fact: Definition FilterGenerated {X : UU} (L : (X → hProp) → hProp) (Hl : ∏ L' : Sequence (X → hProp), (∏ m : stn (length L'), L (L' m)) → ∃ x : X, finite_intersection L' x) : Filter X.
imports: UniMath.Foundations.Preamble UniMath.MoreFoundations.Tactics UniMath.Topology.Prelim UniMath.MoreFoundations.PartA