updated;

--- a/doc-src/TutorialI/Documents/document/Documents.tex	Sat Jan 05 21:41:11 2002 +0100
+++ b/doc-src/TutorialI/Documents/document/Documents.tex	Sat Jan 05 21:41:38 2002 +0100
@@ -9,11 +9,10 @@
 %
 \begin{isamarkuptext}%
 Concerning Isabelle's ``inner'' language of simply-typed \isa{{\isasymlambda}}-calculus, the core concept of Isabelle's elaborate infrastructure
-  for concrete syntax is that of general \emph{mixfix
-  annotations}\index{mixfix annotations|bold}.  Associated with any
-  kind of name and type declaration, mixfixes give rise both to
-  grammar productions for the parser and output templates for the
-  pretty printer.
+  for concrete syntax is that of general \bfindex{mixfix annotations}.
+  Associated with any kind of name and type declaration, mixfixes give
+  rise both to grammar productions for the parser and output templates
+  for the pretty printer.
 
   In full generality, the whole affair of parser and pretty printer
   configuration is rather subtle.  Any syntax specifications given by
@@ -28,7 +27,7 @@
 \end{isamarkuptext}%
 \isamarkuptrue%
 %
-\isamarkupsubsection{Infixes%
+\isamarkupsubsection{Infix annotations%
 }
 \isamarkuptrue%
 %
@@ -40,11 +39,11 @@
   well, although this is less frequently encountered in practice
   (\isa{{\isacharasterisk}} and \isa{{\isacharplus}} types may come to mind).
 
-  Infix declarations\index{infix annotations|bold} provide a useful
-  special case of mixfixes, where users need not care about the full
-  details of priorities, nesting, spacing, etc.  The subsequent
-  example of the exclusive-or operation on boolean values illustrates
-  typical infix declarations.%
+  Infix declarations\index{infix annotations} provide a useful special
+  case of mixfixes, where users need not care about the full details
+  of priorities, nesting, spacing, etc.  The subsequent example of the
+  exclusive-or operation on boolean values illustrates typical infix
+  declarations.%
 \end{isamarkuptext}%
 \isamarkuptrue%
 \isacommand{constdefs}\isanewline
@@ -120,11 +119,10 @@
   proposed over decades, but none has become universally available so
   far, not even Unicode\index{Unicode}.
 
-  Isabelle supports a generic notion of
-  \emph{symbols}\index{symbols|bold} as the smallest entities of
-  source text, without referring to internal encodings.  Such
-  ``generalized characters'' may be of one of the following three
-  kinds:
+  Isabelle supports a generic notion of \bfindex{symbols} as the
+  smallest entities of source text, without referring to internal
+  encodings.  Such ``generalized characters'' may be of one of the
+  following three kinds:
 
   \begin{enumerate}
 
@@ -172,10 +170,10 @@
   immediately after continuing further input.
 
   \medskip A slightly more refined scheme is to provide alternative
-  syntax via the \emph{print mode}\index{print mode} concept of
-  Isabelle (see also \cite{isabelle-ref}).  By convention, the mode
-  ``$xsymbols$'' is enabled whenever X-Symbol is active.  Consider the
-  following hybrid declaration of \isa{xor}.%
+  syntax via the \bfindex{print mode} concept of Isabelle (see also
+  \cite{isabelle-ref}).  By convention, the mode ``$xsymbols$'' is
+  enabled whenever X-Symbol is active.  Consider the following hybrid
+  declaration of \isa{xor}.%
 \end{isamarkuptext}%
 \isamarkuptrue%
 \isamarkupfalse%
@@ -220,15 +218,15 @@
 \isacommand{syntax}\ {\isacharparenleft}xsymbols\ \isakeyword{output}{\isacharparenright}\isanewline
 \ \ xor\ {\isacharcolon}{\isacharcolon}\ {\isachardoublequote}bool\ {\isasymRightarrow}\ bool\ {\isasymRightarrow}\ bool{\isachardoublequote}\ \ \ \ {\isacharparenleft}\isakeyword{infixl}\ {\isachardoublequote}{\isasymoplus}{\isasymignore}{\isachardoublequote}\ {\isadigit{6}}{\isadigit{0}}{\isacharparenright}\isamarkupfalse%
 %
-\isamarkupsubsection{Prefixes%
+\isamarkupsubsection{Prefix annotations%
 }
 \isamarkuptrue%
 %
 \begin{isamarkuptext}%
-Prefix syntax annotations\index{prefix annotation|bold} are just a
-  very degenerate of the general mixfix form \cite{isabelle-ref},
-  without any template arguments or priorities --- just some piece of
-  literal syntax.
+Prefix syntax annotations\index{prefix annotation} are just a very
+  degenerate of the general mixfix form \cite{isabelle-ref}, without
+  any template arguments or priorities --- just some piece of literal
+  syntax.
 
   The following example illustrates this idea idea by associating
   common symbols with the constructors of a currency datatype.%
@@ -244,31 +242,25 @@
 Here the degenerate mixfix annotations on the rightmost column
   happen to consist of a single Isabelle symbol each:
   \verb,\,\verb,<euro>,, \verb,\,\verb,<pounds>,,
-  \verb,\,\verb,<yen>,, and \verb,$,.
+  \verb,\,\verb,<yen>,, \verb,$,.
 
   Recall that a constructor like \isa{Euro} actually is a function
   \isa{nat\ {\isasymRightarrow}\ currency}.  An expression like \isa{Euro\ {\isadigit{1}}{\isadigit{0}}} will
-  be printed as \isa{{\isasymeuro}\ {\isadigit{1}}{\isadigit{0}}}.  Merely the head of the application is
-  subject to our trivial concrete syntax; this form is sufficient to
-  achieve fair conformance to EU~Commission standards of currency
-  notation.
+  be printed as \isa{{\isasymeuro}\ {\isadigit{1}}{\isadigit{0}}}.  Only the head of the application is
+  subject to our concrete syntax; this simple form already achieves
+  conformance with notational standards of the European Commission.
 
