category_theory.products.associator
⟷
Mathlib.CategoryTheory.Products.Associator
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
@@ -57,14 +57,15 @@ def associativity : (C × D) × E ≌ C × D × E :=
-/
#print CategoryTheory.prod.associatorIsEquivalence /-
-instance associatorIsEquivalence : IsEquivalence (associator C D E) :=
- (by infer_instance : IsEquivalence (associativity C D E).Functor)
+instance associatorIsEquivalence : CategoryTheory.Functor.IsEquivalence (associator C D E) :=
+ (by infer_instance : CategoryTheory.Functor.IsEquivalence (associativity C D E).Functor)
#align category_theory.prod.associator_is_equivalence CategoryTheory.prod.associatorIsEquivalence
-/
#print CategoryTheory.prod.inverseAssociatorIsEquivalence /-
-instance inverseAssociatorIsEquivalence : IsEquivalence (inverseAssociator C D E) :=
- (by infer_instance : IsEquivalence (associativity C D E).inverse)
+instance inverseAssociatorIsEquivalence :
+ CategoryTheory.Functor.IsEquivalence (inverseAssociator C D E) :=
+ (by infer_instance : CategoryTheory.Functor.IsEquivalence (associativity C D E).inverse)
#align category_theory.prod.inverse_associator_is_equivalence CategoryTheory.prod.inverseAssociatorIsEquivalence
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,7 +3,7 @@ Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Stephen Morgan, Scott Morrison
-/
-import Mathbin.CategoryTheory.Products.Basic
+import CategoryTheory.Products.Basic
#align_import category_theory.products.associator from "leanprover-community/mathlib"@"1ead22342e1a078bd44744ace999f85756555d35"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,14 +2,11 @@
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Stephen Morgan, Scott Morrison
-
-! This file was ported from Lean 3 source module category_theory.products.associator
-! leanprover-community/mathlib commit 1ead22342e1a078bd44744ace999f85756555d35
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.CategoryTheory.Products.Basic
+#align_import category_theory.products.associator from "leanprover-community/mathlib"@"1ead22342e1a078bd44744ace999f85756555d35"
+
/-!
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.
mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423
@@ -49,6 +49,7 @@ def inverseAssociator : C × D × E ⥤ (C × D) × E
#align category_theory.prod.inverse_associator CategoryTheory.prod.inverseAssociator
-/
+#print CategoryTheory.prod.associativity /-
/-- The equivalence of categories expressing associativity of products of categories.
-/
def associativity : (C × D) × E ≌ C × D × E :=
@@ -56,6 +57,7 @@ def associativity : (C × D) × E ≌ C × D × E :=
(NatIso.ofComponents (fun X => eqToIso (by simp)) (by tidy))
(NatIso.ofComponents (fun X => eqToIso (by simp)) (by tidy))
#align category_theory.prod.associativity CategoryTheory.prod.associativity
+-/
#print CategoryTheory.prod.associatorIsEquivalence /-
instance associatorIsEquivalence : IsEquivalence (associator C D E) :=
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -49,12 +49,6 @@ def inverseAssociator : C × D × E ⥤ (C × D) × E
#align category_theory.prod.inverse_associator CategoryTheory.prod.inverseAssociator
-/
-/- warning: category_theory.prod.associativity -> CategoryTheory.prod.associativity is a dubious translation:
-lean 3 declaration is
