doc-src/IsarRef/Thy/document/Quick_Reference.tex
author wenzelm
Fri Oct 29 11:49:56 2010 +0200 (2010-10-29)
changeset 40255 9ffbc25e1606
parent 30242 aea5d7fa7ef5
child 40406 313a24b66a8d
permissions -rw-r--r--
eliminated obsolete \_ escapes in rail environments;
     1 %
     2 \begin{isabellebody}%
     3 \def\isabellecontext{Quick{\isacharunderscore}Reference}%
     4 %
     5 \isadelimtheory
     6 %
     7 \endisadelimtheory
     8 %
     9 \isatagtheory
    10 \isacommand{theory}\isamarkupfalse%
    11 \ Quick{\isacharunderscore}Reference\isanewline
    12 \isakeyword{imports}\ Main\isanewline
    13 \isakeyword{begin}%
    14 \endisatagtheory
    15 {\isafoldtheory}%
    16 %
    17 \isadelimtheory
    18 %
    19 \endisadelimtheory
    20 %
    21 \isamarkupchapter{Isabelle/Isar quick reference \label{ap:refcard}%
    22 }
    23 \isamarkuptrue%
    24 %
    25 \isamarkupsection{Proof commands%
    26 }
    27 \isamarkuptrue%
    28 %
    29 \isamarkupsubsection{Primitives and basic syntax%
    30 }
    31 \isamarkuptrue%
    32 %
    33 \begin{isamarkuptext}%
    34 \begin{tabular}{ll}
    35     \hyperlink{command.fix}{\mbox{\isa{\isacommand{fix}}}}~\isa{x} & augment context by \isa{{\isachardoublequote}{\isasymAnd}x{\isachardot}\ {\isasymbox}{\isachardoublequote}} \\
    36     \hyperlink{command.assume}{\mbox{\isa{\isacommand{assume}}}}~\isa{{\isachardoublequote}a{\isacharcolon}\ {\isasymphi}{\isachardoublequote}} & augment context by \isa{{\isachardoublequote}{\isasymphi}\ {\isasymLongrightarrow}\ {\isasymbox}{\isachardoublequote}} \\
    37     \hyperlink{command.then}{\mbox{\isa{\isacommand{then}}}} & indicate forward chaining of facts \\
    38     \hyperlink{command.have}{\mbox{\isa{\isacommand{have}}}}~\isa{{\isachardoublequote}a{\isacharcolon}\ {\isasymphi}{\isachardoublequote}} & prove local result \\
    39     \hyperlink{command.show}{\mbox{\isa{\isacommand{show}}}}~\isa{{\isachardoublequote}a{\isacharcolon}\ {\isasymphi}{\isachardoublequote}} & prove local result, refining some goal \\
    40     \hyperlink{command.using}{\mbox{\isa{\isacommand{using}}}}~\isa{a} & indicate use of additional facts \\
    41     \hyperlink{command.unfolding}{\mbox{\isa{\isacommand{unfolding}}}}~\isa{a} & unfold definitional equations \\
    42     \hyperlink{command.proof}{\mbox{\isa{\isacommand{proof}}}}~\isa{{\isachardoublequote}m\isactrlsub {\isadigit{1}}{\isachardoublequote}}~\dots~\hyperlink{command.qed}{\mbox{\isa{\isacommand{qed}}}}~\isa{{\isachardoublequote}m\isactrlsub {\isadigit{2}}{\isachardoublequote}} & indicate proof structure and refinements \\
    43     \hyperlink{command.braceleft}{\mbox{\isa{\isacommand{{\isacharbraceleft}}}}}~\isa{{\isachardoublequote}{\isasymdots}{\isachardoublequote}}~\hyperlink{command.braceright}{\mbox{\isa{\isacommand{{\isacharbraceright}}}}} & indicate explicit blocks \\
    44     \hyperlink{command.next}{\mbox{\isa{\isacommand{next}}}} & switch blocks \\
    45     \hyperlink{command.note}{\mbox{\isa{\isacommand{note}}}}~\isa{{\isachardoublequote}a\ {\isacharequal}\ b{\isachardoublequote}} & reconsider facts \\
    46     \hyperlink{command.let}{\mbox{\isa{\isacommand{let}}}}~\isa{{\isachardoublequote}p\ {\isacharequal}\ t{\isachardoublequote}} & abbreviate terms by higher-order matching \\
