category_theory.localization.opposite
⟷
Mathlib.CategoryTheory.Localization.Opposite
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 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
-import Mathbin.CategoryTheory.Localization.Predicate
+import CategoryTheory.Localization.Predicate
#align_import category_theory.localization.opposite from "leanprover-community/mathlib"@"31ca6f9cf5f90a6206092cd7f84b359dcb6d52e0"
mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504
@@ -52,7 +52,7 @@ def StrictUniversalPropertyFixedTarget.op {E : Type _} [Category E]
-/
#print CategoryTheory.Localization.isLocalization_op /-
-instance isLocalization_op : W.Q.op.IsLocalizationₓ W.op :=
+instance isLocalization_op : W.Q.op.IsLocalization W.op :=
Functor.IsLocalization.mk' W.Q.op W.op (strictUniversalPropertyFixedTargetQ W _).op
(strictUniversalPropertyFixedTargetQ W _).op
#align category_theory.localization.is_localization_op CategoryTheory.Localization.isLocalization_op
@@ -63,7 +63,7 @@ end Localization
namespace Functor
#print CategoryTheory.Functor.IsLocalization.op /-
-instance IsLocalization.op [h : L.IsLocalizationₓ W] : L.op.IsLocalizationₓ W.op :=
+instance IsLocalization.op [h : L.IsLocalization W] : L.op.IsLocalization W.op :=
IsLocalization.of_equivalence_target W.Q.op W.op L.op (Localization.equivalenceFromModel L W).op
(NatIso.op (Localization.qCompEquivalenceFromModelFunctorIso L W).symm)
#align category_theory.functor.is_localization.op CategoryTheory.Functor.IsLocalization.op
mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504
@@ -52,7 +52,7 @@ def StrictUniversalPropertyFixedTarget.op {E : Type _} [Category E]
-/
#print CategoryTheory.Localization.isLocalization_op /-
-instance isLocalization_op : W.Q.op.IsLocalization W.op :=
+instance isLocalization_op : W.Q.op.IsLocalizationₓ W.op :=
Functor.IsLocalization.mk' W.Q.op W.op (strictUniversalPropertyFixedTargetQ W _).op
(strictUniversalPropertyFixedTargetQ W _).op
#align category_theory.localization.is_localization_op CategoryTheory.Localization.isLocalization_op
@@ -63,7 +63,7 @@ end Localization
namespace Functor
#print CategoryTheory.Functor.IsLocalization.op /-
-instance IsLocalization.op [h : L.IsLocalization W] : L.op.IsLocalization W.op :=
+instance IsLocalization.op [h : L.IsLocalizationₓ W] : L.op.IsLocalizationₓ W.op :=
IsLocalization.of_equivalence_target W.Q.op W.op L.op (Localization.equivalenceFromModel L W).op
(NatIso.op (Localization.qCompEquivalenceFromModelFunctorIso L W).symm)
#align category_theory.functor.is_localization.op CategoryTheory.Functor.IsLocalization.op
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,14 +2,11 @@
Copyright (c) 2022 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-
-! This file was ported from Lean 3 source module category_theory.localization.opposite
-! leanprover-community/mathlib commit 31ca6f9cf5f90a6206092cd7f84b359dcb6d52e0
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.CategoryTheory.Localization.Predicate
+#align_import category_theory.localization.opposite from "leanprover-community/mathlib"@"31ca6f9cf5f90a6206092cd7f84b359dcb6d52e0"
+
/-!
# Localization of the opposite category
mathlib commit https://github.com/leanprover-community/mathlib/commit/3cacc945118c8c637d89950af01da78307f59325
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
! This file was ported from Lean 3 source module category_theory.localization.opposite
-! leanprover-community/mathlib commit 8efef279998820353694feb6ff5631ed0d309ecc
+! leanprover-community/mathlib commit 31ca6f9cf5f90a6206092cd7f84b359dcb6d52e0
! 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.Localization.Predicate
# Localization of the opposite category
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
If a functor `L : C ⥤ D` is a localization functor for `W : morphism_property C`, it
is shown in this file that `L.op : Cᵒᵖ ⥤ Dᵒᵖ` is also a localization functor.
