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 st_coacc_rev : forall (d : preDTA) (s : state) (a : ad), MapGet bool (st_coacc d s) a = Some true -> exists c : ad, (exists p : prec_list, MapGet prec_list s c = Some p /\ prec_occur p a).