    47   \end{tabular}
    48 
    49   \medskip
    50 
    51   \begin{tabular}{rcl}
    52     \isa{{\isachardoublequote}theory{\isasymdash}stmt{\isachardoublequote}} & = & \hyperlink{command.theorem}{\mbox{\isa{\isacommand{theorem}}}}~\isa{{\isachardoublequote}name{\isacharcolon}\ props\ proof\ \ {\isacharbar}{\isachardoublequote}}~~\hyperlink{command.definition}{\mbox{\isa{\isacommand{definition}}}}~\isa{{\isachardoublequote}{\isasymdots}\ \ {\isacharbar}\ \ {\isasymdots}{\isachardoublequote}} \\[1ex]
    53     \isa{{\isachardoublequote}proof{\isachardoublequote}} & = & \isa{{\isachardoublequote}prfx\isactrlsup {\isacharasterisk}{\isachardoublequote}}~\hyperlink{command.proof}{\mbox{\isa{\isacommand{proof}}}}~\isa{{\isachardoublequote}method\isactrlsup {\isacharquery}\ stmt\isactrlsup {\isacharasterisk}{\isachardoublequote}}~\hyperlink{command.qed}{\mbox{\isa{\isacommand{qed}}}}~\isa{{\isachardoublequote}method\isactrlsup {\isacharquery}{\isachardoublequote}} \\
    54     & \isa{{\isachardoublequote}{\isacharbar}{\isachardoublequote}} & \isa{{\isachardoublequote}prfx\isactrlsup {\isacharasterisk}{\isachardoublequote}}~\hyperlink{command.done}{\mbox{\isa{\isacommand{done}}}} \\[1ex]
    55     \isa{prfx} & = & \hyperlink{command.apply}{\mbox{\isa{\isacommand{apply}}}}~\isa{method} \\
    56     & \isa{{\isachardoublequote}{\isacharbar}{\isachardoublequote}} & \hyperlink{command.using}{\mbox{\isa{\isacommand{using}}}}~\isa{{\isachardoublequote}facts{\isachardoublequote}} \\
    57     & \isa{{\isachardoublequote}{\isacharbar}{\isachardoublequote}} & \hyperlink{command.unfolding}{\mbox{\isa{\isacommand{unfolding}}}}~\isa{{\isachardoublequote}facts{\isachardoublequote}} \\
    58     \isa{stmt} & = & \hyperlink{command.braceleft}{\mbox{\isa{\isacommand{{\isacharbraceleft}}}}}~\isa{{\isachardoublequote}stmt\isactrlsup {\isacharasterisk}{\isachardoublequote}}~\hyperlink{command.braceright}{\mbox{\isa{\isacommand{{\isacharbraceright}}}}} \\
    59     & \isa{{\isachardoublequote}{\isacharbar}{\isachardoublequote}} & \hyperlink{command.next}{\mbox{\isa{\isacommand{next}}}} \\
    60     & \isa{{\isachardoublequote}{\isacharbar}{\isachardoublequote}} & \hyperlink{command.note}{\mbox{\isa{\isacommand{note}}}}~\isa{{\isachardoublequote}name\ {\isacharequal}\ facts{\isachardoublequote}} \\
    61     & \isa{{\isachardoublequote}{\isacharbar}{\isachardoublequote}} & \hyperlink{command.let}{\mbox{\isa{\isacommand{let}}}}~\isa{{\isachardoublequote}term\ {\isacharequal}\ term{\isachardoublequote}} \\
    62     & \isa{{\isachardoublequote}{\isacharbar}{\isachardoublequote}} & \hyperlink{command.fix}{\mbox{\isa{\isacommand{fix}}}}~\isa{{\isachardoublequote}var\isactrlsup {\isacharplus}{\isachardoublequote}} \\
    63     & \isa{{\isachardoublequote}{\isacharbar}{\isachardoublequote}} & \hyperlink{command.assume}{\mbox{\isa{\isacommand{assume}}}}~\isa{{\isachardoublequote}name{\isacharcolon}\ props{\isachardoublequote}} \\
    64     & \isa{{\isachardoublequote}{\isacharbar}{\isachardoublequote}} & \hyperlink{command.then}{\mbox{\isa{\isacommand{then}}}}\isa{{\isachardoublequote}\isactrlsup {\isacharquery}{\isachardoublequote}}~\isa{goal} \\
