diff options
author | Enrico Tassi <gareuselesinge@debian.org> | 2015-01-25 14:42:51 +0100 |
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committer | Enrico Tassi <gareuselesinge@debian.org> | 2015-01-25 14:42:51 +0100 |
commit | 7cfc4e5146be5666419451bdd516f1f3f264d24a (patch) | |
tree | e4197645da03dc3c7cc84e434cc31d0a0cca7056 /test-suite/bugs/closed/1776.v | |
parent | 420f78b2caeaaddc6fe484565b2d0e49c66888e5 (diff) |
Imported Upstream version 8.5~beta1+dfsg
Diffstat (limited to 'test-suite/bugs/closed/1776.v')
-rw-r--r-- | test-suite/bugs/closed/1776.v | 22 |
1 files changed, 22 insertions, 0 deletions
diff --git a/test-suite/bugs/closed/1776.v b/test-suite/bugs/closed/1776.v new file mode 100644 index 00000000..58491f9d --- /dev/null +++ b/test-suite/bugs/closed/1776.v @@ -0,0 +1,22 @@ +Axiom pair : nat -> nat -> nat -> Prop. +Axiom pl : (nat -> Prop) -> (nat -> Prop) -> (nat -> Prop). +Axiom plImpR : forall k P Q, + pl P Q k -> forall (Q':nat -> Prop), + (forall k', Q k' -> Q' k') -> + pl P Q' k. + +Definition nexists (P:nat -> nat -> Prop) : nat -> Prop := + fun k' => exists k, P k k'. + +Goal forall a A m, + True -> + (pl A (nexists (fun x => (nexists + (fun y => pl (pair a (S x)) (pair a (S y))))))) m. +Proof. + intros. + eapply plImpR; [ | intros; econstructor; econstructor; eauto]. + clear H; + match goal with + | |- (pl _ (pl (pair _ ?x) _)) _ => replace x with 0 + end. +Admitted. |