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Require Import TestSuite.admit.
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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