\begin{omgroup}[id=sec.functions,creators=miko]{Functions}
\begin{module}[id=functions]
\symdef[assocarg=1]{cart}[1]{\assoc[p=500]{\times}{#1}}
\symdef{fun}[3]{\mixfixiii[p=200]{}{#1}{\colon}{#2}{\rightarrow}{#3}{}}
\symdef{inset}[2]{\infix[p=650]{\in}{#1}{#2}}

\begin{definition}[id=functions.def]
  A {\defin{function}} $\fun{f}AB$ is a left-total, right-unique relation in $\cart{A,B}$
\end{definition}
\end{module}
\end{omgroup}
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