End Equiv.
(** * Vector space *)
(** is_domin is a vector space *)
Section Domin.
Context {T : Type} {Ku Kv : AbsRing}
{U : NormedModule Ku} {V : NormedModule Kv}.

Lemma domin_plus :
forall {F : (T -> Prop) -> Prop} {FF : Filter F} (f : T -> U) (g1 g2 : T -> V),
is_domin F f g1 -> is_domin F f g2 -> is_domin F f (fun x => plus (g1 x) (g2 x)).