Ajahn @Brahmali wrote in a thread this:
I understand the quote from the Yamaka Sutta (SN 22.85) to articulate precisely why the Buddha refused to deny the existence of arahants after death. It may seem a bit mystical (“not apprehended by you as real and actual here in this very life”), but I think this due to the fact you cannot deny the existence of the person as a changeable phenomenon. You can only deny the existence of a personal and permanent core. For this reason he uses a more complex sentence, including the words “real and actual”. I believe this is all there is to it. But the sutta is a one off, and as such we should not emphasise it too much.
I don’t quite understand that part because: When you say the arahant exists in this life then you can say he doesn’t exist after death when nibbana is not something. When the Arahant does not exist in this life because of Anatta than you can still say the arahant does not exist after death because he did not exist in the first place.
So I do not understand why the arahant cannot be said to not exist after death.