ThmDex – An index of mathematical definitions, results, and conjectures.
Result R255 on D80: Power set
Power set of empty set
Formulation 1
Let $\emptyset$ be the D13: Empty set such that
(i) $\mathcal{P}(\emptyset)$ is a D80: Power set for $\emptyset$
Then \begin{equation} \mathcal{P}(\emptyset) = \{ \emptyset \} \end{equation}