   \medskip Certainly, the same idea of prefix syntax also works for
   \isakeyword{consts}, \isakeyword{constdefs} etc.  For example, we
   might introduce a (slightly unrealistic) function to calculate an
   abstract currency value, by cases on the datatype constructors and
-  fixed exchange rates.%
+  fixed exchange rates.  The funny symbol used here is that of
+  \verb,\<currency>,.%
 \end{isamarkuptext}%
 \isamarkuptrue%
 \isacommand{consts}\isanewline
 \ \ currency\ {\isacharcolon}{\isacharcolon}\ {\isachardoublequote}currency\ {\isasymRightarrow}\ nat{\isachardoublequote}\ \ \ \ {\isacharparenleft}{\isachardoublequote}{\isasymcurrency}{\isachardoublequote}{\isacharparenright}\isamarkupfalse%
 %
-\begin{isamarkuptext}%
-\noindent The funny symbol encountered here is that of
-  \verb,\<currency>,.%
-\end{isamarkuptext}%
-\isamarkuptrue%
-%
 \isamarkupsubsection{Syntax translations \label{sec:def-translations}%
 }
 \isamarkuptrue%
@@ -312,24 +304,250 @@
 }
 \isamarkuptrue%
 %
-\isamarkupsubsection{Batch-mode sessions%
-}
+\begin{isamarkuptext}%
+Isabelle/Isar is centered around a certain notion of \bfindex{formal
+  proof documents}\index{documents|bold}: ultimately the result of the
+  user's theory development efforts is a human-readable record --- as
+  a browsable PDF file or printed on paper.  The overall document
+  structure follows traditional mathematical articles, with
+  sectioning, explanations, definitions, theorem statements, and
+  proofs.
+
+  The Isar proof language \cite{Wenzel-PhD}, which is not covered in
+  this book, admits to write formal proof texts that are acceptable
+  both to the machine and human readers at the same time.  Thus
+  marginal comments and explanations may be kept at a minimum.
+  Nevertheless, Isabelle document output is still useful without
+  actual Isar proof texts; formal specifications usually deserve their
+  own coverage in the text, while unstructured proof scripts may be
+  just ignore by readers (or intentionally suppressed from the text).
+
+  \medskip The Isabelle document preparation system essentially acts
+  like a formal front-end for {\LaTeX}.  After checking definitions
+  and proofs the theory sources are turned into typesetting
+  instructions, so the final document is known to observe quite strong
+  ``soundness'' properties.  This enables users to write authentic
+  reports on formal theory developments with little additional effort,
+  the most tedious consistency checks are handled by the system.%
+\end{isamarkuptext}%
 \isamarkuptrue%
 %
-\isamarkupsubsection{{\LaTeX} macros%
-}
-\isamarkuptrue%
-%
-\isamarkupsubsubsection{Structure markup%
-}
-\isamarkuptrue%
-%
-\isamarkupsubsubsection{Symbols and characters%
+\isamarkupsubsection{Isabelle sessions%
 }
 \isamarkuptrue%
 %
 \begin{isamarkuptext}%
-FIXME%
+In contrast to the highly interactive mode of the formal parts of
+  Isabelle/Isar theory development, the document preparation stage
+  essentially works in batch-mode.  This revolves around the concept
+  of a \bfindex{session}, which essentially consists of a collection
+  of theory source files that contribute to a single output document.
+  Each session is derived from a parent one (usually an object-logic
+  image such as \texttt{HOL}); this results in an overall tree
+  structure of Isabelle sessions.
+
+  The canonical arrangement of source files of a session called
+  \texttt{MySession} is as follows:
+
+  \begin{itemize}
+
+  \item Directory \texttt{MySession} contains the required theory
+  files, say $A@1$\texttt{.thy}, \dots, $A@n$\texttt{.thy}.
+
+  \item File \texttt{MySession/ROOT.ML} holds appropriate ML commands
+  for loading all wanted theories, usually just
+  \texttt{use_thy~"$A@i$"} for any $A@i$ in leaf position of the
+  theory dependency graph.
+
+  \item Directory \texttt{MySession/document} contains everything
+  required for the {\LaTeX} stage, but only \texttt{root.tex} needs to
+  be provided initially.  The latter file holds appropriate {\LaTeX}
+  code to commence a document (\verb,\documentclass, etc.), and to
+  include the generated files $A@i$\texttt{.tex} for each theory.  The
+  generated file \texttt{session.tex} holds {\LaTeX} commands to
+  include \emph{all} theory output files in topologically sorted
+  order.
+
+  \item In addition an \texttt{IsaMakefile} outside of directory
+  \texttt{MySession} holds appropriate dependencies and invocations of
+  Isabelle tools to control the batch job.  The details are covered in
+  \cite{isabelle-sys}; \texttt{isatool usedir} is the most important
+  entry point.
+
+  \end{itemize}
+
+  With everything put in its proper place, \texttt{isatool make}
+  should be sufficient to process the Isabelle session completely,
+  with the generated document appearing in its proper place (within
+  \verb,~/isabelle/browser_info,).
+
+  In practive, users may want to have \texttt{isatool mkdir} generate
+  an initial working setup without further ado.  For example, an empty
+  session \texttt{MySession} derived from \texttt{HOL} may be produced
+  as follows:
+
+\begin{verbatim}
+  isatool mkdir HOL MySession
+  isatool make
+\end{verbatim}
+
+  This runs the session with sensible default options, including
+  verbose mode to tell the user where the result will appear.  The
+  above dry run should produce should produce a single page of output
+  (with a dummy title, empty table of contents etc.).  Any failure at
+  that stage is likely to indicate some technical problems with your
+  {\LaTeX} installation.\footnote{Especially make sure that
+  \texttt{pdflatex} is present.}
+
+  \medskip Users may now start to populate the directory
+  \texttt{MySession}, and the file \texttt{MySession/ROOT.ML}
+  accordingly.  \texttt{MySession/document/root.tex} should be also
+  adapted at some point; the generated version is mostly
+  self-explanatory.
+
+  Realistic applications may demand additional files in
+  \texttt{MySession/document} for the {\LaTeX} stage, such as
+  \texttt{root.bib} for the bibliographic database.\footnote{Using
+  that particular name of \texttt{root.bib}, the Isabelle document
+  processor (actually \texttt{isatool document} \cite{isabelle-sys})
+  will be smart enough to invoke \texttt{bibtex} accordingly.}
+
+  \medskip Failure of the document preparation phase in an Isabelle
+  batch session leaves the generated sources in there target location
+  (as pointed out by the accompanied error message).  In case of
+  {\LaTeX} errors, users may trace error messages at the file position
+  of the generated text.%
+\end{isamarkuptext}%
+\isamarkuptrue%
+%
+\isamarkupsubsection{Structure markup%
+}
+\isamarkuptrue%
+%
+\isamarkupsubsubsection{Sections%
+}
+\isamarkuptrue%
+%
+\begin{isamarkuptext}%
+The large-scale structure of Isabelle documents closely follows
+  {\LaTeX} convention, with chapters, sections, subsubsections etc.
+  The formal Isar language includes separate structure \bfindex{markup
+  commands}, which do not effect the formal content of a theory (or
+  proof), but results in corresponding {\LaTeX} elements issued to the
+  output.
+
+  There are different markup commands for different formal contexts:
+  in header position (just before a \isakeyword{theory} command),
+  within the theory body, or within a proof.  Note that the header
+  needs to be treated specially, since ordinary theory and proof
+  commands may only occur \emph{after} the initial \isakeyword{theory}
+  specification.
+
+  \smallskip
+
+  \begin{tabular}{llll}
+  header & theory & proof & default meaning \\\hline
+    & \commdx{chapter} & & \verb,\chapter, \\
+  \commdx{header} & \commdx{section} & \commdx{sect} & \verb,\section, \\
+    & \commdx{subsection} & \commdx{subsect} & \verb,\subsection, \\
+    & \commdx{subsubsection} & \commdx{subsubsect} & \verb,\subsubsection, \\
+  \end{tabular}
+
+  \medskip
+
+  From the Isabelle perspective, each markup command takes a single
+  text argument (delimited by \verb,",\dots\verb,", or
+  \verb,{,\verb,*,~\dots~\verb,*,\verb,},).  After stripping
+  surrounding white space, the argument is passed to a {\LaTeX} macro
+  \verb,\isamarkupXXX, for any command \isakeyword{XXX}.  The latter
+  are defined in \verb,isabelle.sty, according to the rightmost column
+  above.
+
+  \medskip The following source fragment illustrates structure markup
+  of a theory.
+
+  \begin{ttbox}
+  header {\ttlbrace}* Some properties of Foo Bar elements *{\ttrbrace}
+
+  theory Foo_Bar = Main:
+
+  subsection {\ttlbrace}* Basic definitions *{\ttrbrace}
+
+  consts
+    foo :: \dots
+    bar :: \dots
+  defs \dots
+    
+  subsection {\ttlbrace}* Derived rules *{\ttrbrace}
+
+  lemma fooI: \dots
+  lemma fooE: \dots
+
+  subsection {\ttlbrace}* Main theorem *{\ttrbrace}
+
+  theorem main: \dots
+
+  end
+  \end{ttbox}
+
+  \medskip In realistic applications, users may well want to change
+  the meaning of some markup commands, typically via appropriate use
+  of \verb,\renewcommand, in \texttt{root.tex}.  The
+  \verb,\isamarkupheader, is a good candidate for some adaption, e.g.\
+  moving it up in the hierarchy to become \verb,\chapter,.
+
+\begin{verbatim}
+  \renewcommand{\isamarkupheader}[1]{\chapter{#1}}
+\end{verbatim}
+
+  Certainly, this requires to change the default
+  \verb,\documentclass{article}, in \texttt{root.tex} to something
+  that supports the notion of chapters in the first place, e.g.\
+  \texttt{report} or \texttt{book}.
+
+  \medskip For each generated theory output the {\LaTeX} macro
+  \verb,\isabellecontext, holds the name of the formal context.  This
+  is particularly useful for document headings or footings, e.g.\ like
+  this:
+
+\begin{verbatim}
+  \renewcommand{\isamarkupheader}[1]%
+  {\chapter{#1}\markright{THEORY~\isabellecontext}}
+\end{verbatim}
+
+  \noindent Make sure to include something like
+  \verb,\pagestyle{headings}, in \texttt{root.tex} as well.  Moreover,
+  the document should have more than 2 pages.%
+\end{isamarkuptext}%
+\isamarkuptrue%
+%
+\isamarkupsubsection{Formal comments and antiquotations%
+}
+\isamarkuptrue%
+%
+\begin{isamarkuptext}%
+Comments of the form \verb,(*,~\dots~\verb,*),%
+\end{isamarkuptext}%
+\isamarkuptrue%
+%
+\isamarkupsubsection{Symbols and characters%
+}
+\isamarkuptrue%
+%
+\begin{isamarkuptext}%
+FIXME \verb,\isabellestyle,%
+\end{isamarkuptext}%
+\isamarkuptrue%
+%
+\isamarkupsubsection{Suppressing output%
+}
+\isamarkuptrue%
+%
+\begin{isamarkuptext}%
+FIXME \verb,no_document,
+
+  FIXME \verb,(,\verb,*,\verb,<,\verb,*,\verb,),
+  \verb,(,\verb,*,\verb,>,\verb,*,\verb,),%
 \end{isamarkuptext}%
 \isamarkuptrue%
 \isamarkupfalse%

--- a/doc-src/TutorialI/tutorial.ind	Sat Jan 05 21:41:11 2002 +0100
+++ b/doc-src/TutorialI/tutorial.ind	Sat Jan 05 21:41:38 2002 +0100
@@ -1,661 +1,661 @@
 \begin{theindex}
 
