Section NESTED_PRED.
Context {cs: compspecs}.
Definition nested_pred (atom_pred: type -> bool): type -> bool :=
type_func
(fun _ => bool)
(fun t => atom_pred t)
(fun t n a b => (atom_pred (Tarray t n a) && b)%bool)
(fun id a bl => (atom_pred (Tstruct id a) && fold_right andb true (decay bl))%bool)
(fun id a bl => (atom_pred (Tunion id a) && fold_right andb true (decay bl))%bool).
Definition nested_fields_pred (atom_pred: type -> bool) (m: members) : bool :=
fold_right (fun it b => (nested_pred atom_pred (field_type (fst it) m) && b)%bool) true m.

Lemma Tunion_sizeof_0: forall id a,
complete_legal_cosu_type (Tunion id a) = true ->
sizeof (Tunion id a) = 0 ->
forall i, in_members i (co_members (get_co id)) ->
sizeof (field_type i (co_members (get_co id))) = 0.