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I want to typeset my theorems within my presentation in upright fonts. The only way I know is by doing this:

\begin{theorem}
\textup{Upright Theorem}
\end{theorem}

When I use article document class, I can use the theorem package and type \theorembodyfont{\upshape} within the preamble. However, such thing did not work for Beamer. I would like to do the similar thing when I use beamer (defined the upright-ness within the preamble). Is it possible?

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You can look at section Theorem Environments in beamer manual and there you will find how to do it.

\documentclass{beamer}
\setbeamertemplate{theorems}[normal font]
\begin{document}
\begin{frame}
\begin{theorem}
This is a theorem
\end{theorem}
\end{frame}
\end{document}
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