Lemma multNonnegativeRationals_le1_l : ∏ q r : NonnegativeRationals, q <= 1 -> q * r <= r. Proof. intros q r Hq. pattern r at 2 ; rewrite <- islunit_oneNonnegativeRationals. now apply multNonnegativeRationals_lecompat_r. Qed.
Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.RealNumbers.Sets. Require Import UniMath.RealNumbers.Fields. Require Import UniMath.OrderTheory.Lattice.Lattice. Require Import UniMath.RealNumbers.Prelim.