fact: Definition Dcuts_lt_rel : hrel Dcuts_set := λ (X Y : Dcuts_set), ∃ x : NonnegativeRationals, dirprod (neg (x ∈ X)) (x ∈ Y).
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