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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Originally Posted by kashifzaidi Show that if sets A and B have the same cardinality, then P(A) and P(B) have the same cardinality. $\displaystyle \exists\,\;bijection\,\;f:A\rightarrow B\Longrightarrow $ $\displaystyle F:P(A)\rightarrow P(B)\,,\;\;F(X):=\{f(x)\,;\;x\in X\subset A\}\subset B$ $\displaystyle \,\,is\,\,a\,\,bijection$ Tonio
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