Lemma Rmult_ltcompat_l': ∏ x y z : Reals, 0 <= x -> (y * x) < (z * x) -> y < z. Proof. exact hr_mult_ltcompat_l'. Qed.
Require Import UniMath.Foundations.Preamble. Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.OrderTheory.Lattice.Lattice. Require Import UniMath.RealNumbers.Prelim. Require Import UniMath.RealNumbers.Sets. Require Import UniMath.RealNumbers.NonnegativeRationals.