fact: Definition Guided_WOSubset {X:hSet} (g : choice_fun X) := (∑ C, is_guided_WOSubset g C)%type.
imports: UniMath.MoreFoundations.DecidablePropositions UniMath.MoreFoundations.Propositions UniMath.MoreFoundations.Subtypes UniMath.MoreFoundations.Sets UniMath.MoreFoundations.AxiomOfChoice UniMath.Combinatorics.OrderedSets