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    Proving Probabilities and Set Theory

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    Let (Omega, A, P) be a probability space. We consider a series of mesurable sets (An)nEnCA . Prove that P(lim infnAn)....
    Prove that if the series is convergent, we have continuity, i.e. ...

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    Let be a probability space. We consider a series of mesurable sets . Prove that .
    Prove that if the series is convergent, we have continuity, i.e.

    Proof. ...

    Solution Summary

    A proof involving probability and set theory are provided. The solution is detailed and well presented.

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