(* 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 lemd_transitive : forall (d : preDTA) (m0 m1 m2 : Map bool), lemd d m0 m1 -> lemd d m1 m2 -> lemd d m0 m2.