Definition Cauchy_seq_impl_ex_lim_seq (u : nat → NonnegativeReals) (Cu : Cauchy_seq u) : is_lim_seq u (Cauchy_lim_seq u Cu) := (Dcuts_Cauchy_seq_impl_ex_lim_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.