ThmDex – An index of mathematical definitions, results, and conjectures.
F9135
Formulation 1
Let $X$ be a D17: Finite set such that
(i) $\mathcal{P}(X)$ is a D80: Power set for $X$
Then \begin{equation} E \in \mathcal{P}(X) \left( |E| = |X| \quad \implies \quad E = X \right) \end{equation}