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

Lemma constructive_indefinite_description_and_small_drinker_imp_epsilon : SmallDrinker'sParadox -> ConstructiveIndefiniteDescription -> EpsilonStatement.