(** 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).

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