Lemma apRplus : ∏ (x x' y y' : Reals), (x + y ≠ x' + y') -> (x ≠ x') ∨ (y ≠ y'). Proof. exact apCFplus. Qed.
Require Import UniMath.Foundations.Preamble. Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.OrderTheory.Lattice.Lattice. Require Import UniMath.RealNumbers.Prelim. Require Import UniMath.RealNumbers.Sets. Require Import UniMath.RealNumbers.NonnegativeRationals.