ThmDex – An index of mathematical definitions, results, and conjectures.
Result R4159 on D80: Power set
Power set is not empty
Formulation 0
Let $\emptyset$ be the D13: Empty set.
Let $X$ be a D11: Set such that
(i) $\mathcal{P}(X)$ is the D80: Power set of $X$
Then \begin{equation} \mathcal{P}(X) \neq \emptyset \end{equation}