Test pour le bug #1754

git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10364 85f007b7-540e-0410-9357-904b9bb8a0f7

1 files changed, 24 insertions, 0 deletions

diff --git a/test-suite/bugs/opened/shouldnotfail/1754.v b/test-suite/bugs/opened/shouldnotfail/1754.v
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+++ b/test-suite/bugs/opened/shouldnotfail/1754.v
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+Axiom hp : Set.
+Axiom cont : nat -> hp -> Prop.
+Axiom sconj : (hp -> Prop) -> (hp -> Prop) -> hp -> Prop.
+Axiom sconjImpl : forall h A B,
+  (sconj A B) h -> forall (A' B': hp -> Prop),
+    (forall h', A h' -> A' h') ->
+    (forall h', B h' -> B' h') ->
+    (sconj A' B') h.
+
+Definition cont' (h:hp) := exists y, cont y h.
+
+Lemma foo : forall h x y A,
+  (sconj (cont x) (sconj (cont y) A)) h ->
+  (sconj cont' (sconj cont' A)) h.
+Proof.
+  intros h x y A H.
+  eapply sconjImpl.
+  2:intros h' Hp'; econstructor; apply Hp'.
+  2:intros h' Hp'; eapply sconjImpl.
+  3:intros h'' Hp''; econstructor; apply Hp''.
+  3:intros h'' Hp''; apply Hp''.
+  2:apply Hp'.
+  try clear H.
+Admitted.