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\import{set.tex}
\import{relation.tex}
\begin{definition}\label{phase5_apply}
$\apply{f}{x} = \unions{\img{f}{\{x\}}}$.
\end{definition}
\begin{proposition}\label{phase5_application_surface}
Then $f(x) = y$.
\end{proposition}
\begin{proposition}\label{phase5_application_explicit}
Then $\apply{f}{x} = y$.
\end{proposition}
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