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Thread: Math proof help

  1. #1
    Junior Member
    Feb 2009

    Math proof help

    For any set S, let P(S) denote its power set.

    Let A and B be sets. Prove the following claims:

    If A is a subset of B, then P(A) is a subset of P(B).
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  2. #2
    Newbie Halmos Rules's Avatar
    Feb 2009
    Let xP(A). Then xA. But AB. So, by transitivity, xB. This means that xP(B). So P(A)P(B).
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