proposition: Lemma gt_1_mult_lt_compat_l x y z : 1 < z → 0 < y → x < y → x < z * y.
proof: Proof. rewrite commutativity. now apply gt_1_mult_lt_compat_r. Qed.
imports: Coq.setoid_ring.Ring MathClasses.interfaces.abstract_algebra MathClasses.interfaces.orders MathClasses.theory.rings MathClasses.orders.orders MathClasses.orders.maps