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_contain_coacc_ads_3 : forall (d : preDTA) (a0 a1 : ad), 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.