ThmDex – An index of mathematical definitions, results, and conjectures.
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Deduction system
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Zermelo-Fraenkel set theory
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Set partition
Proper set partition
Definition D2910
Set of proper set partitions
Formulation 0
Let $X$ be a D11: Set.
The set of proper set partitions of $X$ is the D11: Set \begin{equation} \{ P \mid P \text{ is a proper set partition of } X \} \end{equation}