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Line 1: ===The statement=== In [[set theory]], '''Cantor's theorem''' states that the [[set]] of all ~~subsets~~[[subset]]s of any set ''A'' has a strictly greater [[cardinality]] than that of ''A''. In particular, the set of all subsets of a [[countable set\|countably infinite]] set is '''un'''countably infinite. ===The proof===

Cantor's theorem: Difference between revisions