(** Functions *)
Definition LimSup_seq (u : nat -> R) :=
proj1_sig (ex_LimSup_seq u).
Definition LimInf_seq (u : nat -> R) :=
proj1_sig (ex_LimInf_seq u).
(** Uniqueness *)

Lemma is_LimSup_seq_unique (u : nat -> R) (l : Rbar) :
is_LimSup_seq u l -> LimSup_seq u = l.