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Proposition: Ordinals Are Downward Closed

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last edited 0 min ago by bookofproofs

Let \(\beta\) be an ordinal number. Then each element \(\alpha\in\beta\) is also an ordinal number.

References

[656] Hoffmann, Dirk W.: “Grenzen der Mathematik - Eine Reise durch die Kerngebiete der mathematischen Logik”, Spektrum Akademischer Verlag, 2011

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