Definition ap_plusNonnegativeReals: ∏ x x' y y' : NonnegativeReals, x + y ≠ x' + y' -> x ≠ x' ∨ y ≠ y' := apCCDRplus (X := NonnegativeReals).
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.