Lemma isfilter_finite_intersection_carac : isfilter_htrue → isfilter_and → isfilter_finite_intersection. Proof. intros Htrue Hand L. apply (pr2 (finite_intersection_hProp F)). split. - exact Htrue. - exact Hand. Qed.
Require Import UniMath.Foundations.Preamble. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.PartA.