gfnotation (2may15)

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+                    GNU GENERAL PUBLIC LICENSE
+                       Version 3, 29 June 2007
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+PURPOSE.  THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
+IS WITH YOU.  SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
+ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
+
+  16. Limitation of Liability.
+
+  IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
+THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
+GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
+USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
+DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
+PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
+EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGES.
+
+  17. Interpretation of Sections 15 and 16.
+
+  If the disclaimer of warranty and limitation of liability provided
+above cannot be given local legal effect according to their terms,
+reviewing courts shall apply local law that most closely approximates
+an absolute waiver of all civil liability in connection with the
+Program, unless a warranty or assumption of liability accompanies a
+copy of the Program in return for a fee.
+
+                     END OF TERMS AND CONDITIONS
+
+            How to Apply These Terms to Your New Programs
+
+  If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+  To do so, attach the following notices to the program.  It is safest
+to attach them to the start of each source file to most effectively
+state the exclusion of warranty; and each file should have at least
+the "copyright" line and a pointer to where the full notice is found.
+
+    <one line to give the program's name and a brief idea of what it does.>
+    Copyright (C) <year>  <name of author>
+
+    This program is free software: you can redistribute it and/or modify
+    it under the terms of the GNU General Public License as published by
+    the Free Software Foundation, either version 3 of the License, 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.
+
+    You should have received a copy of the GNU General Public License
+    along with this program.  If not, see <http://www.gnu.org/licenses/>.
+
+Also add information on how to contact you by electronic and paper mail.
+
+  If the program does terminal interaction, make it output a short
+notice like this when it starts in an interactive mode:
+
+    <program>  Copyright (C) <year>  <name of author>
+    This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+    This is free software, and you are welcome to redistribute it
+    under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License.  Of course, your program's commands
+might be different; for a GUI interface, you would use an "about box".
+
+  You should also get your employer (if you work as a programmer) or school,
+if any, to sign a "copyright disclaimer" for the program, if necessary.
+For more information on this, and how to apply and follow the GNU GPL, see
+<http://www.gnu.org/licenses/>.
+
+  The GNU General Public License does not permit incorporating your program
+into proprietary programs.  If your program is a subroutine library, you
+may consider it more useful to permit linking proprietary applications with
+the library.  If this is what you want to do, use the GNU Lesser General
+Public License instead of this License.  But first, please read
+<http://www.gnu.org/philosophy/why-not-lgpl.html>.
diff --git a/Master/texmf-dist/doc/plain/gfnotation/GFnotation-doc.pdf b/Master/texmf-dist/doc/plain/gfnotation/GFnotation-doc.pdf
new file mode 100644
index 00000000000..a32c0c75f0b
--- /dev/null
+++ b/Master/texmf-dist/doc/plain/gfnotation/GFnotation-doc.pdf
diff --git a/Master/texmf-dist/doc/plain/gfnotation/GFnotation-doc.tex b/Master/texmf-dist/doc/plain/gfnotation/GFnotation-doc.tex
new file mode 100644
index 00000000000..d57cc991057
--- /dev/null
+++ b/Master/texmf-dist/doc/plain/gfnotation/GFnotation-doc.tex
@@ -0,0 +1,1186 @@
+% This file is part of the CTAN package named gfnotation.
+%
+%   This is the users guide to the TeX macros ``GFnotation.tex''.
+%   GFnotation.tex: typeset G. Frege's notation of the Begriffsschrift or
+%                   the Grundgesetze der Arithmetik in plain TeX
+%
+%   Copyright (C) 2015  Udo Wermuth (author)
+%
+%   This program is free software: you can redistribute it and/or modify
+%   it under the terms of the GNU General Public License as published by
+%   the Free Software Foundation, either version 3 of the License, 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.
+%
+%   You should have received a copy of the GNU General Public License
+%   along with this program.  If not, see <http://www.gnu.org/licenses/>.
+% %%%
+% %%% GFnotation
+% %%%
+\input amssym.def
+\catcode`\ß=11
+\let\nosubst=f
+\let\showrotation=t \input rotate
+\let\fgefontsknown=t
+\input GFnotation
+\gfbslognotationtrue
+\gfbszeigestatstrue
+% %%%
+% %%% verbatim macros (from manmac.tex)
+% %%%
+\newskip\ttglue {\tt\global\ttglue=0.5em plus 0.25em minus 0.15em }
+\def\ttverbatim{\begingroup \frenchspacing
+  \catcode`\\=12 \catcode`\{=12 \catcode`\}=12 \catcode`\$=12 \catcode`\&=12
+  \catcode`\#=12 \catcode`\%=12 \catcode`\~=12 \catcode`\_=12 \catcode`\^=12
+  \obeyspaces \obeylines \tt}
+\def\verbatimspace{\ifvmode\indent\fi\space}
+{\obeyspaces \gdef\makespaceverbspace{\def {\verbatimspace}}}
+\outer\def\verbatim{$$\ifdim\parskip>0pt
+    \abovedisplayskip=\parskip \abovedisplayshortskip=\parskip
+    \belowdisplayskip=\parskip \belowdisplayshortskip=\parskip
+  \else
+    \abovedisplayskip=3pt \abovedisplayshortskip=3pt
+    \belowdisplayskip=3pt \belowdisplayshortskip=3pt
+  \fi
+  \let\par=\endgraf \ttverbatim \makespaceverbspace \parskip=0pt
+  \catcode`\§=0 \advance\leftskip by 10pt \ttfinish}
+{\catcode`\§=0 §catcode`§\=12 % § is temporary escape character
+  §obeylines % end of line is active
+  §gdef§ttfinish#1^^M#2\endverbatim{§vbox{#2}§endgroup$$}}
+\catcode`\¤=\active
+{\obeylines \gdef¤{\ttverbatim \spaceskip\ttglue \let^^M=\  \let¤=\endgroup}}
+% %%%
+% %%% Examples
+% %%%
+\def\Econt{\goodbreak\bgroup
+  \parskip=0pt \leftskip=3\parindent \rightskip=\leftskip \parindent=0pt }
+\def\Epause{\par\egroup}
+\def\Example#1{\bigskip\Econt\noindent{\bf Example #1.}\ }
+\def\Eend#1{\ifnum#1>0 \vskip-\baselineskip\fi
+  \hfill\vrule height 7pt depth 1pt width 3pt \Epause\bigskip}
+% %%%
+% %%% hyphenation exceptions
+% %%%
+\hyphenation{Gottlob Frege Begriffs-schrift Grund-gesetze}
+% %%%
+% %%% other
+% %%%
+\def\\{\par\vskip0pt plus.3\vsize\penalty-253\vskip0pt plus-.3\vsize\relax}
+\def\AmSTeX{$\cal A\kern-.1667em\lower.5ex\hbox{$\cal M$}\kern-.075em S$-\TeX}
+\def\La{L\kern-3pt \raise.42ex\hbox{$\scriptstyle A$}}
+\def\LaTeX{\La\kern-.15em\TeX}
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\parskip=0.25\baselineskip
+\settabs 6 \columns
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\font\titlefont=cmssdc10 at 36pt
+\font\subtitlefont=cmssdc10 at 17pt
+%
+\centerline{\titlefont Users Guide}
+\bigskip
+\centerline{\subtitlefont GFnotation.tex (version 2.9, 29.03.2015)}
+
+% %%%%%%%%%%%
+\beginsection 1. Description
+
+This package implements macros to typeset formulas and inferences in
+Gottlob Frege's notation in the style of his ``Begriffsschrift, eine der
+arithmetischen nachgebildete Formelsprache des reinen Denkens'' (see
+[1]) or in the style of his main work ``Grundgesetze der Arithmetik''
+(see [2]). Here is an example of a single
+formula: \frege|{..\gA.{*.a.{f(\da)}}}. And this is a complete
+inference:
+\nlp4\*_[-\*-:-\ce{$\gA$}
+\nlp4\*___\*_'-\ce{$\gB$}
+\nlp4\*_[-\*---\ce{$\gB$}
+\nlp4\*---\*---\*---
+\nlp4\*_[-\*---\ce{$\gA$} .
+
+The package has two input formats, the so-called ``symbolic
+representation'' and the ``short form.''  The short form outputs the
+formulas either in the style of Frege's {\it Begriffsschrift\/} or in
+the style that is used in his {\it Grundgesetze}.  The above formulas
+are in the style of the {\it Begriffsschrift\/}; here is the first one
+in the style of the {\it Grundgesetze\/}:
+\toggleGGstyle\frege|{..\gA.{*.a.{f(\da)}}}.\toggleGGstyle
+
+{\it Note\/}: This users guide shows how to work with the package.
+It does not explain the constructions and symbols in Frege's
+notation.
+
+
+% %%%%%%%%%%%
+\beginsection 2. Elements of Frege's notation
+
+{\bf a) Letters.}\ Frege used lowercase roman letters, $a$, $b$,
+$c$, \dots, uppercase Greek letters $\gA$, $\gB$, $\gG$, \dots,
+lowercase Greek letters $\ka$, $\kb$, $\kg$, \dots, and Fraktur
+letters $\da$, $\de$, $\dF$, \dots\thinspace.
+
+\noindent
+{\bf b) Formulas (Begriffsschrift).}\
+The following notation is used by Frege to build formulas:
+\smallskip
+\+&{\it Content stroke\/}: \*---\ze{$\gA$}.
+ &&{\it Judgment\/}: \*[--\ze{$\gA$}.\cr
+\smallskip
+\+&{\it Negation\/}: \*-~-\ze{$\gA$}.
+ &&{\it Affirmation\/}: \*-+-\ze{$\gA$}.\cr
+ \smallskip
+\+&{\it Condition\/}: \frege .{..\gB.\gA}.
+ &&{\it Generality\/}: \frege .{*.a.{\gF(\da)}}.\cr
+\+&{\it Condition stroke\/}: \*_!_.
+ &&{\it Definition\/}: \*"3- $((\gA)\equiv\gB)$.\cr
+\smallskip
+\+&{\it Substitution\/}: $a$\*_|_$f(a)$.\cr
+
+\noindent
+{\bf c) Inferences (Begriffsschrift).}\
+For inferences two types of lines are used:
+\smallskip
+\+&{\it Single line\/}: \*---\*---.
+ &&{\it Double lines\/}: \*===\*===.\cr
+\smallskip
+\+&{\it Separator between inference chains\/}:\cr
+\decollator4
+
+\noindent
+{\bf d) Terminal symbols (Begriffsschrift).}\
+Four special constructions appear in the {\it Begriffsschrift\/}:
+\smallskip
+\+&$\gfvererbe\kd\ka{{x(\ka)}}{{f(\kd,\ka)}}$, \quad$\gffolgt\kg\kb{f(x_\kg,y_\kb)}$,
+\quad$\gfgehoertan\kg\kb{f(x_\kg,z_\kb)}$, \quad$\gfeindeutig\kd\ke{f(\kd,\ke)}$.\cr
+
+\toggleGGstyle
+\gfbskeinekompaktehoehlungtrue
+\noindent
+{\bf e) Formulas (Grundgesetze).}\
+The following notation is used by Frege to build formulas:
+\smallskip
+\+&{\it Content stroke\/}: \frege.{=.\gA}.
+ &&{\it Judgment\/}: \frege|{=.\gA}.\cr
+\smallskip
+\+&{\it Negation\/}: \frege.{=-\gA}.
+ &&{\it Affirmation\/}: \frege.{=+\gA}.\cr
+ \smallskip
+\+&{\it Condition\/}: \frege .{..\gB.\gA}.
+ &&{\it Generality\/}: \frege .{*.a.{\gF(\da)}}.\cr
+\+&{\it Condition stroke\/}: \*_!_.
+ &&{\it Definition\/}: \*"39 $\gA=\gB$.\cr
+
+\noindent
+{\bf f) Inferences (Grundgesetze).}\
+For inferences eight types are used:
+\smallskip
+\+&{\it Single line\/}: \*?--\*?--.
+ &&{\it Double lines\/}: \*?==\*?==.\cr
+\smallskip
+\+&{\it Dashed line\/}: \*?-_\*?-_.
+ &&{\it Dashed double lines\/}: \*?=_\*?=_.\cr
+\smallskip
+\+&{\it Single/double line\/}: \*?=*\*?=*.
+ &&{\it Dot/dashed line\/}: \*?.-\*?.-.\cr
+\smallskip
+\+&{\it Contraposition\/}: \*?>x.
+ &&{\it Quantification\/}: \*?>u.\cr
+\smallskip
+\+&{\it Separator\/}: \gfggtrenner.\cr
+
+\noindent
+{\bf g) Special symbols (Grundgesetze).}\
+Several special characters appear in the {\it Grundgesetze\/}:
+\smallskip
+\+&{\it symbols\/}: $\Gbf$ \G0 \G1 $\Guu$\cr
+\smallskip
+\+&{\it unary operators\/}: \G! $\kasl$ \GI\ $\G>$ \G- \G~ $\G*$
+                            $\G6$ $\Gf$ $\Gp$ $\GUorg$ $\Gnorg$
+&&&{\it last two from the fge fonts\/}: $\GU$ $\Gn$\cr
+\smallskip                            
+\+&{\it binary operators\/}: $\G^$ $\G_$ $\G;$ $\Gfm$ $\Gsm$
+                             $\G<$ $\Gmf$ $\Gl$
+&&&{\it rotated\/}: $\Gy$ $\Ge$ $\Gc$ $\GF$ $\Gss$\cr
+\toggleGGstyle
+
+
+% %%%%%%%%%%%
+\beginsection 3. How to load the package
+
+The package requires characters that come with \AmSTeX\ (see [3]);
+the following statement must be given before the package is loaded:
+¤\input amssym.def¤.  Then the package is loaded with the statement
+¤\input GFnotation¤.
+
+The package has two styles: the one that is used in the {\it
+Begriffsschrift\/} and the one that is used in the {\it Grundgesetze}.
+If you want to work with the style of the {\it Grundgesetze\/} several
+external flags are available.
+
+First, if only inferences without substitutions are needed the line
+¤\let\nosubst=t¤ should be entered before ¤GFnotation¤ is loaded. This
+avoids typesetting errors and saves some \TeX\ registers.  Second, the
+flag ¤\let\showrotation=t¤ can be set to output some terminal symbols
+of the {\it Grundgesetze\/} rotated. Then ¤\input rotate¤ (see [4])
+must be stated too.  Otherwise the symbols are not shown as rotated
+symbols (some DVI screen drivers can't do PS-rotation). The affected
+symbols are shown in Section~2g.  Third, the flag
+¤\let\fgefontsknown=t¤ can be set to indicate that the fge-fonts by
+J.~J.~Green (see~[5]) are available. Then some symbols of these fonts
+are used in the output. The affected symbols are shown in Section~2g.
+
+After the package has been loaded two flags can be set (independent of the
+style).
+\item{1.}¤\gfbslognotationtrue¤ writes all formulas, which are given in the
+short form, in their symbolic representation into the log file of the
+\TeX\ run.
+\item{2.}¤\gfbszeigestatstrue¤ writes a \TeX\ message for each formula in
+short form if its number of lines is a new maximum.
+
+By default the package activates the style that is used in the {\it
+Begriffsschrift}. To switch to the style of the {\it Grundgesetze\/}
+the global acting command ¤\toggleGGstyle¤ shall be given.
+
+Therefore a typical start is coded in the following way if the style
+of the {\it Begriffschrift\/} is required:
+\verbatim
+\input amssym.def
+\input GFnotation
+\gfbslognotationtrue % log short form formulas in symbolic representation
+\gfbszeigestatstrue  % inform about maximum number of lines of short form formulas
+\endverbatim
+
+Otherwise, the style of the {\it Grundgesetze\/} is started with
+\verbatim
+\input amssym.def
+%%% external flags:
+\let\nosubst=t       % substitutions aren't needed
+\let\showrotation=t \input rotate % activate this line if PS-rotation works
+%\let\fgefontsknown=t % activate this line if the fge-fonts are available
+\input GFnotation
+%%% internal flags:
+\gfbslognotationtrue % log short form formulas in symbolic representation
+\gfbszeigestatstrue  % inform about maximum number of lines of short form formulas
+%%% define the style of the output:
+\toggleGGstyle       % use the style of the Grundgesetze
+\endverbatim
+
+
+% %%%%%%%%%%%
+\beginsection 4. Shortcuts for letters
+
+The characters that Frege used (except the roman letters) are coded
+with two letter shortcuts.  The first letter indicates how the second
+letter is output.  Uppercase Greek letters are introduced by `g',
+lowercase Greek letters by `k', and the Fraktur letters by `d':
+¤$\gA$¤ outputs~$\gA$, ¤$\ka$¤ outputs~$\ka$, and ¤$\da$¤
+outputs~$\da$.
+
+Here is the list of the uppercase Greek letters; the coding follows~[6].
+\smallskip
+\+&¤$\gA$¤: $\gA$&  ¤$\gB$¤: $\gB$&  ¤$\gG$¤: $\gG$&  ¤$\gD$¤: $\gD$&  ¤$\gE$¤: $\gE$\cr
+\+&¤$\gZ$¤: $\gZ$&  ¤$\gH$¤: $\gH$&  ¤$\gJ$¤: $\gJ$&  ¤$\gI$¤: $\gI$&  ¤$\gK$¤: $\gK$\cr
+\+&¤$\gL$¤: $\gL$&  ¤$\gM$¤: $\gM$&  ¤$\gN$¤: $\gN$&  ¤$\gX$¤: $\gX$&  ¤$\gO$¤: $\gO$\cr
+\+&¤$\gP$¤: $\gP$&  ¤$\gR$¤: $\gR$&  ¤$\gS$¤: $\gS$&  ¤$\gT$¤: $\gT$&  ¤$\gU$¤: $\gU$\cr
+\+&¤$\gF$¤: $\gF$&  ¤$\gQ$¤: $\gQ$&  ¤$\gY$¤: $\gY$&  ¤$\gW$¤: $\gW$\cr
+
+For the Fraktur letters only a subset of the alphabets is provided;
+these are the letters that appear in the {\it Begriffsschrift\/} or in
+part~1 of Vol.~1 of the {\it Grundgesetze\/}:
+\smallskip
+\+&¤$\da$¤: $\da$&  ¤$\dc$¤: $\dc$&  ¤$\dd$¤: $\dd$&  ¤$\de$¤: $\de$&  ¤$\df$¤: $\df$\cr
+\+&¤$\dg$¤: $\dg$&  ¤$\dm$¤: $\dm$&  ¤$\dn$¤: $\dn$&  ¤$\ddo$¤: $\ddo$&¤$\ddp$¤: $\ddp$\cr
+\+&¤$\dq$¤: $\dq$&  ¤$\dr$¤: $\dr$&  ¤$\dt$¤: $\dt$&  ¤$\du$¤: $\du$&  ¤$\dF$¤: $\dF$\cr
+
+{\it Note\/}: Commands like ¤\dp¤ or ¤\do¤ shouldn't change their
+plain \TeX\ meaning. Therefore the commands for the letters `o' and
+`p' are build with two `d's.
+
+\begingroup\def\ds{{\frak s}} % keep this definition local
+You can add more letters using a simple
+¤\def¤. For example, to add $\ds$ declare ¤\def\ds{{\frak s}}¤.
+\endgroup
+
+
+% %%%%%%%%%%%
+\beginsection 5. Input of formulas using the
+                 ``symbolic representation'' (Begriffsschrift)
+
+This input format gives complete control over the output of the
+formulas.  But it requires some amount of typing.  All formulas are
+built from symbols and three of them are grouped into the argument of
+a control symbol.  The control symbol is the ¤\*¤.  (The original
+meaning as discretionary multiplication is kept in the new control
+word ¤\discretionarytimes¤.)
+
+In total there are 35 symbols. In the following list the parentheses
+contain the sequence ¤\*"#"¤ if symbol `{\tt\#}' is explained.  The
+first collection lists the important symbols that are used for
+hand-coding the formulas in Frege's notation.
+\smallskip
+% 11 symbols
+\item{\tt\char95 }(\*"_") is the empty space;
+\item{\tt-}(\*"-") is a horizontal line for the content stroke and the inference rule;
+\item{\tt\~}(\*"~") is a horizontal line with centered negation;
+\item{\tt+}(\*"+") is a horizontal line with two centered negation indicators (affirmation);
+\item{\tt:}(\*":") is the then-part of the condition;
+\item{\tt'}(\*"'") is the if-part of the condition;
+\item{\tt!}(\*"!") is a vertical line for the condition stroke;
+\item{\tt[}(\*"[") is a vertical line placed left and starts a horizontal line;
+\item{\tt|}(\*"|") is the vertical line for the substitution;
+\item{\tt3}(\*"3") are two vertical lines used for {\it definitions\/};
+\item{\tt=}(\*"=") are two horizontal lines.
+
+\smallskip\noindent
+The following symbols extend the basic list and can be used to
+fine-tune the output.
+\smallskip
+% 8 symbols (sum=19)
+\item{\tt"}(\*""") is a skip, that is, no output at all;
+\item{\tt(}(\*"(") negation but the indication of negation is moved to the left;
+\item{\tt)}(\*")") negation with the indicator moved to the right;
+\item{\tt<}(\*"<") negation: the indicator is placed at the left end;
+\item{\tt>}(\*">") negation: the indicator is placed at the right end;
+\item{\tt\^{}}(\*"^") affirmation with indicators moved to the left;
+\item{\tt/}(\*"/") affirmation with indicators moved to the right;
+\item{\tt]}(\*"]") is a vertical line placed right, that is, only the judgment stroke is printed.
+
+For the generality a letter must be given. Therefore the parentheses
+contain the sequence ¤\*#a.¤ (¤\*@a"¤ for {\tt @}). Instead of the
+letter `a' any other letter can be used that is available in the
+Fraktur font (see Section~4).  A triple for the generality must be
+started with one of the following symbols {\tt.,`;@}.  If it is not
+the {\tt @} then the symbol after the letter must be one of
+{\tt.,`;}\thinspace.
+\smallskip
+% 5 symbols (sum=24)
+\item{\tt.}(\*.a.) is a short vertical line;
+\item{\tt,}(\*,a.) is a short vertical line with a centered negation indicator;
+\item{\tt`}(\*`a.) represents negation but the indicator is moved to the left;
+\item{\tt;}(\*;a.) is a short vertical line with affirmation;
+\item{\tt @}(\*@a") signals (without any output) that a letter for the generality follows.
+
+{\it Note\/}: The letter `{\tt\ss}' is special. It uses the content of
+the token register ¤\dsz¤. For example, with the default ¤\dsz={\xi}¤
+¤\*.¤{\tt\ss}¤.¤ outputs \*.ß.. Of course, {\tt\ss} must be a letter
+so for plain \TeX\ the command ¤\catcode`\¤{\tt\ss}¤=11¤ must be
+entered before ¤\input GFnotation¤ is done.
