Lemma maxNonnegativeReals_le : ∏ x y z : NonnegativeReals, x <= z -> y <= z -> maxNonnegativeReals x y <= z. Proof. exact Dcuts_max_le. 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.