▾ Set of symbols
▾ Alphabet
▾ Deduction system
▾ Theory
▾ Zermelo-Fraenkel set theory
▾ Set
▾ Subset
▾ Power set
▾ Hyperpower set sequence
▾ Hyperpower set
Hypersubset
Formulation 0
Let $X$ be a D11: Set.
A D11: Set $E$ is a hypersubset of $X$ with respect to $n \in 0, 1, 2, 3, \ldots$ if and only if \begin{equation} E \in \mathcal{P}^n(X) \end{equation}
Child definitions
» D3367: Subset algebra