# Measure is Monotone

## Theorem

Let $\left({X, \Sigma, \mu}\right)$ be a measure space.

Then $\mu$ is monotone, that is:

$\forall E, F \in \Sigma: E \subseteq F \implies \mu \left({E}\right) \le \mu \left({F}\right)$

## Proof

$\blacksquare$