src/HOL/Isar_examples/document/proof.sty

Mirabelle: actions are responsible for handling exceptions,
Mirabelle core logs only structural information,
measuring running times for sledgehammer and subsequent metis invocation,
Mirabelle produces reports for every theory (only for sledgehammer at the moment)

%       proof.sty       (Proof Figure Macros)
%
%       version 1.0
%       October 13, 1990
%       Copyright (C) 1990 Makoto Tatsuta ([e-mail])
%
% This program is free software; you can redistribute it or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation; either versions 1, or (at your option)
% any later version.
%
% This program is distributed in the hope that it will be useful
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
% GNU General Public License for more details.
%
%       Usage:
%               In \documentstyle, specify an optional style `proof', say,
%                       \documentstyle[proof]{article}.
%
%       The following macros are available:
%
%       In all the following macros, all the arguments such as
%       <Lowers> and <Uppers> are processed in math mode.
%
%       \infer<Lower><Uppers>
%               draws an inference.
%
%               Use & in <Uppers> to delimit upper formulae.
%               <Uppers> consists more than 0 formulae.
%
%               \infer returns \hbox{ ... } or \vbox{ ... } and
%               sets \@LeftOffset and \@RightOffset globally.
%
%       \infer[<Label>]<Lower><Uppers>
%               draws an inference labeled with <Label>.
%
%       \infer*<Lower><Uppers>
%               draws a many step deduction.
%
%       \infer*[<Label>]<Lower><Uppers>
%               draws a many step deduction labeled with <Label>.
%
%       \deduce<Lower><Uppers>
%               draws an inference without a rule.
%
%       \deduce[<Proof>]<Lower><Uppers>
%               draws a many step deduction with a proof name.
%
%       Example:
%               If you want to write
%                           B C
%                          -----
%                      A     D
%                     ----------
%                         E
%       use
%               \infer{E}{
%                       A
%                       &
%                       \infer{D}{B & C}
%               }
%

%       Style Parameters

\newdimen\inferLineSkip         \inferLineSkip=2pt
\newdimen\inferLabelSkip        \inferLabelSkip=5pt
\def\inferTabSkip{\quad}

%       Variables

\newdimen\@LeftOffset   % global
\newdimen\@RightOffset  % global
\newdimen\@SavedLeftOffset      % safe from users

\newdimen\UpperWidth
\newdimen\LowerWidth
\newdimen\LowerHeight
\newdimen\UpperLeftOffset
\newdimen\UpperRightOffset
\newdimen\UpperCenter
\newdimen\LowerCenter
\newdimen\UpperAdjust
\newdimen\RuleAdjust
\newdimen\LowerAdjust
\newdimen\RuleWidth
\newdimen\HLabelAdjust
\newdimen\VLabelAdjust
\newdimen\WidthAdjust

\newbox\@UpperPart
\newbox\@LowerPart
\newbox\@LabelPart
\newbox\ResultBox

%       Flags

\newif\if@inferRule     % whether \@infer draws a rule.
\newif\if@ReturnLeftOffset      % whether \@infer returns \@LeftOffset.
\newif\if@MathSaved     % whether inner math mode where \infer or
                        % \deduce appears.

%       Special Fonts

\def\DeduceSym{\vtop{\baselineskip4\p@ \lineskiplimit\z@
    \vbox{\hbox{.}\hbox{.}\hbox{.}}\hbox{.}}}

%       Math Save Macros
%
%       \@SaveMath is called in the very begining of toplevel macros
%       which are \infer and \deduce.
%       \@RestoreMath is called in the very last before toplevel macros end.
%       Remark \infer and \deduce ends calling \@infer.

%\def\@SaveMath{\@MathSavedfalse \ifmmode \ifinner
%        \relax $\relax \@MathSavedtrue \fi\fi }
%
%\def\@RestoreMath{\if@MathSaved \relax $\relax\fi }

\def\@SaveMath{\relax}
\def\@RestoreMath{\relax}


%       Macros

\def\@ifEmpty#1#2#3{\def\@tempa{\@empty}\def\@tempb{#1}\relax
        \ifx \@tempa \@tempb #2\else #3\fi }

\def\infer{\@SaveMath \@ifnextchar *{\@inferSteps}{\@inferOneStep}}

\def\@inferOneStep{\@inferRuletrue
        \@ifnextchar [{\@infer}{\@infer[\@empty]}}

\def\@inferSteps*{\@ifnextchar [{\@@inferSteps}{\@@inferSteps[\@empty]}}

\def\@@inferSteps[#1]{\@deduce{#1}[\DeduceSym]}

\def\deduce{\@SaveMath \@ifnextchar [{\@deduce{\@empty}}
        {\@inferRulefalse \@infer[\@empty]}}

%       \@deduce<Proof Label>[<Proof>]<Lower><Uppers>

\def\@deduce#1[#2]#3#4{\@inferRulefalse
        \@infer[\@empty]{#3}{\@SaveMath \@infer[{#1}]{#2}{#4}}}

%       \@infer[<Label>]<Lower><Uppers>
%               If \@inferRuletrue, draws a rule and <Label> is right to
%               a rule.
%               Otherwise, draws no rule and <Label> is right to <Lower>.

