Lemma iseo_Dcuts_le_lt_rel : isEffectiveOrder Dcuts_le_rel Dcuts_lt_rel. Proof. split. - split. + exact ispreorder_Dcuts_le_rel. + exact isstpo_Dcuts_lt_rel. - repeat split. + now apply Dcuts_le_ngt_rel. + apply (pr2 (Dcuts_le_ngt_rel _ _)). + exact istrans_Dcuts_lt_le_rel. + exact istrans_Dcuts_le_lt_rel. 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.