Definition plusNonnegativeReals_ltcompat_l : ∏ x y z: NonnegativeReals, (y < z) <-> (y + x < z + x) := Dcuts_plus_ltcompat_l.
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.