    65     \isa{goal} & = & \hyperlink{command.have}{\mbox{\isa{\isacommand{have}}}}~\isa{{\isachardoublequote}name{\isacharcolon}\ props\ proof{\isachardoublequote}} \\
    66     & \isa{{\isachardoublequote}{\isacharbar}{\isachardoublequote}} & \hyperlink{command.show}{\mbox{\isa{\isacommand{show}}}}~\isa{{\isachardoublequote}name{\isacharcolon}\ props\ proof{\isachardoublequote}} \\
    67   \end{tabular}%
    68 \end{isamarkuptext}%
    69 \isamarkuptrue%
    70 %
    71 \isamarkupsubsection{Abbreviations and synonyms%
    72 }
    73 \isamarkuptrue%
    74 %
    75 \begin{isamarkuptext}%
    76 \begin{tabular}{rcl}
    77     \hyperlink{command.by}{\mbox{\isa{\isacommand{by}}}}~\isa{{\isachardoublequote}m\isactrlsub {\isadigit{1}}\ m\isactrlsub {\isadigit{2}}{\isachardoublequote}} & \isa{{\isachardoublequote}{\isasymequiv}{\isachardoublequote}} &
    78       \hyperlink{command.proof}{\mbox{\isa{\isacommand{proof}}}}~\isa{{\isachardoublequote}m\isactrlsub {\isadigit{1}}{\isachardoublequote}}~\hyperlink{command.qed}{\mbox{\isa{\isacommand{qed}}}}~\isa{{\isachardoublequote}m\isactrlsub {\isadigit{2}}{\isachardoublequote}} \\
    79     \hyperlink{command.ddot}{\mbox{\isa{\isacommand{{\isachardot}{\isachardot}}}}} & \isa{{\isachardoublequote}{\isasymequiv}{\isachardoublequote}} & \hyperlink{command.by}{\mbox{\isa{\isacommand{by}}}}~\isa{rule} \\
    80     \hyperlink{command.dot}{\mbox{\isa{\isacommand{{\isachardot}}}}} & \isa{{\isachardoublequote}{\isasymequiv}{\isachardoublequote}} & \hyperlink{command.by}{\mbox{\isa{\isacommand{by}}}}~\isa{this} \\
    81     \hyperlink{command.hence}{\mbox{\isa{\isacommand{hence}}}} & \isa{{\isachardoublequote}{\isasymequiv}{\isachardoublequote}} & \hyperlink{command.then}{\mbox{\isa{\isacommand{then}}}}~\hyperlink{command.have}{\mbox{\isa{\isacommand{have}}}} \\
    82     \hyperlink{command.thus}{\mbox{\isa{\isacommand{thus}}}} & \isa{{\isachardoublequote}{\isasymequiv}{\isachardoublequote}} & \hyperlink{command.then}{\mbox{\isa{\isacommand{then}}}}~\hyperlink{command.show}{\mbox{\isa{\isacommand{show}}}} \\
    83     \hyperlink{command.from}{\mbox{\isa{\isacommand{from}}}}~\isa{a} & \isa{{\isachardoublequote}{\isasymequiv}{\isachardoublequote}} & \hyperlink{command.note}{\mbox{\isa{\isacommand{note}}}}~\isa{a}~\hyperlink{command.then}{\mbox{\isa{\isacommand{then}}}} \\
    84     \hyperlink{command.with}{\mbox{\isa{\isacommand{with}}}}~\isa{a} & \isa{{\isachardoublequote}{\isasymequiv}{\isachardoublequote}} & \hyperlink{command.from}{\mbox{\isa{\isacommand{from}}}}~\isa{{\isachardoublequote}a\ {\isasymAND}\ this{\isachardoublequote}} \\[1ex]
    85     \hyperlink{command.from}{\mbox{\isa{\isacommand{from}}}}~\isa{this} & \isa{{\isachardoublequote}{\isasymequiv}{\isachardoublequote}} & \hyperlink{command.then}{\mbox{\isa{\isacommand{then}}}} \\
    86     \hyperlink{command.from}{\mbox{\isa{\isacommand{from}}}}~\isa{this}~\hyperlink{command.have}{\mbox{\isa{\isacommand{have}}}} & \isa{{\isachardoublequote}{\isasymequiv}{\isachardoublequote}} & \hyperlink{command.hence}{\mbox{\isa{\isacommand{hence}}}} \\
    87     \hyperlink{command.from}{\mbox{\isa{\isacommand{from}}}}~\isa{this}~\hyperlink{command.show}{\mbox{\isa{\isacommand{show}}}} & \isa{{\isachardoublequote}{\isasymequiv}{\isachardoublequote}} & \hyperlink{command.thus}{\mbox{\isa{\isacommand{thus}}}} \\
