category_theory.limits.shapes.equivalenceMathlib.CategoryTheory.Limits.Shapes.Equivalence

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
@@ -28,7 +28,8 @@ universe v₁ v₂ u₁ u₂
 variable {C : Type u₁} [Category.{v₁} C] {D : Type u₂} [Category.{v₂} D]
 
 #print CategoryTheory.hasInitial_of_equivalence /-
-theorem hasInitial_of_equivalence (e : D ⥤ C) [IsEquivalence e] [HasInitial C] : HasInitial D :=
+theorem hasInitial_of_equivalence (e : D ⥤ C) [CategoryTheory.Functor.IsEquivalence e]
+    [HasInitial C] : HasInitial D :=
   Adjunction.hasColimitsOfShape_of_equivalence e
 #align category_theory.has_initial_of_equivalence CategoryTheory.hasInitial_of_equivalence
 -/
@@ -40,7 +41,8 @@ theorem Equivalence.hasInitial_iff (e : C ≌ D) : HasInitial C ↔ HasInitial D
 -/
 
 #print CategoryTheory.hasTerminal_of_equivalence /-
-theorem hasTerminal_of_equivalence (e : D ⥤ C) [IsEquivalence e] [HasTerminal C] : HasTerminal D :=
+theorem hasTerminal_of_equivalence (e : D ⥤ C) [CategoryTheory.Functor.IsEquivalence e]
+    [HasTerminal C] : HasTerminal D :=
   Adjunction.hasLimitsOfShape_of_equivalence e
 #align category_theory.has_terminal_of_equivalence CategoryTheory.hasTerminal_of_equivalence
 -/
Diff
@@ -3,8 +3,8 @@ Copyright (c) Markus Himmel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Markus Himmel
 -/
-import Mathbin.CategoryTheory.Adjunction.Limits
-import Mathbin.CategoryTheory.Limits.Shapes.Terminal
+import CategoryTheory.Adjunction.Limits
+import CategoryTheory.Limits.Shapes.Terminal
 
 #align_import category_theory.limits.shapes.equivalence from "leanprover-community/mathlib"@"f47581155c818e6361af4e4fda60d27d020c226b"
 
Diff
@@ -2,15 +2,12 @@
 Copyright (c) Markus Himmel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Markus Himmel
-
-! This file was ported from Lean 3 source module category_theory.limits.shapes.equivalence
-! leanprover-community/mathlib commit f47581155c818e6361af4e4fda60d27d020c226b
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Adjunction.Limits
 import Mathbin.CategoryTheory.Limits.Shapes.Terminal
 
+#align_import category_theory.limits.shapes.equivalence from "leanprover-community/mathlib"@"f47581155c818e6361af4e4fda60d27d020c226b"
+
 /-!
 # Transporting existence of specific limits across equivalences
 
Diff
@@ -36,9 +36,11 @@ theorem hasInitial_of_equivalence (e : D ⥤ C) [IsEquivalence e] [HasInitial C]
 #align category_theory.has_initial_of_equivalence CategoryTheory.hasInitial_of_equivalence
 -/
 
+#print CategoryTheory.Equivalence.hasInitial_iff /-
 theorem Equivalence.hasInitial_iff (e : C ≌ D) : HasInitial C ↔ HasInitial D :=
   ⟨fun h => has_initial_of_equivalence e.inverse, fun h => has_initial_of_equivalence e.functor⟩
 #align category_theory.equivalence.has_initial_iff CategoryTheory.Equivalence.hasInitial_iff
+-/
 
 #print CategoryTheory.hasTerminal_of_equivalence /-
 theorem hasTerminal_of_equivalence (e : D ⥤ C) [IsEquivalence e] [HasTerminal C] : HasTerminal D :=
@@ -46,9 +48,11 @@ theorem hasTerminal_of_equivalence (e : D ⥤ C) [IsEquivalence e] [HasTerminal
 #align category_theory.has_terminal_of_equivalence CategoryTheory.hasTerminal_of_equivalence
 -/
 
