(* RENAMING of MF.between: *)

Definition betweenf:= MF.between.

Lemma cF_L0_1:forall (m:fmap)(x y z:dart), inv_hmap (L m zero x y) -> let x_1 := cA_1 m one x in betweenf m x_1 z y -> cF (L m zero x y) z = if eq_dart_dec y z then x_1 else cF m z.