Lemma isassoc_maxNonnegativeReals : ∏ x y z : NonnegativeReals, maxNonnegativeReals (maxNonnegativeReals x y) z = maxNonnegativeReals x (maxNonnegativeReals y z). Proof. exact isassoc_Dcuts_max. 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.