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diff --git a/paper/paper.tex b/paper/paper.tex
index 04bb46f..d2fdcb9 100644
--- a/paper/paper.tex
+++ b/paper/paper.tex
@@ -62,6 +62,7 @@
\newtheorem{lemma}{Lemma}
\newtheorem{corollary}{Corollary}
\newtheorem{remark}{Remark}
+\newtheorem{proposition}{Proposition}
\begin{document}
@@ -108,6 +109,7 @@ Summarize contributions:
\input{sections/results.tex}
\section{A lower bound}
+\label{sec:lowerbound}
\section{Assumptions}
\label{sec:assumptions}
@@ -117,6 +119,9 @@ Summarize contributions:
\section{Discussion}
+\section{Appendix}
+\input{sections/appendix.tex}
+
\bibliography{sparse}
\bibliographystyle{icml2015}