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\begin{proposition}\label{phase5_top_level_omitted}
For all $x$ we have $x = x$.
\end{proposition}
\begin{proof}
Omitted.
\end{proof}
\begin{proposition}\label{phase5_nested_omitted}
For all $x$ we have $x = x$.
\end{proposition}
\begin{proof}
Fix $x$.
Show $x = x$.
\begin{subproof}
Omitted.
\end{subproof}
Follows by assumption.
\end{proof}
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