ThmDex – An index of mathematical definitions, results, and conjectures.
F12697
Formulation 1
Let $X \in \text{Random}(\mathbb{R})$ be a D3161: Random real number such that
(i) \begin{equation} \mathbb{E} |X| < \infty \end{equation}
Then \begin{equation} \mathbb{E}(X \mid X) \overset{a.s.}{=} X \end{equation}