File: test-optidef.tex

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\documentclass{article}
\usepackage{optidef}

\begin{document}

\begin{mini}
  {x}{f(x)}{}{}
\end{mini}

\begin{mini!}
  {x}{f(x)}{}{}
\end{mini!}

\begin{minie}
  {x}{f(x)}{}{}
\end{minie}

\begin{mini*}
  {x}{f(x)}{}{}
\end{mini*}

\begin{argmini}
  {x}{f(x)}{}{}
\end{argmini}

\begin{maxi}
  {x}{f(x)}{}{}
\end{maxi}

\end{document}