Let $X, Y \in \text{Random}(\Omega \to \mathbb{R})$ each be a D3161: Random real number such that

(i)	\begin{equation} \mathbb{E} |X|, \mathbb{E} |Y| < \infty \end{equation}
(ii)	$X, Y$ is an D2713: Independent random collection

Then \begin{equation} \mathbb{E}(X \mid Y) \overset{a.s.}{=} \mathbb{E}(X) \end{equation}