Implicit Type r : R.(*******************************)
(** *        Rmin              *)
(*******************************)

(*********)
Definition Rmin (x y:R) : R :=
  match Rle_dec x y with
    | left _ => x
    | right _ => y
  end.

Lemma Rle_min_compat_l : forall x y z, x <= y -> Rmin z x <= Rmin z y.