-  \item \ttall, \bold{203}
-  \item \texttt{?}, \bold{203}
-  \item \isasymuniqex, \bold{203}
-  \item \ttuniquex, \bold{203}
-  \item {\texttt {\&}}, \bold{203}
-  \item \verb$~$, \bold{203}
-  \item \verb$~=$, \bold{203}
-  \item \ttor, \bold{203}
+  \item \ttall, \bold{207}
+  \item \texttt{?}, \bold{207}
+  \item \isasymuniqex, \bold{207}
+  \item \ttuniquex, \bold{207}
+  \item {\texttt {\&}}, \bold{207}
+  \item \verb$~$, \bold{207}
+  \item \verb$~=$, \bold{207}
+  \item \ttor, \bold{207}
   \item \texttt{[]}, \bold{9}
   \item \texttt{\#}, \bold{9}
-  \item \texttt{\at}, \bold{10}, \hyperpage{203}
-  \item \isasymnotin, \bold{203}
-  \item \verb$~:$, \bold{203}
-  \item \isasymInter, \bold{203}
-  \item \isasymUnion, \bold{203}
-  \item \isasyminverse, \bold{203}
-  \item \verb$^-1$, \bold{203}
-  \item \isactrlsup{\isacharasterisk}, \bold{203}
-  \item \verb$^$\texttt{*}, \bold{203}
-  \item \isasymAnd, \bold{12}, \bold{203}
-  \item \ttAnd, \bold{203}
-  \item \isasymrightleftharpoons, \hyperpage{57}
-  \item \isasymrightharpoonup, \hyperpage{57}
-  \item \isasymleftharpoondown, \hyperpage{57}
+  \item \texttt{\at}, \bold{10}, 207
+  \item \isasymnotin, \bold{207}
+  \item \verb$~:$, \bold{207}
+  \item \isasymInter, \bold{207}
+  \item \isasymUnion, \bold{207}
+  \item \isasyminverse, \bold{207}
+  \item \verb$^-1$, \bold{207}
+  \item \isactrlsup{\isacharasterisk}, \bold{207}
+  \item \verb$^$\texttt{*}, \bold{207}
+  \item \isasymAnd, \bold{12}, \bold{207}
+  \item \ttAnd, \bold{207}
+  \item \isasymrightleftharpoons, 57
+  \item \isasymrightharpoonup, 57
+  \item \isasymleftharpoondown, 57
   \item \emph {$\Rightarrow $}, \bold{5}
-  \item \ttlbr, \bold{203}
-  \item \ttrbr, \bold{203}
-  \item \texttt {\%}, \bold{203}
+  \item \ttlbr, \bold{207}
+  \item \ttrbr, \bold{207}
+  \item \texttt {\%}, \bold{207}
   \item \texttt {;}, \bold{7}
-  \item \isa {()} (constant), \hyperpage{24}
-  \item \isa {+} (tactical), \hyperpage{93}
+  \item \isa {()} (constant), 24
+  \item \isa {+} (tactical), 97
   \item \isa {<*lex*>}, \see{lexicographic product}{1}
-  \item \isa {?} (tactical), \hyperpage{93}
-  \item \texttt{|} (tactical), \hyperpage{93}
+  \item \isa {?} (tactical), 97
+  \item \texttt{|} (tactical), 97
 
   \indexspace
 
-  \item \isa {0} (constant), \hyperpage{22, 23}, \hyperpage{144}
-  \item \isa {1} (constant), \hyperpage{23}, \hyperpage{144, 145}
+  \item \isa {0} (constant), 22, 23, 148
+  \item \isa {1} (constant), 23, 148, 149
 
   \indexspace
 
   \item abandoning a proof, \bold{13}
   \item abandoning a theory, \bold{16}
-  \item \isa {abs} (constant), \hyperpage{147}
-  \item \texttt {abs}, \bold{203}
-  \item absolute value, \hyperpage{147}
-  \item \isa {add} (modifier), \hyperpage{29}
-  \item \isa {add_ac} (theorems), \hyperpage{146}
-  \item \isa {add_assoc} (theorem), \bold{146}
-  \item \isa {add_commute} (theorem), \bold{146}
-  \item \isa {add_mult_distrib} (theorem), \bold{145}
-  \item \texttt {ALL}, \bold{203}
-  \item \isa {All} (constant), \hyperpage{103}
-  \item \isa {allE} (theorem), \bold{75}
-  \item \isa {allI} (theorem), \bold{74}
-  \item append function, \hyperpage{10--14}
-  \item \isacommand {apply} (command), \hyperpage{15}
-  \item \isa {arg_cong} (theorem), \bold{90}
-  \item \isa {arith} (method), \hyperpage{23}, \hyperpage{143}
+  \item \isa {abs} (constant), 151
+  \item \texttt {abs}, \bold{207}
+  \item absolute value, 151
+  \item \isa {add} (modifier), 29
+  \item \isa {add_ac} (theorems), 150
+  \item \isa {add_assoc} (theorem), \bold{150}
+  \item \isa {add_commute} (theorem), \bold{150}
+  \item \isa {add_mult_distrib} (theorem), \bold{149}
+  \item \texttt {ALL}, \bold{207}
+  \item \isa {All} (constant), 107
+  \item \isa {allE} (theorem), \bold{79}
+  \item \isa {allI} (theorem), \bold{78}
+  \item append function, 10--14
+  \item \isacommand {apply} (command), 15
+  \item \isa {arg_cong} (theorem), \bold{94}
+  \item \isa {arith} (method), 23, 147
   \item arithmetic operations
-    \subitem for \protect\isa{nat}, \hyperpage{23}
-  \item \textsc {ascii} symbols, \bold{203}
-  \item Aspinall, David, \hyperpage{viii}
-  \item associative-commutative function, \hyperpage{170}
-  \item \isa {assumption} (method), \hyperpage{63}
+    \subitem for \protect\isa{nat}, 23
+  \item \textsc {ascii} symbols, \bold{207}
+  \item Aspinall, David, viii
+  \item associative-commutative function, 174
+  \item \isa {assumption} (method), 67
   \item assumptions
-    \subitem of subgoal, \hyperpage{12}
-    \subitem renaming, \hyperpage{76--77}
-    \subitem reusing, \hyperpage{77}
-  \item \isa {auto} (method), \hyperpage{38}, \hyperpage{86}
-  \item \isa {axclass}, \hyperpage{158--164}
-  \item axiom of choice, \hyperpage{80}
-  \item axiomatic type classes, \hyperpage{158--164}
+    \subitem of subgoal, 12
+    \subitem renaming, 80--81
+    \subitem reusing, 81
+  \item \isa {auto} (method), 38, 90
+  \item \isa {axclass}, 162--168
+  \item axiom of choice, 84
+  \item axiomatic type classes, 162--168
 
   \indexspace
 
-  \item \isacommand {back} (command), \hyperpage{72}
-  \item \isa {Ball} (constant), \hyperpage{103}
-  \item \isa {ballI} (theorem), \bold{102}
-  \item \isa {best} (method), \hyperpage{86}
-  \item \isa {Bex} (constant), \hyperpage{103}
-  \item \isa {bexE} (theorem), \bold{102}
-  \item \isa {bexI} (theorem), \bold{102}
-  \item \isa {bij_def} (theorem), \bold{104}
-  \item bijections, \hyperpage{104}
-  \item binary trees, \hyperpage{18}
-  \item binomial coefficients, \hyperpage{103}
-  \item bisimulations, \hyperpage{110}
-  \item \isa {blast} (method), \hyperpage{83--84}, \hyperpage{86}
-  \item \isa {bool} (type), \hyperpage{4, 5}
-  \item boolean expressions example, \hyperpage{20--22}
-  \item \isa {bspec} (theorem), \bold{102}
-  \item \isacommand{by} (command), \hyperpage{67}
+  \item \isacommand {back} (command), 76
+  \item \isa {Ball} (constant), 107
+  \item \isa {ballI} (theorem), \bold{106}
+  \item \isa {best} (method), 90
+  \item \isa {Bex} (constant), 107
+  \item \isa {bexE} (theorem), \bold{106}
+  \item \isa {bexI} (theorem), \bold{106}
+  \item \isa {bij_def} (theorem), \bold{108}
+  \item bijections, 108
+  \item binary trees, 18
+  \item binomial coefficients, 107
+  \item bisimulations, 114
+  \item \isa {blast} (method), 87--88, 90
+  \item \isa {bool} (type), 4, 5
+  \item boolean expressions example, 20--22
+  \item \isa {bspec} (theorem), \bold{106}
+  \item \isacommand{by} (command), 71
 
   \indexspace
 
-  \item \isa {card} (constant), \hyperpage{103}
-  \item \isa {card_Pow} (theorem), \bold{103}
-  \item \isa {card_Un_Int} (theorem), \bold{103}
-  \item cardinality, \hyperpage{103}
-  \item \isa {case} (symbol), \hyperpage{32, 33}
-  \item \isa {case} expressions, \hyperpage{5, 6}, \hyperpage{18}
-  \item case distinctions, \hyperpage{19}
+  \item \isa {card} (constant), 107
+  \item \isa {card_Pow} (theorem), \bold{107}
+  \item \isa {card_Un_Int} (theorem), \bold{107}
+  \item cardinality, 107
+  \item \isa {case} (symbol), 32, 33
+  \item \isa {case} expressions, 5, 6, 18
+  \item case distinctions, 19
   \item case splits, \bold{31}
-  \item \isa {case_tac} (method), \hyperpage{19}, \hyperpage{95}, 
-		\hyperpage{151}
-  \item \isa {cases} (method), \hyperpage{156}
-  \item \isa {clarify} (method), \hyperpage{85, 86}
-  \item \isa {clarsimp} (method), \hyperpage{85, 86}
-  \item \isa {classical} (theorem), \bold{67}
-  \item coinduction, \bold{110}
-  \item \isa {Collect} (constant), \hyperpage{103}
-  \item compiling expressions example, \hyperpage{36--38}
-  \item \isa {Compl_iff} (theorem), \bold{100}
+  \item \isa {case_tac} (method), 19, 99, 155
+  \item \isa {cases} (method), 160
+  \item \isacommand {chapter} (command), 59
+  \item \isa {clarify} (method), 89, 90
+  \item \isa {clarsimp} (method), 89, 90
+  \item \isa {classical} (theorem), \bold{71}
+  \item coinduction, \bold{114}
+  \item \isa {Collect} (constant), 107
+  \item compiling expressions example, 36--38
+  \item \isa {Compl_iff} (theorem), \bold{104}
   \item complement
-    \subitem of a set, \hyperpage{99}
+    \subitem of a set, 103
   \item composition
-    \subitem of functions, \bold{104}
-    \subitem of relations, \bold{106}
+    \subitem of functions, \bold{108}
+    \subitem of relations, \bold{110}
   \item conclusion
-    \subitem of subgoal, \hyperpage{12}
+    \subitem of subgoal, 12
   \item conditional expressions, \see{\isa{if} expressions}{1}
-  \item conditional simplification rules, \hyperpage{31}
-  \item \isa {cong} (attribute), \hyperpage{170}
-  \item congruence rules, \bold{169}
-  \item \isa {conjE} (theorem), \bold{65}
-  \item \isa {conjI} (theorem), \bold{62}
-  \item \isa {Cons} (constant), \hyperpage{9}
-  \item \isacommand {constdefs} (command), \hyperpage{25}
-  \item \isacommand {consts} (command), \hyperpage{10}
-  \item contrapositives, \hyperpage{67}
+  \item conditional simplification rules, 31
+  \item \isa {cong} (attribute), 174
+  \item congruence rules, \bold{173}
+  \item \isa {conjE} (theorem), \bold{69}
+  \item \isa {conjI} (theorem), \bold{66}
+  \item \isa {Cons} (constant), 9
+  \item \isacommand {constdefs} (command), 25
+  \item \isacommand {consts} (command), 10
+  \item contrapositives, 71
   \item converse
-    \subitem of a relation, \bold{106}
-  \item \isa {converse_iff} (theorem), \bold{106}
-  \item CTL, \hyperpage{115--120}, \hyperpage{185--187}
+    \subitem of a relation, \bold{110}
+  \item \isa {converse_iff} (theorem), \bold{110}
+  \item CTL, 119--124, 189--191
 
