Lemma filterdom_imply : isfilter_imply filterdom. Proof. intros A B Himpl. apply Himp. intros x Ax Hx. apply Himpl, Ax, Hx. Qed.
Require Import UniMath.Foundations.Preamble. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.PartA.