I think it cannot conclude that A = B because the same power set does not mean that they have the same set or same order. Am i right?Can you conclude that A = B if A and B are two sets with the same power set?
The above is no example at all.
Using , then it is clear to anyone who understands the definitions that .
Therefore, which in contrary to the given.
So start with .
We are trying to show that
Letís do it.
. That shows that .
Similarly show that .
Together they mean