fact: Definition Cauchy_seq (u : nat -> NonnegativeReals) : hProp := make_hProp (∏ eps : NonnegativeReals, 0 < eps -> hexists (λ N : nat, ∏ n m : nat, N ≤ n -> N ≤ m -> u n < u m + eps × u m < u n + eps)) (impred_isaprop _ (λ _, isapropimpl _ _ (pr2 _))).
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