typical-macros

\newtheorem{theorem}{Theorem}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{propn}[theorem]{Proposition}
\newtheorem{conjecture}[theorem]{Hypothesis}
\newtheorem{lemma}[theorem]{Lemma}

\theoremstyle{definition}
\newtheorem{defn}{Definition}

\theoremstyle{remark}
\newtheorem{remark}{Remark}
\newtheorem*{prob}{Problem}

% none of this block is needed, but a coauthor put it in
\usepackage{lipsum}
\usepackage{xargs}
\usepackage[pdftex,dvipsnames]{xcolor}
\usepackage[colorinlistoftodos,prependcaption,textsize=tiny]{todonotes}
\newcommandx{\myworries}[2][1=]{\todo[linecolor=red,backgroundcolor=red!25,bordercolor=red,#1]{#2}}

\title...
\date{}

\author stuff

\newcommand{\N}{\mathbb{N}}
\newcommand{\SPACE}{\textup{SPACE}}
\newcommand{\TIME}{\textup{TIME}}
\newcommand{\TISP}{\textup{TISP}}
\renewcommand{\P}{\textup{P}}
\renewcommand{\L}{\textup{SPACE}(\log(n))}
\newcommand{\NP}{\textup{NP}}
\newcommand{\PSPACE}{\textup{PSPACE}}