(** Specialization of inbetween for two consecutive integers. *)

Definition inbetween_int m x l :=
  inbetween (Z2R m) (Z2R (m + 1)) x l.

Theorem inbetween_float_unique : forall x e m l m' l', inbetween_float m e x l -> inbetween_float m' e x l' -> m = m' /\ l = l'.