Corollary setoid_fun_choice_imp_functional_rel_reification :
  forall A B, SetoidFunctionalChoice_on A B -> FunctionalRelReification_on A B.

Theorem fun_choice_and_ext_functions_repr_and_excluded_middle_imp_setoid_fun_choice : FunctionalChoice -> ExtensionalFunctionRepresentative -> ExcludedMiddle -> RepresentativeFunctionalChoice.