proposition: Lemma Rplus_apcompat_r : ∏ x y z : Reals, x + y ≠ x + z <-> y ≠ z.
proof: Proof. exact CFplus_apcompat_r. Qed.
imports: UniMath.Algebra.Groups UniMath.Foundations.Preamble UniMath.MoreFoundations.Orders UniMath.MoreFoundations.Tactics UniMath.OrderTheory.Lattice.Lattice UniMath.RealNumbers.Prelim UniMath.RealNumbers.Sets UniMath.RealNumbers.NonnegativeRationals UniMath.RealNumbers.NonnegativeReals