Let $P = (\Omega, \mathcal{F}, \mathbb{P})$ be a D1159: Probability space such that

(i)	$\mathcal{G} \subseteq \mathcal{F}$ is a D470: Subsigma-algebra of $\mathcal{F}$ on $\Omega$

Then \begin{equation} \mathbb{P}(\emptyset \mid \mathcal{G}) \overset{a.s.}{=} 0 \end{equation}