Say theres a set A = {1}, set B = {2}

Then the powerset of A is P(A) = {{1}, Φ}, and powerset of B is P(B) = {{2}, Φ}

Now if I have P(A) - P(B), then this wouldn't remove the empty set element would it?

I know the empty set is a subset of all sets, and it doesn't really make sense that you could remove the empty set.

So I'm guessing P(A) - P(B) = {{1}, Φ} still.

Is this right? Or would P(A) - P(B) = {{1}}?

Thanks for the help!