u2} CategoryTheory.Cat.category.{u1, u2} CategoryTheory.Grpd.forgetToCat.{u1, u2}
+but is expected to have type
+  CategoryTheory.Full.{max u1 u2, max u1 u2, max (succ u1) (succ u2), max (succ u1) (succ u2)} CategoryTheory.Grpd.{u2, u1} CategoryTheory.Grpd.category.{u2, u1} CategoryTheory.Cat.{u2, u1} CategoryTheory.Cat.category.{u2, u1} CategoryTheory.Grpd.forgetToCat.{u2, u1}
+Case conversion may be inaccurate. Consider using '#align category_theory.Groupoid.forget_to_Cat_full CategoryTheory.Grpd.forgetToCatFullₓ'. -/
 instance forgetToCatFull : Full forgetToCat where preimage C D := id
-#align category_theory.Groupoid.forget_to_Cat_full CategoryTheory.GroupoidCat.forgetToCatFull
-
+#align category_theory.Groupoid.forget_to_Cat_full CategoryTheory.Grpd.forgetToCatFull
+
+/- warning: category_theory.Groupoid.forget_to_Cat_faithful -> CategoryTheory.Grpd.forgetToCat_faithful is a dubious translation:
+lean 3 declaration is
+  CategoryTheory.Faithful.{max u1 u2, max u1 u2, max (succ u2) u2 (succ u1), max (succ u2) u2 (succ u1)} CategoryTheory.Grpd.{u1, u2} CategoryTheory.Grpd.category.{u1, u2} CategoryTheory.Cat.{u1, u2} CategoryTheory.Cat.category.{u1, u2} CategoryTheory.Grpd.forgetToCat.{u1, u2}
+but is expected to have type
+  CategoryTheory.Faithful.{max u1 u2, max u1 u2, max (succ u1) (succ u2), max (succ u1) (succ u2)} CategoryTheory.Grpd.{u2, u1} CategoryTheory.Grpd.category.{u2, u1} CategoryTheory.Cat.{u2, u1} CategoryTheory.Cat.category.{u2, u1} CategoryTheory.Grpd.forgetToCat.{u2, u1}
+Case conversion may be inaccurate. Consider using '#align category_theory.Groupoid.forget_to_Cat_faithful CategoryTheory.Grpd.forgetToCat_faithfulₓ'. -/
 instance forgetToCat_faithful : Faithful forgetToCat where
-#align category_theory.Groupoid.forget_to_Cat_faithful CategoryTheory.GroupoidCat.forgetToCat_faithful
+#align category_theory.Groupoid.forget_to_Cat_faithful CategoryTheory.Grpd.forgetToCat_faithful
 
+#print CategoryTheory.Grpd.hom_to_functor /-
 /-- Convert arrows in the category of groupoids to functors,
 which sometimes helps in applying simp lemmas -/
-theorem hom_to_functor {C D E : GroupoidCat.{v, u}} (f : C ⟶ D) (g : D ⟶ E) : f ≫ g = f ⋙ g :=
+theorem hom_to_functor {C D E : Grpd.{v, u}} (f : C ⟶ D) (g : D ⟶ E) : f ≫ g = f ⋙ g :=
   rfl
-#align category_theory.Groupoid.hom_to_functor CategoryTheory.GroupoidCat.hom_to_functor
+#align category_theory.Groupoid.hom_to_functor CategoryTheory.Grpd.hom_to_functor
+-/
 
+#print CategoryTheory.Grpd.id_to_functor /-
 /-- Converts identity in the category of groupoids to the functor identity -/
-theorem id_to_functor {C : GroupoidCat.{v, u}} : 𝟭 C = 𝟙 C :=
+theorem id_to_functor {C : Grpd.{v, u}} : 𝟭 C = 𝟙 C :=
   rfl
-#align category_theory.Groupoid.id_to_functor CategoryTheory.GroupoidCat.id_to_functor
+#align category_theory.Groupoid.id_to_functor CategoryTheory.Grpd.id_to_functor
+-/
 
 section Products
 
 attribute [local tidy] tactic.discrete_cases
 
+#print CategoryTheory.Grpd.piLimitFan /-
 /-- Construct the product over an indexed family of groupoids, as a fan. -/
-def piLimitFan ⦃J : Type u⦄ (F : J → GroupoidCat.{u, u}) : Limits.Fan F :=
+def piLimitFan ⦃J : Type u⦄ (F : J → Grpd.{u, u}) : Limits.Fan F :=
   Limits.Fan.mk (@of (∀ j : J, F j) _) fun j => CategoryTheory.Pi.eval _ j
-#align category_theory.Groupoid.pi_limit_fan CategoryTheory.GroupoidCat.piLimitFan
+#align category_theory.Groupoid.pi_limit_fan CategoryTheory.Grpd.piLimitFan
+-/
 
