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Proof of Cantor's Theorem 📂Set Theory

Proof of Cantor's Theorem

Theorem 1

For an arbitrary set $X$ and its power set $\mathscr{P} (X)$, $$ \operatorname{card}(X)<\operatorname{card}(\mathscr{P} (X)) $$


  1. 이흥천 역, You-Feng Lin. (2011). 집합론(Set Theory: An Intuitive Approach): p251. ↩︎