Definition ex_lim_seq (u : nat → NonnegativeReals) : hProp := make_hProp (∑ l : NonnegativeReals, is_lim_seq u l) (isaprop_ex_lim_seq u).
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.