Hint Resolve closed_wrt_allp closed_wrtl_allp : closed.

(* Specifications: *)
Lemma closed_wrt_globvars:
forall S gv v, closed_wrt_vars S (globvars2pred gv v).
Lemma closed_wrtl_globvars:
forall S gv v, closed_wrt_lvars S (globvars2pred gv v).