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+Parameter P : nat -> nat -> Prop.
+Parameter Q : nat -> nat -> Prop.
+Axiom A : forall x x' x'', P x x' -> Q x'' x' -> P x x''.
+
+Goal (P 1 3) -> (Q 1 3) -> (P 1 1).
+intros H H'.
+refine ((fun H1 : P 1 _ => let H2 := (_:Q 1 _) in A _ _ _ H1 H2) _).
+clear.
+Admitted.
+
+