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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'.
+ clear H.
+Admitted.