\def\@infer[#1]#2#3{\relax
% Get parameters
        \if@ReturnLeftOffset \else \@SavedLeftOffset=\@LeftOffset \fi
        \setbox\@LabelPart=\hbox{$#1$}\relax
        \setbox\@LowerPart=\hbox{$#2$}\relax
%
        \global\@LeftOffset=0pt
        \setbox\@UpperPart=\vbox{\tabskip=0pt \halign{\relax
                \global\@RightOffset=0pt \@ReturnLeftOffsettrue $##$&&
                \inferTabSkip
                \global\@RightOffset=0pt \@ReturnLeftOffsetfalse $##$\cr
                #3\cr}}\relax
%                       Here is a little trick.
%                       \@ReturnLeftOffsettrue(false) influences on \infer or
%                       \deduce placed in ## locally
%                       because of \@SaveMath and \@RestoreMath.
        \UpperLeftOffset=\@LeftOffset
        \UpperRightOffset=\@RightOffset
% Calculate Adjustments
        \LowerWidth=\wd\@LowerPart
        \LowerHeight=\ht\@LowerPart
        \LowerCenter=0.5\LowerWidth
%
        \UpperWidth=\wd\@UpperPart \advance\UpperWidth by -\UpperLeftOffset
        \advance\UpperWidth by -\UpperRightOffset
        \UpperCenter=\UpperLeftOffset
        \advance\UpperCenter by 0.5\UpperWidth
%
        \ifdim \UpperWidth > \LowerWidth
                % \UpperCenter > \LowerCenter
        \UpperAdjust=0pt
        \RuleAdjust=\UpperLeftOffset
        \LowerAdjust=\UpperCenter \advance\LowerAdjust by -\LowerCenter
        \RuleWidth=\UpperWidth
        \global\@LeftOffset=\LowerAdjust
%
        \else   % \UpperWidth <= \LowerWidth
        \ifdim \UpperCenter > \LowerCenter
%
        \UpperAdjust=0pt
        \RuleAdjust=\UpperCenter \advance\RuleAdjust by -\LowerCenter
        \LowerAdjust=\RuleAdjust
        \RuleWidth=\LowerWidth
        \global\@LeftOffset=\LowerAdjust
%
        \else   % \UpperWidth <= \LowerWidth
                % \UpperCenter <= \LowerCenter
%
        \UpperAdjust=\LowerCenter \advance\UpperAdjust by -\UpperCenter
        \RuleAdjust=0pt
        \LowerAdjust=0pt
        \RuleWidth=\LowerWidth
        \global\@LeftOffset=0pt
%
        \fi\fi
% Make a box
        \if@inferRule
%
        \setbox\ResultBox=\vbox{
                \moveright \UpperAdjust \box\@UpperPart
                \nointerlineskip \kern\inferLineSkip
                \moveright \RuleAdjust \vbox{\hrule width\RuleWidth}\relax
                \nointerlineskip \kern\inferLineSkip
                \moveright \LowerAdjust \box\@LowerPart }\relax
%
        \@ifEmpty{#1}{}{\relax
%
        \HLabelAdjust=\wd\ResultBox     \advance\HLabelAdjust by -\RuleAdjust
        \advance\HLabelAdjust by -\RuleWidth
        \WidthAdjust=\HLabelAdjust
        \advance\WidthAdjust by -\inferLabelSkip
        \advance\WidthAdjust by -\wd\@LabelPart
        \ifdim \WidthAdjust < 0pt \WidthAdjust=0pt \fi
%
        \VLabelAdjust=\dp\@LabelPart
        \advance\VLabelAdjust by -\ht\@LabelPart
        \VLabelAdjust=0.5\VLabelAdjust  \advance\VLabelAdjust by \LowerHeight
        \advance\VLabelAdjust by \inferLineSkip
%
        \setbox\ResultBox=\hbox{\box\ResultBox
                \kern -\HLabelAdjust \kern\inferLabelSkip
                \raise\VLabelAdjust \box\@LabelPart \kern\WidthAdjust}\relax
%
        }\relax % end @ifEmpty
%
        \else % \@inferRulefalse
%
        \setbox\ResultBox=\vbox{
                \moveright \UpperAdjust \box\@UpperPart
                \nointerlineskip \kern\inferLineSkip
                \moveright \LowerAdjust \hbox{\unhbox\@LowerPart
                        \@ifEmpty{#1}{}{\relax
                        \kern\inferLabelSkip \unhbox\@LabelPart}}}\relax
        \fi
%
        \global\@RightOffset=\wd\ResultBox
        \global\advance\@RightOffset by -\@LeftOffset
        \global\advance\@RightOffset by -\LowerWidth
        \if@ReturnLeftOffset \else \global\@LeftOffset=\@SavedLeftOffset \fi
%
        \box\ResultBox
        \@RestoreMath
}