proposition: Lemma istight_apNonnegativeReals: ∏ x y : NonnegativeReals, (¬ (x ≠ y)) <-> (x = y).
proof: Proof. intros x y. split. - now apply istight_Dcuts_ap_rel. - intros ->. now apply isirrefl_Dcuts_ap_rel. 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