Question: Let B be a sub-(-field in ((, A, P) which is equivalent to the trivial (-field {(, (} (in the sense that for every B

Let B be a sub-(-field in ((, A, P) which is equivalent to the trivial (-field {(, (} (in the sense that for every B ( B, either P (B) = 0 or P(B) = 1), and let X be a B-measurable (integrable) r.v. Then show that X = εX a.s?

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