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+\begin{inductive}\label{phase5_nested_recursive_element}
+ Define $\phasefiveelement{A}\subseteq\cumul{A}$ inductively as follows.
+ \begin{enumerate}
+ \item If $\phasefiveelement{A}\in\pow{\phasefiveelement{A}}$, then
+ $A\in\phasefiveelement{A}$.
+ \end{enumerate}
+\end{inductive}