proposition: Lemma Dcuts_zero_empty : ∏ r : NonnegativeRationals, neg (r ∈ 0).
proof: Proof. intros r ; simpl. change (neg (r < 0)%NRat). now apply isnonnegative_NonnegativeRationals'. Qed.
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