Let $M = (X, \mathcal{F}, \mu)$ be a D1158: Measure space such that

(i)	$\mu(F) = 0$ for $F \in \mathcal{F}$

Then \begin{equation} \forall \, E \subseteq F \, (E \in \mathcal{F} \quad \Rightarrow \quad \mu(E) = 0) \end{equation}