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Definition: Transitive Set

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last edited 0 min ago by bookofproofs

A set \(X\) is called transitive if all its elements are also its subsets, i.e. if

\[Y\in X\Longrightarrow Y\subseteq X\]

References

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

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