--- a/pnas/preamble.tex	Mon Oct 25 14:01:33 2010 -0700
+++ b/pnas/preamble.tex	Tue Oct 26 23:47:07 2010 -0700
@@ -48,7 +48,9 @@
 \newtheorem{property}{Property}
 \newtheorem{prop}{Proposition}
 \newtheorem{thm}[prop]{Theorem}
+\newtheorem{lem}[prop]{Lemma}
 \newtheorem{defn}[prop]{Definition}
+\newtheorem{axiom}[prop]{Axiom}
 
 \newenvironment{rem}{\noindent\textsl{Remark.}}{}
 
@@ -76,6 +78,9 @@
 \newcommand{\googlebooks}[1]{(preview at \href{http://books.google.com/books?id=#1}{google books})}
 
 
+\newcommand{\todo}[1]{\textbf{\color[rgb]{.8,.2,.5}\small TODO: #1}}
+
+
 % figures
 
 \newcommand{\mathfig}[2]{\ensuremath{\hspace{-3pt}\begin{array}{c}%