Lemma maxNonnegativeReals_carac_l : ∏ x y : NonnegativeReals, y <= x -> maxNonnegativeReals x y = x. Proof. exact Dcuts_max_carac_l. 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.