   \indexspace
 
-  \item \isacommand {datatype} (command), \hyperpage{9}, 
-		\hyperpage{38--43}
-  \item datatypes, \hyperpage{17--22}
-    \subitem and nested recursion, \hyperpage{40}, \hyperpage{44}
-    \subitem mutually recursive, \hyperpage{38}
-    \subitem nested, \hyperpage{174}
-  \item \isacommand {defer} (command), \hyperpage{16}, \hyperpage{94}
-  \item Definitional Approach, \hyperpage{26}
+  \item \isacommand {datatype} (command), 9, 38--43
+  \item datatypes, 17--22
+    \subitem and nested recursion, 40, 44
+    \subitem mutually recursive, 38
+    \subitem nested, 178
+  \item \isacommand {defer} (command), 16, 98
+  \item Definitional Approach, 26
   \item definitions, \bold{25}
     \subitem unfolding, \bold{30}
-  \item \isacommand {defs} (command), \hyperpage{25}
-  \item \isa {del} (modifier), \hyperpage{29}
-  \item description operators, \hyperpage{79--81}
+  \item \isacommand {defs} (command), 25
+  \item \isa {del} (modifier), 29
+  \item description operators, 83--85
   \item descriptions
-    \subitem definite, \hyperpage{79}
-    \subitem indefinite, \hyperpage{80}
-  \item \isa {dest} (attribute), \hyperpage{96}
-  \item destruction rules, \hyperpage{65}
-  \item \isa {diff_mult_distrib} (theorem), \bold{145}
+    \subitem definite, 83
+    \subitem indefinite, 84
+  \item \isa {dest} (attribute), 100
+  \item destruction rules, 69
+  \item \isa {diff_mult_distrib} (theorem), \bold{149}
   \item difference
-    \subitem of sets, \bold{100}
-  \item \isa {disjCI} (theorem), \bold{68}
-  \item \isa {disjE} (theorem), \bold{64}
-  \item \isa {div} (symbol), \hyperpage{23}
-  \item divides relation, \hyperpage{78}, \hyperpage{89}, 
-		\hyperpage{95--98}, \hyperpage{146}
+    \subitem of sets, \bold{104}
+  \item \isa {disjCI} (theorem), \bold{72}
+  \item \isa {disjE} (theorem), \bold{68}
+  \item \isa {div} (symbol), 23
+  \item divides relation, 82, 93, 99--102, 150
   \item division
-    \subitem by negative numbers, \hyperpage{147}
-    \subitem by zero, \hyperpage{146}
-    \subitem for type \protect\isa{nat}, \hyperpage{145}
+    \subitem by negative numbers, 151
+    \subitem by zero, 150
+    \subitem for type \protect\isa{nat}, 149
+  \item documents, \bold{57}
   \item domain
-    \subitem of a relation, \hyperpage{106}
-  \item \isa {Domain_iff} (theorem), \bold{106}
-  \item \isacommand {done} (command), \hyperpage{13}
-  \item \isa {drule_tac} (method), \hyperpage{70}, \hyperpage{90}
-  \item \isa {dvd_add} (theorem), \bold{146}
-  \item \isa {dvd_anti_sym} (theorem), \bold{146}
-  \item \isa {dvd_def} (theorem), \bold{146}
+    \subitem of a relation, 110
+  \item \isa {Domain_iff} (theorem), \bold{110}
+  \item \isacommand {done} (command), 13
+  \item \isa {drule_tac} (method), 74, 94
+  \item \isa {dvd_add} (theorem), \bold{150}
+  \item \isa {dvd_anti_sym} (theorem), \bold{150}
+  \item \isa {dvd_def} (theorem), \bold{150}
 
   \indexspace
 
-  \item \isa {elim!} (attribute), \hyperpage{125}
-  \item elimination rules, \hyperpage{63--64}
-  \item \isacommand {end} (command), \hyperpage{14}
-  \item \isa {Eps} (constant), \hyperpage{103}
-  \item equality, \hyperpage{5}
-    \subitem of functions, \bold{103}
-    \subitem of records, \hyperpage{155}
-    \subitem of sets, \bold{100}
-  \item \isa {equalityE} (theorem), \bold{100}
-  \item \isa {equalityI} (theorem), \bold{100}
-  \item \isa {erule} (method), \hyperpage{64}
-  \item \isa {erule_tac} (method), \hyperpage{70}
-  \item Euclid's algorithm, \hyperpage{95--98}
+  \item \isa {elim!} (attribute), 129
+  \item elimination rules, 67--68
+  \item \isacommand {end} (command), 14
+  \item \isa {Eps} (constant), 107
+  \item equality, 5
+    \subitem of functions, \bold{107}
+    \subitem of records, 159
+    \subitem of sets, \bold{104}
+  \item \isa {equalityE} (theorem), \bold{104}
+  \item \isa {equalityI} (theorem), \bold{104}
+  \item \isa {erule} (method), 68
+  \item \isa {erule_tac} (method), 74
+  \item Euclid's algorithm, 99--102
   \item even numbers
-    \subitem defining inductively, \hyperpage{121--125}
-  \item \texttt {EX}, \bold{203}
-  \item \isa {Ex} (constant), \hyperpage{103}
-  \item \isa {exE} (theorem), \bold{76}
-  \item \isa {exI} (theorem), \bold{76}
-  \item \isa {ext} (theorem), \bold{103}
-  \item \isa {extend} (constant), \hyperpage{157}
+    \subitem defining inductively, 125--129
+  \item \texttt {EX}, \bold{207}
+  \item \isa {Ex} (constant), 107
+  \item \isa {exE} (theorem), \bold{80}
+  \item \isa {exI} (theorem), \bold{80}
+  \item \isa {ext} (theorem), \bold{107}
+  \item \isa {extend} (constant), 161
   \item extensionality
-    \subitem for functions, \bold{103, 104}
-    \subitem for records, \hyperpage{155}
-    \subitem for sets, \bold{100}
-  \item \ttEXU, \bold{203}
+    \subitem for functions, \bold{107, 108}
+    \subitem for records, 159
+    \subitem for sets, \bold{104}
+  \item \ttEXU, \bold{207}
 
   \indexspace
 
-  \item \isa {False} (constant), \hyperpage{5}
-  \item \isa {fast} (method), \hyperpage{86}, \hyperpage{118}
-  \item Fibonacci function, \hyperpage{47}
-  \item \isa {fields} (constant), \hyperpage{157}
-  \item \isa {finite} (symbol), \hyperpage{103}
-  \item \isa {Finites} (constant), \hyperpage{103}
-  \item fixed points, \hyperpage{110}
-  \item flags, \hyperpage{5, 6}, \hyperpage{33}
-    \subitem setting and resetting, \hyperpage{5}
-  \item \isa {force} (method), \hyperpage{85, 86}
-  \item formulae, \hyperpage{5--6}
-  \item forward proof, \hyperpage{86--92}
-  \item \isa {frule} (method), \hyperpage{77}
-  \item \isa {frule_tac} (method), \hyperpage{70}
-  \item \isa {fst} (constant), \hyperpage{24}
-  \item function types, \hyperpage{5}
-  \item functions, \hyperpage{103--105}
-    \subitem partial, \hyperpage{176}
-    \subitem total, \hyperpage{11}, \hyperpage{46--52}
-    \subitem underdefined, \hyperpage{177}
+  \item \isa {False} (constant), 5
+  \item \isa {fast} (method), 90, 122
+  \item Fibonacci function, 47
+  \item \isa {fields} (constant), 161
+  \item \isa {finite} (symbol), 107
+  \item \isa {Finites} (constant), 107
+  \item fixed points, 114
+  \item flags, 5, 6, 33
+    \subitem setting and resetting, 5
+  \item \isa {force} (method), 89, 90
+  \item formal proof documents, \bold{57}
+  \item formulae, 5--6
+  \item forward proof, 90--96
+  \item \isa {frule} (method), 81
+  \item \isa {frule_tac} (method), 74
+  \item \isa {fst} (constant), 24
+  \item function types, 5
+  \item functions, 107--109
+    \subitem partial, 180
+    \subitem total, 11, 46--52
+    \subitem underdefined, 181
 
