new latex package frege (15jul12)

git-svn-id: svn://tug.org/texlive/trunk@27106 c570f23f-e606-0410-a88d-b1316a301751

8 files changed, 1896 insertions, 1 deletions

diff --git a/Master/texmf-dist/doc/latex/frege/GNU.txt b/Master/texmf-dist/doc/latex/frege/GNU.txt
new file mode 100644
index 00000000000..eeb586b392a
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/frege/GNU.txt
@@ -0,0 +1,340 @@
+		    GNU GENERAL PUBLIC LICENSE
+		       Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.
+     59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+			    Preamble
+
+  The licenses for most software are designed to take away your
+freedom to share and change it.  By contrast, the GNU General Public
+License is intended to guarantee your freedom to share and change free
+software--to make sure the software is free for all its users.  This
+General Public License applies to most of the Free Software
+Foundation's software and to any other program whose authors commit to
+using it.  (Some other Free Software Foundation software is covered by
+the GNU Library General Public License instead.)  You can apply it to
+your programs, too.
+
+  When we speak of free software, we are referring to freedom, not
+price.  Our General Public Licenses are designed to make sure that you
+have the freedom to distribute copies of free software (and charge for
+this service if you wish), that you receive source code or can get it
+if you want it, that you can change the software or use pieces of it
+in new free programs; and that you know you can do these things.
+
+  To protect your rights, we need to make restrictions that forbid
+anyone to deny you these rights or to ask you to surrender the rights.
+These restrictions translate to certain responsibilities for you if you
+distribute copies of the software, or if you modify it.
+
+  For example, if you distribute copies of such a program, whether
+gratis or for a fee, you must give the recipients all the rights that
+you have.  You must make sure that they, too, receive or can get the
+source code.  And you must show them these terms so they know their
+rights.
+
+  We protect your rights with two steps: (1) copyright the software, and
+(2) offer you this license which gives you legal permission to copy,
+distribute and/or modify the software.
+
+  Also, for each author's protection and ours, we want to make certain
+that everyone understands that there is no warranty for this free
+software.  If the software is modified by someone else and passed on, we
+want its recipients to know that what they have is not the original, so
+that any problems introduced by others will not reflect on the original
+authors' reputations.
+
+  Finally, any free program is threatened constantly by software
+patents.  We wish to avoid the danger that redistributors of a free
+program will individually obtain patent licenses, in effect making the
+program proprietary.  To prevent this, we have made it clear that any
+patent must be licensed for everyone's free use or not licensed at all.
+
+  The precise terms and conditions for copying, distribution and
+modification follow.
+
+		    GNU GENERAL PUBLIC LICENSE
+   TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
+
+  0. This License applies to any program or other work which contains
+a notice placed by the copyright holder saying it may be distributed
+under the terms of this General Public License.  The "Program", below,
+refers to any such program or work, and a "work based on the Program"
+means either the Program or any derivative work under copyright law:
+that is to say, a work containing the Program or a portion of it,
+either verbatim or with modifications and/or translated into another
+language.  (Hereinafter, translation is included without limitation in
+the term "modification".)  Each licensee is addressed as "you".
+
+Activities other than copying, distribution and modification are not
+covered by this License; they are outside its scope.  The act of
+running the Program is not restricted, and the output from the Program
+is covered only if its contents constitute a work based on the
+Program (independent of having been made by running the Program).
+Whether that is true depends on what the Program does.
+
+  1. You may copy and distribute verbatim copies of the Program's
+source code as you receive it, in any medium, provided that you
+conspicuously and appropriately publish on each copy an appropriate
+copyright notice and disclaimer of warranty; keep intact all the
+notices that refer to this License and to the absence of any warranty;
+and give any other recipients of the Program a copy of this License
+along with the Program.
+
+You may charge a fee for the physical act of transferring a copy, and
+you may at your option offer warranty protection in exchange for a fee.
+
+  2. You may modify your copy or copies of the Program or any portion
+of it, thus forming a work based on the Program, and copy and
+distribute such modifications or work under the terms of Section 1
+above, provided that you also meet all of these conditions:
+
+    a) You must cause the modified files to carry prominent notices
+    stating that you changed the files and the date of any change.
+
+    b) You must cause any work that you distribute or publish, that in
+    whole or in part contains or is derived from the Program or any
+    part thereof, to be licensed as a whole at no charge to all third
+    parties under the terms of this License.
+
+    c) If the modified program normally reads commands interactively
+    when run, you must cause it, when started running for such
+    interactive use in the most ordinary way, to print or display an
+    announcement including an appropriate copyright notice and a
+    notice that there is no warranty (or else, saying that you provide
+    a warranty) and that users may redistribute the program under
+    these conditions, and telling the user how to view a copy of this
+    License.  (Exception: if the Program itself is interactive but
+    does not normally print such an announcement, your work based on
+    the Program is not required to print an announcement.)
+
+These requirements apply to the modified work as a whole.  If
+identifiable sections of that work are not derived from the Program,
+and can be reasonably considered independent and separate works in
+themselves, then this License, and its terms, do not apply to those
+sections when you distribute them as separate works.  But when you
+distribute the same sections as part of a whole which is a work based
