#[deprecated(since="8.19",note="Use Ropp_minus_distr instead.")]
Notation Ropp_minus_distr' := (fun r1 r2 => (Ropp_minus_distr r2 r1)) (only parsing).#[deprecated(since="8.19",note="Use Rminus_diag instead.")]
Notation Rminus_eq_0 := (fun x => Rminus_diag x) (only parsing).

Lemma sum_inequa_Rle_lt_depr : forall a x b c y d:R, a <= x -> x < b -> c < y -> y <= d -> a + c < x + y < b + d.