Prove or Give counter example:
kind of a long proof. But I was wondering if anyone could help check this for me.
I proved that and . So was a subset of .
When trying to prove that was a subset of I reached a contradiction, well what i believe was a contradiction. I found that
and . Im just not sure if this is a contradiction or not. If its a contradiction, well im done, if it is not a contradiction I guess I would just continue on to prove it. Im just not sure if the last part of the proof is a contradiction.
Any help with this proof is greatly appreciated, and im sorry if this is somewhat unclear.