preamble.tex

\usepackage{amsmath}
\usepackage{amsthm}
\usepackage{amsfonts}
\usepackage{amsxtra}
\usepackage{mathtools}
\usepackage{upgreek}
\usepackage{prettyref}

\DeclareMathOperator{\Div}{div}
\DeclareMathOperator{\Hom}{Hom}
\DeclareMathOperator{\supp}{supp}
\newcommand{\set}[1]{\mathbf{#1}}
\newcommand{\id}{\mathrm{id}}
\newcommand{\pr}{\mathrm{pr}}
\newcommand{\diff}{\mathrm d}
\newcommand{\Tang}{\mathrm T}
\DeclarePairedDelimiter{\form}{\langle}{\rangle}
\DeclarePairedDelimiter{\Enum}{\lbrace}{\rbrace}
\DeclarePairedDelimiter{\abs}{|}{|}
\DeclarePairedDelimiter{\norm}{\|}{\|}
\DeclarePairedDelimiter{\Set}{\lbrace}{\rbrace}

\theoremstyle{plain}
\newtheorem{thm}{Theorem}[chapter]
\newtheorem{lem}{Lemma}[chapter]
\newtheorem{cor}{Corollary}[chapter]
\newtheorem{prop}{Proposition}[chapter]
\theoremstyle{definition}
\newtheorem{dfn}{Definition}[chapter]
\newtheorem{xca}{Problem}[chapter]

\newrefformat{prop}{Proposition \ref{#1}}