+
+\Example1
+The formula \
+\vtop{%
+  \hbox{\strut\*[-:\*--- $\gA$}
+  \hbox{\strut\*__'\*.a. $f(\da)$}}
+of Section~1 can be coded in the following way:
+\verbatim
+\vtop{%
+  \hbox{\strut\*[-:\*--- $\gA$}
+  \hbox{\strut\*__'\*.a. $f(\da)$}}
+\endverbatim\Eend1
+
+The last list contains symbols that are used by the short form. The
+symbols do not try to have a mnemonic representation for their
+output. Most of these symbols can ``change'' and stand for one of two
+symbols from the above lists.
+\smallskip
+% 11 symbols (sum=35)
+\item{\tt0}negation either moved to the left or the right: {\tt0=()}
+\item{\tt1}affirmation: {\tt1=\^{}/}
+\item{\tt2}again affirmation: {\tt2=\^{}+}
+\item{\tt4}not required content strokes: {\tt4=-"}
+\item{\tt5}not required empty space: {\tt5=\char95"}
+\item{\tt6}judgment strokes: {\tt6=[]}
+\item{\tt7}negated generality: {\tt7=`,}
+\item{\tt8}again negation: {\tt8=<\~{}}
+\item{\tt9}represents a content stroke that has only one third of its usual length;
+\item{\tt*}is a skip whose length is multiplied by $5/3$ to get back into alignment after a {\tt9}; 
+\item{\tt\$} is used only with a generality and represents either a short content stroke or an empty space.
+
+
+% %%%%%%%%%%%
+\beginsection 6. Input for inference chains in the
+                 ``symbolic representation'' (Begriffsschrift)
+
+In order to typeset complete inferences several formulas must be
+positioned in a chain and the rule for the inference has to be entered.
+The construction of Example~1 with ¤\vtop¤, ¤\hbox¤, and ¤\strut¤ is
+shortened to a single command ¤\nlp¤. The terminal symbols become
+an argument of a second command ¤\ce¤.
+\smallskip
+\item{1.}¤\nlp<n>¤ starts a new line and sets the following text {\tt<n>} units to the right;
+\item{2.}¤\ce{<s>}¤ outputs the string {\tt<s>} with some spacing at the end of a line.
+
+\Example2
+This is the implementation of the inference in Section~1, that is
+\nlp4\*_[-\*-:-\ce{$\gA$}
+\nlp4\*___\*_'-\ce{$\gB$}
+\nlp4\*_[-\*---\ce{$\gB$}
+\nlp4\*---\*---\*---
+\nlp4\*_[-\*---\ce{$\gA$}\qquad:
+\smallskip
+\verbatim
+\nlp4\*_[-\*-:-\ce{$\gA$}
+\nlp4\*___\*_'-\ce{$\gB$}
+\nlp4\*_[-\*---\ce{$\gB$}
+\nlp4\*---\*---\*---
+\nlp4\*_[-\*---\ce{$\gA$} .
+\endverbatim\Eend1
+
+\noindent
+For complete inferences with substitutions more commands are
+required:
+\smallskip
+\item{3.}¤\ci{<s>}¤ is like ¤\ce¤ but must be used in the line and spaces that follow are ignored;
+\item{4.}¤\nlpc<n>{<s>}¤ acts like ¤\nlp<n>¤ and sets the string {\tt<s>} to the left in the white space;
+\item{5.}¤\fono{<m>}¤ outputs {\tt<m>} as the number of the formula at the right end of the previous line;
+\item{6.}¤\rep<n><f>¤ repeats the ¤\*¤-formula {\tt<f>} {\tt<n>} times;
+\item{7.}¤\bcc<n>/<p><m>:<c><f>\ecc¤ typesets an inference rule.
+{\tt<n>} is the position to the right, {\tt<m>} is a formula number used in the inference,
+and {\tt<f>} is the rule itself. The parameter {\tt<p>} is either `l', 'm', or `r' to
+position the formula number to the left, in the middle, or to the right.
+And {\tt<c>} is either `.'\ or `:'\ to output one or two colons after the formula number.
+
+\Example3
+The following code
+\Epause
+\verbatim
+     \nlp4\ci{\hss\thinspace58\hss}\rep3\*___\*_[-\*-:-\*---\*-:-\ce{$f(b)$}        
+\nlpc4{$f(A)$}\*_|_\*-:-\ci{$f(A)$}\rep2\*___\*_!_\*___\*_'-\ce{$g(b)$}        
+         \nlp4\*_|_\*_'-\ci{$g(A)$}\rep2\*___\*_'-\*.a.\*-:-\ce{$f(\da)$}      
+   \nlpc4{$c$}\*_|_\ci{$b$}        \rep3\*___\*___\*___\*_'-\ce{$g(\da)$}      
+        \bcc4/m30:.\rep3\*___\null      \rep6\*---\ecc
+   \nlpc4{$a$}\*_|_\ci{$f(b)$}     \rep2\*___\*_[-\*-:-\*-:-\*,a.\*-:-\ce{$f(\da)$} 
+   \nlpc4{$c$}\*_|_\ci{$g(b)$}     \rep2\*___\*___\*_!_\*_!_\*___\*_'-\ce{$g(\da)$} 
+   \nlpc4{$b$}\*_|_\*.a.\*-:-\ci{$f(\da)$}   \*___\*_!_\*_'-\*---\*--(\ce{$f(b)$}   
+         \nlp4\*_|_\*___\*_'-\ci{$g(\da)$}   \*___\*_'-\*---\*---\*---\ce{$g(b)$}   
+\fono{59}
+\endverbatim\Econt
+
+outputs formula~59 of the {\it Begriffsschrift}:
+\smallskip
+     \nlp4\ci{\hss\thinspace58\hss}\rep3\*___\*_[-\*-:-\*---\*-:-\ce{$f(b)$}        
+\nlpc4{$f(A)$}\*_|_\*-:-\ci{$f(A)$}\rep2\*___\*_!_\*___\*_'-\ce{$g(b)$}        
+         \nlp4\*_|_\*_'-\ci{$g(A)$}\rep2\*___\*_'-\*.a.\*-:-\ce{$f(\da)$}      
+   \nlpc4{$c$}\*_|_\ci{$b$}        \rep3\*___\*___\*___\*_'-\ce{$g(\da)$}      
+        \bcc4/m30:.\rep3\*___\null      \rep6\*---\ecc
+   \nlpc4{$a$}\*_|_\ci{$f(b)$}     \rep2\*___\*_[-\*-:-\*-:-\*,a.\*-:-\ce{$f(\da)$} 
+   \nlpc4{$c$}\*_|_\ci{$g(b)$}     \rep2\*___\*___\*_!_\*_!_\*___\*_'-\ce{$g(\da)$} 
+   \nlpc4{$b$}\*_|_\*.a.\*-:-\ci{$f(\da)$}   \*___\*_!_\*_'-\*---\*--(\ce{$f(b)$}   
+         \nlp4\*_|_\*___\*_'-\ci{$g(\da)$}   \*___\*_'-\*---\*---\*---\ce{$g(b)$}   
+\fono{59}\Eend0
+
+\noindent
+One more command is required for collections of inferences:
+\item{8.}¤\decollator<l>¤ outputs a thick line of width ¤0.<l>\hsize¤. The line is
+centered. It is preceded and followed by vertical space.
+
+\Example4
+Here are some inferences of the {\it Begriffsschrift\/}:
+\outof p3,0"1"with\thatis
+\formula p9|{..{..a.b}.a}
+\followswith p3"8"a.p8s5
+\substituting p3 d:a \whichgives
+\formula p9|{..{..a.a}.b}
+\named "26"
+\decollator4
+\outof p3,0"26"with b:{..{..a.b}.a} \thatis
+\formula p8|{..{=.{..a.a}}.{..{..a.b}.a}}
+\followswith p3"1"a:p8s5
+\formula p8|{=.{=.{..a.a}}}
+\named "27"
+
+The command ¤\decollator4¤ appears after formula~26.
+\Eend0
+
+
+% %%%%%%%%%%%
+\beginsection 7. Input of formulas using the ``short form'' 
+
+This input format reduces the amount of typing compared to the
+symbolic representation.  It follows given rules and produces as an
+intermediate step the code of the symbolic representation.
+
+The input is recursively entered using four constructions:
+\smallskip
+\item{1.}{\tt=<}sign{\tt>\char"7B<}formula{\tt>\char"7D} to add a
+signed content stroke in front of a formula;
+\item{2.}{\tt<}sign{\tt><}sign{\tt>\char"7B<}formula{\tt>\char"7D<}%
+                          sign{\tt>\char"7B<}formula{\tt>\char"7D}
+to build a signed condition from two signed formulas;
+\item{3.}{\tt*<}sign{\tt><}character{\tt><}sign{\tt>\char"7B<}%
+                           formula{\tt>\char"7D} to add a signed
+concavity in front of a signed formula;
+\item{4.}{\tt!\char92<}nameofdef{\tt><}arguments{\tt>} to insert a
+previously defined subformula.
+
+\noindent
+Here {\tt<}formula{\tt>} is either a valid formula constructed with
+the four rules or a terminal string (both are typeset in math mode)
+and {\tt<}sign{\tt>} is one of the following symbols:
+\item{\tt.} represents no sign;
+\item{\tt-} represents the negation;
+\item{\tt+} represents the affirmation.
+
+In rule~4 {\tt<}nameofdef{\tt>} is together with the preceding
+backslash a defined control word that has at most three arguments
+given in {\tt<}arguments{\tt>}.  The control word must define a part
+of a formula.  This rule implements {\sl macro expansion\/} to avoid
+retyping of often used parts in formulas.
+
+Most formulas are created by rules~2 and~3; rule~1 is only needed to
+type a single line.
+
+{\it Important note\/}: The braces around {\tt<}formula{\tt>} can be
+omitted if the formula is a terminal string that consists of a single
+token. Double curly braces are required around terminal strings that
+have more than five tokens.  But single braces must always be used for
+formulas in rules 1--3, which are not terminal strings.  (In Example~5
+below case~i shows that a single token needs no braces.  The cases ii
+and~iii show the use of single and double curly braces.)
+
+Formulas that are created by the above rules must be given to the
+following commands:
+\smallskip
+\item{1.}¤\frege<j>{<f>}¤ where {\tt<f>} is a formula created by the above
+stated rules and {\tt<j>} is either `{\tt.}'\ or `{\tt|}'.
+\item{2.}¤\formula p<n><j>{<f>}¤ adds a position parameter {\tt<p>} to
+move the formula {\tt<n>} units to the right.
+
+\noindent
+The formula {\tt<f>} is output as a judgment if {\tt<j>} equals
+{\tt|}.  The command ¤\frege¤ shall be used in running text,
+¤\formula¤ in vertical mode. But ¤\frege¤ doesn't start a paragraph;
+use ¤\indent¤ (or ¤\noindent¤) if ¤\frege¤ is the first item
+in a paragraph.
+
+\Example5
+\def\0#1{*.a.{#1(\da)}}
+Here are a few examples for all four rules:
+\smallskip
+\advance\leftskip by 20pt
+\item{i)}¤\frege|{=-\gA}¤ outputs \frege|{=-\gA}.
+\item{ii)}¤\frege.{-.\gA-{{g(\ka,\kb)}}}¤ outputs \frege.{-.\gA-{{g(\ka,\kb)}}}.
+\item{iii)}¤\frege.{*-a+{f(\da)}}¤ outputs \frege.{*-a+{f(\da)}}.
+\item{iv)}¤\def\0#1{*.a.{#1(\da)}}¤ together with ¤\frege|{-.\gA-{!\0f}}¤
+outputs \frege|{-.\gA-{!\0f}}.
+\smallskip
+\advance\leftskip by -20pt
+The output of iv) is nearly the formula of Section~1 (\frege|{..\gA.{!\0f}});
+it can be coded (without ¤\0¤) as ¤\frege|{..\gA.{*.a.{f(\da)}}}¤.
+\Eend0
+
+Of course, a formula in Frege's notation that has several lines is not
+easy to read in a sequential form. The periods and braces do not help
+to make the structure of that formula easy to recognize.
+I suggest to copy a Frege formula from left to right and from bottom
+to top and to use more than one line for the sequential coding.
+
+\Example6
+This example shows how to construct in a structured manner the short
+form of a given formula, which is written in Frege's notation.
+The formula is \frege|{.-{..\gA.\gB}.{*.a.{..\gG-\gD}}}.
+
+Step~1: The formula is a judgment and starts at the left with a
+condition, whose upper line contains a negation indicator.
+So the coding starts with
+\verbatim
+\frege|{.-{}.{}}
+\endverbatim
+
+Or write it in two lines to make the structure visible:
+\verbatim
+\frege|{.-{}
+         .{}}
+\endverbatim
+
+Step~2: The bottom part starts with a concavity, so the input becomes
+\verbatim
+\frege|{.-{}
+         .{*.a.{}}}
+\endverbatim
+
+Step~3: A simple condition comes after the concavity
+\verbatim
+\frege|{.-{}
+         .{*.a.{..\gG-\gD}}}
+\endverbatim
+
+And the final step is to add the condition in the upper part:
+\verbatim
+\frege|{.-{..\gA.\gB}
+         .{*.a.{..\gG-\gD}}}
+\endverbatim
+\medskip
+{\it Note\/}: The input
+\verbatim
+\frege|{..{-.\gA.\gB}
+         .{*.a.{..\gG-\gD}}}
+\endverbatim
+outputs
+\frege|{..{-.\gA.\gB}
+         .{*.a.{..\gG-\gD}}},
+which looks very similar to the given formula but, of course,
+the negation indicator in the upper part has moved a little bit
+to the right.
+\Eend0
+
+
+% %%%%%%%%%%%
+\beginsection 8. Inferences of the Begriffsschrift in the ``short form'' 
+
+Five commands are available to typeset inferences with the short form:
+\smallskip
+\item{1.}¤\outof p<n>,<o>"<m>"with<r>\thatis¤ starts the inference chain.
+The parameter {\tt<n>} is the number of units the output is moved to
+the right, {\tt<m>} is a number of a formula, {\tt<o>} is an offset to
+position the number {\tt<m>} {\tt<o>} lines lower, and {\tt<r>} is
+either empty or a space separated list of pairs {\tt v:F} to indicate
+the substitution of {\tt v} by the formula {\tt F}.
+\item{2.}¤\use p<n>"<m>"¤ is a shortcut of ¤\outof¤ if the parameters {\tt<o>}
+and {\tt<r>} are not needed; {\tt<o>} is set 0 and {\tt<r>} is empty.
+\item{3.}¤\followswith p<n>"<m>"a<c>p<N>s<l>¤ draws the inference rule and
+can be expressed in the ¤\bcc¤ macro of Section~6, no~7, as
+¤\bcc{<n>}/m{<m>}:<c>\rep(<N>-<n>)\*___\rep{<l>}\*---\ecc¤.
+\item{4.}¤\substituting p<n> <r>\whichgives¤ has the usual position parameter
+{\tt<n>} and a list of substitutions {\tt<r>} in the above described form {\tt
+v:F}.
+\item{5.}¤\named "<m>"¤ outputs the number {\tt<m>} as the number of the
+previous formula.
+
+An inference chain is typically typed with the sequence:
+\verbatim
+\outof ... with ... \thatis
+\formula ...
+\followswith ...
+\substituting ... \whichgives
+\formula ...
+\named ...
+\endverbatim
+
+\noindent
+or if no substitution in the first formula is required, the ¤\outof¤ line
+is replaced by the simpler ¤\use¤.
+
+\Example7
+The formula of Example~3
+\smallskip
+\outof p4,0"58"with f(A):{..{f(A)}.{g(A)}}
+                       c:b
+\thatis
+\formula p8|{..{..{f(b)}.{g(b)}}
+              .{*.a.{..{f(\da)}.{g(\da)}}}}
+\followswith p4"30"a.p8s6
+\substituting p4 a:{f(b)}
+                 c:{g(b)}
+                 b:{*.a.{..{f(\da)}.{g(\da)}}}
+\whichgives
+\formula p8|{..{..{*-a.{..{f(\da)}.{g(\da)}}}
+                 -{f(b)}}
+              .{g(b)}}
+\named "59"
+
+\bigskip
+has this coding:
+\verbatim
+\outof p4,0"58"with f(A):{..{f(A)}.{g(A)}}
+                       c:b
+\thatis
+\formula p8|{..{..{f(b)}.{g(b)}}
+              .{*.a.{..{f(\da)}.{g(\da)}}}}
+\followswith p4"30"a.p8s6
+\substituting p4 a:{f(b)}
+                 c:{g(b)}
+                 b:{*.a.{..{f(\da)}.{g(\da)}}}
+\whichgives
+\formula p8|{..{..{*-a.{..{f(\da)}.{g(\da)}}}
+                 -{f(b)}}
+              .{g(b)}}
+\named "59"
+\endverbatim\Eend1
+
+
+% %%%%%%%%%%%
+\beginsection 9. Terminal symbols of the Begriffsschrift
+
+In part~3 of the {\it Begriffsschrift\/} four symbols are
+defined. They are available as \TeX\ commands. The commands get more
+flexibility than the {\it Begriffsschrift\/} requires as all possible
+content can be addressed by parameters.
+
+\item{1.}¤\gfvererbe¤ with four parameters:
+¤$\gfvererbe\kd\ka{x(\ka)}{f(\kd,\ka)}$¤ outputs
+$\gfvererbe\kd\ka{x(\ka)}{f(\kd,\ka)}$.
+\item{2.}¤\gffolgt¤ with three parameters:
+¤$\gffolgt\kg\kb{f(x_\kg,y_\kb)}$¤ outputs $\gffolgt\kg\kb{f(x_\kg,y_\kb)}$.
+\item{3.}¤\gfgehoertan¤ with three parameters:
+¤$\gfgehoertan\kg\kb{f(x_\kg,z_\kb)}$¤ outputs
+$\gfgehoertan\kg\kb{f(x_\kg,z_\kb)}$.
+\item{4.}¤\gfeindeutig¤ with three parameters:
+¤$\gfeindeutig\kd\ke{f(\kd,\ke)}$¤ outputs $\gfeindeutig\kd\ke{f(\kd,\ke)}$.
+
+\noindent
+I use shortcuts for these special terminal symbols and reduce the
+number of parameters to the amount that is used in the text;
+see Example~11 below.
+
+
+% %%%%%%%%%%%
+\beginsection 10. Output style of the Grundgesetze
+
+\toggleGGstyle
+Frege made changes to the notation in his main work. A command and
+several flags are defined to switch from the style of the {\it
+Begriffsschrift\/} to the style of the {\it Grundgesetze}.
+\smallskip
+\item{1.}¤\toggleGGstyle¤ switches the styles; the default is the style of
+the {\it Begriffsschrift}. Several of the changes are global so even
+if the switch is made inside a group it shall be called a second time
+to switch it back. This happens when it is called for the first time:
+\itemitem{a)}¤\gfbsuseGGstyletrue¤ is set. Together with a call to
+¤\gfbsneuestriche¤ the thickness of the lines is changed.
+\itemitem{b)}¤\gfbskompakttrue¤ is set. This reduces the width of the formulas
+that are input with the short form.
+\itemitem{c)}¤\gfggschlussweisetrue¤ is set. This activates more symbols
+to express the eight inferences of the {\it Grundgesetze\/} (see Section~12).
+\itemitem{d)}¤\gfbsfonoohnepunkttrue¤ is set. No period after the number of
+a formula is set in ¤\fono¤ or ¤\named¤.
+\itemitem{e)}¤\gfbsnegdirekttrue¤ is set. The negation indicator touches
+the content stroke.
+\item{2.}The flags can be set individually, for example, to get a compact output
+but keep the line thicknesses etc.\ of the {\it Begriffsschrift}.
+\item{3.}To control the compact output of the generality when the flag
+¤\gfbskompakttrue¤ is set more flags are available. Examples are given to
+show how these flags influences the output.
+\itemitem{$\alpha$)}The output is not compact if ¤\gfbskeinekompaktehoehlungtrue¤
+is set. At the left the flag is false and at the right true; the source code
+is ¤\frege|{..{*-a.{\gY(\da)}}.{*.e.{\gF(\de)}}}¤:
+\smallskip\indent\indent
+{\gfbskompakttrue \gfbskeinekompaktehoehlungfalse
+\frege|{..{*-a.{\gY(\da)}}.{*.e.{\gF(\de)}}}
+}\quad
+{\gfbskompakttrue \gfbskeinekompaktehoehlungtrue
+\frege|{..{*-a.{\gY(\da)}}.{*.e.{\gF(\de)}}}
+}.
+\itemitem{$\beta$)}The output of the short form rule~1 (with the {\tt=}) can
+have no effect except if the flag named ¤\gfbsaussagesichtbartrue¤ is set.
+At the left the flag is false and at the right true; the line reads
+¤\frege.{=.a} vs \frege.{=.{=.a}}¤:
+{\gfbskompakttrue \gfbsaussagesichtbarfalse
+\frege.{=.a} vs \frege.{=.{=.a}}
+}\quad
+{\gfbskompakttrue \gfbsaussagesichtbartrue
+\frege.{=.a} vs \frege.{=.{=.a}}
+}
+
+{\it Note\/}: Both input forms, the symbolic representation and the
+short form, can be used with this style. But only the short form
+creates smaller formulas if ¤\gfbscompakttrue¤ is set. The width of a
+formula in symbolic representation must be changed manually if it is
+not coded with the symbols of the last list in Section~5.
+
+\Example8
+Here is the example of Sections 1 and~5; it is coded in the
+short form as ¤\frege|{..\gA.{*.a.{f(\da)}}}¤:
+\frege|{..\gA.{*.a.{f(\da)}}}.
+\Eend0
+
+
+% %%%%%%%%%%%
+\beginsection 11. Setting formulas in parentheses and brackets (Grundgesetze)
+
+In the {\it Grundgesetze\/} some formulas must be placed in
+parentheses or brackets. A few commands are provided to make this an
+easy task.
+\smallskip
+\item{1.}¤\pfrege<x><j>{<f>}¤ acts like ¤\frege<j>{<f>}¤ and adds parentheses around
+this formula. The result is stored in a box with the number {\tt<x>}. In total
+there are four boxes for this task.
+\item{2.}¤\bfrege<y><j>{<f>}¤ is like ¤\pfrege¤ but the formula is placed between
+brackets. The pool of boxes is independent from the ¤\pfrege¤ boxes and there are
+four boxes.
