proposition: Lemma Lim_ext (f g : R -> R) (x : Rbar) : (forall y, f y = g y) -> Lim g x = Lim f x.
proof: Proof. move => H. apply Lim_ext_loc. by apply filter_forall. Qed.
imports: Coq(Reals ssreflect) Rcomplements Rbar Hierarchy Compactness Lim_seq