proposition: Lemma Forall2_map_l : forall f P l, (forall y, P (f y) y) -> Forall2 P (map f l) l.
proof: Proof. Proof using. introv I. induction l; rew_listx~. Qed.
imports: Coq.Classes.Morphisms TLC(LibTactics LibLogic LibReflect LibOperation LibProd LibOption LibNat LibInt LibWf LibMonoid LibRelation)