Truth value of a quantifier statement

Hello,

I need to determine whether the following statement is true of false:

$\displaystyle \forall x(x > 1\to x^2 > x)$ Domain: All reals

I think the statement is true since I cannot find a value which would make the first part true while the second part false. However, I don't know how to prove the statement true without plugging in various numbers, but doing so would not prove that the statement is true in general, so I was wondering how one would start this question.

Thanks