+#print CategoryTheory.Equivalence.hasTerminal_iff /-
 theorem Equivalence.hasTerminal_iff (e : C ≌ D) : HasTerminal C ↔ HasTerminal D :=
   ⟨fun h => has_terminal_of_equivalence e.inverse, fun h => has_terminal_of_equivalence e.functor⟩
 #align category_theory.equivalence.has_terminal_iff CategoryTheory.Equivalence.hasTerminal_iff
+-/
 
 end CategoryTheory
 
Diff
@@ -36,12 +36,6 @@ theorem hasInitial_of_equivalence (e : D ⥤ C) [IsEquivalence e] [HasInitial C]
 #align category_theory.has_initial_of_equivalence CategoryTheory.hasInitial_of_equivalence
 -/
 
-/- warning: category_theory.equivalence.has_initial_iff -> CategoryTheory.Equivalence.hasInitial_iff is a dubious translation:
-lean 3 declaration is
-  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D], (CategoryTheory.Equivalence.{u1, u2, u3, u4} C _inst_1 D _inst_2) -> (Iff (CategoryTheory.Limits.HasInitial.{u1, u3} C _inst_1) (CategoryTheory.Limits.HasInitial.{u2, u4} D _inst_2))
-but is expected to have type
-  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D], (CategoryTheory.Equivalence.{u1, u2, u3, u4} C D _inst_1 _inst_2) -> (Iff (CategoryTheory.Limits.HasInitial.{u1, u3} C _inst_1) (CategoryTheory.Limits.HasInitial.{u2, u4} D _inst_2))
-Case conversion may be inaccurate. Consider using '#align category_theory.equivalence.has_initial_iff CategoryTheory.Equivalence.hasInitial_iffₓ'. -/
 theorem Equivalence.hasInitial_iff (e : C ≌ D) : HasInitial C ↔ HasInitial D :=
   ⟨fun h => has_initial_of_equivalence e.inverse, fun h => has_initial_of_equivalence e.functor⟩
 #align category_theory.equivalence.has_initial_iff CategoryTheory.Equivalence.hasInitial_iff
@@ -52,12 +46,6 @@ theorem hasTerminal_of_equivalence (e : D ⥤ C) [IsEquivalence e] [HasTerminal
 #align category_theory.has_terminal_of_equivalence CategoryTheory.hasTerminal_of_equivalence
 -/
 
-/- warning: category_theory.equivalence.has_terminal_iff -> CategoryTheory.Equivalence.hasTerminal_iff is a dubious translation:
-lean 3 declaration is
-  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D], (CategoryTheory.Equivalence.{u1, u2, u3, u4} C _inst_1 D _inst_2) -> (Iff (CategoryTheory.Limits.HasTerminal.{u1, u3} C _inst_1) (CategoryTheory.Limits.HasTerminal.{u2, u4} D _inst_2))
-but is expected to have type
-  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D], (CategoryTheory.Equivalence.{u1, u2, u3, u4} C D _inst_1 _inst_2) -> (Iff (CategoryTheory.Limits.HasTerminal.{u1, u3} C _inst_1) (CategoryTheory.Limits.HasTerminal.{u2, u4} D _inst_2))
-Case conversion may be inaccurate. Consider using '#align category_theory.equivalence.has_terminal_iff CategoryTheory.Equivalence.hasTerminal_iffₓ'. -/
 theorem Equivalence.hasTerminal_iff (e : C ≌ D) : HasTerminal C ↔ HasTerminal D :=
   ⟨fun h => has_terminal_of_equivalence e.inverse, fun h => has_terminal_of_equivalence e.functor⟩
 #align category_theory.equivalence.has_terminal_iff CategoryTheory.Equivalence.hasTerminal_iff
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Markus Himmel
 
