Lemma Rlt_Rle : ∏ x y : Reals, x < y -> x <= y. Proof. intros x y H. apply notRlt_Rle. intros H0. refine (isirrefl_Rlt _ _). refine (istrans_Rlt _ _ _ _ _). - exact H. - exact H0. Qed.
Require Import UniMath.Foundations.Preamble. Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.OrderTheory.Lattice.Lattice. Require Import UniMath.RealNumbers.Prelim. Require Import UniMath.RealNumbers.Sets. Require Import UniMath.RealNumbers.NonnegativeRationals.