# HG changeset patch # User wenzelm # Date 1003602021 -7200 # Node ID d190028f43c50ee959a803b061790756bf9c6924 # Parent cdfc3fce577ea6c277a43632e748ed01c92bf64b include document graph; tuned; diff -r cdfc3fce577e -r d190028f43c5 src/HOL/Real/HahnBanach/document/root.tex --- a/src/HOL/Real/HahnBanach/document/root.tex Sat Oct 20 20:19:47 2001 +0200 +++ b/src/HOL/Real/HahnBanach/document/root.tex Sat Oct 20 20:20:21 2001 +0200 @@ -1,6 +1,6 @@ \documentclass[10pt,a4paper,twoside]{article} - +\usepackage{graphicx} \usepackage{latexsym,theorem} \usepackage{isabelle,isabellesym} \usepackage{pdfsetup} %last one! @@ -17,7 +17,7 @@ \pagestyle{headings} \pagenumbering{arabic} -\title{The Hahn-Banach Theorem for Real Vector Spaces} +\title{The Hahn-Banach Theorem \\ for Real Vector Spaces} \author{Gertrud Bauer \\ \url{http://www.in.tum.de/~bauerg/}} \maketitle @@ -44,12 +44,16 @@ \medskip The document is structured as follows. The first part contains definitions of basic notions of linear algebra: vector spaces, subspaces, -normed spaces, continuous linearforms, norm of functions and an order on +normed spaces, continuous linear-forms, norm of functions and an order on functions by domain extension. The second part contains some lemmas about the supremum (w.r.t.\ the function order) and extension of non-maximal functions. With these preliminaries, the main proof of the theorem (in its two versions) -is conducted in the third part. +is conducted in the third part. The dependencies of individual theories are +as follows. +\begin{center} + \includegraphics[scale=0.7]{session_graph} +\end{center} \clearpage \part {Basic Notions}