setofsetof is such a one-to-one function into the set of all characteristic functions.list(usable). a(charq,a(setof,x)) = p1. end_of_list.
Proof that setof x is a characteristic function | OTTER output file
list(usable). a(setof,x) != a(setof,y) | x = y. end_of_list.
Proof that setof is one-to-one | OTTER output file