Section COMP_IMM.
Variable default: comparison -> int -> condition.
Variable intsem: comparison -> int -> int -> bool.
Variable sem: comparison -> val -> val -> val.
Hypothesis sem_int: forall c x y, sem c (Vint x) (Vint y) = Val.of_bool (intsem c x y).
Hypothesis sem_undef: forall c v, sem c Vundef v = Vundef.
Hypothesis sem_eq: forall x y, sem Ceq (Vint x) (Vint y) = Val.of_bool (Int.eq x y).
Hypothesis sem_ne: forall x y, sem Cne (Vint x) (Vint y) = Val.of_bool (negb (Int.eq x y)).
Hypothesis sem_default: forall c v n, sem c v (Vint n) = Val.of_optbool (eval_condition (default c n) (v :: nil) m).
Hypothesis sem_swap:
forall c x y, sem (swap_comparison c) x y = sem c y x.
End COMP_IMM.

Theorem eval_singleofint:
forall le a x y,
eval_expr ge sp e m le a x ->
Val.singleofint x = Some y ->
exists v, eval_expr ge sp e m le (singleofint a) v /\ Val.lessdef y v.