fact: Definition plusNonnegativeReals_lecompat_l : ∏ x y z: NonnegativeReals, (y <= z) <-> (y + x <= z + x) := Dcuts_plus_lecompat_l.
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