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  "body": "\n## Statement\n\nIn mathematics, **Tarski's theorem**, proved by (txt), states that in [[ZF|0HE5WDQ9FJ]] the statement \"For every infinite set $A$, there is a bijective map between the sets $A$ and $A\\times A$\" implies the [[axiom of choice|0HTGB13FE2]]. The opposite direction was already known (provable via an explicit [[pairing function for any aleph number|0NP5N5PYW5]]), thus the statement and axiom of choice are equivalent.\n",
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