proposition: Lemma is_lim_seq_plus' (u v : nat -> R) (l1 l2 : R) : is_lim_seq u l1 -> is_lim_seq v l2 -> is_lim_seq (fun n => u n + v n) (l1 + l2).
proof: Proof. intros Hu Hv. eapply is_lim_seq_plus. by apply Hu. by apply Hv. by []. Qed.
imports: Coq(Reals Psatz ssreflect) Rcomplements Rbar Lub Markov Hierarchy