Ajout test dependent rewrite

git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@6260 85f007b7-540e-0410-9357-904b9bb8a0f7

1 files changed, 17 insertions, 0 deletions

diff --git a/test-suite/success/rewrite.v b/test-suite/success/rewrite.v
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+(* Check that dependent rewrite applies on arbitrary terms *)
+
+Inductive listn : nat-> Set := 
+  niln : (listn O) 
+| consn : (n:nat)nat->(listn n) -> (listn (S n)).
+
+Axiom ax : (n,n':nat)(l:(listn (plus n n')))(l':(listn (plus n' n)))
+  (existS ? ? (plus n n') l) =(existS ? ? (plus n' n) l').
+
+Lemma lem : (n,n':nat)(l:(listn (plus n n')))(l':(listn (plus n' n)))
+   (plus n n')=(plus n' n)
+    /\ (existT ? ? (plus n n') l) =(existT ? ? (plus n' n) l').
+Proof.
+Intros n n' l l'.
+Dependent Rewrite (ax n n' l l').
+Split; Reflexivity.
+Qed.