proposition: Lemma Forall2_last_inv : forall P r s x y, Forall2 P (r & x) (s & y) -> Forall2 P r s /\ P x y.
proof: Proof. Proof using. introv E. rewrite~ Forall2_last_eq in E. Qed.
imports: Coq.Classes.Morphisms TLC(LibTactics LibLogic LibReflect LibOperation LibProd LibOption LibNat LibInt LibWf LibMonoid LibRelation)