proposition: Lemma Rmult_ltcompat_r: ∏ x y z : Reals, 0 < x -> y < z -> (x * y) < (x * z).
proof: Proof. intros x y z. rewrite !(iscomm_CFmult x). now apply Rmult_ltcompat_l. Qed.
imports: UniMath.Algebra.Groups UniMath.Foundations.Preamble UniMath.MoreFoundations.Orders UniMath.MoreFoundations.Tactics UniMath.OrderTheory.Lattice.Lattice UniMath.RealNumbers.Prelim UniMath.RealNumbers.Sets UniMath.RealNumbers.NonnegativeRationals UniMath.RealNumbers.NonnegativeReals