ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Alphabet
Deduction system
Theory
Zermelo-Fraenkel set theory
Set
Subset
Power set
Hyperpower set sequence
Hyperpower set
Definition D4076
Hypersubset
Formulation 0
Let $X$ be a D11: Set.
A D11: Set $E$ is a hypersubset of $X$ with respect to $N \in \{ 0, 1, 2, \ldots \}$ if and only if \begin{equation} E \in \mathcal{P}^N (X) \end{equation}
Children
D3367: Subset algebra