fact: 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).
imports: UniMath.MoreFoundations.Orders UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.Notations UniMath.RealNumbers.Sets UniMath.Algebra.ConstructiveStructures UniMath.OrderTheory.Lattice.Lattice UniMath.RealNumbers.Prelim UniMath.RealNumbers.NonnegativeRationals