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

Lemma Rminus_plus_r_r : forall r r1 r2, (r1 + r) - (r2 + r) = r1 - r2.