 ! This file was ported from Lean 3 source module category_theory.limits.shapes.equivalence
-! leanprover-community/mathlib commit ea74dc9f981009c33b9971f3389509a88c95cf07
+! leanprover-community/mathlib commit f47581155c818e6361af4e4fda60d27d020c226b
 ! 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.Limits.Shapes.Terminal
 /-!
 # Transporting existence of specific limits across equivalences
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 For now, we only treat the case of initial and terminal objects, but other special shapes can be
 added in the future.
 -/
Diff
@@ -27,18 +27,34 @@ universe v₁ v₂ u₁ u₂
 
 variable {C : Type u₁} [Category.{v₁} C] {D : Type u₂} [Category.{v₂} D]
 
+#print CategoryTheory.hasInitial_of_equivalence /-
 theorem hasInitial_of_equivalence (e : D ⥤ C) [IsEquivalence e] [HasInitial C] : HasInitial D :=
   Adjunction.hasColimitsOfShape_of_equivalence e
 #align category_theory.has_initial_of_equivalence CategoryTheory.hasInitial_of_equivalence
+-/
 
+/- warning: category_theory.equivalence.has_initial_iff -> CategoryTheory.Equivalence.hasInitial_iff is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D], (CategoryTheory.Equivalence.{u1, u2, u3, u4} C _inst_1 D _inst_2) -> (Iff (CategoryTheory.Limits.HasInitial.{u1, u3} C _inst_1) (CategoryTheory.Limits.HasInitial.{u2, u4} D _inst_2))
+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D], (CategoryTheory.Equivalence.{u1, u2, u3, u4} C D _inst_1 _inst_2) -> (Iff (CategoryTheory.Limits.HasInitial.{u1, u3} C _inst_1) (CategoryTheory.Limits.HasInitial.{u2, u4} D _inst_2))
+Case conversion may be inaccurate. Consider using '#align category_theory.equivalence.has_initial_iff CategoryTheory.Equivalence.hasInitial_iffₓ'. -/
 theorem Equivalence.hasInitial_iff (e : C ≌ D) : HasInitial C ↔ HasInitial D :=
   ⟨fun h => has_initial_of_equivalence e.inverse, fun h => has_initial_of_equivalence e.functor⟩
 #align category_theory.equivalence.has_initial_iff CategoryTheory.Equivalence.hasInitial_iff
 
+#print CategoryTheory.hasTerminal_of_equivalence /-
 theorem hasTerminal_of_equivalence (e : D ⥤ C) [IsEquivalence e] [HasTerminal C] : HasTerminal D :=
   Adjunction.hasLimitsOfShape_of_equivalence e
 #align category_theory.has_terminal_of_equivalence CategoryTheory.hasTerminal_of_equivalence
+-/
 
+/- warning: category_theory.equivalence.has_terminal_iff -> CategoryTheory.Equivalence.hasTerminal_iff is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D], (CategoryTheory.Equivalence.{u1, u2, u3, u4} C _inst_1 D _inst_2) -> (Iff (CategoryTheory.Limits.HasTerminal.{u1, u3} C _inst_1) (CategoryTheory.Limits.HasTerminal.{u2, u4} D _inst_2))
+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D], (CategoryTheory.Equivalence.{u1, u2, u3, u4} C D _inst_1 _inst_2) -> (Iff (CategoryTheory.Limits.HasTerminal.{u1, u3} C _inst_1) (CategoryTheory.Limits.HasTerminal.{u2, u4} D _inst_2))
+Case conversion may be inaccurate. Consider using '#align category_theory.equivalence.has_terminal_iff CategoryTheory.Equivalence.hasTerminal_iffₓ'. -/
 theorem Equivalence.hasTerminal_iff (e : C ≌ D) : HasTerminal C ↔ HasTerminal D :=
   ⟨fun h => has_terminal_of_equivalence e.inverse, fun h => has_terminal_of_equivalence e.functor⟩
 #align category_theory.equivalence.has_terminal_iff CategoryTheory.Equivalence.hasTerminal_iff
Diff
@@ -28,7 +28,7 @@ universe v₁ v₂ u₁ u₂
 variable {C : Type u₁} [Category.{v₁} C] {D : Type u₂} [Category.{v₂} D]
 
