Definition compute_legal_nested_field0 (t: type) (gfs: list gfield) : list Prop :=
  match gfs with
  | nil => nil
  | gf :: gfs0 =>
    match (nested_field_type t gfs0), gf with
    | Tarray _ n _, ArraySubsc i =>
       (0 <= i <= n) :: compute_legal_nested_field t gfs0
    | Tstruct id _, StructField i =>
       if compute_in_members i (co_members (get_co id)) then compute_legal_nested_field t gfs else False :: nil
    | Tunion id _, UnionField i =>
       if compute_in_members i (co_members (get_co id)) then compute_legal_nested_field t gfs else False :: nil
    | _, _ => False :: nil
    end
  end.

Lemma compute_legal_nested_field0_spec': forall t gfs, Forall Datatypes.id (compute_legal_nested_field0 t gfs) -> legal_nested_field0 t gfs.