Lemma isrdistr_minus_multNonnegativeReals : ∏ x y z : NonnegativeReals, (x - y) * z = x * z - y * z. Proof. intros x y z. rewrite !(iscomm_multNonnegativeReals _ z). now apply isldistr_minus_multNonnegativeReals. Qed.
Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.Notations. Require Import UniMath.RealNumbers.Sets. Require Import UniMath.OrderTheory.Lattice.Lattice. Require Import UniMath.RealNumbers.Prelim. Require Import UniMath.RealNumbers.NonnegativeRationals.