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\begin{document}

\title{Positional Notation for Natural Numbers in an Arbitrary Base}
\author{Charles Staats III}
\maketitle

\begin{abstract}
We demonstrate the existence and uniqueness of the base-$n$ representation of a natural number, where $n$ is any natural number greater than 1. This comes up when trying to translate mathematical contest problems and solutions into Isabelle/HOL.
\end{abstract}

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