    88   \end{tabular}%
    89 \end{isamarkuptext}%
    90 \isamarkuptrue%
    91 %
    92 \isamarkupsubsection{Derived elements%
    93 }
    94 \isamarkuptrue%
    95 %
    96 \begin{isamarkuptext}%
    97 \begin{tabular}{rcl}
    98     \hyperlink{command.also}{\mbox{\isa{\isacommand{also}}}}\isa{{\isachardoublequote}\isactrlsub {\isadigit{0}}{\isachardoublequote}} & \isa{{\isachardoublequote}{\isasymapprox}{\isachardoublequote}} &
    99       \hyperlink{command.note}{\mbox{\isa{\isacommand{note}}}}~\isa{{\isachardoublequote}calculation\ {\isacharequal}\ this{\isachardoublequote}} \\
   100     \hyperlink{command.also}{\mbox{\isa{\isacommand{also}}}}\isa{{\isachardoublequote}\isactrlsub n\isactrlsub {\isacharplus}\isactrlsub {\isadigit{1}}{\isachardoublequote}} & \isa{{\isachardoublequote}{\isasymapprox}{\isachardoublequote}} &
   101       \hyperlink{command.note}{\mbox{\isa{\isacommand{note}}}}~\isa{{\isachardoublequote}calculation\ {\isacharequal}\ trans\ {\isacharbrackleft}OF\ calculation\ this{\isacharbrackright}{\isachardoublequote}} \\
   102     \hyperlink{command.finally}{\mbox{\isa{\isacommand{finally}}}} & \isa{{\isachardoublequote}{\isasymapprox}{\isachardoublequote}} &
   103       \hyperlink{command.also}{\mbox{\isa{\isacommand{also}}}}~\hyperlink{command.from}{\mbox{\isa{\isacommand{from}}}}~\isa{calculation} \\[0.5ex]
   104     \hyperlink{command.moreover}{\mbox{\isa{\isacommand{moreover}}}} & \isa{{\isachardoublequote}{\isasymapprox}{\isachardoublequote}} &
   105       \hyperlink{command.note}{\mbox{\isa{\isacommand{note}}}}~\isa{{\isachardoublequote}calculation\ {\isacharequal}\ calculation\ this{\isachardoublequote}} \\
   106     \hyperlink{command.ultimately}{\mbox{\isa{\isacommand{ultimately}}}} & \isa{{\isachardoublequote}{\isasymapprox}{\isachardoublequote}} &
   107       \hyperlink{command.moreover}{\mbox{\isa{\isacommand{moreover}}}}~\hyperlink{command.from}{\mbox{\isa{\isacommand{from}}}}~\isa{calculation} \\[0.5ex]
   108     \hyperlink{command.presume}{\mbox{\isa{\isacommand{presume}}}}~\isa{{\isachardoublequote}a{\isacharcolon}\ {\isasymphi}{\isachardoublequote}} & \isa{{\isachardoublequote}{\isasymapprox}{\isachardoublequote}} &
   109       \hyperlink{command.assume}{\mbox{\isa{\isacommand{assume}}}}~\isa{{\isachardoublequote}a{\isacharcolon}\ {\isasymphi}{\isachardoublequote}} \\
   110     \hyperlink{command.def}{\mbox{\isa{\isacommand{def}}}}~\isa{{\isachardoublequote}a{\isacharcolon}\ x\ {\isasymequiv}\ t{\isachardoublequote}} & \isa{{\isachardoublequote}{\isasymapprox}{\isachardoublequote}} &
   111       \hyperlink{command.fix}{\mbox{\isa{\isacommand{fix}}}}~\isa{x}~\hyperlink{command.assume}{\mbox{\isa{\isacommand{assume}}}}~\isa{{\isachardoublequote}a{\isacharcolon}\ x\ {\isasymequiv}\ t{\isachardoublequote}} \\
   112     \hyperlink{command.obtain}{\mbox{\isa{\isacommand{obtain}}}}~\isa{{\isachardoublequote}x\ {\isasymWHERE}\ a{\isacharcolon}\ {\isasymphi}{\isachardoublequote}} & \isa{{\isachardoublequote}{\isasymapprox}{\isachardoublequote}} &
   113       \isa{{\isachardoublequote}{\isasymdots}{\isachardoublequote}}~\hyperlink{command.fix}{\mbox{\isa{\isacommand{fix}}}}~\isa{x}~\hyperlink{command.assume}{\mbox{\isa{\isacommand{assume}}}}~\isa{{\isachardoublequote}a{\isacharcolon}\ {\isasymphi}{\isachardoublequote}} \\
