proposition: Lemma forall_conj_inv_7 : forall (P Q : forall (x1:A1) (x2:A2 x1) (x3:A3 x2) (x4:A4 x3) (x5:A5 x4) (x6:A6 x5) (x7:A7 x6), Prop), (forall x1 x2 x3 x4 x5 x6 x7, P x1 x2 x3 x4 x5 x6 x7 /\ Q x1 x2 x3 x4 x5 x6 x7) -> (forall x1 x2 x3 x4 x5 x6 x7, P x1 x2 x3 x4 x5 x6 x7) /\ (forall x1 x2 x3 x4 x5 x6 x7, Q x1 x2 x3 x4 x5 x6 x7).
proof: Proof. Proof using. prove_forall_conj_inv. Qed.
imports: TLC(LibTactics)