+\item{3.}¤\pparens<x><M>¤ places the math {\tt<M>} with parentheses in the box
+numbered {\tt<x>}. The boxes are taken from the pool that is available for
+¤\pfrege¤.
+\item{4.}¤\bparens<y><M>¤ acts like ¤\pparens¤ but it uses brackets and the
+pool of boxes of ¤\bfrege¤.
+\item{5.}¤\pfbox<x>¤ outputs box number {\tt<x>} from the ¤\pfrege¤ pool.
+\item{6.}¤\bfbox<y>¤ outputs the box {\tt<y>} from the pool used by ¤\bfrege¤.
+
+\Example9
+The following formula appears on page~115 of the {\it Grundgesetze},
+vol.~1.
+\Epause
+\smallskip
+\begingroup
+\pfrege1.{.-{\ke=c}.{\ke\G^v}}
+\pfrege2.{.-{\ke=b}.{\ke\G^u}}
+\bfrege1.{-.{\ke=n}.{{\ke\G^\kesl\pfbox1}}}
+\bfrege2.{-.{\ke=m}.{{\ke\G^\kesl\pfbox2}}}
+\bfrege3.{--{{\ke\G^(\ka\G^q)}}-{..{\ke=b}-{\ka=c}}}
+\pfrege1.{-.{\ke=n}.{{\ke\G^\kesl\pfbox1}}}
+\pfrege2.{-.{\ke=m}.{{\ke\G^\kesl\pfbox2}}}
+\pparens3{\kesl\bfbox1\G^\G>q}
+\pparens4{\bfbox1\G^\G>\kasl\kesl\bfbox3}
+
+$$\frege|{..{..{..{{\kesl\pfbox2\G^\pfbox4}}
+                 -{{b\G^\kesl\pfbox2}}}
+              -{{c\G^\kesl\pfbox1}}}
+           .{{\kesl\pfbox2\G^\pfbox3}}}
+$$
+\endgroup
+\Econt
+And here is the source:
+\verbatim
+\pfrege1.{.-{\ke=c}.{\ke\G^v}}
+\pfrege2.{.-{\ke=b}.{\ke\G^u}}
+\bfrege1.{-.{\ke=n}.{{\ke\G^\kesl\pfbox1}}}
+\bfrege2.{-.{\ke=m}.{{\ke\G^\kesl\pfbox2}}}
+\bfrege3.{--{{\ke\G^(\ka\G^q)}}-{..{\ke=b}-{\ka=c}}}
+\pfrege1.{-.{\ke=n}.{{\ke\G^\kesl\pfbox1}}}
+\pfrege2.{-.{\ke=m}.{{\ke\G^\kesl\pfbox2}}}
+\pparens3{\kesl\bfbox1\G^\G>q}
+\pparens4{\bfbox1\G^\G>\kasl\kesl\bfbox3}
+\endverbatim\smallskip\verbatim
+$$\frege|{..{..{..{{\kesl\pfbox2\G^\pfbox4}}
+                 -{{b\G^\kesl\pfbox2}}}
+              -{{c\G^\kesl\pfbox1}}}
+           .{{\kesl\pfbox2\G^\pfbox3}}}
+$$\endverbatim\Eend1
+
+
+% %%%%%%%%%%%
+\beginsection 12. Inferences of the Grundgesetze
+
+The list entry~1c of Section~10 needs some explanation as it extends
+the list of available symbols for inferences. Two of the symbols have
+no output ({\tt?}\ and {\tt>}). In the following list the text in
+parentheses contains the sequence ¤\*?#"¤ or ¤\*?>#¤ for the symbol
+`{\tt\#}'.
+\smallskip
+\item{\tt ?} (must be the first in the triple) signals that the next
+two symbols build an inference line in the style of the {\it
+Grundgesetze\/}. Such symbols use 50\% more space than ordinary symbols.
+\item{\tt -}(\*?-") is a single horizontal stroke;
+\item{\tt .}(\*?.") is a single (centered) period;
+\item{\tt =}(\*?=") is a double stroke;
+\item{\tt *}(\*?*") is a single stroke in the height of the upper line of the
+double stroke;
+\item{\tt\char95 }(\*?_") is an empty space;
+\item{\tt "}(\*?"") is a skip;
+\item{\tt >}has no output; the next symbol must be a {\sl transition-sign\/}:
+\itemitem{\tt x}(\*?>x) it must follow a {\tt >};
+\itemitem{\tt u}(\*?>u) it must follow a {\tt >}.
+
+\noindent
+Inferences of the {\it Grundgesetze\/} are separated by a new type of line:
+\item{1.}¤\separator¤ outputs a thick line with a centered dot.
+
+\Example{10}
+Here is an inference chain from the {\it Grundgesetze\/}:
+\smallskip
+\advance\rightskip by 2\rightskip
+\use p3"III"
+\formula p5|{.-{*.f.{..{\df(a)}.{\df(a)}}}-{a=a}}
+\nlp{6.5}\*?>x
+\formula p5|{..{a=a}.{*.f.{..{\df(a)}.{\df(a)}}}}
+\named "$\ka$"
+\separator
+\use p3"I"
+\formula p5|{..{f(a)}.{f(a)}}
+\nlp5\*?_"\*?>u
+\formula p5|{*.f.{..{\df(a)}.{\df(a)}}}
+\named"$\kb$"
+\bcc3/m$\ka$:.\*__"\rep3\*?--\ecc
+\formula p5|{=.{a=a}}
+\named"IIIe"
+
+\rightskip=\leftskip
+\medskip
+And this is the code:
+\verbatim
+\use p3"III"
+\formula p5|{.-{*.f.{..{\df(a)}.{\df(a)}}}-{a=a}}
+\nlp{6.5}\*?>x
+\formula p5|{..{a=a}.{*.f.{..{\df(a)}.{\df(a)}}}}
+\named "$\ka$"
+\separator
+\use p3"I"
+\formula p5|{..{f(a)}.{f(a)}}
+\nlp5\*?_"\*?>u
+\formula p5|{*.f.{..{\df(a)}.{\df(a)}}}
+\named"$\kb$"
+\bcc3/m$\ka$:.\*__"\rep3\*?--\ecc
+\formula p5|{=.{a=a}}
+\named"IIIe"
+\endverbatim\Eend1
+
+
+% %%%%%%%%%%%
+\beginsection 13. Terminal symbols of the Grundgesetze
+
+The {\it Grundgesetze\/} has not such complex constructions as the
+{\it Begriffsschrift\/} (see Section~9). But it contains a lot of
+special symbols.
+\smallskip
+\settabs 2 \columns
+\def\hsnor#1.{\hbox to 3em{\hss#1.}\ }
+\+\hsnor1.¤\G!¤: $\G!\kx$.&
+\hsnor16.¤\Gfm¤: $u\Gfm q$.\cr
+\+\hsnor2.¤\kasl¤: $\kasl\gF(\ka)$.&
+\hsnor17.¤\Gsm¤: $p\Gsm q$.\cr
+\+\hsnor3.¤\G^¤: $a\G^b$.&
+\hsnor18.¤\G<¤: $p\G<q$.\cr
+\+\hsnor4.¤\GI¤: $\GI p$.&
+\hsnor19.¤\Gy¤: $p\Gy q$.\cr
+\+\hsnor5.¤\G>¤: $\G>p$.&
+\hsnor20.¤\Ge¤: $p\Ge q$.\cr
+\+\hsnor6.¤\GU¤: $\GUorg p$ (or $\GU p$).&
+\hsnor21.¤\Gc¤: $p\Gc q$.\cr
+\+\hsnor7.¤\Gn¤: $\Gnorg u$ (or $\Gn u$).&
+\hsnor22.¤\Gmf¤: $p\Gmf q$.\cr
+\+\hsnor8.¤\G0¤: $\G0$.&
+\hsnor23.¤\G*¤: $\G*t$.\cr
+\+\hsnor9.¤\G1¤: $\G1$.&
+\hsnor24.¤\G6¤: $\G6s$.\cr
+\+\hsnor10.¤\Gbf¤ or ¤\Gff¤: $\Gbf$.&
+\hsnor25.¤\Gf¤: $\Gf s$.\cr
+\+\hsnor11.¤\G-¤: $\G-q$.&
+\hsnor26.¤\GF¤: $s\GF u$.\cr
+\+\hsnor12.¤\G~¤: $\G~q$.&
+\hsnor27.¤\Gl¤: $s\Gl u$.\cr
+\+\hsnor13.¤\G_¤: $p\G_q$.&
+\hsnor28.¤\Gp¤: $\Gp s$.\cr
+\+\hsnor14.¤\Guu¤: $\Guu$.&
+\hsnor29.¤\Gss¤ or ¤\Gsz¤: $s\Gss p$.\cr
+\+\hsnor15.¤\G;¤: $o\G;a$.\cr
+
+\noindent
+The symbols are constructed with the Computer Modern
+and \AmSTeX\ fonts.  But with the external flag ¤\fgefontsknown¤ the
+second symbol in numbers 6 and 7 is selected (see Section~3).
+
+Several symbols are rotated and this requires the package {\tt
+rotate.tex}. The output of unrotated symbols is activated by default;
+the external flag ¤\let\showrotation=t¤ must be given to activate
+rotation (see Section~3).
+\toggleGGstyle
+
+
+% %%%%%%%%%%%
+\beginsection 14. Typesetting definitions
+
+The following command is provided to typeset definitions:
+\smallskip
+\item{1.}¤\gfdefinition p<n><J> <j>{<f>}=<e>¤ outputs the formula
+¤\frege<j>{<f>}¤ in parentheses and sets it equal to the new symbol
+{\tt<e>} if the parameter {\tt<J>} is either {\tt|} to type a judgment
+or {\tt.}\ for a definition.  In the style of the {\it Grundgesetze\/}
+the parameter {\tt<J>} can also be {\tt:}. In this case write ¤<j><f>¤
+and this is interpreted as a math formula and not as a formula created
+by ¤\frege¤.  The parameter {\tt<n>} is the position parameter to move
+the output the given amount of units to the right.
+
+\noindent
+The output of a definition depends on the style.
+
+\Example{11}
+The definition in formula~69 of the {\it Begriffsschrift\/} is:
+\smallskip
+\def\1#1{{\gfvererbe\kd\ka{#1(\ka)}{f(\kd,\ka)}}}
+\gfdefinition p4. .{*.d.{..{*.a.{..{F(\da)}.{{f(\dd,\da)}}}}.{F(\dd)}}}={\1F}
+\smallskip
+In the style of the {\it Grundgesetze\/} the output is:
+\smallskip
+\toggleGGstyle
+\def\1#1{{\gfvererbe\kd\ka{#1(\ka)}{f(\kd,\ka)}}}
+\gfdefinition p4. .{*.d.{..{*.a.{..{F(\da)}
+                                  .{{f(\dd,\da)}}}}
+                          .{F(\dd)}}}={\1F}
+\toggleGGstyle
+\smallskip
+And here is the source (note that ¤\1¤ is a normal macro and needs no
+macro expansion):
+\verbatim
+\def\1#1{{\gfvererbe\kd\ka{#1(\ka)}{f(\kd,\ka)}}}
+\gfdefinition p4. .{*.d.{..{*.a.{..{F(\da)}
+                                  .{{f(\dd,\da)}}}}
+                          .{F(\dd)}}}={\1F}
+\endverbatim\Eend1
+
+\Example{12}
+Here is an example of the {\it Grundgesetze}, in which the {\tt<J>} is
+a colon.
+\smallskip
+\advance\rightskip by 2\rightskip
+\toggleGGstyle
+\gfdefinition p4: \kesl(o\G^(a\G^\ke))={o\G;a}
+\named "$\gX$"
+\toggleGGstyle
+\smallskip
+\rightskip=\leftskip
+And this is the source:
+\verbatim
+\gfdefinition p4: \kesl(o\G^(a\G^\ke))={o\G;a}
+\named "$\gX$"
+\endverbatim\Eend1
+
+
+% %%%%%%%%%%%
+\beginsection 15. Commands to improve page breaks
+
+The formulas are never broken. A page or column break must appear
+at a decollator, separator, or after an inference rule. To gain some
+space the formulas can be typeset in a smaller height and depth.
+(¤\offinterlineskip¤ should be set.)
+\smallskip
+\item{1.}¤\gfbssetzeabstand<h><d>¤ sets the height and depth between the lines to
+{\tt<h>}\thinspace pt and {\tt<d>}\thinspace pt, resp.;
+\item{2.}¤\gfbsreduziereabstandum<nn>¤ reduces the height and depth each by {\tt<nn>}\%
+({\tt<nn>} is a two-digit number);
+\item{3.}¤\gfbsabstandzuruecksetzen¤ sets height and depth to the values of ¤\strutbox¤.
+
+\Example{13}
+The right formula uses ¤\gfbsreduziereabstandum20¤:
+\smallskip
+\begingroup
+\offinterlineskip
+\setbox0=\hbox to .3\hsize{\vtop to 30pt{%
+               \nlp4\*_[-\*-:-\*---\ce{$a$}
+               \nlp4\*___\*_'-\*-:-\ce{$c$}
+               \nlp4\*___\*___\*_'-\ce{$e$}\vss}\hss}
+\setbox1=\hbox to .3\hsize{\vtop to 30pt{%
+               \nlp1\*_[-\*-:-\*---\ce{$a$}
+               \gfbsreduziereabstandum20
+               \nlp1\*___\*_'-\*-:-\ce{$c$}
+               \nlp1\*___\*___\*_'-\ce{$e$}\vss}\hss}
+\centerline{\box0 \box1 }
+\gfbsabstandzuruecksetzen
+\endgroup
+
+And this is the code:
+\verbatim
+\offinterlineskip
+\setbox0=\hbox to .3\hsize{\vtop to 30pt{%
+               \nlp4\*_[-\*-:-\*---\ce{$a$}
+               \nlp4\*___\*_'-\*-:-\ce{$c$}
+               \nlp4\*___\*___\*_'-\ce{$e$}\vss}\hss}
+\setbox1=\hbox to .3\hsize{\vtop to 30pt{%
+               \nlp1\*_[-\*-:-\*---\ce{$a$}
+               \gfbsreduziereabstandum20
+               \nlp1\*___\*_'-\*-:-\ce{$c$}
+               \nlp1\*___\*___\*_'-\ce{$e$}\vss}\hss}
+\centerline{\box0 \box1 }
+\gfbsabstandzuruecksetzen
+\endverbatim\Eend1
+
+
+% %%%%%%%%%%%
+\beginsection 16. List of parameters
+
+Nearly all aspects of the lines that build the structure of Frege's
+notation is controlled by parameters. They can be changed to fit
+better with a certain type of font. But note that a couple of tests
+have been made with these values to guarantee, for example, that the
+affirmation can be placed in front of a quantification.\\
+
+\noindent
+Here is the list of registers that make up the style of the
+{\it Begriffsschrift}.
+\item{1.}$¤\gfbsvolleeinheit¤=\rm0.57\,em$; width of one ¤\*¤ triple
+\item{2.}$¤\gfbsraise¤=\rm0.5\,ex$; height of the horizontal line
+\item{3.}$¤\gfbsneg¤=\rm0.25\,ex$; height of the negation indicator
+\item{4.}$¤\gfbsstrichdicke¤=\rm0.5\,pt$; thickness of the horizontal line
+\item{5.}$¤\gfbsurteildicke¤=\rm1\,pt$; thickness of the judgment stroke\\
+\item{6.}$¤\gfbsuht¤=\rm1.5\,ex$; height of the judgment stroke\\
+\item{7.}$¤\gfbsudp¤=\rm0.5\,ex$; depth of the judgment stroke\\
+\item{8.}$¤\gfbsersetzungdicke¤=\rm0.8\,pt$; thickness of the substitution line\\
+\item{9.}$¤\gfbsdefdicke¤=\rm0.75\,pt$; thickness of the definition strokes
+\item{10.}$¤\gfbsschlussabstand¤=\rm2.5\,pt$; distance of double lines in an inference
+\item{11.}$¤\gfbsschlussdicke¤=\rm0.8\,pt$; thickness of the second line in an inference
+\item{12.}$¤\gfbsdpabstand¤=\rm0.2\,em$; distance between colons in front of an inference
+\smallskip
+\item{13.}$¤\gfbsmaxanzahlzeilen¤=25$; the maximal amount of lines
+in a single formula of the short form (the package declares for each
+line one or two token and skip registers; two registers of each kind
+are needed if substitutions are allowed);
+\item{14.}$¤\gfbsnegpct¤=70$; when ¤\ifgfbsnegdirect¤ is set to false the negation
+indicator has only a height of this percentage so that a gap occurs.
+\smallskip
+\noindent
+And this is the list of additional dimen parameters for the style of
+the {\it Grundgesetze}.
+\item{15.}$¤\gfggstrichdicke¤=\rm0.58\,pt$; common line thickness
+\item{16.}$¤\gfggraise¤=\rm0.14\,ex$; height of horizontal line
+\item{17.}$¤\gfggneg¤=\rm0.47\,ex$; height of negation indicator
+\item{18.}$¤\gfgguht¤=\rm1.4\,ex$; height of the judgment stroke
+\item{19.}$¤\gfggudp¤=\rm0.9\,ex$; depth of the judgment stroke
+\item{20.}$¤\gfggdpabstand¤=\rm0.06\,em$; distance between colons in front of an inference
+
+
+% %%%%%%%%%%%
+\beginsection 17. Related work
+
+Other people have worked on the problem to typeset Frege's notation
+in \TeX\ too. J.~Parsons has developed a package {\it begriff.sty\/}
+for \LaTeX\ (see [7]). Later the package was improved by
+Q.~Pamp~([8]). A team that translated the {\it Grundgesetze\/} created
+its own package from {\it begriff.sty\/} and called it {\it
+grundgesetze.sty\/} (see [9]). It uses the fonts [5] that J.~J.~Green
+has developed for the special terminal symbols in the {\it
+Grundgesetze}.
+
+
+% %%%%%%%%%%%
+\beginsection 18. References
+
+\raggedright\frenchspacing
+\item{[1]}Gottlob Frege,
+   {\sl Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache
+   des reinen\hfil\break Denkens\/}
+   (Halle an der Saale: Louis Nebert, 1879)
+\item{}``Begriffsschrift, a formula language, modeled upon that of arthmetic, for
+   pure thought,'' in: Jean van Heijenoort (ed.),
+   {\sl From Frege to G\"odel: A Sourcebook in Mathematical Logic,
+   1879--1931\/},\hfil\break(Cambridge, MA: Harvard University Press, 1967), 1--82;
+   translation by S. Bauer-Mengelberg    
+
+\item{[2]}Gottlob Frege,
+   {\sl Grundgesetze der Arithmetik --- begriffsschriftlich abgeleitet\/}
+   (Jena: Hermann Pohle, Volume 1 1893, Volume 2 1903)
+\item{}{\sl Basic Laws of Arithmetic\/} (Oxford: Oxford Univ. Press, 2013);
+   translation by Philip A. Ebert, Marcus Rossberg, Crispin Wright
+   
+\item{[3]}American Mathematical Society, {\tt amstex},
+   ¤http://www.ams.org/publications/authors/tex/tex¤ or
+   ¤http://www.ctan.org/tex-archive/macros/amstex¤
+   (accessed: 2014-11-29)
+
+\item{[4]}{\tt rotate},
+   ¤http://www.ctan.org/tex-archive/macros/plain/contrib/misc¤
+   (accessed: 2014-11-29)
+
+\item{[5]}J. J. Green, {\tt fge},
+   ¤http://www.ctan.org/tex-archive/fonts/fge¤
+   (accessed: 2014-11-29)
+
+\item{[6]}Silvio Levy, ``Using Greek fonts with \TeX,''
+   TUGboat {\bf 9,1} (1988), 20--24
+
+\item{[7]}Josh Parsons, {\tt begriff.sty},
+   ¤http://www.ctan.org/tex-archive/macros/latex/contrib/begriff¤
+   (accessed: 2014-11-29)
+
+\item{[8]}Quirin Pamp, {\tt frege.sty},
+   ¤http://www.ctan.org/tex-archive/macros/latex/contrib/frege¤
+   (accessed: 2014-11-29)
+
+\item{[9]}Marcus Rossberg, {\tt grundgesetze.sty},
+   ¤http://www.ctan.org/tex-archive/macros/latex/contrib/¤\hfil\break¤grundgesetze¤
+   (accessed: 2014-11-29)
+
+\bye
+% Local Variables:
+% coding: iso-latin-9-unix
+% End:
diff --git a/Master/texmf-dist/doc/plain/gfnotation/README b/Master/texmf-dist/doc/plain/gfnotation/README
new file mode 100644
index 00000000000..04e678e9259
--- /dev/null
+++ b/Master/texmf-dist/doc/plain/gfnotation/README
@@ -0,0 +1,33 @@
+GFnotation.tex implements macros to typeset formulas and inferences in
+Gottlob Frege's notation that is used in his book ``Begriffsschrift, eine
+der arithmetischen nachgebildete Formelsprache des reinen Denkens'' or
+in the style of his main work ``Grundgesetze der Arithmetik.''
+
+Besides the two output styles the macros provide two input styles. A
+``symbolic representation'' that codes each element of the notation
+with three symbols. And a ``short form'' that generates the notation
+recursively from a sequential input.
+
+This package is released under the GNU General Public License.
+See the file COPYING.
+
+
+The package requires the following files and packages from CTAN:
+
+ 1) amssym.def (from amstex)
+ 2) amsfonts
+ 3) rotate.tex
+ 4) fge fonts (optional)
+    You need item 4) to compile the users guide.
+
+
+The package consists of the following files:
+
+gfnotation.tex     -- the macros for the notation
+                      version 2.9, 29.03.2015
+gfnotation-doc.pdf -- a users guide
+gfnotation-doc.tex -- the source of the users guide
+README             -- this file
+
+Copyright (C) 2015 Udo Wermuth (author)
+                   u dot wermuth (at) icloud dot com
diff --git a/Master/texmf-dist/tex/plain/gfnotation/GFnotation.tex b/Master/texmf-dist/tex/plain/gfnotation/GFnotation.tex
new file mode 100644
index 00000000000..0b861634fed
--- /dev/null
+++ b/Master/texmf-dist/tex/plain/gfnotation/GFnotation.tex
@@ -0,0 +1,2175 @@
+% This file is part of the CTAN package named gfnotation.
+% 
+%   GFnotation.tex: typeset G. Frege's notation of the Begriffsschrift or
+%                   the Grundgesetze der Arithmetik in plain TeX
+%
+%   Copyright (C) 2015  Udo Wermuth (author)
+%
+%   This program is free software: you can redistribute it and/or modify
+%   it under the terms of the GNU General Public License as published by
+%   the Free Software Foundation, either version 3 of the License, 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.
