I was thinking about finding a left adjoint G. I see you've proven its existence using a sledgehammer: the adjoint functor theorem. Your explicit construction f

I was thinking about finding a left adjoint G. I see you've proven its existence using a sledgehammer: the adjoint functor theorem. Your explicit construction for G(n) as the smallest m such that n divides F(m) is very informative. It goes well with the idea that an adjoint is somehow an optimiser. Thanks. That entry point sequence is weird.