Let $X$ be a D11: Set.
The power set of $X$ is the D11: Set
\begin{equation}
\mathcal{P}(X) : = \{ E : E \subseteq X \}
\end{equation}
▼  Set of symbols 
▼  Alphabet 
▼  Deduction system 
▼  Theory 
▼  ZermeloFraenkel set theory 
▼  Set 
▼  Subset 
▶  D5348: Set of binary relations 
▶  D5464: Hyperpower set sequence 
▶  R1036: Power set is closed under complements 
▶  R1035: Power set is closed under intersections 
▶  R1034: Power set is closed under unions 
▶  R4157: Superadditivity of power set 
▶ 
Convention 0
(Notation for power set)
If $X$ is a D11: Set, we denote its D80: Power set either by $\mathcal{P}(X)$ or by $\mathcal{P} X$.