+#print CategoryTheory.Grpd.piLimitFanIsLimit /-
 /-- The product fan over an indexed family of groupoids, is a limit cone. -/
-def piLimitFanIsLimit ⦃J : Type u⦄ (F : J → GroupoidCat.{u, u}) : Limits.IsLimit (piLimitFan F) :=
+def piLimitFanIsLimit ⦃J : Type u⦄ (F : J → Grpd.{u, u}) : Limits.IsLimit (piLimitFan F) :=
   Limits.mkFanLimit (piLimitFan F) (fun s => Functor.pi' fun j => s.proj j)
     (by
       intros
@@ -127,26 +163,33 @@ def piLimitFanIsLimit ⦃J : Type u⦄ (F : J → GroupoidCat.{u, u}) : Limits.I
       apply functor.pi_ext
       intro j; specialize w j
       simpa)
-#align category_theory.Groupoid.pi_limit_fan_is_limit CategoryTheory.GroupoidCat.piLimitFanIsLimit
+#align category_theory.Groupoid.pi_limit_fan_is_limit CategoryTheory.Grpd.piLimitFanIsLimit
+-/
 
-instance has_pi : Limits.HasProducts GroupoidCat.{u, u} :=
+#print CategoryTheory.Grpd.has_pi /-
+instance has_pi : Limits.HasProducts Grpd.{u, u} :=
   Limits.hasProducts_of_limit_fans piLimitFan piLimitFanIsLimit
-#align category_theory.Groupoid.has_pi CategoryTheory.GroupoidCat.has_pi
+#align category_theory.Groupoid.has_pi CategoryTheory.Grpd.has_pi
+-/
 
+#print CategoryTheory.Grpd.piIsoPi /-
 /-- The product of a family of groupoids is isomorphic
 to the product object in the category of Groupoids -/
-noncomputable def piIsoPi (J : Type u) (f : J → GroupoidCat.{u, u}) : @of (∀ j, f j) _ ≅ ∏ f :=
+noncomputable def piIsoPi (J : Type u) (f : J → Grpd.{u, u}) : @of (∀ j, f j) _ ≅ ∏ f :=
   Limits.IsLimit.conePointUniqueUpToIso (piLimitFanIsLimit f)
     (Limits.limit.isLimit (Discrete.functor f))
-#align category_theory.Groupoid.pi_iso_pi CategoryTheory.GroupoidCat.piIsoPi
+#align category_theory.Groupoid.pi_iso_pi CategoryTheory.Grpd.piIsoPi
+-/
 
+#print CategoryTheory.Grpd.piIsoPi_hom_π /-
 @[simp]
-theorem piIsoPi_hom_π (J : Type u) (f : J → GroupoidCat.{u, u}) (j : J) :
+theorem piIsoPi_hom_π (J : Type u) (f : J → Grpd.{u, u}) (j : J) :
     (piIsoPi J f).Hom ≫ Limits.Pi.π f j = CategoryTheory.Pi.eval _ j :=
   by
   simp [pi_iso_pi]
   rfl
-#align category_theory.Groupoid.pi_iso_pi_hom_π CategoryTheory.GroupoidCat.piIsoPi_hom_π
+#align category_theory.Groupoid.pi_iso_pi_hom_π CategoryTheory.Grpd.piIsoPi_hom_π
+-/
 
 end Products
 

Changes in mathlib4

mathlib3
mathlib4
chore(CategoryTheory): make 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>

Diff
@@ -91,9 +91,9 @@ def forgetToCat : Grpd.{v, u} ⥤ Cat.{v, u} where
 set_option linter.uppercaseLean3 false in
 #align category_theory.Groupoid.forget_to_Cat CategoryTheory.Grpd.forgetToCat
 
-instance forgetToCatFull : forgetToCat.Full where preimage := id
+instance forgetToCat_full : forgetToCat.Full where map_surjective f := ⟨f, rfl⟩
 set_option linter.uppercaseLean3 false in
-#align category_theory.Groupoid.forget_to_Cat_full CategoryTheory.Grpd.forgetToCatFull
+#align category_theory.Groupoid.forget_to_Cat_full CategoryTheory.Grpd.forgetToCat_full
 
 instance forgetToCat_faithful : forgetToCat.Faithful where
 set_option linter.uppercaseLean3 false in
chore(CategoryTheory): move Full, Faithful, EssSurj, IsEquivalence and ReflectsIsomorphisms to the Functor namespace (#11985)

These notions on functors are now Functor.Full, Functor.Faithful, Functor.EssSurj, Functor.IsEquivalence, Functor.ReflectsIsomorphisms. Deprecated aliases are introduced for the previous names.

