Unifying pass over the whole paper

1 files changed, 8 insertions, 6 deletions

diff --git a/definitions.tex b/definitions.tex
index 281b290..a05edae 100644
--- a/definitions.tex
+++ b/definitions.tex
@@ -1,12 +1,14 @@
 \newcommand{\mutual}{\ensuremath{{I}}}
 \newcommand{\entropy}{\ensuremath{{H}}}
 \newtheorem{lemma}{Lemma}
-\newtheorem{proposition}{Proposition}
-\newtheorem{fact}{Fact}
-\newtheorem{example}{Example}
-\newtheorem{prop}{Proposition}
-\newtheorem{theorem}{Theorem}
-\newtheorem{corollary}{Corollary}
+\newtheorem{proposition}[lemma]{Proposition}
+\newtheorem{fact}[lemma]{Fact}
+\newtheorem{example}[lemma]{Example}
+\newtheorem{prop}[lemma]{Proposition}
+\newtheorem{theorem}[lemma]{Theorem}
+\newtheorem{corollary}[lemma]{Corollary}
+\theoremstyle{definition}
+\newtheorem*{definition}{Definition}
 \newcommand{\citeN}{\citet}
 %\newcommand*{\defeq}{\stackrel{\text{def}}{=}}
 \newcommand*{\defeq}{\equiv}