\input{preamble.tex}
\begin{document}
\begin{frame}[plain]
\titlepage
\end{frame}
\section{Introduction}
\subsection{Proof of the Main Theorem}
\begin{frame}
\frametitle{There Is No Largest Prime Number}
\framesubtitle{The proof uses \textit{reductio ad absurdum}.}
\begin{theorem}
There is no largest prime number.
\end{theorem}
\begin{proof}
\begin{enumerate}
% The strange way of typesetting math is to minimize font usage
% in order to keep the file sizes of the examples small.
\item<1-| alert@1> Suppose $p$ were the largest prime number.
\item<2-> Let $q$ be the product of the first $p$ numbers.
\item<3-> Then $q$\;+\,$1$ is not divisible by any of them.
\item<4-> Thus $q$\;+\,$1$ is also prime and greater than $p$.\qedhere
\end{enumerate}
\end{proof}
\end{frame}
\section{Colors}
% \sepframe{A separator frame}{for the European Commission beamer theme}
\begin{frame}
\frametitle{European Commission colors}
\framesubtitle{Available colors in this theme}
\begin{enumerate}
\item<1-> \color{ecmain}ecmain
\item<2-> \color{ecaccentyellow}ecaccentyellow
\item<3-> \color{ectext}ectext
\item<4-> \color{ecbackgroundgrey}ecbackgroundgrey
\item<5-> \color{ecbackgroundblue}ecbackgroundblue
\end{enumerate}
\end{frame}
\end{document}
