fact: Definition plusNonnegativeReals_ltcompat_r : ∏ x y z: NonnegativeReals, (y < z) <-> (x + y < x + z) := Dcuts_plus_ltcompat_r.
imports: UniMath.MoreFoundations.Orders UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.Notations UniMath.RealNumbers.Sets UniMath.Algebra.ConstructiveStructures UniMath.OrderTheory.Lattice.Lattice UniMath.RealNumbers.Prelim UniMath.RealNumbers.NonnegativeRationals