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(* Several bugs:
- wrong env in pose_all_metas_as_evars leading to out of scope instance of evar
- check that metas posed as evars in pose_all_metas_as_evars were
resolved was not done
*)
Axiom functional_extensionality_dep :
forall {A : Type} {B : A -> Type} (f g : forall x : A, B x),
(forall x : A, f x = g x) -> f = g.
Goal forall A B C (f g : forall (x : A) (y : B x), C x y), forall x:A, (forall x y, f x y = g x y) -> True.
Proof.
intros A B C f g x H.
Fail apply @functional_extensionality_dep in H.
Fail apply functional_extensionality_dep in H.
eapply functional_extensionality_dep in H.
Abort.
Goal forall A B C (f g : forall (x : A) (y : B x), C x y), forall x:A, (forall x y, f x y = g x y) -> True.
Proof.
intros A B C f g x H.
specialize (H x).
apply functional_extensionality_dep in H.
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