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\import{function.tex}
\import{nat.tex}
\begin{definition}\label{subfinite}
$X$ is subfinite iff
there exists a natural number $k$ such that
there exists an injective function $f$ from $k$ to $X$.
\end{definition}
\begin{proposition}\label{emptyset_subfinite}
$\emptyset$ is subfinite.
\end{proposition}
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