User blog comment:B1mb0w/Beta Function Code Version 4/@comment-24920136-20160519203920

Yeah i meant to say he can't 1 to 1 map reals to integers, and since FGH can only produce integers, he wont be able to have a function g that can g(real) = f...(n) that doesn't have some undesired values.

Ie. there will be reals a <> b for which g(a) = g(b). (In fact this will be true for almost all reals)