I was just wondering how to prove generally that a statement is true
i think this is correct, but i am not sure:
1) prove that the statement $P$ is true for $1$
2) and then prove that the statement is true for $P(n+1)$, by taking for granted that $P(n)$ is true.
2.5) we can prove that $P(n+1)$ is true by showing that it is true when $n = 1$.
i am not sure about the last part though.