   \indexspace
 
-  \item \isa {gcd} (constant), \hyperpage{87--88}, \hyperpage{95--98}
-  \item generalizing for induction, \hyperpage{123}
-  \item generalizing induction formulae, \hyperpage{35}
-  \item Girard, Jean-Yves, \fnote{65}
-  \item Gordon, Mike, \hyperpage{3}
+  \item \isa {gcd} (constant), 91--92, 99--102
+  \item generalizing for induction, 127
+  \item generalizing induction formulae, 35
+  \item Girard, Jean-Yves, \fnote{69}
+  \item Gordon, Mike, 3
   \item grammars
-    \subitem defining inductively, \hyperpage{134--139}
-  \item ground terms example, \hyperpage{129--134}
+    \subitem defining inductively, 138--143
+  \item ground terms example, 133--138
 
   \indexspace
 
-  \item \isa {hd} (constant), \hyperpage{17}, \hyperpage{37}
-  \item Hilbert's $\varepsilon$-operator, \hyperpage{80}
-  \item HOLCF, \hyperpage{43}
-  \item Hopcroft, J. E., \hyperpage{139}
-  \item \isa {hypreal} (type), \hyperpage{149}
+  \item \isa {hd} (constant), 17, 37
+  \item \isacommand {header} (command), 59
+  \item Hilbert's $\varepsilon$-operator, 84
+  \item HOLCF, 43
+  \item Hopcroft, J. E., 143
+  \item \isa {hypreal} (type), 153
 
   \indexspace
 
-  \item \isa {Id_def} (theorem), \bold{106}
-  \item \isa {id_def} (theorem), \bold{104}
+  \item \isa {Id_def} (theorem), \bold{110}
+  \item \isa {id_def} (theorem), \bold{108}
   \item identifiers, \bold{6}
     \subitem qualified, \bold{4}
-  \item identity function, \bold{104}
-  \item identity relation, \bold{106}
-  \item \isa {if} expressions, \hyperpage{5, 6}
-    \subitem simplification of, \hyperpage{33}
-    \subitem splitting of, \hyperpage{31}, \hyperpage{49}
-  \item if-and-only-if, \hyperpage{6}
-  \item \isa {iff} (attribute), \hyperpage{84}, \hyperpage{96}, 
-		\hyperpage{124}
-  \item \isa {iffD1} (theorem), \bold{88}
-  \item \isa {iffD2} (theorem), \bold{88}
+  \item identity function, \bold{108}
+  \item identity relation, \bold{110}
+  \item \isa {if} expressions, 5, 6
+    \subitem simplification of, 33
+    \subitem splitting of, 31, 49
+  \item if-and-only-if, 6
+  \item \isa {iff} (attribute), 88, 100, 128
+  \item \isa {iffD1} (theorem), \bold{92}
+  \item \isa {iffD2} (theorem), \bold{92}
   \item image
-    \subitem under a function, \bold{105}
-    \subitem under a relation, \bold{106}
-  \item \isa {image_def} (theorem), \bold{105}
-  \item \isa {Image_iff} (theorem), \bold{106}
-  \item \isa {impI} (theorem), \bold{66}
-  \item implication, \hyperpage{66--67}
-  \item \isa {ind_cases} (method), \hyperpage{125}
-  \item \isa {induct_tac} (method), \hyperpage{12}, \hyperpage{19}, 
-		\hyperpage{52}, \hyperpage{184}
-  \item induction, \hyperpage{180--187}
-    \subitem complete, \hyperpage{182}
-    \subitem deriving new schemas, \hyperpage{184}
-    \subitem on a term, \hyperpage{181}
-    \subitem recursion, \hyperpage{51--52}
-    \subitem structural, \hyperpage{19}
-    \subitem well-founded, \hyperpage{109}
-  \item induction heuristics, \hyperpage{34--36}
-  \item \isacommand {inductive} (command), \hyperpage{121}
+    \subitem under a function, \bold{109}
+    \subitem under a relation, \bold{110}
+  \item \isa {image_def} (theorem), \bold{109}
+  \item \isa {Image_iff} (theorem), \bold{110}
+  \item \isa {impI} (theorem), \bold{70}
+  \item implication, 70--71
+  \item \isa {ind_cases} (method), 129
+  \item \isa {induct_tac} (method), 12, 19, 52, 188
+  \item induction, 184--191
+    \subitem complete, 186
+    \subitem deriving new schemas, 188
+    \subitem on a term, 185
+    \subitem recursion, 51--52
+    \subitem structural, 19
+    \subitem well-founded, 113
+  \item induction heuristics, 34--36
+  \item \isacommand {inductive} (command), 125
   \item inductive definition
-    \subitem simultaneous, \hyperpage{135}
-  \item inductive definitions, \hyperpage{121--139}
-  \item \isacommand {inductive\_cases} (command), \hyperpage{125}, 
-		\hyperpage{133}
-  \item infinitely branching trees, \hyperpage{43}
-  \item infix annotations, \bold{54}
-  \item \isacommand{infixr} (annotation), \hyperpage{10}
-  \item \isa {inj_on_def} (theorem), \bold{104}
-  \item injections, \hyperpage{104}
-  \item \isa {insert} (constant), \hyperpage{101}
-  \item \isa {insert} (method), \hyperpage{91--92}
-  \item instance, \bold{160}
-  \item \texttt {INT}, \bold{203}
-  \item \texttt {Int}, \bold{203}
-  \item \isa {int} (type), \hyperpage{147--148}
-  \item \isa {INT_iff} (theorem), \bold{102}
-  \item \isa {IntD1} (theorem), \bold{99}
-  \item \isa {IntD2} (theorem), \bold{99}
-  \item integers, \hyperpage{147--148}
-  \item \isa {INTER} (constant), \hyperpage{103}
-  \item \texttt {Inter}, \bold{203}
-  \item \isa {Inter_iff} (theorem), \bold{102}
-  \item intersection, \hyperpage{99}
-    \subitem indexed, \hyperpage{102}
-  \item \isa {IntI} (theorem), \bold{99}
-  \item \isa {intro} (method), \hyperpage{68}
-  \item \isa {intro!} (attribute), \hyperpage{122}
-  \item \isa {intro_classes} (method), \hyperpage{160}
-  \item introduction rules, \hyperpage{62--63}
-  \item \isa {inv} (constant), \hyperpage{80}
-  \item \isa {inv_image_def} (theorem), \bold{109}
+    \subitem simultaneous, 139
+  \item inductive definitions, 125--143
+  \item \isacommand {inductive\_cases} (command), 129, 137
+  \item infinitely branching trees, 43
+  \item infix annotations, 54
+  \item \isacommand{infixr} (annotation), 10
+  \item \isa {inj_on_def} (theorem), \bold{108}
+  \item injections, 108
+  \item \isa {insert} (constant), 105
+  \item \isa {insert} (method), 95--96
+  \item instance, \bold{164}
+  \item \texttt {INT}, \bold{207}
+  \item \texttt {Int}, \bold{207}
+  \item \isa {int} (type), 151--152
+  \item \isa {INT_iff} (theorem), \bold{106}
+  \item \isa {IntD1} (theorem), \bold{103}
+  \item \isa {IntD2} (theorem), \bold{103}
+  \item integers, 151--152
+  \item \isa {INTER} (constant), 107
+  \item \texttt {Inter}, \bold{207}
+  \item \isa {Inter_iff} (theorem), \bold{106}
+  \item intersection, 103
+    \subitem indexed, 106
+  \item \isa {IntI} (theorem), \bold{103}
+  \item \isa {intro} (method), 72
+  \item \isa {intro!} (attribute), 126
+  \item \isa {intro_classes} (method), 164
+  \item introduction rules, 66--67
+  \item \isa {inv} (constant), 84
+  \item \isa {inv_image_def} (theorem), \bold{113}
   \item inverse
-    \subitem of a function, \bold{104}
-    \subitem of a relation, \bold{106}
+    \subitem of a function, \bold{108}
+    \subitem of a relation, \bold{110}
   \item inverse image
-    \subitem of a function, \hyperpage{105}
-    \subitem of a relation, \hyperpage{108}
-  \item \isa {itrev} (constant), \hyperpage{34}
+    \subitem of a function, 109
+    \subitem of a relation, 112
+  \item \isa {itrev} (constant), 34
 
   \indexspace
 
-  \item \isacommand {kill} (command), \hyperpage{16}
+  \item \isacommand {kill} (command), 16
 
