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Math Help - Cardinality

  1. #1
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    Cardinality

    Show that if sets A and B have the same cardinality,
    then P(A) and P(B) have the same cardinality.
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  2. #2
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    Quote Originally Posted by kashifzaidi View Post
    Show that if sets A and B have the same cardinality,
    then P(A) and P(B) have the same cardinality.

    \exists\,\;bijection\,\;f:A\rightarrow B\Longrightarrow F:P(A)\rightarrow P(B)\,,\;\;F(X):=\{f(x)\,;\;x\in X\subset A\}\subset B \,\,is\,\,a\,\,bijection

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