 theorem hasInitial_of_equivalence (e : D ⥤ C) [IsEquivalence e] [HasInitial C] : HasInitial D :=
-  Adjunction.hasColimitsOfShapeOfEquivalence e
+  Adjunction.hasColimitsOfShape_of_equivalence e
 #align category_theory.has_initial_of_equivalence CategoryTheory.hasInitial_of_equivalence
 
 theorem Equivalence.hasInitial_iff (e : C ≌ D) : HasInitial C ↔ HasInitial D :=
@@ -36,7 +36,7 @@ theorem Equivalence.hasInitial_iff (e : C ≌ D) : HasInitial C ↔ HasInitial D
 #align category_theory.equivalence.has_initial_iff CategoryTheory.Equivalence.hasInitial_iff
 
 theorem hasTerminal_of_equivalence (e : D ⥤ C) [IsEquivalence e] [HasTerminal C] : HasTerminal D :=
-  Adjunction.hasLimitsOfShapeOfEquivalence e
+  Adjunction.hasLimitsOfShape_of_equivalence e
 #align category_theory.has_terminal_of_equivalence CategoryTheory.hasTerminal_of_equivalence
 
 theorem Equivalence.hasTerminal_iff (e : C ≌ D) : HasTerminal C ↔ HasTerminal D :=

Changes in mathlib4

mathlib3
mathlib4
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
@@ -24,7 +24,7 @@ universe v₁ v₂ u₁ u₂
 
 variable {C : Type u₁} [Category.{v₁} C] {D : Type u₂} [Category.{v₂} D]
 
-theorem hasInitial_of_equivalence (e : D ⥤ C) [IsEquivalence e] [HasInitial C] : HasInitial D :=
+theorem hasInitial_of_equivalence (e : D ⥤ C) [e.IsEquivalence] [HasInitial C] : HasInitial D :=
   Adjunction.hasColimitsOfShape_of_equivalence e
 #align category_theory.has_initial_of_equivalence CategoryTheory.hasInitial_of_equivalence
 
@@ -33,7 +33,7 @@ theorem Equivalence.hasInitial_iff (e : C ≌ D) : HasInitial C ↔ HasInitial D
     fun (_ : HasInitial D) => hasInitial_of_equivalence e.functor⟩
 #align category_theory.equivalence.has_initial_iff CategoryTheory.Equivalence.hasInitial_iff
 
-theorem hasTerminal_of_equivalence (e : D ⥤ C) [IsEquivalence e] [HasTerminal C] : HasTerminal D :=
+theorem hasTerminal_of_equivalence (e : D ⥤ C) [e.IsEquivalence] [HasTerminal C] : HasTerminal D :=
   Adjunction.hasLimitsOfShape_of_equivalence e
 #align category_theory.has_terminal_of_equivalence CategoryTheory.hasTerminal_of_equivalence
 
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
@@ -2,15 +2,12 @@
 Copyright (c) Markus Himmel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Markus Himmel
-
-! This file was ported from Lean 3 source module category_theory.limits.shapes.equivalence
-! leanprover-community/mathlib commit ea74dc9f981009c33b9971f3389509a88c95cf07
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Adjunction.Limits
 import Mathlib.CategoryTheory.Limits.Shapes.Terminal
 
+#align_import category_theory.limits.shapes.equivalence from "leanprover-community/mathlib"@"ea74dc9f981009c33b9971f3389509a88c95cf07"
+
 /-!
 # Transporting existence of specific limits across equivalences
 
feat: port CategoryTheory.Limits.Shapes.Equivalence (#2694)

Co-authored-by: Johan Commelin <johan@commelin.net>

Dependencies 86

87 files ported (100.0%)
30602 lines ported (100.0%)

All dependencies are ported!