Module R.
(** We obtain hence all the generic properties of max and min. *)
Include UsualMinMaxProperties R_as_OT RHasMinMax.
(** * Properties specific to the [R] domain *)
(** Compatibilities (consequences of monotonicity) *)
(** Anti-monotonicity swaps the role of [min] and [max] *)

Lemma minus_min_distr_r : forall n m p, Rmin (n - p) (m - p) = Rmin n m - p.