proposition: 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.
proof: Proof. apply filterlim_ext_loc. Qed.
imports: Coq(Reals ssreflect) Rcomplements Rbar Hierarchy Compactness Lim_seq