This, absolutely.

You're not the one being unfair: the fact the he cheated on you is unfair.

The fact the he broke your trust and yet expects to be treated with trust and without consequence is unfair.

I think that you should tell him that he may continue his friendship with this girl only after giving you enough proof that it won't happen again. This means years of fidelity. I think he needs to know that you don't want to deal with a man who doesn't treat you fairly.