+%
+%   You should have received a copy of the GNU General Public License
+%   along with this program.  If not, see <http://www.gnu.org/licenses/>.
+\message{[(GFnotation.tex) Version 2.9 --- 29.03.2015 10:45]}
+% Werte für den Stil der Begriffsschrift
+% die Weite eines \*-Makroteils (Voreinstellung 0.57 em)
+\newdimen\gfbsvolleeinheit     \gfbsvolleeinheit = 0.57 em
+% die Höhe der horizontalen Striche (Voreinstellung 0.5 ex)
+\newdimen\gfbsraise            \gfbsraise = 0.5 ex
+% die Höhe des Negationstriches (Voreinstellung 0.25 ex)
+\newdimen\gfbsneg              \gfbsneg = 0.25 ex
+% die Dicke der horizontalen Striche (Voreinstellung 0.5 pt)
+\newdimen\gfbsstrichdicke      \gfbsstrichdicke = 0.5 pt
+% die Dicke des Urteilsstrichs (Voreinstellung 0.1 em)
+\newdimen\gfbsurteildicke      \gfbsurteildicke = 0.1 em
+% die Höhe (ohne Strichdicke) (Voreinstellung 1.5 ex)
+\newdimen\gfbsuht              \gfbsuht = 1.5 ex
+% die Tiefe des Urteilsstrichs (Voreinstellung 0.5 ex)
+\newdimen\gfbsudp              \gfbsudp = 0.5 ex
+% die Dicke des Ersetzungsstrichs (Voreinstellung 0.08 em)
+\newdimen\gfbsersetzungdicke   \gfbsersetzungdicke = 0.08 em
+% die Dicke eines Definitionsstrichs (Voreinstellung 0.075 em)
+\newdimen\gfbsdefdicke         \gfbsdefdicke = 0.075 em
+% der Abstand der Striche bei Schlussketten (Voreinstellung 2.5 pt)
+\newdimen\gfbsschlussabstand   \gfbsschlussabstand = 2.5 pt
+% und die Dicke des dickeren Striches (Voreinstellung 0.8 pt)
+\newdimen\gfbsschlussdicke     \gfbsschlussdicke = 0.8 pt
+% der Abstand in Schlussweisen zwischen Doppelpunkten
+\newdimen\gfbsdpabstand        \gfbsdpabstand = 0.2 em
+% Werte für den Grundgesetzestil
+% Einheitsstrichdicke (Voreinstellung 0.58 pt)
+\newdimen\gfggstrichdicke      \gfggstrichdicke = 0.58 pt
+% Höhe des Inhaltsstriches (Voreinstellung 0.14 ex)
+\newdimen\gfggraise            \gfggraise = 0.14 ex
+% Höhe Negationszeichen (Voreinstellung 0.47 ex)
+\newdimen\gfggneg              \gfggneg = 0.47 ex
+% Höhe des Urteilsstriches (Voreinstellung 1.4 ex)
+\newdimen\gfgguht              \gfgguht = 1.4 ex
+% Tiefe des Urteilstriches (Voreinstellung 0.9 ex)
+\newdimen\gfggudp              \gfggudp = 0.9 ex
+% der Abstand in Schlussweisen zwischen Doppelpunkten
+\newdimen\gfggdpabstand        \gfggdpabstand = 0.06 em
+% Prozentangabe für die Höhe eines kurzen Negationsstrichs
+\newcount\gfbsnegpct \gfbsnegpct=70
+% Die kompakte Notation benötigt für die Zeilen Register
+\newcount\gfbsmaxanzahlzeilen     \gfbsmaxanzahlzeilen=25
+%
+% ab hier keine Änderungen vornehmen (außer am Ende Buchstaben)
+%
+% Setze folgendes Zeichen für Zeilenumbruch in Meldungen ein
+\newlinechar=`\^^J
+% Substitutionen können unterdrückt werden
+\newif\ifgfbskeinesubst
+\ifx t\nosubst
+   \message{^^JOK, substitutions are disabled^^J}%
+   \gfbskeinesubsttrue
+\else
+   \gfbskeinesubstfalse
+\fi
+\newif\ifggsymloaded
+\ifx t\fgefontsknown
+   \message{^^JThe family ggfam with the fge-fonts is active.^^J}%
+   \ggsymloadedtrue
+\else
+   \ggsymloadedfalse
+\fi
+\newif\ifggrotiere
+\ifx t\showrotation
+   \ggrotieretrue
+\else
+   \message{^^JRotated symbols are shown unrotated.^^J}%
+   \ggrotierefalse
+\fi
+\catcode`@=11
+\def\mynewfam{\alloc@8\fam\chardef\sixt@@n}
+\catcode`@=12
+\ifggsymloaded
+   \font\tengg=fgerm10  \font\tenggi=fgeit10
+   \font\ninegg=fgerm10 at 9pt  \font\nineggi=fgeit10 at 9pt
+   \font\eightgg=fgerm10 at 8pt \font\eightggi=fgeit10 at 8pt
+   \mynewfam\ggfam
+\fi
+\font\nineeufm=eufm9
+\font\eighteufm=eufm8
+\font\sixeufm=eufm6
+\font\tencmmib=cmmib10 \skewchar\tencmmib='177
+\font\ninecmmib=cmmib9 \skewchar\ninecmmib='177
+\font\eightcmmib=cmmib8 \skewchar\eightcmmib='177
+\font\sevencmmib=cmmib7 \skewchar\sevencmmib='177
+\font\sixcmmib=cmmib6 \skewchar\sixcmmib='177
+\font\fivecmmib=cmmib5 \skewchar\fivecmmib='177
+\expandafter\ifx\csname cmmibfam\endcsname\relax
+   \mynewfam\cmmibfam
+\else
+   \message{^^JThe family cmmibfam is already defined.^^J}%
+\fi
+\font\tencmbsy=cmbsy10 \skewchar\tencmbsy='60
+\font\ninecmbsy=cmbsy9 \skewchar\ninecmbsy='60
+\font\eightcmbsy=cmbsy8 \skewchar\eightcmbsy='60
+\font\sevencmbsy=cmbsy7 \skewchar\sevencmbsy='60
+\font\sixcmbsy=cmbsy6 \skewchar\sixcmbsy='60
+\font\fivecmbsy=cmbsy5 \skewchar\fivecmbsy='60
+\expandafter\ifx\csname cmbsyfam\endcsname\relax
+   \mynewfam\cmbsyfam
+\else
+   \message{^^JThe family cmbsyfam is already defined.^^J}%
+\fi
+\font\sevenit=cmti7
+\font\sixit=cmti7 at 6pt
+\font\fiveit=cmti7 at 5pt
+\font\twelvei=cmmi10 at 12pt \skewchar\twelvei='177
+\def\hexno#1{\ifcase#1 0\or 1\or 2\or 3\or 4\or 5\or 6\or 7\or 8\or
+ 9\or A\or B\or C\or D\or E\or F\fi}
+\newtoks\gftextfontaenderung
+\newdimen\ufdimi \newdimen\ufdimii
+\def\bstenpoint{%
+   \scriptfont\itfam=\sevenit
+     \scriptscriptfont\itfam=\fiveit
+   \textfont\eufmfam=\teneufm
+     \scriptfont\eufmfam=\seveneufm
+     \scriptscriptfont\eufmfam=\fiveeufm
+   \textfont\cmmibfam=\tencmmib
+     \scriptfont\cmmibfam=\sevencmmib
+     \scriptscriptfont\cmmibfam=\fivecmmib
+   \textfont\cmbsyfam=\tencmbsy
+     \scriptfont\cmbsyfam=\sevencmbsy
+     \scriptscriptfont\cmbsyfam=\fivecmbsy
+   \ifggsymloaded
+      \textfont\ggfam=\tengg
+   \fi
+   \font\ffont=cmdunh10 at 8pt \font\nfont=cmsl12
+   \font\ufont=cmdunh10 at 9pt {\ufont\global\ufdimi=0.07em \global\ufdimii=0.5ex }%
+   \gftextfontaenderung={\textfont1=\twelvei \textfont\msbfam=\sevenmsb
+      \ifggsymloaded\textfont\ggfam=\tenggi\fi}}
+\def\bsninepoint{%
+   \scriptfont\itfam=\sixit
+     \scriptscriptfont\itfam=\fiveit
+   \textfont\eufmfam=\nineeufm
+     \scriptfont\eufmfam=\sixeufm
+     \scriptscriptfont\eufmfam=\fiveeufm
+   \textfont\cmmibfam=\ninecmmib
+     \scriptfont\cmmibfam=\sixcmmib
+     \scriptscriptfont\cmmibfam=\fivecmmib
+   \textfont\cmbsyfam=\ninecmbsy
+     \scriptfont\cmbsyfam=\sixcmbsy
+     \scriptscriptfont\cmbsyfam=\fivecmbsy
+   \ifggsymloaded
+      \textfont\ggfam=\ninegg
+   \fi
+   \font\ffont=cmdunh10 at 7pt \font\nfont=cmsl10 at 11pt
+   \font\ufont=cmdunh10 at 8pt {\ufont\global\ufdimi=0.11em \global\ufdimii=0.6ex }%
+   \gftextfontaenderung={\textfont1=\twelvei\textfont\msbfam=\sixmsb
+      \ifggsymloaded\textfont\ggfam=\nineggi\fi}}
+\def\bseightpoint{%
+   \scriptfont\itfam=\sixit
+     \scriptscriptfont\itfam=\fiveit
+   \textfont\eufmfam=\eighteufm
+     \scriptfont\eufmfam=\sixeufm
+     \scriptscriptfont\eufmfam=\fiveeufm
+   \textfont\cmmibfam=\eightcmmib
+     \scriptfont\cmmibfam=\sixcmmib
+     \scriptscriptfont\cmmibfam=\fivecmmib
+   \textfont\cmbsyfam=\eightcmbsy
+     \scriptfont\cmbsyfam=\sixcmbsy
+     \scriptscriptfont\cmbsyfam=\fivecmbsy
+   \ifggsymloaded
+      \textfont\ggfam=\eightgg
+   \fi
+   \font\ffont=cmdunh10 at 6pt \font\nfont=cmsl10
+   \font\ufont=cmdunh10 at 7pt {\ufont\global\ufdimi=0.16em \global\ufdimii=0.6ex }%
+   \gftextfontaenderung={\textfont1=\teni\textfont\msbfam=\fivemsb
+      \ifggsymloaded\textfont\ggfam=\eightggi\fi}}
+\bstenpoint
+\def\AmSTeX{$\cal A\kern-.1667em\lower.5ex\hbox{$\cal M$}\kern-.075em S$-\TeX}
+\newhelp\gfbskeinbuchstabeinhoehlunghilfe{%
+Either in the current or in the previously typed \string\* macro you must have^^J%
+used as the last symbol one of (1) \string$, %$%
+(2) \string., (3) \string,, (4) \string;,^^J%
+(5) \string`, (6) 7, or (7) \string @ and now a character is expected that is^^J%
+used as the variable for the ``for all''.}
+\newhelp\gfbsunbekanntessymbolhilfe{%
+The shown character is not handled by the \string\* macro.^^J%
+Here is the list of allowed characters:^^J%
+(1) \string" (nothing), (2) \string_ (empty box), (3) \string- (content stroke),^^J%
+(4) \string<, \string(, \string~, \string), or \string> (negation),
+(5) \string+, \string^, or \string/ (double negation),^^J%
+(6) \string: (then), (7) \string' (if), (8) \string! (connector then-if),^^J%
+(9) \string[ (judgement left), (10) \string] (judgement right),^^J%
+(11) \string| (substitution bar), (12) \string= (double inference rule),^^J%
+(13) \string. (half \string-), (14) \string, (half \string~), ^^J%
+(15) \string` (half \string~ moved left), (16) \string; (half \string+),^^J%
+(17) \string @ (for all), (18) \string$ (either \string. or half \string"),^^J% $
+(19) 0 (either \string( or \string)), (20) 1 (either \string^ or \string/),
+(21) 2 (either \string^ or \string+),^^J%
+(22) 3 , (23) 4 (either \string- or \string"),^^J%
+(24) 5 (either \string_ or \string"), (25) 6 (either \string[ or \string]),
+(26) 7 (either \string` or \string,),^^J%
+(27) 8 (either \string< or \string~), (28) 9 (only 1/3 of \string-).^^J%
+(13)-(16), and (26) signal a ``for all'' and must be paired^^J%
+(any combination allowed).^^J%
+(18) signals also a ``for all'' and must be paired with itself.}
+\newhelp\gfbshaelftehilfe{%
+After a signaled ``for all'' one of (1) \string., (2) \string,, (3) \string;,^^J%
+(4) \string`, or (5) 7 must directly follow the variable. These symbols must be^^J%
+paired in any combination around the character that is used as the^^J%
+variable in the ``for all''.}
+\newhelp\gfbsklammerhilfe{%
+A ``for all'' was signaled by a dollar sign. This must be followed by^^J%
+a dollar sign. The other symbols to signal the end of a ``for all''^^J%
+cannot be used here, that is \string., \string,, \string`, or \string; are not allowed.}
+\newhelp\gfggschlussweisehilfe{%
+The `\string?' cannot be used if the style is set to follow the Begriffsschrift.^^J%
+Either the style for the Grundgesetze must be used or the `\string?' sign has to^^J%
+be invoked: You have to set `\string\gfggschlussweisetrue' to use this command.^^J%
+You can activate the style of the Grundgesetze with the command \string\toggleGGstyle.}
+\newhelp\gfbszwischenzeichenhilfe{%
+A character for a single conclusion sign must be introduced by a `\string>'.^^J%
+The character was found but no `\string>' has been read before.}
+\newhelp\gfbszwischenzeichenfehlthilfe{%
+You have entered a `\string>' so that the next conclusion symbol must be^^J%
+either an `x' or an `u'.}
+\newhelp\gfbsunbekannterschlusshilfe{%
+The symbol is not allowed in a \string\*? macro. Here is a list of known symbols:^^J%
+(1) \string_ (empty box), (2) \string" (nothing), (3) \string- (single line),^^J%
+(4) \string. (single dot), (5) \string= (double line),^^J%
+(6) \string* (line and empty box as double line),^^J%
+(7) \string> (signal single character), (8) x (cross), and (9) u (brace).^^J%
+(8) and (9) must be signaled by (7).}
+\newhelp\gfbsnegwdhhilfe{%
+The repetition needs a nonnegative counter to output the^^J%
+text parameters. The negative value is ignored.}
+\newhelp\gfbspositionunbekannthilfe{%
+To position the formula number use either l for left, m for middle,^^J%
+or r for right.}
+\newhelp\gfbsdoppelpunkthilfe{%
+The number of colons (one or two) is given by the number of periods:^^J%
+the period gives one colon, the colon two.}
+\newhelp\gfbszuvieleparameterhilfe{%
+A statement has only three parameters. But here you have used more.^^J%
+The parameter is ignored but it might belong to the next construction^^J%
+and can cause more errors if the grouping was not correct.}
+\newhelp\gfbsfalschesvzhilfe{%
+A sign must be one of (1) \string-, (2) \string+, or (3) \string..^^J%
+They have the meaning negation, confirmation (double negation), and no sign, resp.}
+\newhelp\gfbskeinbuchstabeanhoehlungspositionhilfe{%
+A ``for all'' variable must be a letter.^^J%
+Other error messages from building the \string\*-macros will follow.}
+\newhelp\gfbsfalscherstarthilfe{%
+A formula must start either with `\string|' or `\string.'.^^J%
+The second parameter to \string\formel\space must be one of these characters.}
+\newhelp\gfbsnurterminalhilfe{%
+Only a terminal string was entered, no valid Frege formula found.}
+\newhelp\gfbsnurnullinaushilfe{%
+As substitutions are disabled, a number can only be written in the^^J%
+first line of a formula. The input is ignored and 0 is used instead.}
+\newhelp\gfbskeinesubsthilfe{%
+The last parameter is substitution information and should be empty.^^J%
+You have disabled the use of substitutions in the compact notation^^J%
+by asigning the value ``t'' to \string\nosubst. Don't make this setting^^J%
+before the package is loaded if you need substitutions.}
+\newhelp\gfbsleeresubsthilfe{%
+You cannot substitute a character by a space. Probably some space occurs^^J%
+directly after the colon that should be removed.}
+\newhelp\gfbszweiteposzugrosshilfe{%
+The position for the formel number must be to the left^^J%
+of the postition of the line. Assuming a small positive distance.}
+\newhelp\gfbskeinelaengehilfe{%
+The line denoting the conclusion can only be drawn if it^^J%
+has a positive length. More errors will follow.}
+\newhelp\gfbsdoppelpunktzahlhilfe{%
+The third symbol must be either a period or a colon to^^J%
+give the number of colons. More erros will follow.}
+\newhelp\gfbsposabstandhilfe{%
+The p-parameter of the substitution is not smaller than the^^J%
+p-parameter of the formula. A small distance is assumed, but^^J%
+that might result in a wrong output.}
+\newhelp\ggunbekannteboxnummer{%
+There are four boxes for \string\pfrege\space and \string\pparens, and^^J%
+four boxes for \string\bfrege\space and \string\bparens.^^J%
+To output a box \string\pfbox\space and \string\bfbox\space are used.^^J%
+The listed macros need as the first parameter a number^^J%
+in the range 1 and 4. Other numbers are ignored.}
+\newhelp\ggkeinbekanntessymbol{%
+Macro \string\G\space does not know how to handle the argument.}
+\newhelp\ggkeinvokalbuchstabe{%
+For a value-range the spiritus lenis must be applied to a^^J%
+lowercase greek vowel (\string\alpha, \string\epsilon).^^J%
+The greek letter is given as the argument of the macro and^^J%
+must be expresssed here by its latin representation,^^J%
+f.e., a for \string\alpha. Other letters are rejected.}
+% \ff ist der Formelnummernfont
+\let\ff=\rm
+\newdimen\gfbssdicke \newdimen\gfbsudicke
+\newdimen\gfbsddicke
+\newdimen\gfbsedicke \newdimen\gfbsfdicke
+\newdimen\gfbshoehe
+\newdimen\gfbsneght  \newdimen\gfbsnegdp
+\gfbssdicke=\gfbsstrichdicke    \gfbsudicke=\gfbsurteildicke
+\gfbsddicke=\gfbsdefdicke
+\gfbsedicke=\gfbsersetzungdicke \gfbsfdicke=\gfbsschlussdicke
+\gfbshoehe=\gfbsraise           \gfbsnegdp=\gfbsneg
+% die Überlappung der Striche an den Fugen
+\newdimen\gfbsueberlappung     \gfbsueberlappung = -0.001 em
+% eine \gfbseinheit ist um die Überlappung kleiner als die volle Einheit
+\newdimen\gfbseinheit          \gfbseinheit = \gfbsvolleeinheit
+         \advance\gfbseinheit by \gfbsueberlappung
+% für zwei Einheiten wird ebenfalls ein Wert benötigt
+\newdimen\gfbszweiheit         \gfbszweiheit = 2\gfbsvolleeinheit
+         \advance\gfbszweiheit by \gfbsueberlappung
+% aus drei Teilen wird ein Element erzeugt
+\newdimen\gfbselementdimen     \gfbselementdimen = 3\gfbseinheit
+% die Gesamthöhe der horizontalen Striche
+\newdimen\gfbsht \newdimen\gfgght 
+\gfbsht=\gfbshoehe  \advance\gfbsht by \gfbssdicke   \gfgght=\gfbsht
+% \gfbsrulefill ändert sich mit dem Stil, \gfggrulefill bleibt konstant
+\def\gfbsrulefill{\leaders\hrule height \gfbsht depth -\gfbshoehe\hfill}
+\def\gfggrulefill{\leaders\hrule height \gfgght depth -\gfbsraise\hfill}
+% die Strichdicke noch beim Urteilsstrich addieren
+\newdimen\gfbsfuht  \newdimen\gfbsfudp
+\gfbsfuht=\gfbsuht \advance\gfbsfuht by \gfbssdicke
+\gfbsfudp=\gfbsudp
+% die Position der Schlussstriche berechnen
+\newdimen\gfbsos   \newdimen\gfbsus
+\gfbsos=\gfbsschlussabstand  \advance\gfbsos by \gfbsfdicke
+\gfbsus=\gfbsos \advance\gfbsus by -\gfbssdicke
+% und der Abstand bei Doppelpunkten
+\newdimen\gfbsdpa
+\gfbsdpa=\gfbsdpabstand
+\def\gfbsneuestriche{%
+   \ifgfbsuseGGstyle
+      \global\gfbssdicke=\gfggstrichdicke
+      \global\gfbsudicke=\gfggstrichdicke
+      \global\gfbsddicke=\gfggstrichdicke
+      \global\gfbsedicke=\gfggstrichdicke
+      \global\gfbsfdicke=\gfggstrichdicke
+      \global\gfbshoehe=\gfggraise
+      \global\gfbsnegdp=\gfggneg
+      \global\gfbsfuht=\gfgguht
+      \global\gfbsfudp=\gfggudp
+      \global\gfbsdpa=\gfggdpabstand
+   \else
+      \global\gfbssdicke=\gfbsstrichdicke
+      \global\gfbsudicke=\gfbsurteildicke  
+      \global\gfbsddicke=\gfbsdefdicke  
+      \global\gfbsedicke=\gfbsersetzungdicke
+      \global\gfbsfdicke=\gfbsschlussdicke
+      \global\gfbshoehe=\gfbsraise
+      \global\gfbsnegdp=\gfbsneg
+      \global\gfbsfuht=\gfbsuht
+      \global\gfbsfudp=\gfbsudp
+      \global\gfbsdpa=\gfbsdpabstand
+   \fi
+   \global\gfbsht=\gfbshoehe
+   \global\advance\gfbsht by \gfbssdicke
+   \gdef\gfbsrulefill{\leaders\hrule height \gfbsht depth -\gfbshoehe\hfill}%
+   \global\advance\gfbsfuht by \gfbssdicke
+   \global\gfbsos=\gfbsschlussabstand  \global\advance\gfbsos by \gfbsfdicke
+   \global\gfbsus=\gfbsos \global\advance\gfbsus by -\gfbssdicke
+}
+\newif\ifgfbsuseGGstyle  \gfbsuseGGstylefalse
+% true falls der Negationsstrich den Inhaltsstrich berühren soll
+\newif\ifgfbsnegdirekt \gfbsnegdirektfalse
+\newif\ifgfbshoehlung   \gfbshoehlungfalse
+\newif\ifgfbskompakt  \gfbskompaktfalse
+\newif\ifgfbszweitehaelfte   \gfbszweitehaelftefalse
+\newif\ifgfbsklammerzu \gfbsklammerzufalse
+\newif\ifgfggschlussweise  \gfggschlussweisefalse
+\newif\ifgfbszwischenzeichen
+\mathchardef\diagup="0\hexno\msbfam1E
+\mathchardef\diagdown="0\hexno\msbfam1F
+\newdimen\gfbsfonosenken
+\newbox\gfbsbox  \newdimen\gfbsboxht   \newdimen\gfbsboxdp
+\newif\ifgfbsfonoohnepunkt \gfbsfonoohnepunktfalse
+\newbox\ggpboxi   \newbox\ggbboxi % Boxen für \pfrege und \bfrege
+\newbox\ggpboxii  \newbox\ggbboxii
+\newbox\ggpboxiii \newbox\ggbboxiii % und für \pparens und \bparens
+\newbox\ggpboxiv  \newbox\ggbboxiv
+\def\gfbsteilelement#1{%
+   \ifgfbshoehlung % Zeichen in eine Höhlung setzen (1. \fi)
+      \ifcat \noexpand#1a\else
+         \errhelp=\gfbskeinbuchstabeinhoehlunghilfe
+         \errmessage{A ``for all'' variable must be a letter not `\string#1'}%
+      \fi
+      \ifdim\gfbssdicke<0.59 pt
+         \setbox0=\hbox{$\mathchar"015E$}% plain \TeX Vorgabe
+      \else
+         \setbox0=\hbox{$\mathchar"0\hexno\cmmibfam5E$}%
+      \fi
+      \dimen0 = \gfbseinheit   \advance\dimen0 by -0.5\wd0
+      \dimen2 = \wd0    \divide\dimen2 by 18   \advance\dimen0 by 1.5\dimen2
+      \hbox to \gfbszweiheit{%
+         \hbox to\dimen0{\gfbsrulefill}%
+         \kern-1.2\dimen2
+         \raise\gfbshoehe\hbox{%
+            \lower\ht0\hbox{%
+               \ifx#1ß$\buildrel{\the\dsz}\over{\box0}$%
+               \else$\buildrel{{\frak #1}}\over{\box0}$%
+               \fi
+            }%
+         }%
+         \nobreak
+         \kern-1.5\dimen2
+         \gfbsrulefill
+      }%
+      \kern\gfbsueberlappung
+      \gfbshoehlungfalse
+   \else
+      \ifx #1$%$% halber Inhaltsstrich oder Leerstelle nach Höhlung
+         \ifgfbsklammerzu
+            \gfbsklammerzufalse
+         \else
+            \gfbsklammerzutrue
+            \gfbshoehlungtrue
+         \fi
+         \ifgfbszweitehaelfte
+            \errhelp=\gfbshaelftehilfe
+            \errmessage{Unexpected `\string#1' after signaled ``for all''}%
+            \gfbszweitehaelftefalse
+         \fi
+         \ifgfbskompakt\relax
+         \else
+            \hbox to 0.5\gfbsvolleeinheit{\gfbsrulefill}\kern0.5\gfbsueberlappung
+            \nobreak
+         \fi
+      \else
+         \ifgfbsklammerzu
+            \errhelp=\gfbsklammerhilfe
+            \errmessage{A \string$ expected, not `\string#1'}%$
+            \gfbsklammerzufalse
+         \fi
+      \ifx #1.% halber Inhaltsstrich
+         \hbox to 0.5\gfbsvolleeinheit{\gfbsrulefill}\kern0.5\gfbsueberlappung
+         \nobreak
+         \ifgfbszweitehaelfte
