Let $\mathbb{R}^D$ be a D816: Euclidean real Cartesian product such that
| (i) | $\ell^*$ is a D780: Lebesgue outer measure on $\mathbb{R}^D$ |
Then
\begin{equation}
\forall \, E, F \subseteq \mathbb{R}^D
\left( E \subseteq F \quad \implies \quad \ell^*(E) \leq \ell^*(F) \right)
\end{equation}
