Definition filtertop : (X → hProp) → hProp := λ A : X → hProp, make_hProp (∏ x : X, A x) (impred_isaprop _ (λ _, propproperty _)).
Require Import UniMath.Foundations.Preamble. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.PartA.