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

Theorem fun_choice_and_ext_pred_ext_and_proof_irrel_imp_setoid_fun_choice : FunctionalChoice -> ExtensionalPredicateRepresentative -> ProofIrrelevance -> RepresentativeFunctionalChoice.