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) *)

Lemma plus_min_distr_l : forall n m p, Rmin (p + n) (p + m) = p + Rmin n m.