Corollary fun_choice_and_small_drinker_iff_omniscient_fun_choice :
  FunctionalChoiceOnInhabitedSet /\ SmallDrinker'sParadox
  <-> OmniscientFunctionalChoice.

Theorem constructive_indefinite_description_and_small_drinker_iff_epsilon : (SmallDrinker'sParadox * ConstructiveIndefiniteDescription -> EpsilonStatement) * (EpsilonStatement -> SmallDrinker'sParadox * ConstructiveIndefiniteDescription).