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