proposition: Lemma Forall_last_inv : forall P l x, Forall P (l & x) -> Forall P l /\ P x.
proof: Proof. Proof using. introv H. rewrite* Forall_last_eq in H. Qed.
imports: Coq.Classes.Morphisms TLC(LibTactics LibLogic LibReflect LibOperation LibProd LibOption LibNat LibInt LibWf LibMonoid LibRelation)