fact: Definition is_guided_WOSubset {X:hSet} (g : choice_fun X) (C : WOSubset X) : hProp := ∀ c:C, pr1 c = pr1 (g (upto' c)).
imports: UniMath.MoreFoundations.DecidablePropositions UniMath.MoreFoundations.Propositions UniMath.MoreFoundations.Subtypes UniMath.MoreFoundations.Sets UniMath.MoreFoundations.AxiomOfChoice UniMath.Combinatorics.OrderedSets