And that might give us a little bit of more intuition about it. So the extreme value theorem says if we have some function that is continuous over a closed interval, let's say the closed interval's from a to b. And when we say a closed interval, that means we include the endpoints a and b. That's why we have these brackets here instead of parentheses. Then there will be an absolute maximum value for f and an absolute minimum value for f. So that means there exists, this is a symbol for the logical symbol for there exists, there exists an absolute maximum value of f over interval and absolute minimum value of f over the interval. So let's think about that a little bit and this probably is pretty intuitive for you. You're probably saying, well, why do they even have to write a theorem here?