Imported Upstream version 8.5~beta1+dfsg

1 files changed, 39 insertions, 0 deletions

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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.
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