\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}} \symdef[name=sseteq]{sseteqOp}{\subseteq} \symdef{sseteq}[2]{\infix[p=300]\sseteqOp{#1}{#2}} \symdef{tup}[1]{\langle#1\rangle} \symdef{cart}[1]{\assoc\times{#1}} \symdef[name=setdiff]{setdiffOp}{\backslash} \symdef{setdiff}[2]{\mixfixii[p=600]{}{#1}\setdiffOp{#2}{}} \symdef[assocarg=1]{set}[1]{\mixfixa[nobrackets]{\{}{#1}{\}},} \symdef{setst}[2]{\mixfixii[nobrackets]{\{}{#1}{\,\mid\,}{#2}{\}}} \begin{definition}[id=functions.def] A {\defi{function}} $\fun{f}AB$ is a left-total, right-unique relation in $\cart{A,B}$ \end{definition} \end{module} \end{omgroup} %%% Local Variables: %%% mode: LaTeX %%% TeX-master: "all" %%% End: