# Math Help - Are you allowed to say aleph-0 - 1 = alepha-0?

1. ## Are you allowed to say aleph-0 - 1 = alepha-0?

And I suppose similarly, can you simply invoke something like:

$2^N - 1 = 2^N$?

I need this fact to be true in order for me to solve a problem.

Is it true; may I use this in a proof?

Thanks!

2. Originally Posted by Last_Singularity
And I suppose similarly, can you simply invoke something like:

$2^N - 1 = 2^N$?

I need this fact to be true in order for me to solve a problem.

Is it true; may I use this in a proof?

Thanks!
It is true that $| \mathbb{N}\cup \{ \mathbb{N}\} | = |\mathbb{N} |$
Thus, $\aleph_0 + 1 = \aleph_0$