(* 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.