\ProvidesPackage{shorthand}
% ---------------------------------------------------------------------

\newcommand{\egfcoefficient}{\ensuremath{\left[\frac{x^n}{n!}\right]}}
\newcommand{\ogfcoefficient}{\ensuremath{\left[x^n\right]}}
\newcommand{\falling}[1]{^{\underline{#1}}}
\newcommand{\divides}{\ensuremath{\;\backslash\;}}

\newcommand{\sumgz}{\ensuremath{\sum_{n\geq 0}}}
\newcommand{\sumdiv}{\ensuremath{\sum_{d\divides n}}}

\newcommand{\union}{\ensuremath{\cup}}
\newcommand{\intersect}{\ensuremath{\cap}}