Lemma isdistr_plus_halfNonnegativeReals: ∏ x y : NonnegativeReals, (x + y) / 2 = (x / 2) + (y / 2). Proof. exact isdistr_Dcuts_half_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.