Definition check_one_temp_spec (Q: PTree.t val) (idv: ident * val) : Prop :=
(Q ! (fst idv)) = Some (snd idv).
Definition check_gvars_spec (GV: option globals) (GV': option globals) : Prop :=
match GV' with Some _ => GV = GV' | _ => True end.
Definition strong_cast (t1 t2: type) (v: val) : val :=
force_val (sem_cast t1 t2 v).

Lemma extract_trivial_liftx_e:
forall (R: list (environ->mpred)) (R': list mpred),
extract_trivial_liftx R R' -> R = map liftx R'.