proposition: Lemma forall_conj_inv_3 : forall (P Q : forall (x1:A1) (x2:A2 x1) (x3:A3 x2), Prop), (forall x1 x2 x3, P x1 x2 x3 /\ Q x1 x2 x3) -> (forall x1 x2 x3, P x1 x2 x3) /\ (forall x1 x2 x3, Q x1 x2 x3).
proof: Proof. Proof using. prove_forall_conj_inv. Qed.
imports: TLC(LibTactics)