   114     \hyperlink{command.case}{\mbox{\isa{\isacommand{case}}}}~\isa{c} & \isa{{\isachardoublequote}{\isasymapprox}{\isachardoublequote}} &
   115       \hyperlink{command.fix}{\mbox{\isa{\isacommand{fix}}}}~\isa{x}~\hyperlink{command.assume}{\mbox{\isa{\isacommand{assume}}}}~\isa{{\isachardoublequote}c{\isacharcolon}\ {\isasymphi}{\isachardoublequote}} \\
   116     \hyperlink{command.sorry}{\mbox{\isa{\isacommand{sorry}}}} & \isa{{\isachardoublequote}{\isasymapprox}{\isachardoublequote}} &
   117       \hyperlink{command.by}{\mbox{\isa{\isacommand{by}}}}~\isa{cheating} \\
   118   \end{tabular}%
   119 \end{isamarkuptext}%
   120 \isamarkuptrue%
   121 %
   122 \isamarkupsubsection{Diagnostic commands%
   123 }
   124 \isamarkuptrue%
   125 %
   126 \begin{isamarkuptext}%
   127 \begin{tabular}{ll}
   128     \hyperlink{command.pr}{\mbox{\isa{\isacommand{pr}}}} & print current state \\
   129     \hyperlink{command.thm}{\mbox{\isa{\isacommand{thm}}}}~\isa{a} & print fact \\
   130     \hyperlink{command.term}{\mbox{\isa{\isacommand{term}}}}~\isa{t} & print term \\
   131     \hyperlink{command.prop}{\mbox{\isa{\isacommand{prop}}}}~\isa{{\isasymphi}} & print meta-level proposition \\
   132     \hyperlink{command.typ}{\mbox{\isa{\isacommand{typ}}}}~\isa{{\isasymtau}} & print meta-level type \\
   133   \end{tabular}%
   134 \end{isamarkuptext}%
   135 \isamarkuptrue%
   136 %
   137 \isamarkupsection{Proof methods%
   138 }
   139 \isamarkuptrue%
   140 %
   141 \begin{isamarkuptext}%
   142 \begin{tabular}{ll}
   143     \multicolumn{2}{l}{\textbf{Single steps (forward-chaining facts)}} \\[0.5ex]
   144     \hyperlink{method.assumption}{\mbox{\isa{assumption}}} & apply some assumption \\
   145     \hyperlink{method.this}{\mbox{\isa{this}}} & apply current facts \\
   146     \hyperlink{method.rule}{\mbox{\isa{rule}}}~\isa{a} & apply some rule  \\
   147     \hyperlink{method.rule}{\mbox{\isa{rule}}} & apply standard rule (default for \hyperlink{command.proof}{\mbox{\isa{\isacommand{proof}}}}) \\
   148     \hyperlink{method.contradiction}{\mbox{\isa{contradiction}}} & apply \isa{{\isachardoublequote}{\isasymnot}{\isachardoublequote}} elimination rule (any order) \\
   149     \hyperlink{method.cases}{\mbox{\isa{cases}}}~\isa{t} & case analysis (provides cases) \\
   150     \hyperlink{method.induct}{\mbox{\isa{induct}}}~\isa{x} & proof by induction (provides cases) \\[2ex]
   151 
   152     \multicolumn{2}{l}{\textbf{Repeated steps (inserting facts)}} \\[0.5ex]
   153     \hyperlink{method.-}{\mbox{\isa{{\isacharminus}}}} & no rules \\
   154     \hyperlink{method.intro}{\mbox{\isa{intro}}}~\isa{a} & introduction rules \\
   155     \hyperlink{method.intro-classes}{\mbox{\isa{intro{\isacharunderscore}classes}}} & class introduction rules \\
   156     \hyperlink{method.elim}{\mbox{\isa{elim}}}~\isa{a} & elimination rules \\
   157     \hyperlink{method.unfold}{\mbox{\isa{unfold}}}~\isa{a} & definitional rewrite rules \\[2ex]
   158 
   159     \multicolumn{2}{l}{\textbf{Automated proof tools (inserting facts)}} \\[0.5ex]
   160     \hyperlink{method.iprover}{\mbox{\isa{iprover}}} & intuitionistic proof search \\
