Hello

Given

$\displaystyle \forall n0$, $\displaystyle \exists n$> n0, P(n)

I am trying to prove that there are an infinite number of values n for which the

property P(n) is true.

My initial thoughts are to assume only a limited n for which P(n) is true, for example only P(1), P(2) and P(3) are true and the rest is false. Then prove impossible, but I got stuck.

Could someone please help?

Thanks in advance

Kardash