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    Real analysis - countable

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    Proof:
    if A subset or equal of B and B is countable, then A is either countable, finite or empty.

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    https://brainmass.com/math/real-analysis/real-analysis-countable-25356

    Solution Preview

    proof:

    Since A is a subset of B or equal to B, then |A|<=|B|, where |.| means the number of elements in a set. Since B is countable, then |B| ...

    Solution Summary

    This is a proof regarding countable sets.

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