proposition: Lemma forall_conj_inv_4 : forall (P Q : forall (x1:A1) (x2:A2 x1) (x3:A3 x2) (x4:A4 x3), Prop), (forall x1 x2 x3 x4, P x1 x2 x3 x4 /\ Q x1 x2 x3 x4) -> (forall x1 x2 x3 x4, P x1 x2 x3 x4) /\ (forall x1 x2 x3 x4, Q x1 x2 x3 x4).
proof: Proof. Proof using. prove_forall_conj_inv. Qed.
imports: TLC(LibTactics)