Corollary fun_reification_descr_computational_excluded_middle_in_prop_context :
  FunctionalRelReification ->
  (forall P:Prop, P \/ ~ P) ->
  forall C:Prop, ((forall P:Prop, {P} + {~ P}) -> C) -> C.

Theorem gen_setoid_fun_choice_imp_setoid_fun_choice : forall A B, GeneralizedSetoidFunctionalChoice_on A B -> SetoidFunctionalChoice_on A B.