   \indexspace
 
-  \item $\lambda$ expressions, \hyperpage{5}
-  \item LCF, \hyperpage{43}
-  \item \isa {LEAST} (symbol), \hyperpage{23}, \hyperpage{79}
-  \item least number operator, \see{\protect\isa{LEAST}}{79}
-  \item Leibniz, Gottfried Wilhelm, \hyperpage{53}
-  \item \isacommand {lemma} (command), \hyperpage{13}
-  \item \isacommand {lemmas} (command), \hyperpage{87}, \hyperpage{96}
-  \item \isa {length} (symbol), \hyperpage{18}
-  \item \isa {length_induct}, \bold{184}
-  \item \isa {less_than} (constant), \hyperpage{108}
-  \item \isa {less_than_iff} (theorem), \bold{108}
-  \item \isa {let} expressions, \hyperpage{5, 6}, \hyperpage{31}
-  \item \isa {Let_def} (theorem), \hyperpage{31}
-  \item \isa {lex_prod_def} (theorem), \bold{109}
-  \item lexicographic product, \bold{109}, \hyperpage{172}
+  \item $\lambda$ expressions, 5
+  \item LCF, 43
+  \item \isa {LEAST} (symbol), 23, 83
+  \item least number operator, \see{\protect\isa{LEAST}}{83}
+  \item Leibniz, Gottfried Wilhelm, 53
+  \item \isacommand {lemma} (command), 13
+  \item \isacommand {lemmas} (command), 91, 100
+  \item \isa {length} (symbol), 18
+  \item \isa {length_induct}, \bold{188}
+  \item \isa {less_than} (constant), 112
+  \item \isa {less_than_iff} (theorem), \bold{112}
+  \item \isa {let} expressions, 5, 6, 31
+  \item \isa {Let_def} (theorem), 31
+  \item \isa {lex_prod_def} (theorem), \bold{113}
+  \item lexicographic product, \bold{113}, 176
   \item {\texttt{lfp}}
-    \subitem applications of, \see{CTL}{110}
-  \item Library, \hyperpage{4}
-  \item linear arithmetic, \hyperpage{22--24}, \hyperpage{143}
-  \item \isa {List} (theory), \hyperpage{17}
-  \item \isa {list} (type), \hyperpage{5}, \hyperpage{9}, 
-		\hyperpage{17}
-  \item \isa {list.split} (theorem), \hyperpage{32}
-  \item \isa {lists_mono} (theorem), \bold{131}
-  \item Lowe, Gavin, \hyperpage{190--191}
+    \subitem applications of, \see{CTL}{114}
+  \item Library, 4
+  \item linear arithmetic, 22--24, 147
+  \item \isa {List} (theory), 17
+  \item \isa {list} (type), 5, 9, 17
+  \item \isa {list.split} (theorem), 32
+  \item \isa {lists_mono} (theorem), \bold{135}
+  \item Lowe, Gavin, 194--195
 
   \indexspace
 
-  \item \isa {Main} (theory), \hyperpage{4}
-  \item major premise, \bold{69}
-  \item \isa {make} (constant), \hyperpage{157}
-  \item \isa {max} (constant), \hyperpage{23, 24}
-  \item measure functions, \hyperpage{47}, \hyperpage{108}
-  \item \isa {measure_def} (theorem), \bold{109}
-  \item meta-logic, \bold{74}
+  \item \isa {Main} (theory), 4
+  \item major premise, \bold{73}
+  \item \isa {make} (constant), 161
+  \item markup commands, \bold{59}
+  \item \isa {max} (constant), 23, 24
+  \item measure functions, 47, 112
+  \item \isa {measure_def} (theorem), \bold{113}
+  \item meta-logic, \bold{78}
   \item methods, \bold{16}
-  \item \isa {min} (constant), \hyperpage{23, 24}
+  \item \isa {min} (constant), 23, 24
   \item mixfix annotations, \bold{53}
-  \item \isa {mod} (symbol), \hyperpage{23}
-  \item \isa {mod_div_equality} (theorem), \bold{145}
-  \item \isa {mod_mult_distrib} (theorem), \bold{145}
-  \item model checking example, \hyperpage{110--120}
-  \item \emph{modus ponens}, \hyperpage{61}, \hyperpage{66}
-  \item \isa {mono_def} (theorem), \bold{110}
-  \item monotone functions, \bold{110}, \hyperpage{133}
-    \subitem and inductive definitions, \hyperpage{131--132}
-  \item \isa {more} (constant), \hyperpage{152}, \hyperpage{154}
-  \item \isa {mp} (theorem), \bold{66}
-  \item \isa {mult_ac} (theorems), \hyperpage{146}
-  \item multiple inheritance, \bold{163}
-  \item multiset ordering, \bold{109}
+  \item \isa {mod} (symbol), 23
+  \item \isa {mod_div_equality} (theorem), \bold{149}
+  \item \isa {mod_mult_distrib} (theorem), \bold{149}
+  \item model checking example, 114--124
+  \item \emph{modus ponens}, 65, 70
+  \item \isa {mono_def} (theorem), \bold{114}
+  \item monotone functions, \bold{114}, 137
+    \subitem and inductive definitions, 135--136
+  \item \isa {more} (constant), 156, 158
+  \item \isa {mp} (theorem), \bold{70}
+  \item \isa {mult_ac} (theorems), 150
+  \item multiple inheritance, \bold{167}
+  \item multiset ordering, \bold{113}
 
   \indexspace
 
-  \item \isa {nat} (type), \hyperpage{4}, \hyperpage{22}, 
-		\hyperpage{145--147}
-  \item \isa {nat_less_induct} (theorem), \hyperpage{182}
-  \item natural deduction, \hyperpage{61--62}
-  \item natural numbers, \hyperpage{22}, \hyperpage{145--147}
-  \item Needham-Schroeder protocol, \hyperpage{189--191}
-  \item negation, \hyperpage{67--69}
-  \item \isa {Nil} (constant), \hyperpage{9}
-  \item \isa {no_asm} (modifier), \hyperpage{29}
-  \item \isa {no_asm_simp} (modifier), \hyperpage{30}
-  \item \isa {no_asm_use} (modifier), \hyperpage{30}
-  \item non-standard reals, \hyperpage{149}
+  \item \isa {nat} (type), 4, 22, 149--151
+  \item \isa {nat_less_induct} (theorem), 186
+  \item natural deduction, 65--66
+  \item natural numbers, 22, 149--151
+  \item Needham-Schroeder protocol, 193--195
+  \item negation, 71--73
+  \item \isa {Nil} (constant), 9
+  \item \isa {no_asm} (modifier), 29
+  \item \isa {no_asm_simp} (modifier), 30
+  \item \isa {no_asm_use} (modifier), 30
+  \item non-standard reals, 153
   \item \isa {None} (constant), \bold{24}
-  \item \isa {notE} (theorem), \bold{67}
-  \item \isa {notI} (theorem), \bold{67}
-  \item numbers, \hyperpage{143--149}
-  \item numeric literals, \hyperpage{144}
-    \subitem for type \protect\isa{nat}, \hyperpage{145}
-    \subitem for type \protect\isa{real}, \hyperpage{149}
+  \item \isa {notE} (theorem), \bold{71}
+  \item \isa {notI} (theorem), \bold{71}
+  \item numbers, 147--153
+  \item numeric literals, 148
+    \subitem for type \protect\isa{nat}, 149
+    \subitem for type \protect\isa{real}, 153
 
   \indexspace
 
-  \item \isa {O} (symbol), \hyperpage{106}
-  \item \texttt {o}, \bold{203}
-  \item \isa {o_def} (theorem), \bold{104}
-  \item \isa {OF} (attribute), \hyperpage{89--90}
-  \item \isa {of} (attribute), \hyperpage{87}, \hyperpage{90}
-  \item \isa {only} (modifier), \hyperpage{29}
-  \item \isacommand {oops} (command), \hyperpage{13}
+  \item \isa {O} (symbol), 110
+  \item \texttt {o}, \bold{207}
+  \item \isa {o_def} (theorem), \bold{108}
+  \item \isa {OF} (attribute), 93--94
+  \item \isa {of} (attribute), 91, 94
+  \item \isa {only} (modifier), 29
+  \item \isacommand {oops} (command), 13
   \item \isa {option} (type), \bold{24}
-  \item ordered rewriting, \bold{170}
-  \item overloading, \hyperpage{23}, \hyperpage{159--161}
-    \subitem and arithmetic, \hyperpage{144}
+  \item ordered rewriting, \bold{174}
+  \item overloading, 23, 163--165
+    \subitem and arithmetic, 148
 
   \indexspace
 
-  \item pairs and tuples, \hyperpage{24}, \hyperpage{149--152}
+  \item pairs and tuples, 24, 153--156
   \item parent theories, \bold{4}
   \item pattern matching
-    \subitem and \isacommand{recdef}, \hyperpage{47}
+    \subitem and \isacommand{recdef}, 47
   \item patterns
-    \subitem higher-order, \bold{171}
-  \item PDL, \hyperpage{112--114}
-  \item \isacommand {pr} (command), \hyperpage{16}, \hyperpage{94}
-  \item \isacommand {prefer} (command), \hyperpage{16}, \hyperpage{94}
-  \item prefix annotation, \bold{56}
+    \subitem higher-order, \bold{175}
+  \item PDL, 116--118
+  \item \isacommand {pr} (command), 16, 98
+  \item \isacommand {prefer} (command), 16, 98
+  \item prefix annotation, 56
   \item primitive recursion, \see{recursion, primitive}{1}
-  \item \isacommand {primrec} (command), \hyperpage{10}, \hyperpage{18}, 
-		\hyperpage{38--43}
-  \item print mode, \hyperpage{55}
-  \item \isacommand {print\_syntax} (command), \hyperpage{54}
+  \item \isacommand {primrec} (command), 10, 18, 38--43
+  \item print mode, \bold{55}
+  \item \isacommand {print\_syntax} (command), 54
   \item product type, \see{pairs and tuples}{1}
   \item Proof General, \bold{7}
-  \item proof state, \hyperpage{12}
+  \item proof state, 12
   \item proofs
     \subitem abandoning, \bold{13}
-    \subitem examples of failing, \hyperpage{81--83}
+    \subitem examples of failing, 85--87
   \item protocols
-    \subitem security, \hyperpage{189--199}
+    \subitem security, 193--203
 
