(* For consistency with Rplus_opp_r and Rplus_opp_l. *)
Definition Rmult_inv_r := Rinv_r.Definition Rmult_inv_l := Rinv_l.

Lemma Rmult_inv_r_id_l : forall r1 r2, r1 <> 0 -> r2 * r1 * / r1 = r2.