fact: Definition filterdom : (X → hProp) → hProp := λ A : X → hProp, F (λ x : X, make_hProp (dom x → A x) (isapropimpl _ _ (propproperty _))).
imports: UniMath.Foundations.Preamble UniMath.MoreFoundations.Tactics UniMath.Topology.Prelim UniMath.MoreFoundations.PartA