Module VSD := VSD.

Lemma subst_list_denote_sound_intersection : forall (l : list pure_atom) i e B, list_denote pure_atom_denote (@andp state) B (map (subst_pure i e) l) = match map (subst_pure i e) l with | nil => B | _ :: _ => list_denote pure_atom_denote (@andp state) B (map (subst_pure i e) l) end.