(** Addition *)

Lemma Lim_seq_plus (u v : nat -> R) :
ex_lim_seq u -> ex_lim_seq v ->
ex_Rbar_plus (Lim_seq u) (Lim_seq v) ->
Lim_seq (fun n => u n + v n) = Rbar_plus (Lim_seq u) (Lim_seq v).