doc-src/IsarAdvanced/Functions/functions.tex

add lemma real_sqrt_sum_squares_less

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\documentclass[11pt,a4paper,fleqn]{article}
\textwidth  15.93cm
\textheight 24cm
\oddsidemargin  0.0cm
\evensidemargin 0.0cm
\topmargin  0.0cm

\usepackage{latexsym,graphicx}
\usepackage[refpage]{nomencl}
\usepackage{../../iman,../../extra,../../isar,../../proof}
\usepackage{Thy/document/isabelle,Thy/document/isabellesym}
\usepackage{style}
\usepackage{Thy/document/pdfsetup}
\usepackage{mathpartir}
\usepackage{amsthm}

\newcommand{\cmd}[1]{\isacommand{#1}}

\newcommand{\isasymINFIX}{\cmd{infix}}
\newcommand{\isasymLOCALE}{\cmd{locale}}
\newcommand{\isasymINCLUDES}{\cmd{includes}}
\newcommand{\isasymDATATYPE}{\cmd{datatype}}
\newcommand{\isasymAXCLASS}{\cmd{axclass}}
\newcommand{\isasymFIXES}{\cmd{fixes}}
\newcommand{\isasymASSUMES}{\cmd{assumes}}
\newcommand{\isasymDEFINES}{\cmd{defines}}
\newcommand{\isasymNOTES}{\cmd{notes}}
\newcommand{\isasymSHOWS}{\cmd{shows}}
\newcommand{\isasymCLASS}{\cmd{class}}
\newcommand{\isasymINSTANCE}{\cmd{instance}}
\newcommand{\isasymLEMMA}{\cmd{lemma}}
\newcommand{\isasymPROOF}{\cmd{proof}}
\newcommand{\isasymQED}{\cmd{qed}}
\newcommand{\isasymFIX}{\cmd{fix}}
\newcommand{\isasymASSUME}{\cmd{assume}}
\newcommand{\isasymSHOW}{\cmd{show}}
\newcommand{\isasymNOTE}{\cmd{note}}
\newcommand{\isasymIN}{\cmd{in}}
\newcommand{\isasymCODEGEN}{\cmd{code\_gen}}
\newcommand{\isasymPRINTCODETHMS}{\cmd{print\_codethms}}
\newcommand{\isasymFUN}{\cmd{fun}}
\newcommand{\isasymFUNCTION}{\cmd{function}}
\newcommand{\isasymPRIMREC}{\cmd{primrec}}
\newcommand{\isasymRECDEF}{\cmd{recdef}}

\newcommand{\qt}[1]{``#1''}
\newcommand{\qtt}[1]{"{}{#1}"{}}
\newcommand{\qn}[1]{\emph{#1}}
\newcommand{\strong}[1]{{\bfseries #1}}
\newcommand{\fixme}[1][!]{\strong{FIXME: #1}}

\newtheorem{exercise}{Exercise}{\bf}{\itshape}
%\newtheorem*{thmstar}{Theorem}{\bf}{\itshape}

\hyphenation{Isabelle}
\hyphenation{Isar}

\isadroptag{theory}
\title{Defining Recursive Functions in Isabelle/HOL}
\author{Alexander Krauss}


\isabellestyle{tt}

\begin{document}

\maketitle

\begin{abstract}
  This tutorial describes the use of the new \emph{function} package,
	which provides general recursive function definitions for Isabelle/HOL.
	

%  starting with very simple examples and the proceeding to the more
%  intricate ones.
\end{abstract}

%\thispagestyle{empty}\clearpage

%\pagenumbering{roman}
%\clearfirst

\input{intro.tex}
\input{Thy/document/Functions.tex}

\begingroup
%\tocentry{\bibname}
\bibliographystyle{plain} \small\raggedright\frenchspacing
\bibliography{../../manual}
\endgroup

\end{document}


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