(* 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 predta_coacc_0_incr : forall (d d' : preDTA) (m0 m1 : Map bool), lemd d' m0 m1 -> lemd d (predta_coacc_0 d d' m0) (predta_coacc_0 d d' m1).