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authorGravatar Stephane Glondu <steph@glondu.net>2012-01-12 16:04:54 +0100
committerGravatar Stephane Glondu <steph@glondu.net>2012-01-12 16:04:54 +0100
commit39efc41237ec906226a3a53d7396d51173495204 (patch)
tree87cd58d72d43469d2a2a0a127c1060d7c9e0206b /test-suite/bugs/closed/shouldsucceed/2473.v
parent5fe4ac437bed43547b3695664974f492b55cb553 (diff)
parent97fefe1fcca363a1317e066e7f4b99b9c1e9987b (diff)
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+
+Require Import Relations Program Setoid Morphisms.
+
+Section S1.
+ Variable R: nat -> relation bool.
+ Instance HR1: forall n, Transitive (R n). Admitted.
+ Instance HR2: forall n, Symmetric (R n). Admitted.
+ Hypothesis H: forall n a, R n (andb a a) a.
+ Goal forall n a b, R n b a.
+ intros.
+ (* rewrite <- H. *) (* Anomaly: Evar ?.. was not declared. Please report. *)
+ (* idem with setoid_rewrite *)
+(* assert (HR2' := HR2 n). *)
+ rewrite <- H. (* ok *)
+ admit.
+ Qed.
+End S1.
+
+Section S2.
+ Variable R: nat -> relation bool.
+ Instance HR: forall n, Equivalence (R n). Admitted.
+ Hypothesis H: forall n a, R n (andb a a) a.
+ Goal forall n a b, R n a b.
+ intros. rewrite <- H. admit.
+ Qed.
+End S2.
+
+(* the parametrised relation is required to get the problem *)
+Section S3.
+ Variable R: relation bool.
+ Instance HR1': Transitive R. Admitted.
+ Instance HR2': Symmetric R. Admitted.
+ Hypothesis H: forall a, R (andb a a) a.
+ Goal forall a b, R b a.
+ intros.
+ rewrite <- H. (* ok *)
+ admit.
+ Qed.
+End S3. \ No newline at end of file