Section COMBINE.
Variable ge: genv.
Variable sp: val.
Variable m: mem.
Variable get: valnum -> option rhs.
Variable valu: valnum -> val.
Hypothesis get_sound: forall v rhs, get v = Some rhs -> rhs_eval_to valu ge sp m rhs (valu v).
Ltac UseGetSound :=
match goal with
| [ H: get _ = Some _ |- _ ] =>
let x := fresh "EQ" in (generalize (get_op_sound _ _ _ H); intros x; simpl in x; FuncInv)
end.

Lemma combine_compimm_eq_0_sound:
forall x cond args,
combine_compimm_eq_0 get x = Some(cond, args) ->
eval_condition cond (map valu args) m = Val.cmp_bool Ceq (valu x) (Vint Int.zero) /\
eval_condition cond (map valu args) m = Val.cmpu_bool (Mem.valid_pointer m) Ceq (valu x) (Vint Int.zero).