#[deprecated(since="8.19")]
Notation S_O_plus_INR := S_O_plus_INR_depr (only parsing).

Lemma single_z_r_R1_depr : forall r (n m:Z), r < IZR n -> IZR n <= r + 1 -> r < IZR m -> IZR m <= r + 1 -> n = m.