#[deprecated(since="8.16",note="Use Rdiv_opp_r.")]
Notation Ropp_div_den := Ropp_div_den_depr (only parsing).

Lemma inser_trans_R_depr : forall r1 r2 r3 r4, r1 <= r2 < r3 -> {r1 <= r2 < r4} + {r4 <= r2 < r3}.