proposition: Lemma cut_minus_nonneg_0_r x : 0 ≤ x → x ∸ 0 = x.
proof: Proof. intros E. rewrite <-(rings.plus_0_r (x ∸ 0)). auto. Qed.
imports: Coq.setoid_ring.Ring MathClasses.interfaces.abstract_algebra MathClasses.interfaces.additional_operations MathClasses.interfaces.orders MathClasses.orders.minmax