Definition cmp_bool (c: comparison) (v w: aval) : abool :=
  match v, w with
  | I i1, I i2 => Just (Int.cmp c i1 i2)
  | _, I i => cmp_intv c (sintv v) (Int.signed i)
  | I i, _ => cmp_intv (swap_comparison c) (sintv w) (Int.signed i)
  | _, _ => Btop
  end.

(* Specifications: *)
Lemma cmp_bool_sound: forall c v w x y, vmatch v x -> vmatch w y -> cmatch (Val.cmp_bool c v w) (cmp_bool c x y).