\begin{inductive}\label{phase5_nested_wrong_arguments} Define $\phasefivewrongargs{A}\subseteq\cumul{A}$ inductively as follows. \begin{enumerate} \item If $x\in\pow{\phasefivewrongargs{x}}$, then $x\in\phasefivewrongargs{A}$. \end{enumerate} \end{inductive}