Hint Rewrite @closed_wrt_subst_eval_expr using solve [auto 50 with closed] : subst.
Hint Rewrite @closed_wrt_subst_eval_lvalue using solve [auto 50 with closed] : subst.
Hint Unfold closed_wrt_modvars : closed.

Lemma closed_wrt_lift0: forall {A} S (Q: A), closed_wrt_vars S (lift0 Q).