   161     \hyperlink{method.blast}{\mbox{\isa{blast}}}, \hyperlink{method.fast}{\mbox{\isa{fast}}} & Classical Reasoner \\
   162     \hyperlink{method.simp}{\mbox{\isa{simp}}}, \hyperlink{method.simp-all}{\mbox{\isa{simp{\isacharunderscore}all}}} & Simplifier (+ Splitter) \\
   163     \hyperlink{method.auto}{\mbox{\isa{auto}}}, \hyperlink{method.force}{\mbox{\isa{force}}} & Simplifier + Classical Reasoner \\
   164     \hyperlink{method.arith}{\mbox{\isa{arith}}} & Arithmetic procedures \\
   165   \end{tabular}%
   166 \end{isamarkuptext}%
   167 \isamarkuptrue%
   168 %
   169 \isamarkupsection{Attributes%
   170 }
   171 \isamarkuptrue%
   172 %
   173 \begin{isamarkuptext}%
   174 \begin{tabular}{ll}
   175     \multicolumn{2}{l}{\textbf{Operations}} \\[0.5ex]
   176     \hyperlink{attribute.OF}{\mbox{\isa{OF}}}~\isa{a} & rule resolved with facts (skipping ``\isa{{\isacharunderscore}}'') \\
   177     \hyperlink{attribute.of}{\mbox{\isa{of}}}~\isa{t} & rule instantiated with terms (skipping ``\isa{{\isacharunderscore}}'') \\
   178     \hyperlink{attribute.where}{\mbox{\isa{where}}}~\isa{{\isachardoublequote}x\ {\isacharequal}\ t{\isachardoublequote}} & rule instantiated with terms, by variable name \\
   179     \hyperlink{attribute.symmetric}{\mbox{\isa{symmetric}}} & resolution with symmetry rule \\
   180     \hyperlink{attribute.THEN}{\mbox{\isa{THEN}}}~\isa{b} & resolution with another rule \\
   181     \hyperlink{attribute.rule-format}{\mbox{\isa{rule{\isacharunderscore}format}}} & result put into standard rule format \\
   182     \hyperlink{attribute.elim-format}{\mbox{\isa{elim{\isacharunderscore}format}}} & destruct rule turned into elimination rule format \\[1ex]
   183 
   184     \multicolumn{2}{l}{\textbf{Declarations}} \\[0.5ex]
   185     \hyperlink{attribute.simp}{\mbox{\isa{simp}}} & Simplifier rule \\
   186     \hyperlink{attribute.intro}{\mbox{\isa{intro}}}, \hyperlink{attribute.elim}{\mbox{\isa{elim}}}, \hyperlink{attribute.dest}{\mbox{\isa{dest}}} & Pure or Classical Reasoner rule \\
   187     \hyperlink{attribute.iff}{\mbox{\isa{iff}}} & Simplifier + Classical Reasoner rule \\
   188     \hyperlink{attribute.split}{\mbox{\isa{split}}} & case split rule \\
   189     \hyperlink{attribute.trans}{\mbox{\isa{trans}}} & transitivity rule \\
   190     \hyperlink{attribute.sym}{\mbox{\isa{sym}}} & symmetry rule \\
   191   \end{tabular}%
   192 \end{isamarkuptext}%
   193 \isamarkuptrue%
   194 %
   195 \isamarkupsection{Rule declarations and methods%
   196 }
   197 \isamarkuptrue%
   198 %
   199 \begin{isamarkuptext}%
   200 \begin{tabular}{l|lllll}
   201       & \hyperlink{method.rule}{\mbox{\isa{rule}}} & \hyperlink{method.iprover}{\mbox{\isa{iprover}}} & \hyperlink{method.blast}{\mbox{\isa{blast}}} & \hyperlink{method.simp}{\mbox{\isa{simp}}} & \hyperlink{method.auto}{\mbox{\isa{auto}}} \\
   202       &                &                   & \hyperlink{method.fast}{\mbox{\isa{fast}}} & \hyperlink{method.simp-all}{\mbox{\isa{simp{\isacharunderscore}all}}} & \hyperlink{method.force}{\mbox{\isa{force}}} \\
   203     \hline
