Lemma Dcuts_ap_one_zero : 1 ≠ 0. Proof. apply isapfun_NonnegativeRationals_to_Dcuts'. apply gtNonnegativeRationals_noteq. exact ispositive_oneNonnegativeRationals. Qed.
Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.Notations. Require Import UniMath.RealNumbers.Sets. Require Import UniMath.OrderTheory.Lattice.Lattice. Require Import UniMath.RealNumbers.Prelim. Require Import UniMath.RealNumbers.NonnegativeRationals.