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\begin{abbreviation}\label{phase5_quantified_identity}
The phase five quantified identity of $A$ is $A$.
\end{abbreviation}
\begin{abbreviation}\label{phase5_quantified_contains}
$A$ contains $B$ iff $B\in A$.
\end{abbreviation}
\begin{proposition}\label{phase5_quantified_function_argument}
The phase five quantified identity of every set $A$ is equal to $A$.
\end{proposition}
\begin{proof}
Follows.
\end{proof}
\begin{proposition}\label{phase5_quantified_verb_argument}
Let $A$ be a set.
Then $A$ contains every element of $A$.
\end{proposition}
\begin{proof}
Follows.
\end{proof}
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