+            \gfbszweitehaelftefalse
+         \else
+            \gfbshoehlungtrue
+            \gfbszweitehaelftetrue
+         \fi
+      \else\ifx #1,% halber verneinter Inhaltsstrich
+         \hbox to 0.5\gfbsvolleeinheit{\gfbsrulefill}\kern0.5\gfbsueberlappung
+         \nobreak
+         \ifgfbszweitehaelfte\hskip-0.3\gfbseinheit
+         \else\hskip-0.2\gfbseinheit\fi
+         \hskip-0.5\gfbssdicke
+         \ifgfbsnegdirekt
+            \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+         \else
+            \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+            \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+         \fi
+         \nobreak
+         \hskip-0.5\gfbssdicke
+         \ifgfbszweitehaelfte\hskip0.3\gfbseinheit
+         \else\hskip0.2\gfbseinheit\fi
+         \ifgfbszweitehaelfte
+            \gfbszweitehaelftefalse
+         \else
+            \gfbshoehlungtrue
+            \gfbszweitehaelftetrue
+         \fi
+      \else\ifx #1`% halber ganz links verneinter Inhaltsstrich
+         \hbox to 0.5\gfbsvolleeinheit{\gfbsrulefill}\kern0.5\gfbsueberlappung
+         \nobreak
+         \hskip-0.5\gfbseinheit
+         \ifgfbsnegdirekt
+            \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+         \else
+            \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+            \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+         \fi
+         \nobreak
+         \hskip-\gfbssdicke
+         \hskip0.5\gfbseinheit
+         \ifgfbszweitehaelfte
+            \gfbszweitehaelftefalse
+         \else
+            \gfbshoehlungtrue
+            \gfbszweitehaelftetrue
+         \fi
+      \else\ifx #1;% halber doppelt verneinter Inhaltsstrich
+         \hbox to 0.5\gfbsvolleeinheit{\gfbsrulefill}\kern0.5\gfbsueberlappung
+         \nobreak
+         \ifgfbszweitehaelfte\hskip-0.42\gfbseinheit
+         \else\hskip-0.27\gfbseinheit\fi
+         \hskip-\gfbssdicke
+         \ifgfbsnegdirekt
+            \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+         \else
+            \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+            \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+         \fi
+         \nobreak
+         \hskip0.27\gfbseinheit
+         \hskip-\gfbssdicke
+         \ifgfbsnegdirekt
+            \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+         \else
+            \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+            \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+         \fi
+         \nobreak
+         \ifgfbszweitehaelfte\hskip0.15\gfbseinheit\fi
+         \ifgfbszweitehaelfte
+            \gfbszweitehaelftefalse
+         \else
+            \gfbshoehlungtrue
+            \gfbszweitehaelftetrue
+         \fi
+      \else\ifx #17% variable Negation
+         \ifgfbskompakt
+            \hbox to 0.5\gfbsvolleeinheit{\gfbsrulefill}\kern0.5\gfbsueberlappung
+            \nobreak
+            \ifgfbszweitehaelfte\hskip-0.3\gfbseinheit
+            \else\hskip-0.2\gfbseinheit\fi
+            \hskip-0.5\gfbssdicke
+            \ifgfbsnegdirekt
+               \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+            \else
+               \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+               \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+            \fi
+            \nobreak
+            \hskip-0.5\gfbssdicke
+            \ifgfbszweitehaelfte\hskip0.3\gfbseinheit
+            \else\hskip0.2\gfbseinheit\fi
+         \else
+            \hbox to 0.5\gfbsvolleeinheit{\gfbsrulefill}\kern0.5\gfbsueberlappung
+            \nobreak
+            \hskip-0.5\gfbseinheit
+            \ifgfbsnegdirekt
+               \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+            \else
+               \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+               \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+            \fi
+            \nobreak
+            \hskip-\gfbssdicke
+            \hskip0.5\gfbseinheit
+         \fi
+         \ifgfbszweitehaelfte
+            \gfbszweitehaelftefalse
+         \else
+            \gfbshoehlungtrue
+            \gfbszweitehaelftetrue
+         \fi
+      \else
+         \ifgfbszweitehaelfte
+            \errhelp=\gfbshaelftehilfe
+            \errmessage{Unexpected `\string#1' after signaled ``for all''}%
+            \gfbszweitehaelftefalse
+         \fi
+         \ifx #1"% Leerstelle
+            \relax
+         \else\ifx #1_% leer
+            \hskip\gfbseinheit
+         \else\ifx #1-% Inhaltsstrich
+            \hbox to \gfbsvolleeinheit{\gfbsrulefill}\kern\gfbsueberlappung
+            \nobreak
+         \else\ifx #1=% Schlusskette
+            \vrule height \gfbsos depth -\gfbsus width \gfbsvolleeinheit
+            \nobreak
+            \hskip-\gfbsvolleeinheit
+            \vrule height \gfbsfdicke depth 0pt width \gfbsvolleeinheit
+            \nobreak
+            \kern\gfbsueberlappung
+         \else
+            \ifx #1~% verneinter Inhaltsstrich
+               \hbox to \gfbsvolleeinheit{\gfbsrulefill}\kern\gfbsueberlappung
+               \nobreak
+               \hskip-0.5\gfbseinheit
+               \hskip-0.5\gfbssdicke
+               \ifgfbsnegdirekt
+                  \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+               \else
+                  \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+                  \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+               \fi
+               \nobreak
+               \hskip-0.5\gfbssdicke
+               \hskip0.5\gfbseinheit
+            \else\ifx #1(% Negation mitte-links
+               \hbox to \gfbsvolleeinheit{\gfbsrulefill}\kern\gfbsueberlappung
+               \nobreak
+               \hskip-0.75\gfbseinheit
+               \hskip-0.5\gfbssdicke
+               \ifgfbsnegdirekt
+                  \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+               \else
+                  \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+                  \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+               \fi
+               \nobreak
+               \hskip-0.5\gfbssdicke
+               \hskip0.75\gfbseinheit
+            \else\ifx #1<% Negation ganz links
+               \hbox to \gfbsvolleeinheit{\gfbsrulefill}\kern\gfbsueberlappung
+               \nobreak
+               \hskip-\gfbseinheit
+               \ifgfbsnegdirekt
+                  \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+               \else
+                  \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+                  \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+               \fi
+               \nobreak
+               \hskip-\gfbssdicke
+               \hskip\gfbseinheit
+            \else\ifx #1)% Negation mitte-rechts
+               \hbox to \gfbsvolleeinheit{\gfbsrulefill}\kern\gfbsueberlappung
+               \nobreak
+               \hskip-0.25\gfbseinheit
+               \hskip-0.5\gfbssdicke
+               \ifgfbsnegdirekt
+                  \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+               \else
+                  \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+                  \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+               \fi
+               \nobreak
+               \hskip-0.5\gfbssdicke
+               \hskip0.25\gfbseinheit
+            \else\ifx #1>% Negation ganz rechts
+               \hbox to \gfbsvolleeinheit{\gfbsrulefill}\kern\gfbsueberlappung
+               \nobreak
+               \hskip-\gfbssdicke
+               \ifgfbsnegdirekt
+                  \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+               \else
+                  \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+                  \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+               \fi
+               \nobreak
+            \else\ifx #1+% doppelter verneinter Inhaltsstrich
+               \hbox to \gfbsvolleeinheit{\gfbsrulefill}\kern\gfbsueberlappung
+               \nobreak
+               \hskip-0.75\gfbseinheit
+               \hskip-0.5\gfbssdicke
+               \ifgfbsnegdirekt
+                  \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+               \else
+                  \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+                  \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+               \fi
+               \nobreak
+               \hskip0.5\gfbseinheit
+               \hskip-\gfbssdicke
+               \ifgfbsnegdirekt
+                  \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+               \else
+                  \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+                  \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+               \fi
+               \nobreak
+               \hskip-0.5\gfbssdicke
+               \hskip0.25\gfbseinheit
+            \else\ifx #1^% doppelter verneinter Inhaltsstrich links
+               \hbox to \gfbsvolleeinheit{\gfbsrulefill}\kern\gfbsueberlappung
+               \nobreak
+               \hskip-\gfbseinheit
+               \ifgfbsnegdirekt
+                  \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+               \else
+                  \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+                  \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+               \fi
+               \nobreak
+               \hskip0.5\gfbseinheit
+               \hskip-\gfbssdicke
+               \ifgfbsnegdirekt
+                  \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+               \else
+                  \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+                  \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+               \fi
+               \nobreak
+               \hskip-\gfbssdicke
+               \hskip0.5\gfbseinheit
+            \else\ifx #1/% doppelter verneinter Inhaltsstrich rechts
+               \hbox to \gfbsvolleeinheit{\gfbsrulefill}\kern\gfbsueberlappung
+               \nobreak
+               \hskip-0.5\gfbseinheit
+               \hskip-\gfbssdicke
+               \ifgfbsnegdirekt
+                  \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+               \else
+                  \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+                  \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+               \fi
+               \nobreak
+               \hskip0.5\gfbseinheit
+               \hskip-\gfbssdicke
+               \ifgfbsnegdirekt
+                  \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+               \else
+                  \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+                  \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+               \fi
+               \nobreak
+            \else
+               \ifx #1:% dann-Verbindung
+                  \hbox to \gfbsvolleeinheit{\gfbsrulefill}\kern\gfbsueberlappung
+                  \nobreak
+                  \hskip-0.5\gfbseinheit
+                  \hskip-0.5\gfbssdicke
+                  \vrule width \gfbssdicke height \gfbshoehe
+                  \nobreak
+                  \hskip-0.5\gfbssdicke
+                  \hskip0.5\gfbseinheit
+               \else\ifx #1'% wenn-Verbindung
+                  \hskip0.5\gfbsvolleeinheit
+                  \hskip-0.5\gfbssdicke
+                  \vrule width \gfbssdicke depth -\gfbshoehe
+                  \nobreak
+                  \hskip-0.5\gfbssdicke
+                  \hbox to 0.5\gfbsvolleeinheit{\gfbsrulefill}\kern0.5\gfbsueberlappung
+                  \nobreak
+                  \kern0.5\gfbsueberlappung
+               \else\ifx #1!% senkrechter Strich für Verlängerungen zwischen dann und wenn
+                  \hskip0.5\gfbseinheit
+                  \hskip-0.5\gfbssdicke
+                  \vrule width \gfbssdicke
+                  \nobreak
+                  \hskip-0.5\gfbssdicke
+                  \hskip0.5\gfbseinheit
+               \else
+                  \ifx #1[% Urteilsstrich
+                     \smash{\vrule width \gfbsudicke height \gfbsfuht depth \gfbsfudp}%
+                     \nobreak
+                     \hskip-\gfbsudicke
+                     \hbox to \gfbsvolleeinheit{\gfbsrulefill}\kern\gfbsueberlappung
+                     \nobreak
+                  \else\ifx #1]% Urteilsstrich rechtsbündig
+                     \hskip\gfbseinheit
+                     \hskip-\gfbsudicke
+                     \smash{\vrule width \gfbsudicke height \gfbsfuht depth \gfbsfudp}%
+                  \else\ifx #13% Definitionsstriche rechtsbündig
+                     \hskip\gfbseinheit
+                     \hskip-4\gfbsddicke
+                     \smash{\vrule width \gfbsddicke height \gfbsfuht depth \gfbsfudp}%
+                     \nobreak
+                     \hskip2\gfbsddicke
+                     \smash{\vrule width \gfbsddicke height \gfbsfuht depth \gfbsfudp}%
+                  \else\ifx #1|% Ersetzungsstrich
+                     \hskip0.5\gfbseinheit
+                     \hskip-0.5\gfbsedicke
+                     \vrule width \gfbsedicke
+                     \nobreak
+                     \hskip-0.5\gfbsedicke
+                     \hskip0.5\gfbseinheit
+                  \else\ifx #1@% Vorbereitung für eine Höhlung
+                     \gfbshoehlungtrue
+                  \else
+                     \ifx #10% Negation mitte-links oder mitte-rechts
+                        \ifgfbskompakt
+                           \hbox to \gfbsvolleeinheit{\gfbsrulefill}\kern\gfbsueberlappung
+                           \nobreak
+                           \hskip-0.25\gfbseinheit
+                           \hskip-0.5\gfbssdicke
+                           \ifgfbsnegdirekt
+                              \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+                           \else
+                              \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+                              \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+                           \fi
+                           \nobreak
+                           \hskip-0.5\gfbssdicke
+                           \hskip0.25\gfbseinheit
+                        \else
+                           \hbox to \gfbsvolleeinheit{\gfbsrulefill}\kern\gfbsueberlappung
+                           \nobreak
+                           \hskip-0.75\gfbseinheit
+                           \hskip-0.5\gfbssdicke
+                           \ifgfbsnegdirekt
+                              \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+                           \else
+                              \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+                              \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+                           \fi
+                           \nobreak
+                           \hskip-0.5\gfbssdicke
+                           \hskip0.75\gfbseinheit
+                        \fi
+                     \else\ifx #11% Doppelte Negation links oder rechts
+                        \ifgfbskompakt
+                           \hbox to \gfbsvolleeinheit{\gfbsrulefill}\kern\gfbsueberlappung
+                           \nobreak
+                           \hskip-0.5\gfbseinheit
+                           \hskip-\gfbssdicke
+                           \ifgfbsnegdirekt
+                              \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+                           \else
+                              \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+                              \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+                           \fi
+                           \nobreak
+                           \hskip0.5\gfbseinheit
+                           \hskip-\gfbssdicke
+                           \ifgfbsnegdirekt
+                              \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+                           \else
+                              \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+                              \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+                           \fi
+                           \nobreak
+                        \else
+                           \hbox to \gfbsvolleeinheit{\gfbsrulefill}\kern\gfbsueberlappung
+                           \nobreak
+                           \hskip-\gfbseinheit
+                           \ifgfbsnegdirekt
+                              \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+                           \else
+                              \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+                              \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+                           \fi
+                           \nobreak
+                           \hskip0.5\gfbseinheit
+                           \hskip-\gfbssdicke
+                           \ifgfbsnegdirekt
+                              \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+                           \else
+                              \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+                              \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+                           \fi
+                           \nobreak
+                           \hskip-\gfbssdicke
+                           \hskip0.5\gfbseinheit
+                        \fi
+                     \else\ifx #12% Doppelte Negation links oder zentriert
+                        \ifgfbskompakt
+                           \hbox to \gfbsvolleeinheit{\gfbsrulefill}\kern\gfbsueberlappung
+                           \nobreak
+                           \hskip-0.75\gfbseinheit
+                           \hskip-0.5\gfbssdicke
+                           \ifgfbsnegdirekt
+                              \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+                           \else
+                              \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+                              \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+                           \fi
+                           \nobreak
+                           \hskip0.5\gfbseinheit
+                           \hskip-\gfbssdicke
+                           \ifgfbsnegdirekt
+                              \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+                           \else
+                              \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+                              \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+                           \fi
+                           \nobreak
+                           \hskip-0.5\gfbssdicke
+                           \hskip0.25\gfbseinheit
+                        \else
+                           \hbox to \gfbsvolleeinheit{\gfbsrulefill}\kern\gfbsueberlappung
+                           \nobreak
+                           \hskip-\gfbseinheit
+                           \ifgfbsnegdirekt
+                              \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+                           \else
+                              \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+                              \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+                           \fi
+                           \nobreak
+                           \hskip0.5\gfbseinheit
+                           \hskip-\gfbssdicke
+                           \ifgfbsnegdirekt
+                              \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+                           \else
+                              \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+                              \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+                           \fi
+                           \nobreak
+                           \hskip-\gfbssdicke
+                           \hskip0.5\gfbseinheit
+                        \fi
+                     \else\ifx #14% Inhaltsstrich oder Leerstelle
+                        \ifgfbskompakt\relax
+                        \else
+                           \hbox to \gfbsvolleeinheit{\gfbsrulefill}\kern\gfbsueberlappung
+                           \nobreak
+                        \fi
+                     \else\ifx #15% leer oder Leerstelle
+                        \ifgfbskompakt\relax
+                        \else
+                           \hskip\gfbseinheit
+                        \fi
+                     \else\ifx #16% Urteil links- oder rechtsbündig 
+                        \ifgfbskompakt
+                           \hskip\gfbseinheit
+                           \hskip-\gfbsudicke
+                           \smash{\vrule width \gfbsudicke height \gfbsfuht depth \gfbsfudp}%
+                        \else
+                           \smash{\vrule width \gfbsudicke height \gfbsfuht depth \gfbsfudp}%
+                           \nobreak
+                           \hskip-\gfbsudicke
+                           \hbox to \gfbsvolleeinheit{\gfbsrulefill}\kern\gfbsueberlappung
+                           \nobreak
+                        \fi
+                     \else\ifx #18% Negation ganz links oder zentriert
+                        \ifgfbskompakt
+                           \hbox to \gfbsvolleeinheit{\gfbsrulefill}\kern\gfbsueberlappung
+                           \nobreak
+                           \hskip-0.5\gfbseinheit
+                           \hskip-0.5\gfbssdicke
+                           \ifgfbsnegdirekt
+                              \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+                           \else
+                              \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+                              \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+                           \fi
+                           \nobreak
+                           \hskip-0.5\gfbssdicke
+                           \hskip0.5\gfbseinheit
+                        \else
+                           \hbox to \gfbsvolleeinheit{\gfbsrulefill}\kern\gfbsueberlappung
+                           \nobreak
+                           \hskip-\gfbseinheit
+                           \ifgfbsnegdirekt
+                              \vrule width \gfbssdicke height \gfbshoehe depth \gfbsnegdp
+                           \else
+                              \gfbsneght=.01\gfbshoehe \multiply\gfbsneght by \gfbsnegpct
+                              \vrule width \gfbssdicke height \gfbsneght depth \gfbsnegdp
+                           \fi
+                           \nobreak
+                           \hskip-\gfbssdicke
+                           \hskip\gfbseinheit
+                        \fi
+                     \else\ifx #19% Drittelstrich
+                        \hbox to 0.333333\gfbsvolleeinheit{\gfbsrulefill}\kern0.3333\gfbsueberlappung
+                        \nobreak
+                     \else\ifx #1*% 5/3 Leerstelle
+                        \hskip1.666667\gfbseinheit
+                     \else
+                        \errhelp=\gfbsunbekanntessymbolhilfe
+                        \errmessage{`\string#1' is not allowed in a \string\* macro}%
+                     \fi\fi\fi\fi\fi\fi\fi\fi\fi
+                  \fi\fi\fi\fi\fi
+               \fi\fi\fi
+            \fi\fi\fi\fi\fi\fi\fi\fi
+         \fi\fi\fi\fi
+      \fi\fi\fi\fi\fi\fi
+   \fi
+}
+\let\discretionarytimes=\*
+\def\*#1#2#3{%
+   \ifx #1?% Schlussweise aus den Grundgesetzen
+      \ifgfggschlussweise
+         \gfbsschluss{#2}%
+         \gfbsschluss{#3}%
+      \else
+         \errhelp=\gfggschlussweisehilfe
+         \errmessage{You cannot use this construction in style Begriffsschrift}%
+      \fi
+   \else
+         \gfbsteilelement{#1}%
+         \gfbsteilelement{#2}%
+         \gfbsteilelement{#3}%
+   \fi
+}
+\def\toggleGGstyle{%
+   \ifgfbsuseGGstyle% gehe zum Stil der Begriffsschrift über
+      \gfbskompaktfalse
+      \gfbsfonoohnepunktfalse
+      \gfggschlussweisefalse
+      \gfbsnegdirektfalse
+      \gfbsuseGGstylefalse
+   \else% verwende den Stil der Grundgesetze
+      \gfbskompakttrue
+      \gfbsfonoohnepunkttrue
+      \gfggschlussweisetrue
+      \gfbsnegdirekttrue
+      \gfbsuseGGstyletrue
+   \fi
+   \gfbsneuestriche
+}
+\def\gfbsschluss#1{%
+   \ifx #1x% Wendung
+      \ifgfbszwischenzeichen
+         \kern\gfbsueberlappung
+         \hbox to 3\gfbsvolleeinheit{\hss$\diagdown$\llap{$\diagup$}\hss}%
+         \kern2\gfbsueberlappung
+      \else
+         \errhelp=\gfbszwischenzeichenhilfe
+         \errmessage{An `x' must be introduced by `\string>'}%
+      \fi
+      \gfbszwischenzeichenfalse
+   \else\ifx #1u% Wandlung
+     \ifgfbszwischenzeichen
+         \kern\gfbsueberlappung
+         \hbox to 3\gfbsvolleeinheit{$\setbox0=\hbox{$\braceld$}%
+            \bracelu\leaders\vrule height\ht0 depth0pt\hfill\braceru$}%
+         \kern2\gfbsueberlappung
+      \else
+         \errhelp=\gfbszwischenzeichenhilfe
+         \errmessage{An `u' must be introduced by `\string>'}%
+      \fi
+      \gfbszwischenzeichenfalse
+   \else
+      \ifgfbszwischenzeichen
+         \errhelp=\gfbszwischenzeichenfehlthilfe
+         \errmessage{Either `x' or `u' expected}%
+         \gfbszwischenzeichenfalse
+      \fi
+      \ifx #1-% einzeln: Strich
+         \hbox to 1.5\gfbsvolleeinheit{\gfggrulefill}\kern1.5\gfbsueberlappung
+      \else\ifx #1.% einzeln: zentrierter Punkt
+         \hbox to 1.5\gfbsvolleeinheit{\hss$\cdot$\hss}\kern1.5\gfbsueberlappung
+      \else
+         \ifx #1=% doppelt: Strich oben, Strich unten
+            \vrule height \gfbsos depth -\gfbsus width 1.5\gfbsvolleeinheit
+            \nobreak
+            \hskip-1.5\gfbsvolleeinheit
+            \vrule height \gfbsfdicke depth 0pt width 1.5\gfbsvolleeinheit
+            \kern1.5\gfbsueberlappung
+         \else\ifx #1*% doppelt: Strich oben, leer unten
+            \vrule height \gfbsos depth -\gfbsus width 1.5\gfbsvolleeinheit
+            \kern1.5\gfbsueberlappung
+         \else
+            \ifx #1_% Leerraum
+               \hskip1.5\gfbseinheit
+            \else\ifx #1"% Leerstelle
+               \relax 
+            \else\ifx #1>% Einzelsymbol (Wendung oder Wandlung) folgt
+               \gfbszwischenzeichentrue
+            \else % nicht erlaubt
+               \errhelp=\gfbsunbekannterschlusshilfe
+               \errmessage{`\string#1' is not allowed in a \string\*? macro}%
+            \fi\fi\fi
+         \fi\fi
+      \fi\fi
+   \fi\fi
+}
+\newcount\gfbswiederholung
+\def\wdh#1#2#3#4#5{%
+   \gfbswiederholung=#1
+   \ifnum\gfbswiederholung<0
+      \errhelp=\gfbsnegwdhhilfe
+      \errmessage{Repetition count cannot be negative, found \string#1}%
+   \else
+      \loop
+      \ifnum\gfbswiederholung>0
+         #2#3#4#5%
+         \advance\gfbswiederholung by -1
+      \repeat
+   \fi
+}
+\def\nzp#1{%
+   \ifvmode\noindent\else\hfil\break\fi
+   \gfbsstrut
+   \hskip#1\gfbselementdimen
+   \relax
+   \global\gfbsfonosenken=0pt
+}
+\let\nlp\nzp
+\def\gfbsstrut{%
+   \relax\ifmmode\copy\gfbsbox\else\unhcopy\gfbsbox\fi
+}
+\def\gfbsabstandzuruecksetzen{%
+   \global\gfbsboxht=\ht\strutbox  \global\gfbsboxdp=\dp\strutbox
+   \global\setbox\gfbsbox=\hbox{%
+             \vrule height\the\gfbsboxht depth\the\gfbsboxdp width0pt }%
+}
+\gfbsabstandzuruecksetzen
+\def\gfbssetzeabstand#1#2{%
+   \global\gfbsboxht=#1pt \global\gfbsboxdp=#2pt %
+   \global\setbox\gfbsbox=\hbox{%
+             \vrule height\the\gfbsboxht depth\the\gfbsboxdp width0pt }%
+}
+\def\gfbsreduziereabstandum#1#2{%
+   \global\advance\gfbsboxht by -0.#1#2\gfbsboxht
+   \global\advance\gfbsboxdp by -0.#1#2\gfbsboxdp
+   \global\setbox\gfbsbox=\hbox{%
+             \vrule height\the\gfbsboxht depth\the\gfbsboxdp width0pt }%
+}
+\def\zi#1{%
+   \hbox to \gfbselementdimen{\rm\thinspace #1\hss}\ignorespaces
+}
+\def\ze#1{%
+   \hbox{\rm\thinspace #1}%
+}
+\newif\ifgfbsinnen % false: Zeichen werden mit \ze gesetzt, true: mit \zi
+\def\nzpz#1#2{\nzp{#1}\llap{#2}}
+\let\nlpz\nzpz
+\def\fono#1{%
+   \hfill\lower\gfbsfonosenken\hbox{\rm({\ff #1}\ifgfbsfonoohnepunkt\else.\fi}%
+}
+\def\bss#1/#2#3:#4#5\ess{%
+   \nzp{#1}%
+   \ifx #2l%
+      \ifx #4.%
+         \hbox to \gfbseinheit{\rm\hss({\ff #3})\rlap{\kern\gfbsdpa:}\hss}%
+      \else\ifx #4:%
+         \hbox to \gfbseinheit{\rm\hss({\ff #3})\rlap{\kern\gfbsdpa:\kern\gfbsdpa:}\hss}%
+      \else
+         \errhelp=\gfbsdoppelpunkthilfe
+         \errmessage{Either a period or a colon is expected for the number of colons}%
+         \hbox to \gfbseinheit{\rm\hss({\ff #3})\rlap{\kern\gfbsdpa:\kern\gfbsdpa:}\hss}%
+      \fi\fi
+      \hskip2\gfbseinheit
+   \else\ifx #2r%
+      \hskip2\gfbseinheit
+      \ifx #4.%
+         \hbox to \gfbseinheit{\rm\hss({\ff #3})\rlap{\kern\gfbsdpa:}\hss}%
+      \else\ifx #4:%
+         \hbox to \gfbseinheit{\rm\hss({\ff #3})\rlap{\kern\gfbsdpa:\kern\gfbsdpa:}\hss}%
+      \else
+         \errhelp=\gfbsdoppelpunkthilfe
+         \errmessage{Either a period or a colon is expected for the number of colons}%
+         \hbox to \gfbseinheit{\rm\hss({\ff #3})\rlap{\kern\gfbsdpa:\kern\gfbsdpa:}\hss}%
+      \fi\fi
+   \else\ifx #2m%
+      \hskip\gfbseinheit
+      \ifx #4.%
+         \hbox to \gfbseinheit{\rm\hss({\ff #3})\rlap{\kern\gfbsdpa:}\hss}%
+      \else\ifx #4:%
+         \hbox to \gfbseinheit{\rm\hss({\ff #3})\rlap{\kern\gfbsdpa:\kern\gfbsdpa:}\hss}%
+      \else
+         \errhelp=\gfbsdoppelpunkthilfe
+         \errmessage{Either a period or a colon is expected for the number of colons}%
+         \hbox to \gfbseinheit{\rm\hss({\ff #3})\rlap{\kern\gfbsdpa:\kern\gfbsdpa:}\hss}%
+      \fi\fi
+      \hskip\gfbseinheit
+   \else
+      \errhelp=\gfbspositionunbekannthilfe
+      \errmessage{Only l, m, and r are allowed as position parameter}%
+      \hskip\gfbseinheit
+      \ifx #4.%
+         \hbox to \gfbseinheit{\rm\hss({\ff #3})\rlap{\kern\gfbsdpa:}\hss}%
+      \else\ifx #4:%
+         \hbox to \gfbseinheit{\rm\hss({\ff #3})\rlap{\kern\gfbsdpa:\kern\gfbsdpa:}\hss}%
+      \else
+         \errhelp=\gfbsdoppelpunkthilfe
+         \errmessage{Either a period or a colon is expected for the number of colons}%
+         \hbox to \gfbseinheit{\rm\hss({\ff #3})\rlap{\kern\gfbsdpa:\kern\gfbsdpa:}\hss}%
+      \fi\fi
+      \hskip\gfbseinheit         
+   \fi\fi\fi
+   {\let\gfbsrulefill\gfggrulefill #5}%
+   \vadjust{\penalty-15}\ignorespaces
+}
+%
+% ab hier folgt die Zeilennotation
+%
+\newtoks\dsz \dsz={\xi}% wird für Buchstaben ß eingesetzt
+\newcount\gfbstmpcount
+\catcode`@=11
+\def\mynewskip{\alloc@2\skip\skipdef\insc@unt}
+\def\mynewtoks{\alloc@5\toks\toksdef\@cclvi}
+\catcode`@=12
+\gfbstmpcount=\gfbsmaxanzahlzeilen
+\ifgfbskeinesubst
+   \advance\gfbstmpcount by 1
+\else
+   \multiply\gfbstmpcount by 2
+\fi
+\let\rom\romannumeral
+\count255=1
+\loop
+   \expandafter\mynewtoks\csname gfbstoks\rom\count255\endcsname
+   \expandafter\mynewskip\csname gfbsskip\rom\count255\endcsname
+\ifnum\count255<\gfbstmpcount
+   \advance\count255 by 1
+\repeat
+\newcount\gfbshaengtan   \newcount\gfbsgehtbis    \newcount\gfbsanzahl
+\newif\ifgfbsdannwenn
+\newtoks\gfbselement    \newcount\gfbszeile
+\newcount\gfbsanzahlplus     \newcount\gfbsanzahlfest
+\newtoks\gfbsprefix
+\newif\ifgfbsaussagesichtbar  \gfbsaussagesichtbarfalse
+\newcount\gfbsgrenze   \newcount\gfbszaehler    
+\newif\ifgfbskeinekompaktehoehlung \gfbskeinekompaktehoehlungfalse
+\newcount\gfbserstezeile \newcount\gfbsersteanzahl \newcount\gfbserstegehtbis
+\newcount\gfbszweitezeile \newcount\gfbszweitegehtbis
+\newif\ifvzzz    \newif\ifvzez
+\newcount\gfbseinzug
+\newif\ifgfbsnurterminal
+\newcount\gfbsgrundeinzug    \newcount\gfbssubststart
+\gfbsgrundeinzug=0
+\gfbssubststart=\gfbsmaxanzahlzeilen \advance\gfbssubststart by 1
+\newif\ifgfbslognotation  \gfbslognotationfalse
+\newif\ifgfbszeigestats   \gfbszeigestatsfalse
+\newcount\gfbsmaxformelzeile
+\newcount\gfbsvorgaenger  \gfbsvorgaenger=0
+\def\setskip#1#2#3#4{%
+   %\skip-Register = \gfbsanzahl plus \gfbshaengtan minus \gfbsgehtbis
+   \global\csname gfbsskip\rom#1\endcsname=#2pt plus #3pt minus #4pt%
+}
+\def\verschlucke#1#2{\relax}
+\def\getskip#1.#2 #3 #4.#5 #6 #7.#8{%
+   \global\gfbsanzahl=#1%
+   \global\gfbshaengtan=#4%
+   \global\gfbsgehtbis=#7%
+   \verschlucke
+}
+\def\gfbsformel#1#2#3#4#5{%
+   \gfbsdannwennfalse
+   \ifx #1.% dann-wenn Beziehung
+      \gfbsdannwenntrue
+   \else\ifx #1-% dann-wenn
+      \gfbsdannwenntrue
+   \else\ifx #1+% dann-wenn
+      \gfbsdannwenntrue
+   \else\ifx #1*% Höhlung
+      \global\gfbsnurterminalfalse
+      \ifcat \noexpand#3a\else
+         \errhelp=\gfbskeinbuchstabeanhoehlungspositionhilfe
+         \errmessage{Symbol `\string#3' not allowed as variable}%
+      \fi
+      \bgroup\gfbsvorgaenger=2 
+      \ifx #2.\ifx #4.\ifgfbskeinekompaktehoehlung\else
+         \gfbsvorgaenger=3
+      \fi\fi\fi \gfbsformel #5{}{}{}{}\egroup
+      \expandafter\getskip\the\csname gfbsskip\rom\gfbszeile\endcsname
+      \gfbstmpcount=0 % Anzahl der benutzen .
+      \ifx #2-%
+         \ifnum\gfbsvorgaenger<2 \gfbselement={\*,#3}%
+         \else\ifnum\gfbsvorgaenger=2 \gfbselement={\*`#3}%
+         \else\gfbselement={\*7#3}%
+         \fi\fi
+      \else\ifx #2+%
+         \gfbselement={\*;#3}%
+      \else\ifx #2.%
+         \gfbselement={\*.#3}\gfbstmpcount=1
+      \else
+         \errhelp=\gfbsfalschesvzhilfe
+         \errmessage{Symbol `\string#2' not allowed as sign}%
+         \gfbselement={\*___}\gfbsprefix={\*___}\gfbsanzahlfest=3
+      \fi\fi\fi
+      \ifx #4-% ebenso nach der Höhlung
+         \gfbselement=\expandafter{\the\gfbselement,}%
+      \else\ifx #4+%
+         \gfbselement=\expandafter{\the\gfbselement;}%
+      \else\ifx #4.%
+         \gfbselement=\expandafter{\the\gfbselement.}%
+         \advance\gfbstmpcount by 1
+      \else
+         \errhelp=\gfbsfalschesvzhilfe
+         \errmessage{Symbol `\string#4' not allowed as sign}%
+         \gfbselement={\*___}\gfbsprefix={\*___}\gfbsanzahlfest=3
+      \fi\fi\fi
+      \ifnum\gfbstmpcount=2
+         \ifgfbskeinekompaktehoehlung
+            \gfbsprefix={\*___}\gfbsanzahlfest=3
+         \else\gfbselement={\*$#3$}\gfbsprefix={\*5__}\gfbsanzahlfest=2
+         \fi
+      \else
+         \gfbsprefix={\*___}\gfbsanzahlfest=3
+      \fi
+      \gfbsanzahlplus=3
+      \edef\gfbstoken{\the\gfbselement\the\csname gfbstoks\rom\gfbszeile\endcsname}%
+      \global\csname gfbstoks\rom\gfbszeile\endcsname=\expandafter{\gfbstoken}%
+      \ifgfbskompakt
+         \global\advance\gfbsanzahl by \gfbsanzahlfest
+      \else
+         \global\advance\gfbsanzahl by \gfbsanzahlplus
+      \fi
+      \setskip{\the\gfbszeile}{\the\gfbsanzahl}{\the\gfbshaengtan}{\the\gfbsgehtbis}%
+      \gfbsfuegelinksan{\gfbszeile}{\gfbsgehtbis}%
+   \else\ifx #1=% Aussage
+      \global\gfbsnurterminalfalse
+      \def\gfbstest{#4}%
+      \ifx\gfbstest\empty
+         \def\gfbstest{#5}%
+         \ifx\gfbstest\empty\else
+            \errhelp=\gfbszuvieleparameterhilfe
+            \errmessage{Too many parameters for statement (found `\string#5')}%
+         \fi
+      \else
+         \errhelp=\gfbszuvieleparameterhilfe
+         \errmessage{Too many parameters for statement (found `\string#4')}%
+      \fi
+      \bgroup\gfbsvorgaenger=4 \gfbsformel #3{}{}{}{}\egroup
+      \expandafter\getskip\the\csname gfbsskip\rom\gfbszeile\endcsname
+      \ifx #2-% auf Negation bzw. doppelte Negation prüfen
+         \ifnum\gfbsvorgaenger>6 \gfbselement={\*484}\else\gfbselement={\*4~4}\fi
+         \gfbsprefix={\*5_5}\gfbsanzahlfest=1
+      \else\ifx #2+%
+         \ifnum\gfbsvorgaenger>6 \gfbselement={\*424}\else\gfbselement={\*4+4}\fi
+         \gfbsprefix={\*5_5}\gfbsanzahlfest=1
+      \else\ifx #2.%
+         \ifgfbsaussagesichtbar
+            \gfbselement={\*4-4}\gfbsprefix={\*5_5}\gfbsanzahlfest=1
+         \else
+            \gfbselement={\*444}\gfbsprefix={\*555}\gfbsanzahlfest=0
+         \fi
+      \else
+         \errhelp=\gfbsfalschesvzhilfe
+         \errmessage{Symbol `\string#2' not allowed as sign}%
+         \gfbselement={\*___}\gfbsprefix={\*___}\gfbsanzahlfest=3
+      \fi\fi\fi
+      \gfbsanzahlplus=3
+      \edef\gfbstoken{\the\gfbselement\the\csname gfbstoks\rom\gfbszeile\endcsname}%
+      \global\csname gfbstoks\rom\gfbszeile\endcsname=\expandafter{\gfbstoken}%
+      \ifgfbskompakt
+         \global\advance\gfbsanzahl by \gfbsanzahlfest
+      \else
+         \global\advance\gfbsanzahl by \gfbsanzahlplus
+      \fi
+      \setskip{\the\gfbszeile}{\the\gfbsanzahl}{\the\gfbshaengtan}{\the\gfbsgehtbis}%
+      \gfbsfuegelinksan{\gfbszeile}{\gfbsgehtbis}%
+   \else\ifx #1!% Sequenz oder Makroaufruf
+      \gfbselement=\expandafter{#2#3#4#5}%
+      \edef\gfbstoken{\the\gfbselement}%
+      \bgroup\expandafter\gfbsformel\gfbstoken {}{}{}{}\egroup
+   \else % einzelnes Zeichen
+      \ifgfbsinnen
+         \gfbselement={\zi{$#1#2#3#4#5$}}%
+      \else
+         \gfbselement={\ze{$#1#2#3#4#5$}}%
+      \fi
+      \edef\gfbstoken{\the\gfbselement\the\csname gfbstoks\rom\gfbszeile\endcsname}%
+      \global\csname gfbstoks\rom\gfbszeile\endcsname=\expandafter{\gfbstoken}%
+      \setskip{\the\gfbszeile}3{\the\gfbszeile}{\the\gfbszeile}%
+   \fi\fi\fi\fi\fi\fi
+   \ifgfbsdannwenn
+      \global\gfbsnurterminalfalse
+      \bgroup\gfbsvorgaenger=5 \gfbsformel #3{}{}{}{}\egroup
+      \expandafter\getskip\the\csname gfbsskip\rom\gfbszeile\endcsname
+      \gfbserstezeile=\gfbszeile
+      \gfbsersteanzahl=\gfbsanzahl
+      \gfbserstegehtbis=\gfbsgehtbis
+      \gfbszeile=\gfbsgehtbis \advance\gfbszeile by 1
+      \bgroup\gfbsvorgaenger=6 \gfbsformel #5{}{}{}{}\egroup
+      \expandafter\getskip\the\csname gfbsskip\rom\gfbszeile\endcsname
+      \gfbszweitezeile=\gfbszeile
+      \gfbszweitegehtbis=\gfbsgehtbis
+      \global\vzezfalse
+      \ifx #2-%
+         \global\vzeztrue
+      \else\ifx #2+%
+         \global\vzeztrue
+      \else\ifx #2.\else
+         \errhelp=\gfbsfalschesvzhilfe
+         \errmessage{Symbol `\string#2' not allowed as sign}%
+         \gfbselement={\*___}\gfbsprefix={\*___}\gfbsanzahlfest=3
+      \fi\fi\fi
+      \global\vzzzfalse
+      \ifx #4-%
+         \global\vzzztrue
+      \else\ifx #4+%
+         \global\vzzztrue
+      \else\ifx #4.\else
+         \errhelp=\gfbsfalschesvzhilfe
+         \errmessage{Symbol `\string#4' not allowed as sign}%
+         \gfbselement={\*___}\gfbsprefix={\*___}\gfbsanzahlfest=3
+      \fi\fi\fi
+      {\advance\gfbsersteanzahl by -\gfbsanzahl
+      \ifnum\gfbsersteanzahl>0 % fülle zweite Zeile auf
+         \advance\gfbsersteanzahl by -1
+         \gfbstmpcount=\gfbsersteanzahl
+         \loop
+         \ifnum\gfbstmpcount>2
+            \advance\gfbstmpcount by -3
+         \repeat
+         \ifcase\gfbstmpcount
+            \gfbselement={\*""}\gfbsprefix={\*""_}\gfbsanzahlplus=1 \gfbsanzahlfest=1
+         \or\gfbselement={\*"-}\gfbsprefix={\*"__}\gfbsanzahlplus=2 \gfbsanzahlfest=2
+         \or\gfbselement={\*-}\gfbsprefix={\*___}\gfbsanzahlplus=3 \gfbsanzahlfest=3
+         \fi
+         \advance\gfbsersteanzahl by -\gfbstmpcount
+         \ifnum\gfbstmpcount=2
+            \gfbselement=\expandafter{\the\gfbselement-}%
+         \fi
+         \ifvzzz
+            \ifx #4-%
+               \gfbselement=\expandafter{\the\gfbselement(}%
+            \else
+               \gfbselement=\expandafter{\the\gfbselement+}%
+            \fi
+            \global\vzzzfalse
+         \else
+            \gfbselement=\expandafter{\the\gfbselement-}%
+         \fi
+         \edef\gfbstoken{\the\gfbselement\the\csname gfbstoks\rom\gfbszeile\endcsname}%
+         \global\csname gfbstoks\rom\gfbszeile\endcsname=\expandafter{\gfbstoken}%
+         \ifgfbskompakt
+            \global\advance\gfbsanzahl by \gfbsanzahlfest
+         \else
+            \global\advance\gfbsanzahl by \gfbsanzahlplus
+         \fi
+         \setskip{\the\gfbszeile}{\the\gfbsanzahl}{\the\gfbshaengtan}{\the\gfbsgehtbis}%
+         \gfbsfuegelinksan{\gfbszeile}{\gfbsgehtbis}%
+         \gfbselement={\*---}\gfbsprefix={\*___}\gfbsanzahlfest=3 \gfbsanzahlplus=3
+         \loop
+         \ifnum\gfbsersteanzahl>2
+            \edef\gfbstoken{\the\gfbselement\the\csname gfbstoks\rom\gfbszeile\endcsname}%
+            \global\csname gfbstoks\rom\gfbszeile\endcsname=\expandafter{\gfbstoken}%
+            \ifgfbskompakt
+               \global\advance\gfbsanzahl by \gfbsanzahlfest
+            \else
+               \global\advance\gfbsanzahl by \gfbsanzahlplus
+            \fi
+            \setskip{\the\gfbszeile}{\the\gfbsanzahl}{\the\gfbshaengtan}{\the\gfbsgehtbis}%
+            \gfbsfuegelinksan{\gfbszeile}{\gfbsgehtbis}%
+            \advance\gfbsersteanzahl by -3
+         \repeat
+      \fi
+      \ifnum\gfbsersteanzahl<0 % fülle erste Zeile auf
+         \advance\gfbsersteanzahl by 1
+         \gfbstmpcount=-\gfbsersteanzahl
+         \loop
+         \ifnum\gfbstmpcount>2
+            \advance\gfbstmpcount by -3
+         \repeat
+         \ifcase\gfbstmpcount
+            \gfbselement={\*""}\gfbsprefix={\*""_}\gfbsanzahlplus=1 \gfbsanzahlfest=1
+         \or\gfbselement={\*"-}\gfbsprefix={\*"__}\gfbsanzahlplus=2 \gfbsanzahlfest=2
+         \or\gfbselement={\*-}\gfbsprefix={\*___}\gfbsanzahlplus=3 \gfbsanzahlfest=3
+         \fi
+         \advance\gfbsersteanzahl by \gfbstmpcount
+         \ifnum\gfbstmpcount=2
+            \gfbselement=\expandafter{\the\gfbselement-}%
+         \fi
+         \ifvzez
+            \ifx #2-%
+               \gfbselement=\expandafter{\the\gfbselement(}%
+            \else
+               \gfbselement=\expandafter{\the\gfbselement+}%
+            \fi
+            \global\vzezfalse
+         \else
+            \gfbselement=\expandafter{\the\gfbselement-}%
+         \fi
+         \advance\gfbstmpcount by 1
+         \edef\gfbstoken{\the\gfbselement\the\csname gfbstoks\rom\gfbserstezeile\endcsname}%
+         \global\csname gfbstoks\rom\gfbserstezeile\endcsname=\expandafter{\gfbstoken}%
+         \global\advance\csname gfbsskip\rom\gfbserstezeile\endcsname by \number\gfbstmpcount pt
+         \gfbsfuegelinksan{\gfbserstezeile}{\gfbserstegehtbis}%
+         \gfbselement={\*---}\gfbsprefix={\*___}\gfbsanzahlfest=3 \gfbsanzahlplus=3
+         \loop
+         \ifnum\gfbsersteanzahl<-2
+            \edef\gfbstoken{\the\gfbselement\the\csname gfbstoks\rom\gfbserstezeile\endcsname}%
+            \global\csname gfbstoks\rom\gfbserstezeile\endcsname=\expandafter{\gfbstoken}%
+            \global\advance\csname gfbsskip\rom\gfbserstezeile\endcsname by 3 pt
+            \gfbsfuegelinksan{\gfbserstezeile}{\gfbserstegehtbis}%
+            \advance\gfbsersteanzahl by 3
+         \repeat
+      \fi}%
+      \gfbszeile=\gfbserstezeile
+      \expandafter\getskip\the\csname gfbsskip\rom\gfbszeile\endcsname
+      \gfbsanzahlfest=0
+      \gfbsanzahlplus=3
+      \ifx #1-% auf Negation bzw. doppelte Negation prüfen
+         \ifnum\gfbsvorgaenger<2 \gfbselement={\*):}%
+         \else\ifnum\gfbsvorgaenger<4 \gfbselement={\*~:}%
+         \else\ifnum\gfbsvorgaenger<7 \gfbselement={\*8:}%
+         \else\gfbselement={\*0:}\fi\fi\fi
+         \gfbsprefix={\*_!}\gfbsanzahlfest=2
+      \else\ifx #1+%
+         \ifnum\gfbsvorgaenger<2 \gfbselement={\*/:}%
+         \else\ifnum\gfbsvorgaenger>6 \gfbselement={\*1:}%
+         \else\gfbselement={\*+:}%
+         \fi\fi
+         \gfbsprefix={\*_!}\gfbsanzahlfest=2
+      \else\ifx #1.%
+         \gfbselement={\*4:}\gfbsprefix={\*5!}\gfbsanzahlfest=1
+      \fi\fi\fi
+      \ifvzez
+         \ifx #2-%
+            \gfbselement=\expandafter{\the\gfbselement(}%
+         \else
+            \gfbselement=\expandafter{\the\gfbselement+}%
+         \fi
+         \advance\gfbsanzahlfest by 1
+         \gfbsprefix=\expandafter{\the\gfbsprefix_}%
+      \else
+         \ifvzzz
+            \gfbselement=\expandafter{\the\gfbselement-}%
+            \advance\gfbsanzahlfest by 1
+            \gfbsprefix=\expandafter{\the\gfbsprefix_}%
+         \else
+            \gfbselement=\expandafter{\the\gfbselement4}%
+            \gfbsprefix=\expandafter{\the\gfbsprefix5}%
+         \fi
+      \fi
+      \edef\gfbstoken{\the\gfbselement\the\csname gfbstoks\rom\gfbszeile\endcsname}%
+      \global\csname gfbstoks\rom\gfbszeile\endcsname=\expandafter{\gfbstoken}%
+      \ifgfbskompakt
+         \global\advance\gfbsanzahl by \gfbsanzahlfest
+      \else
+         \global\advance\gfbsanzahl by \gfbsanzahlplus
+      \fi
+      \setskip{\the\gfbszeile}{\the\gfbsanzahl}{\the\gfbshaengtan}{\the\gfbsgehtbis}%
+      \gfbsfuegelinksan{\gfbszeile}{\gfbsgehtbis}%
+      \gfbszeile=\gfbszweitezeile
+      \expandafter\getskip\the\csname gfbsskip\rom\gfbszeile\endcsname
+      \gfbsanzahlplus=3
+      \ifx #1.%
+         \gfbselement={\*5}\gfbsprefix={\*5}\gfbsanzahlfest=0
+      \else
+         \gfbselement={\*_}\gfbsprefix={\*_}\gfbsanzahlfest=1
+      \fi
+      \ifvzzz
+         \ifx #4-%
+            \gfbselement=\expandafter{\the\gfbselement'(}%
+         \else
+            \gfbselement=\expandafter{\the\gfbselement'+}%
+         \fi
+         \advance\gfbsanzahlfest by 2
+         \gfbsprefix=\expandafter{\the\gfbsprefix__}%
+      \else
+         \ifvzez
+            \gfbselement=\expandafter{\the\gfbselement'-}%
+            \advance\gfbsanzahlfest by 2
+            \gfbsprefix=\expandafter{\the\gfbsprefix__}%
+         \else
+            \gfbselement=\expandafter{\the\gfbselement'4}%
+            \advance\gfbsanzahlfest by 1
+            \gfbsprefix=\expandafter{\the\gfbsprefix_5}%
+      \fi\fi
+      \edef\gfbstoken{\the\gfbselement\the\csname gfbstoks\rom\gfbszeile\endcsname}%
+      \global\csname gfbstoks\rom\gfbszeile\endcsname=\expandafter{\gfbstoken}%
+      \ifgfbskompakt
+         \global\advance\gfbsanzahl by \gfbsanzahlfest
+      \else
+         \global\advance\gfbsanzahl by \gfbsanzahlplus
+      \fi
+      \setskip{\the\gfbszeile}{\the\gfbsanzahl}{\the\gfbshaengtan}{\the\gfbsgehtbis}%
+      \gfbsfuegelinksan{\gfbszeile}{\gfbsgehtbis}%
+      \setskip{\the\gfbszweitezeile}{\the\gfbsanzahl}{\the\gfbserstezeile}{\the\gfbsgehtbis}%
+      \gfbszeile=\gfbserstezeile
+      \expandafter\getskip\the\csname gfbsskip\rom\gfbszeile\endcsname
+      \setskip{\the\gfbszeile}{\the\gfbsanzahl}{\the\gfbshaengtan}{\the\gfbszweitegehtbis}%
+   \fi
+}
+\def\gfbsfuegelinksan#1#2{\bgroup
+   \gfbstmpcount=0 \advance\gfbstmpcount by #2% höchste zu ändernde Zeilennummer
+   \count255=0 \advance\count255 by #1% Startzeile (nicht zu ändern)
+   \loop
+   \ifnum\gfbstmpcount>\count255
+      \edef\gfbstoken{\the\gfbsprefix\the\csname gfbstoks\rom\gfbstmpcount\endcsname}%
+      \global\csname gfbstoks\rom\gfbstmpcount\endcsname=\expandafter{\gfbstoken}%
+      \ifgfbskompakt
+         \global\advance\csname gfbsskip\rom\gfbstmpcount\endcsname
+                        by \number\gfbsanzahlfest pt
+      \else
+         \global\advance\csname gfbsskip\rom\gfbstmpcount\endcsname
+                        by \number\gfbsanzahlplus pt
+      \fi
+      \advance\gfbstmpcount by -1
+   \repeat
+\egroup}
+\outer\def\formel p#1#2#3{%
+   \global\gfbseinzug=#1%
+   \global\gfbszeile=1
+   \setskip 1011
+   \gfbsanzahlfest=0 \gfbsanzahlplus=0 \gfbsprefix={}\gfbselement={}%
+   \gfbsnurterminaltrue
+   \bgroup\gfbsvorgaenger=8 \gfbsformel #3{}{}{}{}\egroup
+   \expandafter\getskip\the\csname gfbsskip\rom\gfbszeile\endcsname
+   \ifx #2|% | markiert ein Urteil, sonst ist es eine Vorstellung
+      \gfbsprefix={\*55_}%
+      \ifnum\gfbsanzahl<4 % Formel besteht nur aus einem Terminal
+         \ifgfbsnurterminal
+            \errhelp=\gfbsnurterminalhilfe
+            \errmessage{No Frege formula entered}%
+            \gfbselement={\*55]}\gfbsanzahlfest=1
+         \else\gfbselement={\*5]9}\gfbsanzahlfest=2
+         \fi
+      \else\gfbselement={\*556}\gfbsanzahlfest=1
+      \fi
+   \else\ifx #2.%
+      \gfbsprefix={\*555}%
+      \ifnum\gfbsanzahl<4 % Formel besteht nur aus einem Terminal
+         \ifgfbsnurterminal
+            \errhelp=\gfbsnurterminalhilfe
+            \errmessage{No Frege formula entered}%
+            \gfbselement={\*555}\gfbsanzahlfest=0
+         \else\gfbselement={\*559}\gfbsanzahlfest=1
+         \fi
+      \else\gfbselement={\*554}\gfbsanzahlfest=0
+      \fi
+   \else
+      \errhelp=\gfbsfalscherstarthilfe
+      \errmessage{Unknown formula type `\string#2'}%
+      \gfbselement={\*___}\gfbsprefix={\*___}\gfbsanzahlfest=3
+   \fi\fi
+   \gfbsanzahlplus=3
+   \edef\gfbstoken{\the\gfbselement\the\csname gfbstoks\rom\gfbszeile\endcsname}%
+   \global\csname gfbstoks\rom\gfbszeile\endcsname=\expandafter{\gfbstoken}%
+   \ifgfbskompakt
+      \global\advance\gfbsanzahl by \gfbsanzahlfest
+   \else
+      \global\advance\gfbsanzahl by \gfbsanzahlplus
+   \fi
+   \setskip{\the\gfbszeile}{\the\gfbsanzahl}{\the\gfbshaengtan}{\the\gfbsgehtbis}%
+   \gfbsfuegelinksan{\gfbszeile}{\gfbsgehtbis}%
+   \expandafter\getskip\the\gfbsskipi\relax
+   \ifnum\gfbsmaxformelzeile<\gfbsgehtbis
+      \global\gfbsmaxformelzeile=\gfbsgehtbis
+      \ifgfbszeigestats\zeigezeilenstatistik\fi
+   \fi
+   \gfbszaehler=\gfbshaengtan
+   \gfbsgrenze=1 \advance\gfbsgrenze by \gfbsgehtbis
+   \gfbszeile=\gfbssubststart
+   \ifnum\gfbsgrundeinzug>0
+      \advance\gfbseinzug by -\gfbsgrundeinzug
+      \ifnum\gfbseinzug>0\else
+         \errhelp=\gfbsposabstandhilfe
+         \errmessage{The formula must be positioned to the right of substitutions}%
+         \gfbseinzug=2
+   \fi\fi
+   \par\noindent\leavevmode
+   \vbox\bgroup\offinterlineskip
+      \loop
+      \ifnum\gfbszaehler<\gfbsgrenze
+         \bgroup
+            \count255=\csname gfbsskip\rom\gfbszeile\endcsname
+            \divide\count255 by 65536
+            \gfbstmpcount=\count255
+            \divide\gfbstmpcount by 3
+            \advance\gfbseinzug by -\gfbstmpcount
+            \multiply\gfbstmpcount by -3
+            \advance\gfbstmpcount by \count255
+            \ifcase\gfbstmpcount
+               \edef\gfbstoken{\noexpand\wdh\noexpand{\the\gfbseinzug
+                               \noexpand}\noexpand\*___}%
+            \or
+               \advance\gfbseinzug by -1
+               \edef\gfbstoken{\noexpand\*"__\noexpand\wdh\noexpand{\the\gfbseinzug
+                               \noexpand}\noexpand\*___}%
+            \or
+               \advance\gfbseinzug by -1
+               \edef\gfbstoken{\noexpand\*""_\noexpand\wdh\noexpand{\the\gfbseinzug
+                               \noexpand}\noexpand\*___}%
+            \fi
+            \global\gfbselement=\expandafter{\gfbstoken}%
+         \egroup
+         \hbox{%
+            \nlp{\the\gfbsgrundeinzug}%
+            \the\csname gfbstoks\rom\gfbszeile\endcsname
+            \the\gfbselement
+            \the\csname gfbstoks\rom\gfbszaehler\endcsname
+         }%
+         \ifgfbslognotation
+            \dimen255=\csname gfbsskip\rom\gfbszeile\endcsname
+            \wlog{\string\nlp\string{\the\gfbsgrundeinzug\string}}%
+            \ifdim\dimen255>0pt \wlog{\the\csname gfbstoks\rom\gfbszeile\endcsname}\fi
+            \wlog{\the\gfbselement}%
+            \wlog{\the\csname gfbstoks\rom\gfbszaehler\endcsname}%
+         \fi
+         \global\csname gfbstoks\rom\gfbszaehler\endcsname={}%
+         \global\csname gfbsskip\rom\gfbszaehler\endcsname=0pt
+         \global\advance\gfbszaehler by 1
+         \global\csname gfbstoks\rom\gfbszeile\endcsname={}%
+         \global\csname gfbsskip\rom\gfbszeile\endcsname=0pt
+         \ifgfbskeinesubst\else
+            \global\advance\gfbszeile by 1
+         \fi
+      \repeat
+      \ifgfbskeinesubst\else
+         \loop
+         \ifnum\csname gfbsskip\rom\gfbszeile\endcsname>0
+            \hbox{\nlp{\the\gfbsgrundeinzug}\the\csname gfbstoks\rom\gfbszeile\endcsname}%
+            \ifgfbslognotation
+               \wlog{\string\nlp\string{\the\gfbsgrundeinzug\string}}%
+               \wlog{\the\csname gfbstoks\rom\gfbszeile\endcsname}%
+            \fi
+            \global\csname gfbstoks\rom\gfbszeile\endcsname={}%
+            \global\csname gfbsskip\rom\gfbszeile\endcsname=0pt
+            \global\advance\gfbszeile by 1
+         \repeat
+      \fi
+   \egroup
+   \gfbsgrundeinzug=0
+}
+\def\gfbsaus p#1,#2"#3"mit#4\also{%
+   \global\gfbsgrundeinzug=#1%
+   \gfbszeile=\the\gfbssubststart
+   \ifgfbskeinesubst
+      \ifnum #2>0
+         \errhelp=\gfbsnurnullinaushilfe
+         \errmessage{Zero expected; read ``#2''}%
+      \fi
+   \else
+      \advance\gfbszeile by #2%
+   \fi
+   \global\csname gfbstoks\rom\gfbszeile\endcsname={\zi{\hss\thinspace #3\hss}}%
+   \setskip{\the\gfbszeile}3{\the\gfbszeile}{\the\gfbszeile}%
+   \gfbsanzahlfest=0 \gfbsanzahlplus=0 \gfbsprefix={}\gfbselement={}%
+   \def\next{#4}%
+   \ifx\next\empty
+   \else\ifgfbskeinesubst
+      \errhelp=\gfbskeinesubsthilfe
+      \errmessage{Substitutions disabled}%
+   \else
+      \bgroup
+       \gfbsinnentrue
+       \advance\gfbszeile by 1
+       \gfbssubst #4\gfbssubstend
+      \egroup
+   \fi\fi
+}
+\outer\def\aus p#1,#2"#3"mit#4\also{%
+   \gfbsaus p#1,#2"#3"mit#4\also
+}
+\outer\def\verwende p#1"#2"{%
+   \gfbsaus p#1,0"#2"mit\also
+}
+\let\ziehan\verwende
+\def\gfbssubst#1:#2 #3\gfbssubstend{%
+   \def\gfbstest{#1}%
+   \ifx\gfbstest\empty% Ende der Substitutionen
+      \null
+   \else
+      \def\gfbstest{#2}%
+      \ifx\gfbstest\empty
+         \if#1\ \else
+            \errhelp=\gfbsleeresubsthilfe
+            \errmessage{Empty substitution}%
+         \fi
+         \bgroup\gfbsformel \ {}{}{}{}{}\egroup
+      \else
+         \gfbsanzahlplus=0 \gfbsanzahlfest=0 \gfbsprefix={}\gfbselement={}%
+         \bgroup\gfbsvorgaenger=1 \gfbsformel #2{}{}{}{}{}\egroup
+      \fi
+      \expandafter\getskip\the\csname gfbsskip\rom\gfbszeile\endcsname
+      \gfbselement={\*_|_}\gfbsprefix={\*_|_}\gfbsanzahlfest=3 \gfbsanzahlplus=3
+      \edef\gfbstoken{\the\gfbselement\the\csname gfbstoks\rom\gfbszeile\endcsname}%
+      \global\csname gfbstoks\rom\gfbszeile\endcsname=\expandafter{\gfbstoken}%
+      \ifgfbskompakt
+         \global\advance\gfbsanzahl by \gfbsanzahlfest
+      \else
+         \global\advance\gfbsanzahl by \gfbsanzahlplus
+      \fi
+      \setskip{\the\gfbszeile}{\the\gfbsanzahl}{\the\gfbshaengtan}{\the\gfbsgehtbis}%
+      \gfbsfuegelinksan{\gfbszeile}{\gfbsgehtbis}%
+      \gfbselement={\llap{$#1$}}%
+      \edef\gfbstoken{\the\gfbselement\the\csname gfbstoks\rom\gfbszeile\endcsname}%
+      \global\csname gfbstoks\rom\gfbszeile\endcsname=\expandafter{\gfbstoken}%
+      \def\gfbstest{#3}%
+      \ifx\gfbstest\empty
+      \else
+         \gfbsanzahlplus=0 \gfbsanzahlfest=0 \gfbsprefix={}\gfbselement={}%
+         \bgroup
+          \gfbszeile=\gfbsgehtbis
+          \advance\gfbszeile by 1
+          \gfbssubst #3\gfbssubstend
+         \egroup
+      \fi
+   \fi
+}
+\outer\def\folgtmit p#1"#2"a#3p#4s#5{%
+    \gfbsgrundeinzug=#4 \advance\gfbsgrundeinzug by -#1
+    \advance\gfbsgrundeinzug by -1
+    \ifnum #1<#4\else
+       \errhelp=\gfbszweiteposzugrosshilfe
+       \errmessage{The second p-value must be larger than the first}%
+       \gfbsgrundeinzug=1
+    \fi
+    \ifnum 0>#5
+       \errhelp=\gfbskeinelaengehilfe
+       \errmessage{The s-value must be nonnegative}%
+    \fi
+    \ifx #3.%
+    \else
+       \ifx #3:\else
+          \errhelp=\gfbsdoppelpunktzahlhilfe
+          \errmessage{Invalid symbol `#3' for number of colons}%
+       \fi
+    \fi
+    \bss{#1}/m{#2}:#3\wdh{\the\gfbsgrundeinzug}\*___\wdh{#5}\*---\ess
+    \ifgfbslognotation
+       \wlog{\string\bss\string{#1\string}/m\string{#2\string}:#3%
+             \string\wdh\string{\the\gfbsgrundeinzug\string}\string\*___%
+             \string\wdh\string{#5\string}\string\*---\string\ess}%
+    \fi
+}
+\def\gfbsdurch p#1 #2\folgende{%
+   \ifgfbskeinesubst
+      \errhelp=\gfbskeinesubsthilfe
+      \errmessage{Substitutions disabled}%
+   \fi
+   \global\gfbsgrundeinzug=#1%
+   \gfbszeile=\the\gfbssubststart
+   \setskip{\the\gfbszeile}0{\the\gfbszeile}{\the\gfbszeile}%
+   \gfbsanzahlfest=0 \gfbsanzahlplus=0 \gfbsprefix={}\gfbselement={}%
+   \bgroup\gfbsinnentrue\gfbssubst #2\gfbssubstend\egroup
+}
+\outer\def\durch p#1 #2\folgende{%
+   \gfbsdurch p#1 #2\folgende
+}
+\def\formelName "#1"{%
+   \fono{#1}%
+   \ifgfbslognotation
+      \wlog{\string\fono\string{#1\string}}%
+      \wlog{==========}%
+      \wlog{}%
+   \fi
+   \ignorespaces
+}
+\outer\def\genannt{\formelName}
+\def\zeigezeilenstatistik{\bgroup
+   \message{^^JMaximum number of lines: \the\gfbsmaxformelzeile. }%
+\egroup}
+\def\frege#1#2{%
+   \global\gfbszeile=1
+   \setskip 1011
+   \gfbselement={}\gfbsprefix={}\gfbsanzahlfest=0 \gfbsanzahlplus=0 
+   \gfbsnurterminaltrue
+   \bgroup\gfbsvorgaenger=7 \gfbsformel #2{}{}{}{}\egroup
+   \expandafter\getskip\the\csname gfbsskip\rom\gfbszeile\endcsname
+   \ifx #1|% Urteil
+      \gfbsprefix={\*""_}%
+      \ifnum\gfbsanzahl<4
+         \ifgfbsnurterminal
+            \errhelp=\gfbsnurterminalhilfe
+            \errmessage{No Frege formula entered}%
+            \gfbselement={\*""[}\gfbsanzahlfest=1
+         \else\gfbselement={\*"]9}\gfbsanzahlfest=2
+         \fi
+      \else\gfbselement={\*""6}\gfbsanzahlfest=1
+   \fi
+   \else\ifx #1.%
+      \gfbsprefix={\*""5}%
+      \ifnum\gfbsanzahl<4
+         \ifgfbsnurterminal
+            \errhelp=\gfbsnurterminalhilfe
+            \errmessage{No Frege formula entered}%
+            \gfbselement={\*""5}\gfbsanzahlfest=0
+         \else\gfbselement={\*"--}\gfbsanzahlfest=2
+         \fi
+      \else\gfbselement={\*""4}\gfbsanzahlfest=0
+      \fi
+   \else
+      \errhelp=\gfbsfalscherstarthilfe
+      \errmessage{Unknown formula type `\string#1'}%
+      \gfbselement={\*""-}\gfbsprefix={\*""_}\gfbsanzahlfest=1
+   \fi\fi
+   \gfbsanzahlplus=1
+   \edef\gfbstoken{\the\gfbselement\the\csname gfbstoks\rom\gfbszeile\endcsname}%
+   \global\csname gfbstoks\rom\gfbszeile\endcsname=\expandafter{\gfbstoken}%
+   \ifgfbskompakt
+      \global\advance\gfbsanzahl by \gfbsanzahlfest
+   \else
+      \global\advance\gfbsanzahl by \gfbsanzahlplus
+   \fi
+   \setskip{\the\gfbszeile}{\the\gfbsanzahl}{\the\gfbshaengtan}{\the\gfbsgehtbis}%
+   \gfbsfuegelinksan{\gfbszeile}{\gfbsgehtbis}%
+   \expandafter\getskip\the\gfbsskipi\relax
+   \gfbszaehler=\gfbshaengtan \gfbsgrenze=1 \advance\gfbsgrenze by \gfbsgehtbis
+   \leavevmode\vtop\bgroup\offinterlineskip
+      \loop
+      \ifnum\gfbszaehler<\gfbsgrenze
+         \hbox{\gfbsstrut\the\csname gfbstoks\rom\gfbszaehler\endcsname}%
+         \global\csname gfbstoks\rom\gfbszaehler\endcsname={}%
+         \global\csname gfbsskip\rom\gfbszaehler\endcsname=0pt
+         \global\advance\gfbszaehler by 1
+      \repeat 
+   \egroup
+}
+\def\klammerfrege#1#2#3#4#5#6#7{% \frege#1#2 mit Klammern #3 und #4;
+% #5=1 <=> ohne \frege#1; #6 Boxtyp; #7 Boxnr.
+   \setbox0=\hbox{\ifnum#5=0 \frege#1{#2}\else#2\fi}\dimen0=\ht0
+   \setbox1=\hbox{(}\advance\dimen0 by .5\dp1
+   \setbox0=\hbox{\delimiterfactor=100 \delimitershortfall=8pt
+      $\left#3\vcenter{\box0}\right#4$}%
+   \dimen1=\ht0 \advance\dimen1 by -\dimen0
+   \ifnum#7>0 \ifnum#7<5
+      \global\setbox\csname gg#6box\romannumeral#7\endcsname=\hbox{%
+         \vbox to\dimen0{\hbox{\lower\dimen1\box0}}}%
+   \else\errhelp=\ggunbekannteboxnummer
+         \errmessage{The box number must be 1, 2, 3, or 4}%
+   \fi
+   \else\errhelp=\ggunbekannteboxnummer
+         \errmessage{The box number must be \string>0 and \string<5}%
+   \fi
+   \ignorespaces
+}
+\def\pfrege#1#2#3{\klammerfrege#2{#3}()0p{#1}}%
+\def\bfrege#1#2#3{\klammerfrege#2{#3}[]0b{#1}}%
+\def\pparens#1#2{\klammerfrege{}{$#2$}()1p{#1}}%
+\def\bparens#1#2{\klammerfrege{}{$#2$}[]1b{#1}}%
+\def\ggpoderbboxausgeben#1#2{\ifnum#1>0
+   \ifnum#1<5
+      \copy\csname gg#2box\romannumeral#1\endcsname
+   \else\errhelp=\ggunbekannteboxnummer
+         \errmessage{The box number must be 1, 2, 3, or 4}%
+         ???
+   \fi
+   \else\errhelp=\ggunbekannteboxnummer
+         \errmessage{The box number must be \string>0 and \string<5}%
+         ???
+\fi}
+\def\pfbox#1{\ggpoderbboxausgeben{#1}p}
+\def\bfbox#1{\ggpoderbboxausgeben{#1}b}
+%
+% weitere Einstellungen
+%
+\def\erklaerung p#1#2 #3#4=#5{%
+\ifgfbsuseGGstyle
+   \nlp{#1}\ifx #2|\*_[-\else\*_39\fi
+    $\;
+     \vtop{\hbox{%
+        \ifx #2:%
+           $#3#4$%
+        \else
+           \frege #3{#4}%
+        \fi}}
+     =\vtop{\hbox{$#5$}}$%
+ \else\nlp{#1}\ifx #2|\*_[-\else\*_3-\fi
+    $\left\lgroup
+     \left\lgroup
+       \vcenter{\hbox{\frege #3{#4}}}
+     \right\rgroup
+     \equiv\vcenter{\hbox{$#5$}}%
+     \right\rgroup$%
+ \fi
+}
+\def\gfvererbe#1#2#3#4{{%
+   \setbox0=\vbox{\offinterlineskip\hbox{\gfbsstrut$#1$}\hbox{$\vert$}\hbox{\gfbsstrut$#2$}}%
+   \setbox2=\vbox{\offinterlineskip\hbox{\gfbsstrut$#3$}\hbox{\phantom{$\vert$}}\hbox{\gfbsstrut$#4$}}%
+   \ifdim\ht0>\ht2
+        \global\gfbsfonosenken=0.5\ht0 \global\advance\gfbsfonosenken by -\dp0
+   \else\global\gfbsfonosenken=0.5\ht2 \global\advance\gfbsfonosenken by -\dp2 \fi
+   \vcenter{\unvbox0 }\!\left(\vcenter{\unvbox2 }\right.%
+}}
+\def\gffolgt#1#2#3{%
+   \!\!{\textstyle\phantom t#1\atop\textstyle\phantom)\widetilde#2}#3%
+}
+\def\gfgehoertan#1#2#3{%
+   \!\!{\textstyle\phantom t\underline#1\atop\textstyle\phantom{)}\widetilde#2}#3%
+}
+\def\gfeindeutig#1#2#3{{%
+   \setbox0=\vbox{\offinterlineskip\hbox{\gfbsstrut$#1$}\hbox{\rm I}\hbox{\gfbsstrut$#2$}}%
+   \setbox2=\vbox{\hbox{\gfbsstrut$#3$}}%
+   \ifdim\ht0>\ht2
+        \global\gfbsfonosenken=0.5\ht0 \global\advance\gfbsfonosenken by -\dp0
+   \else\global\gfbsfonosenken=0.5\ht2 \global\advance\gfbsfonosenken by -\dp2 \fi
+   \vcenter{\unvbox0 }\vcenter{\unvbox2 }%
+}}
+\def\G#1{%
+   \ifx#1!% 1. Eintrag
+      \hbox{$\scriptstyle\mathchar"0\hexno\cmbsyfam6E
+        \mkern-9.1mu
+        \mathchar"0\hexno\cmbsyfam6E$}%
+   \else\ifx#1^% 2. Eintrag
+     \mathbin{\raise.5ex
+      \hbox{$\scriptscriptstyle\mathchar"0\hexno\cmmibfam5F$}}%
+   \else\ifx#1>% 3. Eintrag
+      \hbox{$\mathchar"0269\thinspace$}%
+   \else\ifx#10% 4. Eintrag
+      {\rm0\raise.35ex\llap{$\scriptstyle\mathchar"026E$\kern.02em}}%
+   \else\ifx#11% 5. Eintrag
+      {\rm1\raise.35ex\llap{$\scriptscriptstyle\mathchar"026E$\kern.05em}}%
+   \else\ifx#1-% 6. Eintrag
+      \hbox{\lower1ex\hbox{$\acute{\raise1ex\hbox{{\tt\char95 }}}\>$}}%
+   \else\ifx#1~% 7. Eintrag
+     \hbox{%
+      \lower.7ex\hbox{$\acute{\raise.3ex\hbox{\smash{$\mathchar"0\hexno\msafam60$}}}\>$}}%
+   \else\ifx#1_% 8. Eintrag
+      \mathbin{\hbox{%
+         \vrule width0.4pt  height0.25ex depth0pt
+         \vrule width0.6em  height0.4pt  depth0pt
+         \vrule width0.4pt  height0.25ex depth0pt}}%
+   \else\ifx#1;% 9. Eintrag
+      \mathbin{\mskip-2mu;}%
+   \else\ifx#1<% 10. Eintrag
+     \mathbin{{\scriptstyle\mathchar"026E}%
+       \hskip-.375em \hbox to.5em{\rm
+         \leaders\hrule height 1.35ex depth -1.22ex\hfill}}%
+   \else\ifx#1*% 11. Eintrag
+     \mathord{{}_{\textstyle*\,}}%
+   \else\ifx#16% 12. Eintrag
+      \mathchar"0\hexno\msbfam67
+   \else\errhelp\ggkeinbekanntessymbol
+      \errmessage{^^JUnknown symbol after \string\G}%
+      ???
+   \fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
+}
+\newif\ifgefunden
+\def\ist #1 in #2?{%
+   \def\finde##1#1##2\ednif{%
+      \ifx\empty##2\empty
+         \gefundenfalse
+      \else
+         \gefundentrue
+      \fi
+   \ignorespaces}%
+   \finde#2#1\ednif
+}
+\def\gfwerteverlauf#1{%
+   \ist #1 in ae?\ifgefunden
+      \hbox{{$\mathaccent"0027\csname k#1\endcsname$}}%
+   \else\errhelp=\ggkeinvokalbuchstabe
+      \errmessage{The operator must be applied to a lowercase (greek) vowel}%
+      \mathaccent"0027\ka
+   \fi}%
+\def\kasl{\gfwerteverlauf{a}}
+\def\kesl{\gfwerteverlauf{e}}
+\def\GI{\hbox{\rm I\kern.05em}}
+\def\GU{\hbox{\ufont
+   \setbox0=\hbox{\ufont U}\dimen0=\wd0 \advance\dimen0 by.05em
+   \rlap{\raise.1ex\hbox to\dimen0{\leaders\hrule height.11ex\hfill\kern.1em}}\kern-.01em
+   \lower\ufdimii\box0\kern\ufdimi
+   \llap{\raise.4ex\hbox{$\the\gftextfontaenderung\mathchar"0\hexno\msbfam1F$}}%
+   \kern0.1em
+}}
+\ifggsymloaded
+   \let\GUorg=\GU 
+   \def\GU{\setbox0=\hbox{$\GUorg$}%
+      \mathord{\hbox to \wd0{\hss$\mathchar"0\hexno\ggfam55$\hss}}}%
+\fi
+\def\Gn{\hbox{\lower.2ex\hbox{\nfont
+      n\kern.1em}%
+      \llap{\raise.2ex\hbox{$\the\gftextfontaenderung\scriptstyle\mathchar"015E$}}}\kern.01em}
+\ifggsymloaded 
+   \let\Gnorg=\Gn
+   \def\Gn{\setbox0=\hbox{$\Gnorg$}%
+      \mathord{\hbox to \wd0{\hss$\the\gftextfontaenderung\mathchar"0\hexno\ggfam11$\hss}}}%
+\fi
+\def\Gbf{\mkern0mu \setbox0=\hbox{{\ffont f}}\ffont
+   \kern-.02em\copy0\kern-\wd0 \kern.04em\copy0\kern-\wd0
+   \kern-.02em\raise.03ex\box0 \kern.1em
+   \llap{\raise2ex\hbox{\ffont.}}}
+\let\Gff\Gbf
+\def\Guu{\mathop{\kern0pt
+   \smash{\hbox{$\scriptscriptstyle\mathchar"0\hexno\cmmibfam5E\mkern-4mu\mathchar"0\hexno\cmmibfam5E$}}}%
+   \limits^{\lower.1ex\hbox{{$\the\gftextfontaenderung\mathchar"015F$}}}}
+\def\Gfm{\mathbin{\mathop{\kern0pt \smash{-}}%
+   \limits^{\raise.2ex\hbox{$\scriptstyle\mathchar"2\hexno\msafam61$}}}}
+\def\Gsm{\mathbin{\mathop{\kern0pt \smash{-}}%
+  \limits^{\raise.2ex\hbox{$\scriptstyle\mathchar"2\hexno\msafam60$}}}}
+\newbox\ggunrotbox \newbox\ggrotbox
+\def\ggrotate#1#2#3{\global\setbox\ggunrotbox=\hbox{#1}%
+   \expandafter\ifx\csname rot#2\endcsname\relax
+     \message{^^JCan't do that kind of rotation.^^J}%
+     \global\setbox\ggrotbox=\copy\ggunrotbox
+   \else
+     \ifnum#3=0 \else\ht\ggunrotbox=#3ex \fi
+     \global\setbox\ggrotbox=\hbox{\csname rot#2\endcsname\ggunrotbox}%
+     \global\setbox\ggunrotbox=\hbox to\wd\ggrotbox{\hss#1\hss}%
+   \fi}
+\def\prtggrotbox{\ifggrotiere\box\ggrotbox\else\box\ggunrotbox\fi}
+\def\Gy{\ggrotate{\hbox{\accent22 y}}u1%
+   \mathbin{\prtggrotbox}}
+\def\Ge{\ggrotate{\lower.65ex\hbox{%
+       $\scriptscriptstyle\mathchar"0\hexno\cmmibfam2C$}%
+     \llap{e\kern-.1em}}u1%
+   \mathbin{\,\prtggrotbox\,}}
+\def\Gc{\ggrotate{\lower.64ex\hbox{%
+       $\scriptscriptstyle\mathchar"0\hexno\cmmibfam2C$}%
+     \llap{c\kern-.1em}}u1%
+   \mathbin{\,\prtggrotbox\,}}
+\def\Gmf{\mathbin{\mathop{\kern0pt \smash{\scriptstyle\mathchar"2\hexno\msafam61}}%
+   \limits^{\lower1ex\hbox{$\scriptstyle-$}}}}
+\def\Gf{\ggrotate{$f$}u0%
+   \mathord{\ifggrotiere\rlap{\raise.1ex\hbox{$\scriptstyle\gamma$}}\kern.025em\lower.5ex\box\ggrotbox
+            \else\rlap{\raise.4ex\hbox{$\scriptstyle\gamma$}}\kern.02em\box\ggunrotbox\fi}}
+\def\GF{\ggrotate{$F$}u1%
+   \mathbin{\prtggrotbox}}
+\def\Gl{\mathbin{\hbox{\l}}}
+\def\Gp{\mathord{%
+   \rlap{\raise.45ex\hbox{$\scriptstyle\gamma$}}\kern.15em
+   \hbox{$p$}\,}}
+\def\Gss{\ggrotate{\ss}u0%
+   \mathbin{\ifggrotiere\lower.5ex\box\ggrotbox\else\box\ggunrotbox\fi}}
+\let\Gsz\Gss
+% Zuordnung nach TUGboat, V.9, p.20
+\def\gA{A}
+\def\gB{B}
+\def\gG{{\it\Gamma}}
+\def\gD{{\it\Delta}}
+\def\gL{{\it\Lambda}}
+\def\gM{M}
+\def\gN{N}
+\def\gR{P}
+\def\gS{{\it\Sigma}}
+\def\gF{{\it\Phi}}
+\def\gQ{X}
+\def\gY{{\it\Psi}}
+\def\gE{E}
+\def\gZ{Z}
+\def\gH{H}
+\def\gJ{{\it\Theta}}
+\def\gI{I}
+\def\gK{K}
+\def\gX{{\it\Xi}}
+\def\gO{O}
+\def\gP{{\it\Pi}}
+\def\gT{T}
+\def\gU{{\it\Upsilon}}
+\def\gW{{\it\Omega}}
+\def\ka{\alpha}
+\def\kb{\beta}
+\def\kg{\gamma}
+\def\kd{\delta}
+\def\ke{\epsilon}
+\def\kz{\zeta}
+\def\kh{\eta}
+\def\kj{\vartheta}
+\def\ki{\iota}
+\def\kk{\kappa}
+\def\kl{\lambda}
+\def\km{\mu}
+\def\kn{\nu}
+\def\kx{\xi}
+\def\ko{o}
+\def\kp{\pi}
+\def\kr{\varrho}
+\def\ks{\sigma}
+\def\kt{\tau}
+\def\ku{\upsilon}
+\def\kf{\varphi}
+\def\kq{\chi}
+\def\ky{\psi}
+\def\kw{\omega}
+\def\da{{\frak a}}
+\def\dd{{\frak d}}
+\def\de{{\frak e}}
+\def\df{{\frak f}}
+\def\dF{{\frak F}}
+\def\dc{{\frak c}}
+\def\dg{{\frak g}}
+\def\dm{{\frak m}}
+\def\dn{{\frak n}}
+\def\ddo{{\frak o}}
+\def\ddp{{\frak p}}
+\def\dq{{\frak q}}
+\def\dr{{\frak r}}
+\def\dt{{\frak t}}
+\def\du{{\frak u}}
+\def\trenner #1{%
+   \vskip 0pt plus 0.5\baselineskip minus 0.25\baselineskip
+   \centerline{\hbox to 0.#1\hsize{\leaders\hrule height 1pt\hfill}}%
+   \vskip 2pt plus 0.5\baselineskip minus 0.25\baselineskip 
+}
+\def\gfggtrenner{\hbox to 6\gfbseinheit{\leaders\hrule height 1pt\hfill}%
+      \ \lower.5ex\hbox{$\bullet$}\
+      \hbox to 6\gfbseinheit{\leaders\hrule height 1pt\hfill}%
+}
+\def\ggtrenner{%
+   \vskip 0pt plus 0.5\baselineskip minus 0.25\baselineskip
+   \centerline{\hskip\leftskip\gfggtrenner\hskip\rightskip}%
+   \vskip 2pt plus 0.5\baselineskip minus 0.25\baselineskip 
+}
+\let\nlpc\nzpz  % NewLine Position Character
+\let\ci\zi      % Character Inside
+\let\ce\ze      % Character End
+\let\rep\wdh    % REPeat
+\def\bcc#1/#2#3:#4#5\ecc{% ConClusion
+   \bss#1/#2#3:#4#5\ess
+}
+\let\formula\formel
+\let\followswith\folgtmit
+\let\named\genannt
+\let\use\verwende
+\let\decollator\trenner
+\let\separator\ggtrenner
+\outer\def\outof p#1,#2"#3"with#4\thatis{%
+   \gfbsaus p#1,#2"#3"mit#4\also
+}
+\outer\def\substituting p#1 #2\whichgives{%
+   \gfbsdurch p#1 #2\folgende
+}
+\let\gfdefinition\erklaerung
+% Local Variables:
+% coding: iso-latin-9-unix
+% End:
diff --git a/Master/tlpkg/bin/tlpkg-ctan-check b/Master/tlpkg/bin/tlpkg-ctan-check
index 3f64be3e539..6298b5d7665 100755
--- a/Master/tlpkg/bin/tlpkg-ctan-check
+++ b/Master/tlpkg/bin/tlpkg-ctan-check
@@ -252,7 +252,7 @@ my @TLP_working = qw(
     gb4e gcard gchords gcite
     gender geschichtsfrkl genealogy genealogytree gene-logic
     genmisc genmpage gentium-tug gentle geometry geometry-de
-    german germbib germkorr getfiledate getmap getoptk
+    german germbib germkorr getfiledate getmap getoptk gfnotation
     gfsartemisia gfsbaskerville gfsbodoni gfscomplutum gfsdidot gfsneohellenic
     gfsporson gfssolomos
     ghab ghsystem gillcm gillius gincltex ginpenc gitinfo gitinfo2
diff --git a/Master/tlpkg/libexec/ctan2tds b/Master/tlpkg/libexec/ctan2tds
index 1f89ff6b473..bd4c4e9d0ca 100755
--- a/Master/tlpkg/libexec/ctan2tds
+++ b/Master/tlpkg/libexec/ctan2tds
@@ -1497,6 +1497,7 @@ $standardtex='\.(.bx|cfg|sty|clo|ldf|cls|def|fd|fontspec|cmap|4ht)$';
  'geometry-de', 'NULL',                 # all doc
  'german',      '\.sty',
  'getoptk',     '\.tex',
+ 'gfnotation',	'notation\.tex',
  'ginpenc',     '\.gie|\.sty',
  'graphics-pln','^[^e].*\.tex|.*\.sty',  # not exmpl*
  'greek-inputenc', '\.def|\.dfu$',
diff --git a/Master/tlpkg/tlpsrc/collection-plainextra.tlpsrc b/Master/tlpkg/tlpsrc/collection-plainextra.tlpsrc
index 344ba4c0164..476a3d5145b 100644
--- a/Master/tlpkg/tlpsrc/collection-plainextra.tlpsrc
+++ b/Master/tlpkg/tlpsrc/collection-plainextra.tlpsrc
@@ -10,6 +10,7 @@ depend fixpdfmag
 depend font-change
 depend fontch
 depend getoptk
+depend gfnotation
 depend graphics-pln
 depend hyplain
 depend js-misc
diff --git a/Master/tlpkg/tlpsrc/gfnotation.tlpsrc b/Master/tlpkg/tlpsrc/gfnotation.tlpsrc
new file mode 100644
index 00000000000..e69de29bb2d
--- /dev/null
+++ b/Master/tlpkg/tlpsrc/gfnotation.tlpsrc