Section Domin_comp.
Context {T1 T2 : Type} {Ku Kv : AbsRing}
{U : NormedModule Ku} {V : NormedModule Kv}
(F : (T1 -> Prop) -> Prop) {FF : Filter F}
(G : (T2 -> Prop) -> Prop) {FG : Filter G}.
End Domin_comp.
(** * Equivalence and limits *)

Lemma filterlim_equiv :
forall {T} {F : (T -> Prop) -> Prop} {FF : Filter F} (f g : T -> R) (l : Rbar),
is_equiv F f g ->
filterlim f F (Rbar_locally l) ->
filterlim g F (Rbar_locally l).