Diff
@@ -91,11 +91,11 @@ def forgetToCat : Grpd.{v, u} ⥤ Cat.{v, u} where
 set_option linter.uppercaseLean3 false in
 #align category_theory.Groupoid.forget_to_Cat CategoryTheory.Grpd.forgetToCat
 
-instance forgetToCatFull : Full forgetToCat where preimage := id
+instance forgetToCatFull : forgetToCat.Full where preimage := id
 set_option linter.uppercaseLean3 false in
 #align category_theory.Groupoid.forget_to_Cat_full CategoryTheory.Grpd.forgetToCatFull
 
-instance forgetToCat_faithful : Faithful forgetToCat where
+instance forgetToCat_faithful : forgetToCat.Faithful where
 set_option linter.uppercaseLean3 false in
 #align category_theory.Groupoid.forget_to_Cat_faithful CategoryTheory.Grpd.forgetToCat_faithful
 
chore: simplify by rfl (#7039)

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

Diff
@@ -70,8 +70,8 @@ instance category : LargeCategory.{max v u} Grpd.{v, u} where
   Hom C D := C ⥤ D
   id C := 𝟭 C
   comp F G := F ⋙ G
-  id_comp _ := by rfl
-  comp_id _ := by rfl
+  id_comp _ := rfl
+  comp_id _ := rfl
   assoc := by intros; rfl
 set_option linter.uppercaseLean3 false in
 #align category_theory.Groupoid.category CategoryTheory.Grpd.category
chore: banish Type _ and Sort _ (#6499)

We remove all possible occurences of Type _ and Sort _ in favor of Type* and Sort*.

This has nice performance benefits.

Diff
@@ -50,7 +50,7 @@ instance str' (C : Grpd.{v, u}) : Groupoid.{v, u} C.α :=
 set_option linter.uppercaseLean3 false in
 #align category_theory.Groupoid.str CategoryTheory.Grpd.str'
 
-instance : CoeSort Grpd (Type _) :=
+instance : CoeSort Grpd (Type*) :=
   Bundled.coeSort
 
 /-- Construct a bundled `Grpd` from the underlying type and the typeclass `Groupoid`. -/
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
@@ -2,17 +2,14 @@
 Copyright (c) 2019 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
-
-! This file was ported from Lean 3 source module category_theory.category.Groupoid
-! leanprover-community/mathlib commit c9c9fa15fec7ca18e9ec97306fb8764bfe988a7e
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.SingleObj
 import Mathlib.CategoryTheory.Limits.Shapes.Products
 import Mathlib.CategoryTheory.Pi.Basic
 import Mathlib.CategoryTheory.Limits.IsLimit
 
+#align_import category_theory.category.Groupoid from "leanprover-community/mathlib"@"c9c9fa15fec7ca18e9ec97306fb8764bfe988a7e"
+
 /-!
 # Category of groupoids
 
chore: remove occurrences of semicolon after space (#5713)

This is the second half of the changes originally in #5699, removing all occurrences of ; after a space and implementing a linter rule to enforce it.

In most cases this 2-character substring has a space after it, so the following command was run first:

find . -type f -name "*.lean" -exec sed -i -E 's/ ; /; /g' {} \;

The remaining cases were few enough in number that they were done manually.

Diff
@@ -75,7 +75,7 @@ instance category : LargeCategory.{max v u} Grpd.{v, u} where
   comp F G := F ⋙ G
   id_comp _ := by rfl
   comp_id _ := by rfl
-  assoc := by intros ; rfl
+  assoc := by intros; rfl
 set_option linter.uppercaseLean3 false in
 #align category_theory.Groupoid.category CategoryTheory.Grpd.category
 
chore: cleanup Discrete porting notes (#4780)

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au>

Diff
@@ -117,8 +117,6 @@ set_option linter.uppercaseLean3 false in
 
 section Products
 
---attribute [local tidy] tactic.discrete_cases
-
 /-- Construct the product over an indexed family of groupoids, as a fan. -/
 def piLimitFan ⦃J : Type u⦄ (F : J → Grpd.{u, u}) : Limits.Fan F :=
   Limits.Fan.mk (@of (∀ j : J, F j) _) fun j => CategoryTheory.Pi.eval _ j
feat: port CategoryTheory.Category.Groupoid (#3761)

Dependencies 3 + 233

234 files ported (98.7%)
86211 lines ported (98.8%)
Show graph

The unported dependencies are