Lemma isldistr_max_multNonnegativeReals : ∏ x y z : NonnegativeReals, z * maxNonnegativeReals x y = maxNonnegativeReals (z * x) (z * y). Proof. exact isldistr_Dcuts_max_mult. 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.