Lemma istrans_Rlt : ∏ x y z : Reals, x < y -> y < z -> x < z. Proof. exact (istrans_isStrongOrder (isStrongOrder_hr_lt)). 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.