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Math Help - proof

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    proof

    How do you prove the power set of A U the power set of B is a subset of the power set of (A U B)
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    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by leinadwerdna View Post
    How do you prove the power set of A U the power set of B is a subset of the power set of (A U B)
    Let E\in\left(\wp\left(A\right)\cup\wp\left(B\right)\r  ight), then clearly E\subseteq A\vee E\subseteq B\implies E\subseteq A\cup B\implies E\in\wp\left(A\cup B\right).
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