   204     \hyperlink{attribute.Pure.elim}{\mbox{\isa{Pure{\isachardot}elim}}}\isa{{\isachardoublequote}{\isacharbang}{\isachardoublequote}} \hyperlink{attribute.Pure.intro}{\mbox{\isa{Pure{\isachardot}intro}}}\isa{{\isachardoublequote}{\isacharbang}{\isachardoublequote}}
   205       & \isa{{\isachardoublequote}{\isasymtimes}{\isachardoublequote}}    & \isa{{\isachardoublequote}{\isasymtimes}{\isachardoublequote}} \\
   206     \hyperlink{attribute.Pure.elim}{\mbox{\isa{Pure{\isachardot}elim}}} \hyperlink{attribute.Pure.intro}{\mbox{\isa{Pure{\isachardot}intro}}}
   207       & \isa{{\isachardoublequote}{\isasymtimes}{\isachardoublequote}}    & \isa{{\isachardoublequote}{\isasymtimes}{\isachardoublequote}} \\
   208     \hyperlink{attribute.elim}{\mbox{\isa{elim}}}\isa{{\isachardoublequote}{\isacharbang}{\isachardoublequote}} \hyperlink{attribute.intro}{\mbox{\isa{intro}}}\isa{{\isachardoublequote}{\isacharbang}{\isachardoublequote}}
   209       & \isa{{\isachardoublequote}{\isasymtimes}{\isachardoublequote}}    &                    & \isa{{\isachardoublequote}{\isasymtimes}{\isachardoublequote}}          &                     & \isa{{\isachardoublequote}{\isasymtimes}{\isachardoublequote}} \\
   210     \hyperlink{attribute.elim}{\mbox{\isa{elim}}} \hyperlink{attribute.intro}{\mbox{\isa{intro}}}
   211       & \isa{{\isachardoublequote}{\isasymtimes}{\isachardoublequote}}    &                    & \isa{{\isachardoublequote}{\isasymtimes}{\isachardoublequote}}          &                     & \isa{{\isachardoublequote}{\isasymtimes}{\isachardoublequote}} \\
   212     \hyperlink{attribute.iff}{\mbox{\isa{iff}}}
   213       & \isa{{\isachardoublequote}{\isasymtimes}{\isachardoublequote}}    &                    & \isa{{\isachardoublequote}{\isasymtimes}{\isachardoublequote}}          & \isa{{\isachardoublequote}{\isasymtimes}{\isachardoublequote}}         & \isa{{\isachardoublequote}{\isasymtimes}{\isachardoublequote}} \\
   214     \hyperlink{attribute.iff}{\mbox{\isa{iff}}}\isa{{\isachardoublequote}{\isacharquery}{\isachardoublequote}}
   215       & \isa{{\isachardoublequote}{\isasymtimes}{\isachardoublequote}} \\
   216     \hyperlink{attribute.elim}{\mbox{\isa{elim}}}\isa{{\isachardoublequote}{\isacharquery}{\isachardoublequote}} \hyperlink{attribute.intro}{\mbox{\isa{intro}}}\isa{{\isachardoublequote}{\isacharquery}{\isachardoublequote}}
   217       & \isa{{\isachardoublequote}{\isasymtimes}{\isachardoublequote}} \\
   218     \hyperlink{attribute.simp}{\mbox{\isa{simp}}}
   219       &                &                    &                      & \isa{{\isachardoublequote}{\isasymtimes}{\isachardoublequote}}         & \isa{{\isachardoublequote}{\isasymtimes}{\isachardoublequote}} \\
   220     \hyperlink{attribute.cong}{\mbox{\isa{cong}}}
   221       &                &                    &                      & \isa{{\isachardoublequote}{\isasymtimes}{\isachardoublequote}}         & \isa{{\isachardoublequote}{\isasymtimes}{\isachardoublequote}} \\
   222     \hyperlink{attribute.split}{\mbox{\isa{split}}}
   223       &                &                    &                      & \isa{{\isachardoublequote}{\isasymtimes}{\isachardoublequote}}         & \isa{{\isachardoublequote}{\isasymtimes}{\isachardoublequote}} \\
   224   \end{tabular}%
   225 \end{isamarkuptext}%
   226 \isamarkuptrue%
   227 %
   228 \isamarkupsection{Emulating tactic scripts%
