Hint Resolve closed_wrt_globvars closed_wrtl_globvars: closed.

(* Specifications: *)
Lemma closed_wrt_main_pre:
forall prog u v S, closed_wrt_vars S (main_pre prog u v).
Lemma closed_wrtl_main_pre_ext:
forall {Espec : OracleKind} prog z u v S, closed_wrt_lvars S (main_pre_ext prog z u v).