Skip to main content\(\newcommand{\tuple}[1]{\langle #1 \rangle}
\newcommand{\mb}{\mathbb}
\newcommand{\mc}{\mathcal}
\newcommand{\cl}{\operatorname{cl}}
\renewcommand{\int}{\operatorname{int}}
\newcommand{\ext}{\operatorname{ext}}
\newcommand{\bd}{\operatorname{bd}}
\newcommand{\glb}{\operatorname{glb}}
\newcommand{\lub}{\operatorname{lub}}
\newcommand{\setBuilder}[2]{\left\{#1:#2\right\}}
\newcommand{\setB}{\setBuilder}
\newcommand{\setList}[1]{\left\{#1\right\}}
\newcommand{\setL}{\setList}
\newcommand{\lt}{<}
\newcommand{\gt}{>}
\newcommand{\amp}{&}
\definecolor{fillinmathshade}{gray}{0.9}
\newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}}
\)