proposition: Lemma isasetFilter (X : UU) : isaset (Filter X).
proof: Proof. simple refine (isaset_carrier_subset (make_hSet _ _) (λ _, make_hProp _ _)). - apply impred_isaset ; intros _. apply isasethProp. - apply isapropdirprod. + apply isapropdirprod. * apply isaprop_isfilter_imply. * apply isaprop_isfilter_finite_intersection. + apply isaprop_isfilter_notempty. Qed.
imports: UniMath.Foundations.Preamble UniMath.MoreFoundations.Tactics UniMath.Topology.Prelim UniMath.MoreFoundations.PartA