proposition: Lemma is_lim_seq_plus (u v : nat -> R) (l1 l2 l : Rbar) : is_lim_seq u l1 -> is_lim_seq v l2 -> is_Rbar_plus l1 l2 l -> is_lim_seq (fun n => u n + v n) l.
proof: Proof. intros Hu Hv Hl. eapply filterlim_comp_2 ; try eassumption. now apply filterlim_Rbar_plus. Qed.
imports: Coq(Reals Psatz ssreflect) Rcomplements Rbar Lub Markov Hierarchy