(* croissance de predta_coacc *)

Definition lemd (d : preDTA) : mRelation bool :=
  fun m0 m1 : Map bool =>
  ensemble_base state d m0 /\ ensemble_base state d m1 /\ lem m0 m1.

Lemma map_or_inc_rd : forall (d : preDTA) (m m0 m1 : Map bool), ensemble_base state d m -> lemd d m0 m1 -> lemd d (map_or m m0) (map_or m m1).