category_theory.limits.shapes.equivalence
⟷
Mathlib.CategoryTheory.Limits.Shapes.Equivalence
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
@@ -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
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -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"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -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
mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423
@@ -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
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -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
mathlib commit https://github.com/leanprover-community/mathlib/commit/21e3562c5e12d846c7def5eff8cdbc520d7d4936
@@ -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.
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/3b267e70a936eebb21ab546f49a8df34dd300b25
@@ -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
mathlib commit https://github.com/leanprover-community/mathlib/commit/eb0cb4511aaef0da2462207b67358a0e1fe1e2ee
@@ -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 :=
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
These notions on functors are now Functor.Full
, Functor.Faithful
, Functor.EssSurj
, Functor.IsEquivalence
, Functor.ReflectsIsomorphisms
. Deprecated aliases are introduced for the previous names.
@@ -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
@@ -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
All dependencies are ported!