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}(\Omega \mid \mathcal{G})
\overset{a.s.}{=} 1
\end{equation}