Axioms:
FunctionalExtensionality.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