Definition Cauchy_lim_seq (u : nat → NonnegativeReals) (Cu : Cauchy_seq u) : NonnegativeReals := (Dcuts_lim_cauchy_seq u Cu).
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.