Lemma isrdistr_max_plusNonnegativeReals : ∏ x y z : NonnegativeReals, maxNonnegativeReals x y + z = maxNonnegativeReals (x + z) (y + z). Proof. intros x y z. rewrite !(iscomm_plusNonnegativeReals _ z). now apply isldistr_max_plusNonnegativeReals. 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.