Definition predta_coacc_contain_coacc_ads_def_0 (d : preDTA) 
  (a0 a1 : ad) : Prop :=
  coacc d a0 a1 ->
  preDTA_ref_ok d ->
  exists n : nat,
    MapGet bool (power (Map bool) (predta_coacc d a0) (map_mini state d) n)
      a1 = Some true.

Lemma predta_coacc_rev : forall (d : preDTA) (a : ad) (m : Map bool) (b : ad), MapGet bool (predta_coacc d a m) b = Some true -> ensemble_base state d m -> (exists a0 : ad, (exists s : state, (exists c : ad, (exists p : prec_list, MapGet state d a0 = Some s /\ MapGet prec_list s c = Some p /\ prec_occur p b /\ MapGet bool m a0 = Some true)))) \/ a = b.