diff options
Diffstat (limited to 'test-suite/bugs/closed/shouldsucceed/1774.v')
| -rw-r--r-- | test-suite/bugs/closed/shouldsucceed/1774.v | 18 |
1 files changed, 18 insertions, 0 deletions
diff --git a/test-suite/bugs/closed/shouldsucceed/1774.v b/test-suite/bugs/closed/shouldsucceed/1774.v new file mode 100644 index 000000000..4c24b481b --- /dev/null +++ b/test-suite/bugs/closed/shouldsucceed/1774.v @@ -0,0 +1,18 @@ +Axiom pl : (nat -> Prop) -> (nat -> Prop) -> (nat -> Prop). +Axiom plImp : forall k P Q, + pl P Q k -> forall (P':nat -> Prop), + (forall k', P k' -> P' 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 k (A:nat -> nat -> Prop) (B:nat -> Prop), + pl (nexists A) B k. +intros. +eapply plImp. +2:intros m' M'; econstructor; apply M'. +2:intros m' M'; apply M'. +simpl. +Admitted. |