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This is a doubt about Lebesgue measurable subsets

If I have two Lebesgue measurable subsets $E_1, E_2$ in $\mathbb{R}$, is the subset $E_1\times E_2$ Lebesgue measurable in $\mathbb{R}^2$?, If it is, How can I compute $|E_1\times E_2|_2$?

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    Yes and $|E_1\times E_2|=|E_1||E_2|$2012-11-15

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