proposition: Lemma is_lim_base_correct {X : UU} {T : TopologicalSpace} (f : X → T) (F : Filter X) (x : T) base : is_lim_base f F x base <-> is_lim f F x.
proof: Proof. split. - intros Hx P HP. apply Hx, (pr2 (neighborhood_equiv _ _ _)). exact HP. - intros Hx P HP. eapply Hx, neighborhood_equiv. exact HP. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Topology.Filters UniMath.Algebra.Groups UniMath.Algebra.DivisionRig UniMath.Algebra.ConstructiveStructures