Definition Dcuts_lim_cauchy_val : hsubtype NonnegativeRationals := λ r : NonnegativeRationals, hexists (λ c : NonnegativeRationals, (0 < c)%NRat × ∑ N : nat, ∏ n : nat, N ≤ n -> U n (r + c)).
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.