fact: Definition issymm_apNonnegativeReals : ∏ x y : NonnegativeReals, x ≠ y -> y ≠ x := issymm_Dcuts_ap_rel.
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