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authorGravatar Enrico Tassi <gareuselesinge@debian.org>2015-01-25 14:42:51 +0100
committerGravatar Enrico Tassi <gareuselesinge@debian.org>2015-01-25 14:42:51 +0100
commit7cfc4e5146be5666419451bdd516f1f3f264d24a (patch)
treee4197645da03dc3c7cc84e434cc31d0a0cca7056 /test-suite/bugs/closed/1696.v
parent420f78b2caeaaddc6fe484565b2d0e49c66888e5 (diff)
Imported Upstream version 8.5~beta1+dfsg
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+Require Import Setoid.
+
+Inductive mynat := z : mynat | s : mynat -> mynat.
+
+Parameter E : mynat -> mynat -> Prop.
+Axiom E_equiv : equiv mynat E.
+
+Add Relation mynat E
+ reflexivity proved by (proj1 E_equiv)
+ symmetry proved by (proj2 (proj2 E_equiv))
+ transitivity proved by (proj1 (proj2 E_equiv))
+as E_rel.
+
+Notation "x == y" := (E x y) (at level 70).
+
+Goal z == s z -> s z == z. intros H. setoid_rewrite H at 2. reflexivity. Qed.