▾ Set of symbols
▾ Alphabet
▾ Deduction system
▾ Theory
▾ Zermelo-Fraenkel set theory
▾ Set
▾ Subset
▾ Power set
▾ Hyperpower set sequence
▾ Hyperpower set
▾ Hypersubset
▾ Subset algebra
▾ Set partition
▾ Proper set partition
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}