ThmDex – An index of mathematical definitions, results, and conjectures.

Let $f : [0, \infty) \to [0, \infty)$ be a D4364: Real function such that

(i)	$p \in [0, \infty)$ is an D4767: Unsigned real number
(ii)	\begin{equation} f(t) = t^p \end{equation}

Let $x, y \in [0, \infty)$ each be an D4767: Unsigned real number such that

(i)	\begin{equation} x \leq y \end{equation}

Then \begin{equation} f(x) \leq f(y) \end{equation}