(** ** Operations and order *)
(** Extensionality *)

(* Specifications: *)
Lemma is_lim_ext_loc (f g : R -> R) (x l : Rbar) :
Rbar_locally' x (fun y => f y = g y)
-> is_lim f x l -> is_lim g x l.
Lemma ex_lim_ext_loc (f g : R -> R) (x : Rbar) :
Rbar_locally' x (fun y => f y = g y)
-> ex_lim f x -> ex_lim g x.
Lemma Lim_ext_loc (f g : R -> R) (x : Rbar) :
Rbar_locally' x (fun y => f y = g y)
-> Lim g x = Lim f x.
Lemma is_lim_ext (f g : R -> R) (x l : Rbar) :
(forall y, f y = g y)
-> is_lim f x l -> is_lim g x l.
Lemma ex_lim_ext (f g : R -> R) (x : Rbar) :
(forall y, f y = g y)
-> ex_lim f x -> ex_lim g x.
Lemma Lim_ext (f g : R -> R) (x : Rbar) :
(forall y, f y = g y)
-> Lim g x = Lim f x.