   229 }
   230 \isamarkuptrue%
   231 %
   232 \isamarkupsubsection{Commands%
   233 }
   234 \isamarkuptrue%
   235 %
   236 \begin{isamarkuptext}%
   237 \begin{tabular}{ll}
   238     \hyperlink{command.apply}{\mbox{\isa{\isacommand{apply}}}}~\isa{m} & apply proof method at initial position \\
   239     \hyperlink{command.apply-end}{\mbox{\isa{\isacommand{apply{\isacharunderscore}end}}}}~\isa{m} & apply proof method near terminal position \\
   240     \hyperlink{command.done}{\mbox{\isa{\isacommand{done}}}} & complete proof \\
   241     \hyperlink{command.defer}{\mbox{\isa{\isacommand{defer}}}}~\isa{n} & move subgoal to end \\
   242     \hyperlink{command.prefer}{\mbox{\isa{\isacommand{prefer}}}}~\isa{n} & move subgoal to beginning \\
   243     \hyperlink{command.back}{\mbox{\isa{\isacommand{back}}}} & backtrack last command \\
   244   \end{tabular}%
   245 \end{isamarkuptext}%
   246 \isamarkuptrue%
   247 %
   248 \isamarkupsubsection{Methods%
   249 }
   250 \isamarkuptrue%
   251 %
   252 \begin{isamarkuptext}%
   253 \begin{tabular}{ll}
   254     \hyperlink{method.rule-tac}{\mbox{\isa{rule{\isacharunderscore}tac}}}~\isa{insts} & resolution (with instantiation) \\
   255     \hyperlink{method.erule-tac}{\mbox{\isa{erule{\isacharunderscore}tac}}}~\isa{insts} & elim-resolution (with instantiation) \\
   256     \hyperlink{method.drule-tac}{\mbox{\isa{drule{\isacharunderscore}tac}}}~\isa{insts} & destruct-resolution (with instantiation) \\
   257     \hyperlink{method.frule-tac}{\mbox{\isa{frule{\isacharunderscore}tac}}}~\isa{insts} & forward-resolution (with instantiation) \\
   258     \hyperlink{method.cut-tac}{\mbox{\isa{cut{\isacharunderscore}tac}}}~\isa{insts} & insert facts (with instantiation) \\
   259     \hyperlink{method.thin-tac}{\mbox{\isa{thin{\isacharunderscore}tac}}}~\isa{{\isasymphi}} & delete assumptions \\
   260     \hyperlink{method.subgoal-tac}{\mbox{\isa{subgoal{\isacharunderscore}tac}}}~\isa{{\isasymphi}} & new claims \\
   261     \hyperlink{method.rename-tac}{\mbox{\isa{rename{\isacharunderscore}tac}}}~\isa{x} & rename innermost goal parameters \\
   262     \hyperlink{method.rotate-tac}{\mbox{\isa{rotate{\isacharunderscore}tac}}}~\isa{n} & rotate assumptions of goal \\
   263     \hyperlink{method.tactic}{\mbox{\isa{tactic}}}~\isa{{\isachardoublequote}text{\isachardoublequote}} & arbitrary ML tactic \\
   264     \hyperlink{method.case-tac}{\mbox{\isa{case{\isacharunderscore}tac}}}~\isa{t} & exhaustion (datatypes) \\
   265     \hyperlink{method.induct-tac}{\mbox{\isa{induct{\isacharunderscore}tac}}}~\isa{x} & induction (datatypes) \\
   266     \hyperlink{method.ind-cases}{\mbox{\isa{ind{\isacharunderscore}cases}}}~\isa{t} & exhaustion + simplification (inductive predicates) \\
   267   \end{tabular}%
   268 \end{isamarkuptext}%
   269 \isamarkuptrue%
   270 %
   271 \isadelimtheory
   272 %
   273 \endisadelimtheory
   274 %
   275 \isatagtheory
   276 \isacommand{end}\isamarkupfalse%
   277 %
   278 \endisatagtheory
   279 {\isafoldtheory}%
   280 %
   281 \isadelimtheory
   282 %
   283 \endisadelimtheory
   284 \isanewline
   285 \end{isabellebody}%
   286 %%% Local Variables:
   287 %%% mode: latex
   288 %%% TeX-master: "root"
   289 %%% End: