--- a/CookBook/document/proof.sty Wed Mar 18 23:52:51 2009 +0100
+++ /dev/null Thu Jan 01 00:00:00 1970 +0000
@@ -1,278 +0,0 @@
-% proof.sty (Proof Figure Macros)
-%
-% version 3.0 (for both LaTeX 2.09 and LaTeX 2e)
-% Mar 6, 1997
-% Copyright (C) 1990 -- 1997, Makoto Tatsuta (tatsuta@kusm.kyoto-u.ac.jp)
-%
-% 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>.
-%
-% \infer=<Lower><Uppers>
-% draws a double-ruled deduction.
-%
-% \infer=[<Label>]<Lower><Uppers>
-% draws a double-ruled 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@DoubleRule % whether \@infer draws doulbe rules.
-\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 $\relax\fi }
-
-% Macros
-
-% Renaming @ifnextchar and @ifnch of LaTeX2e to @IFnextchar and @IFnch.
-
-\def\@IFnextchar#1#2#3{%
- \let\reserved@e=#1\def\reserved@a{#2}\def\reserved@b{#3}\futurelet
- \reserved@c\@IFnch}
-\def\@IFnch{\ifx \reserved@c \@sptoken \let\reserved@d\@xifnch
- \else \ifx \reserved@c \reserved@e\let\reserved@d\reserved@a\else
- \let\reserved@d\reserved@b\fi
- \fi \reserved@d}
-
-\def\@ifEmpty#1#2#3{\def\@tempa{\@empty}\def\@tempb{#1}\relax
- \ifx \@tempa \@tempb #2\else #3\fi }
-
-\def\infer{\@SaveMath \@IFnextchar *{\@inferSteps}{\relax
- \@IFnextchar ={\@inferDoubleRule}{\@inferOneStep}}}
-
-\def\@inferOneStep{\@inferRuletrue \@DoubleRulefalse
- \@IFnextchar [{\@infer}{\@infer[\@empty]}}
-
-\def\@inferDoubleRule={\@inferRuletrue \@DoubleRuletrue
- \@IFnextchar [{\@infer}{\@infer[\@empty]}}
-
-\def\@inferSteps*{\@IFnextchar [{\@@inferSteps}{\@@inferSteps[\@empty]}}
-
-\def\@@inferSteps[#1]{\@deduce{#1}[\DeduceSym]}
-
-\def\deduce{\@SaveMath \@IFnextchar [{\@deduce{\@empty}}
- {\@inferRulefalse \@infer[\@empty]}}
-
-% \@deduce<Proof Label>[<Proof>]<Lower><Uppers>
-
-\def\@deduce#1[#2]#3#4{\@inferRulefalse
- \@infer[\@empty]{#3}{\@SaveMath \@infer[{#1}]{#2}{#4}}}
-
-% \@infer[<Label>]<Lower><Uppers>
-% If \@inferRuletrue, it draws a rule and <Label> is right to
-% a rule. In this case, if \@DoubleRuletrue, it draws
-% double rules.
-%
-% Otherwise, draws no rule and <Label> is right to <Lower>.
-
-\def\@infer[#1]#2#3{\relax
-% Get parameters
- \if@ReturnLeftOffset \else \@SavedLeftOffset=\@LeftOffset \fi
- \setbox\@LabelPart=\hbox{$#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
- \if@DoubleRule
- \moveright \RuleAdjust \vbox{\hrule width\RuleWidth
- \kern 1pt\hrule width\RuleWidth}\relax
- \else
- \moveright \RuleAdjust \vbox{\hrule width\RuleWidth}\relax
- \fi
- \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
-}