proposition: Lemma Rmult_ltcompat_l': ∏ x y z : Reals, 0 <= x -> (y * x) < (z * x) -> y < z.
proof: Proof. exact hr_mult_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