   \indexspace
 
-  \item quantifiers, \hyperpage{6}
-    \subitem and inductive definitions, \hyperpage{129--131}
-    \subitem existential, \hyperpage{76}
-    \subitem for sets, \hyperpage{102}
-    \subitem instantiating, \hyperpage{78}
-    \subitem universal, \hyperpage{73--76}
+  \item quantifiers, 6
+    \subitem and inductive definitions, 133--135
+    \subitem existential, 80
+    \subitem for sets, 106
+    \subitem instantiating, 82
+    \subitem universal, 77--80
 
   \indexspace
 
-  \item \isa {r_into_rtrancl} (theorem), \bold{106}
-  \item \isa {r_into_trancl} (theorem), \bold{107}
+  \item \isa {r_into_rtrancl} (theorem), \bold{110}
+  \item \isa {r_into_trancl} (theorem), \bold{111}
   \item range
-    \subitem of a function, \hyperpage{105}
-    \subitem of a relation, \hyperpage{106}
-  \item \isa {range} (symbol), \hyperpage{105}
-  \item \isa {Range_iff} (theorem), \bold{106}
-  \item \isa {Real} (theory), \hyperpage{149}
-  \item \isa {real} (type), \hyperpage{148--149}
-  \item real numbers, \hyperpage{148--149}
-  \item \isacommand {recdef} (command), \hyperpage{46--52}, 
-		\hyperpage{108}, \hyperpage{172--180}
-    \subitem and numeric literals, \hyperpage{144}
-  \item \isa {recdef_cong} (attribute), \hyperpage{176}
-  \item \isa {recdef_simp} (attribute), \hyperpage{49}
-  \item \isa {recdef_wf} (attribute), \hyperpage{174}
-  \item \isacommand {record} (command), \hyperpage{153}
-  \item records, \hyperpage{152--158}
-    \subitem extensible, \hyperpage{154--155}
+    \subitem of a function, 109
+    \subitem of a relation, 110
+  \item \isa {range} (symbol), 109
+  \item \isa {Range_iff} (theorem), \bold{110}
+  \item \isa {Real} (theory), 153
+  \item \isa {real} (type), 152--153
+  \item real numbers, 152--153
+  \item \isacommand {recdef} (command), 46--52, 112, 176--184
+    \subitem and numeric literals, 148
+  \item \isa {recdef_cong} (attribute), 180
+  \item \isa {recdef_simp} (attribute), 49
+  \item \isa {recdef_wf} (attribute), 178
+  \item \isacommand {record} (command), 157
+  \item records, 156--162
+    \subitem extensible, 158--159
   \item recursion
-    \subitem guarded, \hyperpage{177}
-    \subitem primitive, \hyperpage{18}
-    \subitem well-founded, \bold{173}
-  \item recursion induction, \hyperpage{51--52}
-  \item \isacommand {redo} (command), \hyperpage{16}
-  \item reflexive and transitive closure, \hyperpage{106--108}
+    \subitem guarded, 181
+    \subitem primitive, 18
+    \subitem well-founded, \bold{177}
+  \item recursion induction, 51--52
+  \item \isacommand {redo} (command), 16
+  \item reflexive and transitive closure, 110--112
   \item reflexive transitive closure
-    \subitem defining inductively, \hyperpage{126--129}
-  \item \isa {rel_comp_def} (theorem), \bold{106}
-  \item relations, \hyperpage{105--108}
-    \subitem well-founded, \hyperpage{108--109}
-  \item \isa {rename_tac} (method), \hyperpage{76--77}
-  \item \isa {rev} (constant), \hyperpage{10--14}, \hyperpage{34}
+    \subitem defining inductively, 130--133
+  \item \isa {rel_comp_def} (theorem), \bold{110}
+  \item relations, 109--112
+    \subitem well-founded, 112--113
+  \item \isa {rename_tac} (method), 80--81
+  \item \isa {rev} (constant), 10--14, 34
   \item rewrite rules, \bold{27}
-    \subitem permutative, \bold{170}
+    \subitem permutative, \bold{174}
   \item rewriting, \bold{27}
-  \item \isa {rotate_tac} (method), \hyperpage{30}
-  \item \isa {rtrancl_refl} (theorem), \bold{106}
-  \item \isa {rtrancl_trans} (theorem), \bold{106}
-  \item rule induction, \hyperpage{122--124}
-  \item rule inversion, \hyperpage{124--125}, \hyperpage{133--134}
-  \item \isa {rule_format} (attribute), \hyperpage{181}
-  \item \isa {rule_tac} (method), \hyperpage{70}
-    \subitem and renaming, \hyperpage{77}
+  \item \isa {rotate_tac} (method), 30
+  \item \isa {rtrancl_refl} (theorem), \bold{110}
+  \item \isa {rtrancl_trans} (theorem), \bold{110}
+  \item rule induction, 126--128
+  \item rule inversion, 128--129, 137--138
+  \item \isa {rule_format} (attribute), 185
+  \item \isa {rule_tac} (method), 74
+    \subitem and renaming, 81
 
   \indexspace
 
-  \item \isa {safe} (method), \hyperpage{85, 86}
-  \item safe rules, \bold{84}
+  \item \isa {safe} (method), 89, 90
+  \item safe rules, \bold{88}
+  \item \isacommand {sect} (command), 59
+  \item \isacommand {section} (command), 59
   \item selector
-    \subitem record, \hyperpage{153}
-  \item \isa {set} (type), \hyperpage{5}, \hyperpage{99}
-  \item set comprehensions, \hyperpage{101--102}
-  \item \isa {set_ext} (theorem), \bold{100}
-  \item sets, \hyperpage{99--103}
-    \subitem finite, \hyperpage{103}
-    \subitem notation for finite, \bold{101}
+    \subitem record, 157
+  \item session, \bold{58}
+  \item \isa {set} (type), 5, 103
+  \item set comprehensions, 105--106
+  \item \isa {set_ext} (theorem), \bold{104}
+  \item sets, 103--107
+    \subitem finite, 107
+    \subitem notation for finite, \bold{105}
   \item settings, \see{flags}{1}
-  \item \isa {show_brackets} (flag), \hyperpage{6}
-  \item \isa {show_types} (flag), \hyperpage{5}, \hyperpage{16}
-  \item \isa {simp} (attribute), \hyperpage{11}, \hyperpage{28}
+  \item \isa {show_brackets} (flag), 6
+  \item \isa {show_types} (flag), 5, 16
+  \item \isa {simp} (attribute), 11, 28
   \item \isa {simp} (method), \bold{28}
-  \item \isa {simp} del (attribute), \hyperpage{28}
-  \item \isa {simp_all} (method), \hyperpage{29}, \hyperpage{38}
-  \item simplification, \hyperpage{27--33}, \hyperpage{169--172}
-    \subitem of \isa{let}-expressions, \hyperpage{31}
-    \subitem with definitions, \hyperpage{30}
-    \subitem with/of assumptions, \hyperpage{29}
-  \item simplification rule, \hyperpage{171--172}
-  \item simplification rules, \hyperpage{28}
-    \subitem adding and deleting, \hyperpage{29}
-  \item \isa {simplified} (attribute), \hyperpage{87}, \hyperpage{90}
-  \item \isa {size} (constant), \hyperpage{17}
-  \item \isa {snd} (constant), \hyperpage{24}
-  \item \isa {SOME} (symbol), \hyperpage{80}
-  \item \texttt {SOME}, \bold{203}
+  \item \isa {simp} del (attribute), 28
+  \item \isa {simp_all} (method), 29, 38
+  \item simplification, 27--33, 173--176
+    \subitem of \isa{let}-expressions, 31
+    \subitem with definitions, 30
+    \subitem with/of assumptions, 29
+  \item simplification rule, 175--176
+  \item simplification rules, 28
+    \subitem adding and deleting, 29
+  \item \isa {simplified} (attribute), 91, 94
+  \item \isa {size} (constant), 17
+  \item \isa {snd} (constant), 24
+  \item \isa {SOME} (symbol), 84
+  \item \texttt {SOME}, \bold{207}
   \item \isa {Some} (constant), \bold{24}
-  \item \isa {some_equality} (theorem), \bold{80}
-  \item \isa {someI} (theorem), \bold{80}
-  \item \isa {someI2} (theorem), \bold{80}
-  \item \isa {someI_ex} (theorem), \bold{81}
-  \item sorts, \hyperpage{164}
-  \item \isa {spec} (theorem), \bold{74}
-  \item \isa {split} (attribute), \hyperpage{32}
-  \item \isa {split} (constant), \hyperpage{150}
-  \item \isa {split} (method), \hyperpage{31}, \hyperpage{150}
-  \item \isa {split} (modifier), \hyperpage{32}
+  \item \isa {some_equality} (theorem), \bold{84}
+  \item \isa {someI} (theorem), \bold{84}
+  \item \isa {someI2} (theorem), \bold{84}
+  \item \isa {someI_ex} (theorem), \bold{85}
+  \item sorts, 168
+  \item \isa {spec} (theorem), \bold{78}
+  \item \isa {split} (attribute), 32
+  \item \isa {split} (constant), 154
+  \item \isa {split} (method), 31, 154
+  \item \isa {split} (modifier), 32
   \item split rule, \bold{32}
-  \item \isa {split_if} (theorem), \hyperpage{32}
-  \item \isa {split_if_asm} (theorem), \hyperpage{32}
-  \item \isa {ssubst} (theorem), \bold{71}
+  \item \isa {split_if} (theorem), 32
+  \item \isa {split_if_asm} (theorem), 32
+  \item \isa {ssubst} (theorem), \bold{75}
   \item structural induction, \see{induction, structural}{1}
-  \item subclasses, \hyperpage{158}, \hyperpage{163}
-  \item subgoal numbering, \hyperpage{46}
-  \item \isa {subgoal_tac} (method), \hyperpage{92}
-  \item subgoals, \hyperpage{12}
-  \item subset relation, \bold{100}
-  \item \isa {subsetD} (theorem), \bold{100}
-  \item \isa {subsetI} (theorem), \bold{100}
-  \item \isa {subst} (method), \hyperpage{71}
-  \item substitution, \hyperpage{71--73}
-  \item \isa {Suc} (constant), \hyperpage{22}
-  \item \isa {surj_def} (theorem), \bold{104}
-  \item surjections, \hyperpage{104}
-  \item \isa {sym} (theorem), \bold{88}
+  \item subclasses, 162, 167
+  \item subgoal numbering, 46
+  \item \isa {subgoal_tac} (method), 96
+  \item subgoals, 12
+  \item \isacommand {subsect} (command), 59
+  \item \isacommand {subsection} (command), 59
+  \item subset relation, \bold{104}
+  \item \isa {subsetD} (theorem), \bold{104}
+  \item \isa {subsetI} (theorem), \bold{104}
+  \item \isa {subst} (method), 75
+  \item substitution, 75--77
+  \item \isacommand {subsubsect} (command), 59
+  \item \isacommand {subsubsection} (command), 59
+  \item \isa {Suc} (constant), 22
+  \item \isa {surj_def} (theorem), \bold{108}
+  \item surjections, 108
+  \item \isa {sym} (theorem), \bold{92}
   \item symbols, \bold{55}
-  \item syntax, \hyperpage{6}, \hyperpage{11}
-  \item \isacommand {syntax} (command), \hyperpage{56}
-  \item syntax translations, \hyperpage{57}
+  \item syntax, 6, 11
+  \item \isacommand {syntax} (command), 56
+  \item syntax translations, 57
 
