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

Theorem functional_rel_reification_and_repr_fun_choice_iff_setoid_fun_choice : FunctionalRelReification /\ RepresentativeFunctionalChoice <-> SetoidFunctionalChoice.