(*===========================================================
                expe AND bottom
============================================================*)

(* expo and between in an edge: *)

Definition expe(m:fmap)(z t:dart):=
  MA0.expo m z t.Definition betweene(m:fmap)(z v t:dart):=
  MA0.between m z v t.

Lemma top_top_expe: forall(m:fmap)(z t:dart), inv_hmap m -> exd m z -> exd m t -> top m zero z = top m zero t -> MA0.expo m z t.