proposition: Lemma cut_minus_plus_l x y z : 0 ≤ y → x ∸ (y + z) = (x ∸ z) ∸ y.
proof: Proof. rewrite commutativity. now apply cut_minus_plus_r. Qed.
imports: Coq.setoid_ring.Ring MathClasses.interfaces.abstract_algebra MathClasses.interfaces.additional_operations MathClasses.interfaces.orders MathClasses.orders.minmax