- forall (C : Type.{u4}) [_inst_1 : CategoryTheory.Category.{u1, u4} C] (D : Type.{u5}) [_inst_2 : CategoryTheory.Category.{u2, u5} D] (E : Type.{u6}) [_inst_3 : CategoryTheory.Category.{u3, u6} E], CategoryTheory.Equivalence.{max (max u1 u2) u3, max u1 u2 u3, max (max u4 u5) u6, max u4 u5 u6} (Prod.{max u4 u5, u6} (Prod.{u4, u5} C D) E) (CategoryTheory.prod.{max u1 u2, u3, max u4 u5, u6} (Prod.{u4, u5} C D) (CategoryTheory.prod.{u1, u2, u4, u5} C _inst_1 D _inst_2) E _inst_3) (Prod.{u4, max u5 u6} C (Prod.{u5, u6} D E)) (CategoryTheory.prod.{u1, max u2 u3, u4, max u5 u6} C _inst_1 (Prod.{u5, u6} D E) (CategoryTheory.prod.{u2, u3, u5, u6} D _inst_2 E _inst_3))
-but is expected to have type
- forall (C : Type.{u4}) [_inst_1 : CategoryTheory.Category.{u1, u4} C] (D : Type.{u5}) [_inst_2 : CategoryTheory.Category.{u2, u5} D] (E : Type.{u6}) [_inst_3 : CategoryTheory.Category.{u3, u6} E], CategoryTheory.Equivalence.{max (max u1 u2) u3, max (max u1 u2) u3, max u6 u5 u4, max (max u6 u5) u4} (Prod.{max u5 u4, u6} (Prod.{u4, u5} C D) E) (Prod.{u4, max u6 u5} C (Prod.{u5, u6} D E)) (CategoryTheory.prod.{max u1 u2, u3, max u4 u5, u6} (Prod.{u4, u5} C D) (CategoryTheory.prod.{u1, u2, u4, u5} C _inst_1 D _inst_2) E _inst_3) (CategoryTheory.prod.{u1, max u2 u3, u4, max u5 u6} C _inst_1 (Prod.{u5, u6} D E) (CategoryTheory.prod.{u2, u3, u5, u6} D _inst_2 E _inst_3))
-Case conversion may be inaccurate. Consider using '#align category_theory.prod.associativity CategoryTheory.prod.associativityₓ'. -/
/-- The equivalence of categories expressing associativity of products of categories.
-/
def associativity : (C × D) × E ≌ C × D × E :=
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.
@@ -47,12 +47,12 @@ def associativity : (C × D) × E ≌ C × D × E :=
(NatIso.ofComponents fun X => eqToIso (by simp))
#align category_theory.prod.associativity CategoryTheory.prod.associativity
-instance associatorIsEquivalence : IsEquivalence (associator C D E) :=
- (by infer_instance : IsEquivalence (associativity C D E).functor)
+instance associatorIsEquivalence : (associator C D E).IsEquivalence :=
+ (by infer_instance : (associativity C D E).functor.IsEquivalence)
#align category_theory.prod.associator_is_equivalence CategoryTheory.prod.associatorIsEquivalence
-instance inverseAssociatorIsEquivalence : IsEquivalence (inverseAssociator C D E) :=
- (by infer_instance : IsEquivalence (associativity C D E).inverse)
+instance inverseAssociatorIsEquivalence : (inverseAssociator C D E).IsEquivalence :=
+ (by infer_instance : (associativity C D E).inverse.IsEquivalence)
#align category_theory.prod.inverse_associator_is_equivalence CategoryTheory.prod.inverseAssociatorIsEquivalence
-- TODO unitors?
@@ -2,14 +2,11 @@
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Stephen Morgan, Scott Morrison
-
-! This file was ported from Lean 3 source module category_theory.products.associator
-! leanprover-community/mathlib commit dc6c365e751e34d100e80fe6e314c3c3e0fd2988
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.CategoryTheory.Products.Basic
+#align_import category_theory.products.associator from "leanprover-community/mathlib"@"dc6c365e751e34d100e80fe6e314c3c3e0fd2988"
+
/-!
The associator functor `((C × D) × E) ⥤ (C × (D × E))` and its inverse form an equivalence.
-/
@@ -46,8 +46,8 @@ def inverseAssociator : C × D × E ⥤ (C × D) × E
-/
def associativity : (C × D) × E ≌ C × D × E :=
Equivalence.mk (associator C D E) (inverseAssociator C D E)
- (NatIso.ofComponents (fun X => eqToIso (by simp)) (by aesop_cat))
- (NatIso.ofComponents (fun X => eqToIso (by simp)) (by aesop_cat))
+ (NatIso.ofComponents fun X => eqToIso (by simp))
+ (NatIso.ofComponents fun X => eqToIso (by simp))
#align category_theory.prod.associativity CategoryTheory.prod.associativity
instance associatorIsEquivalence : IsEquivalence (associator C D E) :=
All dependencies are ported!