(** Rbar_le *)

(* Specifications: *)
Lemma LimSup_le (u v : nat -> R) :
eventually (fun n => u n <= v n)
-> Rbar_le (LimSup_seq u) (LimSup_seq v).
Lemma LimInf_le (u v : nat -> R) :
eventually (fun n => u n <= v n)
-> Rbar_le (LimInf_seq u) (LimInf_seq v).