Consider the measurable space ((, A), let Fi, i = 1, 2, be fields with Fi (

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Consider the measurable space ((, A), let Fi, i = 1, 2, be fields with Fi ( A, i = 1, 2, and define F by
F = {all finite unions of As with A ( A; A = A1 ( A2 or
A = A1 ( A2, Ai ( Fi, i = 1, 2}.
Then show that F is a field.
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