Proof that the |P(A)| (Power Set) is bigger than |A|?
This for A such that |A|>= aleph_0
I searched a proof but i didn't found. :-(
This for A such that
I searched a proof but i didn't found. :-(
1 Answer
Please see below.
Explanation:
The usual method is to show that a function
For any function
Now we show that
If
Consequently
To see
and
We conclude that there is no
Using a similar argument we could instead show that a function