proposition: Lemma isfilter_finite_intersection_htrue : isfilter_finite_intersection → isfilter_htrue.
proof: Proof. intros Hand. unfold isfilter_htrue. rewrite <- finite_intersection_htrue. apply Hand. intros m. apply fromempty. generalize (pr2 m). now apply negnatlthn0. Qed.
imports: UniMath.Foundations.Preamble UniMath.MoreFoundations.Tactics UniMath.Topology.Prelim UniMath.MoreFoundations.PartA