Lemma max_plusNonnegativeReals : ∏ x y : NonnegativeReals, (0 < x -> y = 0) -> maxNonnegativeReals x y = x + y. Proof. exact Dcuts_max_plus. 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.