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Diffstat (limited to 'src')
| -rw-r--r-- | src/Util/PER.v | 8 |
1 files changed, 8 insertions, 0 deletions
diff --git a/src/Util/PER.v b/src/Util/PER.v new file mode 100644 index 000000000..ab09652f7 --- /dev/null +++ b/src/Util/PER.v @@ -0,0 +1,8 @@ +Require Import Coq.Classes.RelationClasses Coq.Classes.Morphisms Coq.Relations.Relation_Definitions. + +Lemma PER_valid_l {A} {R : relation A} {HS : Symmetric R} {HT : Transitive R} x y (H : R x y) : Proper R x. +Proof. hnf; etransitivity; eassumption || symmetry; eassumption. Qed. +Lemma PER_valid_r {A} {R : relation A} {HS : Symmetric R} {HT : Transitive R} x y (H : R x y) : Proper R y. +Proof. hnf; etransitivity; eassumption || symmetry; eassumption. Qed. +Hint Extern 10 (Proper ?R ?x) => simple eapply (@PER_valid_l _ R); [ | | solve [ auto with nocore ] ] : typeclass_instances. +Hint Extern 10 (Proper ?R ?x) => simple eapply (@PER_valid_r _ R); [ | | solve [ auto with nocore ] ] : typeclass_instances. |