Corollary fun_choice_and_indep_general_prem_iff_guarded_fun_choice :
  FunctionalChoiceOnInhabitedSet /\ IndependenceOfGeneralPremises
  <-> GuardedFunctionalChoice.

Lemma fun_choice_and_small_drinker_imp_omniscient_fun_choice : FunctionalChoiceOnInhabitedSet -> SmallDrinker'sParadox -> OmniscientFunctionalChoice.