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce86f4e05e9a9b8da5e316b22c76ce76440c56a1
@@ -30,6 +30,7 @@ variable {C D : Type _} [Category C] [Category D] {L : C ⥤ D} {W : MorphismPro
namespace Localization
+#print CategoryTheory.Localization.StrictUniversalPropertyFixedTarget.op /-
/-- If `L : C ⥤ D` satisfies the universal property of the localisation
for `W : morphism_property C`, then `L.op` also does. -/
def StrictUniversalPropertyFixedTarget.op {E : Type _} [Category E]
@@ -48,20 +49,25 @@ def StrictUniversalPropertyFixedTarget.op {E : Type _} [Category E]
have eq' := congr_arg functor.right_op Eq
exact h.uniq _ _ eq'
#align category_theory.localization.strict_universal_property_fixed_target.op CategoryTheory.Localization.StrictUniversalPropertyFixedTarget.op
+-/
+#print CategoryTheory.Localization.isLocalization_op /-
instance isLocalization_op : W.Q.op.IsLocalization W.op :=
Functor.IsLocalization.mk' W.Q.op W.op (strictUniversalPropertyFixedTargetQ W _).op
(strictUniversalPropertyFixedTargetQ W _).op
#align category_theory.localization.is_localization_op CategoryTheory.Localization.isLocalization_op
+-/
end Localization
namespace Functor
+#print CategoryTheory.Functor.IsLocalization.op /-
instance IsLocalization.op [h : L.IsLocalization W] : L.op.IsLocalization W.op :=
IsLocalization.of_equivalence_target W.Q.op W.op L.op (Localization.equivalenceFromModel L W).op
(NatIso.op (Localization.qCompEquivalenceFromModelFunctorIso L W).symm)
#align category_theory.functor.is_localization.op CategoryTheory.Functor.IsLocalization.op
+-/
end Functor
mathlib commit https://github.com/leanprover-community/mathlib/commit/b19481deb571022990f1baa9cbf9172e6757a479
@@ -49,8 +49,8 @@ def StrictUniversalPropertyFixedTarget.op {E : Type _} [Category E]
exact h.uniq _ _ eq'
#align category_theory.localization.strict_universal_property_fixed_target.op CategoryTheory.Localization.StrictUniversalPropertyFixedTarget.op
-instance isLocalization_op : W.q.op.IsLocalization W.op :=
- Functor.IsLocalization.mk' W.q.op W.op (strictUniversalPropertyFixedTargetQ W _).op
+instance isLocalization_op : W.Q.op.IsLocalization W.op :=
+ Functor.IsLocalization.mk' W.Q.op W.op (strictUniversalPropertyFixedTargetQ W _).op
(strictUniversalPropertyFixedTargetQ W _).op
#align category_theory.localization.is_localization_op CategoryTheory.Localization.isLocalization_op
@@ -59,7 +59,7 @@ end Localization
namespace Functor
instance IsLocalization.op [h : L.IsLocalization W] : L.op.IsLocalization W.op :=
- IsLocalization.of_equivalence_target W.q.op W.op L.op (Localization.equivalenceFromModel L W).op
+ IsLocalization.of_equivalence_target W.Q.op W.op L.op (Localization.equivalenceFromModel L W).op
(NatIso.op (Localization.qCompEquivalenceFromModelFunctorIso L W).symm)
#align category_theory.functor.is_localization.op CategoryTheory.Functor.IsLocalization.op
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
Type _
and Sort _
(#6499)
We remove all possible occurences of Type _
and Sort _
in favor of Type*
and Sort*
.
This has nice performance benefits.
@@ -23,13 +23,13 @@ open CategoryTheory CategoryTheory.Category
namespace CategoryTheory
-variable {C D : Type _} [Category C] [Category D] {L : C ⥤ D} {W : MorphismProperty C}
+variable {C D : Type*} [Category C] [Category D] {L : C ⥤ D} {W : MorphismProperty C}
namespace Localization
/-- If `L : C ⥤ D` satisfies the universal property of the localisation
for `W : MorphismProperty C`, then `L.op` also does. -/
-def StrictUniversalPropertyFixedTarget.op {E : Type _} [Category E]
+def StrictUniversalPropertyFixedTarget.op {E : Type*} [Category E]
(h : StrictUniversalPropertyFixedTarget L W Eᵒᵖ) :
StrictUniversalPropertyFixedTarget L.op W.op E where
inverts := h.inverts.op
@@ -2,14 +2,11 @@
Copyright (c) 2022 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-
-! This file was ported from Lean 3 source module category_theory.localization.opposite
-! leanprover-community/mathlib commit 8efef279998820353694feb6ff5631ed0d309ecc
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.CategoryTheory.Localization.Predicate
+#align_import category_theory.localization.opposite from "leanprover-community/mathlib"@"8efef279998820353694feb6ff5631ed0d309ecc"
+
/-!
# Localization of the opposite category
@@ -31,17 +31,15 @@ variable {C D : Type _} [Category C] [Category D] {L : C ⥤ D} {W : MorphismPro
namespace Localization
/-- If `L : C ⥤ D` satisfies the universal property of the localisation
-for `W : morphism_property C`, then `L.op` also does. -/
+for `W : MorphismProperty C`, then `L.op` also does. -/
def StrictUniversalPropertyFixedTarget.op {E : Type _} [Category E]
(h : StrictUniversalPropertyFixedTarget L W Eᵒᵖ) :
- StrictUniversalPropertyFixedTarget L.op W.op E
- where
+ StrictUniversalPropertyFixedTarget L.op W.op E where
inverts := h.inverts.op
lift F hF := (h.lift F.rightOp hF.rightOp).leftOp
fac F hF := by
convert congr_arg Functor.leftOp (h.fac F.rightOp hF.rightOp)
- uniq F₁ F₂ eq :=
- by
+ uniq F₁ F₂ eq := by
suffices F₁.rightOp = F₂.rightOp by
rw [← F₁.rightOp_leftOp_eq, ← F₂.rightOp_leftOp_eq, this]
have eq' := congr_arg Functor.rightOp eq
The unported dependencies are