diff options
Diffstat (limited to 'theories/Classes/Morphisms_Relations.v')
| -rw-r--r-- | theories/Classes/Morphisms_Relations.v | 10 |
1 files changed, 4 insertions, 6 deletions
diff --git a/theories/Classes/Morphisms_Relations.v b/theories/Classes/Morphisms_Relations.v index 34115e57..68a8c06a 100644 --- a/theories/Classes/Morphisms_Relations.v +++ b/theories/Classes/Morphisms_Relations.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) @@ -30,8 +30,6 @@ Instance relation_disjunction_morphism : Proper (relation_equivalence (A:=A) ==> (* Predicate equivalence is exactly the same as the pointwise lifting of [iff]. *) -Require Import List. - Lemma predicate_equivalence_pointwise (l : Tlist) : Proper (@predicate_equivalence l ==> pointwise_lifting iff l) id. Proof. do 2 red. unfold predicate_equivalence. auto. Qed. @@ -40,7 +38,7 @@ Lemma predicate_implication_pointwise (l : Tlist) : Proper (@predicate_implication l ==> pointwise_lifting impl l) id. Proof. do 2 red. unfold predicate_implication. auto. Qed. -(** The instanciation at relation allows to rewrite applications of relations +(** The instantiation at relation allows rewriting applications of relations [R x y] to [R' x y] when [R] and [R'] are in [relation_equivalence]. *) Instance relation_equivalence_pointwise : @@ -52,6 +50,6 @@ Instance subrelation_pointwise : Proof. intro. apply (predicate_implication_pointwise (Tcons A (Tcons A Tnil))). Qed. -Lemma inverse_pointwise_relation A (R : relation A) : - relation_equivalence (pointwise_relation A (inverse R)) (inverse (pointwise_relation A R)). +Lemma flip_pointwise_relation A (R : relation A) : + relation_equivalence (pointwise_relation A (flip R)) (flip (pointwise_relation A R)). Proof. intros. split; firstorder. Qed. |