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 opp_max_distr : forall n m : R, -(Rmax n m) = Rmin (- n) (- m).