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It is easily checked that the function ''f'' : Ord → Ord, ''f''(α) = א<sub>α</sub> is normal (see [[aleph number]]); thus, there exists an ordinal Θ such that Θ = א<sub>Θ</sub>. In fact, the above lemma shows that there are infinitely many such Θ.
[[Category:Set theory]]
[[Category: [[Category:Lemmas]]
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