   \indexspace
 
-  \item tacticals, \hyperpage{93}
-  \item tactics, \hyperpage{12}
-  \item \isacommand {term} (command), \hyperpage{16}
+  \item tacticals, 97
+  \item tactics, 12
+  \item \isacommand {term} (command), 16
   \item term rewriting, \bold{27}
   \item termination, \see{functions, total}{1}
-  \item terms, \hyperpage{5}
-  \item \isa {THE} (symbol), \hyperpage{79}
-  \item \isa {the_equality} (theorem), \bold{79}
-  \item \isa {THEN} (attribute), \bold{88}, \hyperpage{90}, 
-		\hyperpage{96}
-  \item \isacommand {theorem} (command), \bold{11}, \hyperpage{13}
-  \item theories, \hyperpage{4}
+  \item terms, 5
+  \item \isa {THE} (symbol), 83
+  \item \isa {the_equality} (theorem), \bold{83}
+  \item \isa {THEN} (attribute), \bold{92}, 94, 100
+  \item \isacommand {theorem} (command), \bold{11}, 13
+  \item theories, 4
     \subitem abandoning, \bold{16}
-  \item \isacommand {theory} (command), \hyperpage{16}
-  \item theory files, \hyperpage{4}
-  \item \isacommand {thm} (command), \hyperpage{16}
-  \item \isa {tl} (constant), \hyperpage{17}
-  \item \isa {ToyList} example, \hyperpage{9--14}
-  \item \isa {trace_simp} (flag), \hyperpage{33}
+  \item \isacommand {theory} (command), 16
+  \item theory files, 4
+  \item \isacommand {thm} (command), 16
+  \item \isa {tl} (constant), 17
+  \item \isa {ToyList} example, 9--14
+  \item \isa {trace_simp} (flag), 33
   \item tracing the simplifier, \bold{33}
-  \item \isa {trancl_trans} (theorem), \bold{107}
-  \item transition systems, \hyperpage{111}
-  \item \isacommand {translations} (command), \hyperpage{57}
-  \item tries, \hyperpage{44--46}
-  \item \isa {True} (constant), \hyperpage{5}
-  \item \isa {truncate} (constant), \hyperpage{157}
+  \item \isa {trancl_trans} (theorem), \bold{111}
+  \item transition systems, 115
+  \item \isacommand {translations} (command), 57
+  \item tries, 44--46
+  \item \isa {True} (constant), 5
+  \item \isa {truncate} (constant), 161
   \item tuples, \see{pairs and tuples}{1}
-  \item \isacommand {typ} (command), \hyperpage{16}
+  \item \isacommand {typ} (command), 16
   \item type constraints, \bold{6}
-  \item type constructors, \hyperpage{5}
+  \item type constructors, 5
   \item type inference, \bold{5}
-  \item type synonyms, \hyperpage{25}
-  \item type variables, \hyperpage{5}
-  \item \isacommand {typedecl} (command), \hyperpage{111}, 
-		\hyperpage{165}
-  \item \isacommand {typedef} (command), \hyperpage{165--168}
-  \item types, \hyperpage{4--5}
-    \subitem declaring, \hyperpage{165}
-    \subitem defining, \hyperpage{165--168}
-  \item \isacommand {types} (command), \hyperpage{25}
+  \item type synonyms, 25
+  \item type variables, 5
+  \item \isacommand {typedecl} (command), 115, 169
+  \item \isacommand {typedef} (command), 169--172
+  \item types, 4--5
+    \subitem declaring, 169
+    \subitem defining, 169--172
+  \item \isacommand {types} (command), 25
 
   \indexspace
 
-  \item Ullman, J. D., \hyperpage{139}
-  \item \texttt {UN}, \bold{203}
-  \item \texttt {Un}, \bold{203}
-  \item \isa {UN_E} (theorem), \bold{102}
-  \item \isa {UN_I} (theorem), \bold{102}
-  \item \isa {UN_iff} (theorem), \bold{102}
-  \item \isa {Un_subset_iff} (theorem), \bold{100}
-  \item \isacommand {undo} (command), \hyperpage{16}
+  \item Ullman, J. D., 143
+  \item \texttt {UN}, \bold{207}
+  \item \texttt {Un}, \bold{207}
+  \item \isa {UN_E} (theorem), \bold{106}
+  \item \isa {UN_I} (theorem), \bold{106}
+  \item \isa {UN_iff} (theorem), \bold{106}
+  \item \isa {Un_subset_iff} (theorem), \bold{104}
+  \item \isacommand {undo} (command), 16
   \item \isa {unfold} (method), \bold{31}
-  \item Unicode, \hyperpage{55}
-  \item unification, \hyperpage{70--73}
-  \item \isa {UNION} (constant), \hyperpage{103}
-  \item \texttt {Union}, \bold{203}
+  \item Unicode, 55
+  \item unification, 74--77
+  \item \isa {UNION} (constant), 107
+  \item \texttt {Union}, \bold{207}
   \item union
-    \subitem indexed, \hyperpage{102}
-  \item \isa {Union_iff} (theorem), \bold{102}
-  \item \isa {unit} (type), \hyperpage{24}
-  \item unknowns, \hyperpage{7}, \bold{62}
-  \item unsafe rules, \bold{84}
+    \subitem indexed, 106
+  \item \isa {Union_iff} (theorem), \bold{106}
+  \item \isa {unit} (type), 24
+  \item unknowns, 7, \bold{66}
+  \item unsafe rules, \bold{88}
   \item update
-    \subitem record, \hyperpage{153}
-  \item updating a function, \bold{103}
+    \subitem record, 157
+  \item updating a function, \bold{107}
 
   \indexspace
 
-  \item variables, \hyperpage{7}
-    \subitem schematic, \hyperpage{7}
-    \subitem type, \hyperpage{5}
-  \item \isa {vimage_def} (theorem), \bold{105}
+  \item variables, 7
+    \subitem schematic, 7
+    \subitem type, 5
+  \item \isa {vimage_def} (theorem), \bold{109}
 
   \indexspace
 
-  \item Wenzel, Markus, \hyperpage{vii}
-  \item \isa {wf_induct} (theorem), \bold{109}
-  \item \isa {wf_inv_image} (theorem), \bold{109}
-  \item \isa {wf_less_than} (theorem), \bold{108}
-  \item \isa {wf_lex_prod} (theorem), \bold{109}
-  \item \isa {wf_measure} (theorem), \bold{109}
-  \item \isa {wf_subset} (theorem), \hyperpage{174}
-  \item \isa {while} (constant), \hyperpage{179}
-  \item \isa {While_Combinator} (theory), \hyperpage{179}
-  \item \isa {while_rule} (theorem), \hyperpage{179}
+  \item Wenzel, Markus, vii
+  \item \isa {wf_induct} (theorem), \bold{113}
+  \item \isa {wf_inv_image} (theorem), \bold{113}
+  \item \isa {wf_less_than} (theorem), \bold{112}
+  \item \isa {wf_lex_prod} (theorem), \bold{113}
+  \item \isa {wf_measure} (theorem), \bold{113}
+  \item \isa {wf_subset} (theorem), 178
+  \item \isa {while} (constant), 183
+  \item \isa {While_Combinator} (theory), 183
+  \item \isa {while_rule} (theorem), 183
 
   \indexspace
 
-  \item \isa {zadd_ac} (theorems), \hyperpage{147}
-  \item \isa {zmult_ac} (theorems), \hyperpage{147}
+  \item \isa {zadd_ac} (theorems), 151
+  \item \isa {zmult_ac} (theorems), 151
 
 \end{theindex}