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\begin{axiom}\label{phase7_batch_prefix}
$\emptyset = \emptyset$.
\end{axiom}
\begin{struct}\label{phase7_batch_structure}
A phase seven batch structure $X$ is a onesorted structure equipped with
\begin{enumerate}
\item $\phaseSevenPick$
\end{enumerate}
such that
\begin{enumerate}
\item\label{phase7_batch_first} $X = X$.
\item\label{phase7_batch_second}
$\phaseSevenPick[X] = \phaseSevenPick[X]$.
\end{enumerate}
\end{struct}
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