Why is this implication true?
$\forall B \in \mathcal G$ $EX1_B=EY1_B \implies Y=E[X\mid\mathcal G]$
where $\mathcal G$ is a sigma algebra?
Why is this implication true?
$\forall B \in \mathcal G$ $EX1_B=EY1_B \implies Y=E[X\mid\mathcal G]$
where $\mathcal G$ is a sigma algebra?
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