diff --git a/gpl-lgpl.tex b/gpl-lgpl.tex
index 3f8db7be6449e1a70fb2f66c2b8575d62680a230..f9722e800fb7929440e49f89606121696c5b0979 100644
--- a/gpl-lgpl.tex
+++ b/gpl-lgpl.tex
@@ -2333,7 +2333,7 @@ set forth in GPLv3~\S5, as described later in this tutorial in its
 rights, and then this definition of ``modify'' is used to define ``modified
 version of'' and ``work based on,'' as synonyms.
 
-\section{The Covered Work}
+\subsection{The Covered Work}
 
 GPLv3 uses a common license drafting technique of building upon simpler
 definitions to make complex ones.  The Program is a defined term found
@@ -2343,7 +2343,7 @@ definition.  GPLv3 offers a single term ``covered work'', which enables some
 of the wording in GPLv3 to be simpler and clearer than its GPLv2
 counterparts.
 
-\section{Propagate}
+\subsection{Propagate}
 
 The term ``propagate'' serves two purposes.  First, ``propagate'' provides a
 simple and convenient means for distinguishing between the kinds of uses of a
@@ -2384,14 +2384,14 @@ some particular national copyright statute.  This helps not only with
 internationalization, but also factually-based terminology aids in
 developers' and users' understanding of GPL\@.
 
-\section{Convey}
+\subsection{Convey}
 
 Further to this point, a subset of propagate --- ``convey'' --- is defined.
 Conveying includes activities that constitute propagation of copies to
 others.  As with the definition of propagate, GPLv3 thus addresses transfers
 of copies of software in behavioral rather than statutory terms.  
 
-\section{Appropriate Legal Notices}
+\subsection{Appropriate Legal Notices}
 
 GPLv2 used the term ``appropriate copyright notice and disclaimer of
 warranty'' in two places, which is a rather bulk term.  Also, experience with
@@ -2401,7 +2401,7 @@ conveyance were more broad that merely the copyright notices.  The
 Appropriate Legal Notice definition consolidates the material that GPLv2
 traditionally required preserved into one definition.
 
-\section{Other Defined Terms}
+\subsection{Other Defined Terms}
 
 Note finally that not all defined terms in GPLv3 appear in GPLv3~\S0.
 Specifically, those defined terms that are confined in use to a single