+on the Program, the distribution of the whole must be on the terms of
+this License, whose permissions for other licensees extend to the
+entire whole, and thus to each and every part regardless of who wrote it.
+
+Thus, it is not the intent of this section to claim rights or contest
+your rights to work written entirely by you; rather, the intent is to
+exercise the right to control the distribution of derivative or
+collective works based on the Program.
+
+In addition, mere aggregation of another work not based on the Program
+with the Program (or with a work based on the Program) on a volume of
+a storage or distribution medium does not bring the other work under
+the scope of this License.
+
+  3. You may copy and distribute the Program (or a work based on it,
+under Section 2) in object code or executable form under the terms of
+Sections 1 and 2 above provided that you also do one of the following:
+
+    a) Accompany it with the complete corresponding machine-readable
+    source code, which must be distributed under the terms of Sections
+    1 and 2 above on a medium customarily used for software interchange; or,
+
+    b) Accompany it with a written offer, valid for at least three
+    years, to give any third party, for a charge no more than your
+    cost of physically performing source distribution, a complete
+    machine-readable copy of the corresponding source code, to be
+    distributed under the terms of Sections 1 and 2 above on a medium
+    customarily used for software interchange; or,
+
+    c) Accompany it with the information you received as to the offer
+    to distribute corresponding source code.  (This alternative is
+    allowed only for noncommercial distribution and only if you
+    received the program in object code or executable form with such
+    an offer, in accord with Subsection b above.)
+
+The source code for a work means the preferred form of the work for
+making modifications to it.  For an executable work, complete source
+code means all the source code for all modules it contains, plus any
+associated interface definition files, plus the scripts used to
+control compilation and installation of the executable.  However, as a
+special exception, the source code distributed need not include
+anything that is normally distributed (in either source or binary
+form) with the major components (compiler, kernel, and so on) of the
+operating system on which the executable runs, unless that component
+itself accompanies the executable.
+
+If distribution of executable or object code is made by offering
+access to copy from a designated place, then offering equivalent
+access to copy the source code from the same place counts as
+distribution of the source code, even though third parties are not
+compelled to copy the source along with the object code.
+
+  4. You may not copy, modify, sublicense, or distribute the Program
+except as expressly provided under this License.  Any attempt
+otherwise to copy, modify, sublicense or distribute the Program is
+void, and will automatically terminate your rights under this License.
+However, parties who have received copies, or rights, from you under
+this License will not have their licenses terminated so long as such
+parties remain in full compliance.
+
+  5. You are not required to accept this License, since you have not
+signed it.  However, nothing else grants you permission to modify or
+distribute the Program or its derivative works.  These actions are
+prohibited by law if you do not accept this License.  Therefore, by
+modifying or distributing the Program (or any work based on the
+Program), you indicate your acceptance of this License to do so, and
+all its terms and conditions for copying, distributing or modifying
+the Program or works based on it.
+
+  6. Each time you redistribute the Program (or any work based on the
+Program), the recipient automatically receives a license from the
+original licensor to copy, distribute or modify the Program subject to
+these terms and conditions.  You may not impose any further
+restrictions on the recipients' exercise of the rights granted herein.
+You are not responsible for enforcing compliance by third parties to
+this License.
+
+  7. If, as a consequence of a court judgment or allegation of patent
+infringement or for any other reason (not limited to patent issues),
+conditions are imposed on you (whether by court order, agreement or
+otherwise) that contradict the conditions of this License, they do not
+excuse you from the conditions of this License.  If you cannot
+distribute so as to satisfy simultaneously your obligations under this
+License and any other pertinent obligations, then as a consequence you
+may not distribute the Program at all.  For example, if a patent
+license would not permit royalty-free redistribution of the Program by
+all those who receive copies directly or indirectly through you, then
+the only way you could satisfy both it and this License would be to
+refrain entirely from distribution of the Program.
+
+If any portion of this section is held invalid or unenforceable under
+any particular circumstance, the balance of the section is intended to
+apply and the section as a whole is intended to apply in other
+circumstances.
+
+It is not the purpose of this section to induce you to infringe any
+patents or other property right claims or to contest validity of any
+such claims; this section has the sole purpose of protecting the
+integrity of the free software distribution system, which is
+implemented by public license practices.  Many people have made
+generous contributions to the wide range of software distributed
+through that system in reliance on consistent application of that
+system; it is up to the author/donor to decide if he or she is willing
+to distribute software through any other system and a licensee cannot
+impose that choice.
+
+This section is intended to make thoroughly clear what is believed to
+be a consequence of the rest of this License.
+
+  8. If the distribution and/or use of the Program is restricted in
+certain countries either by patents or by copyrighted interfaces, the
+original copyright holder who places the Program under this License
+may add an explicit geographical distribution limitation excluding
+those countries, so that distribution is permitted only in or among
+countries not thus excluded.  In such case, this License incorporates
+the limitation as if written in the body of this License.
+
+  9. The Free Software Foundation may publish revised and/or new versions
+of the General Public License from time to time.  Such new versions will
+be similar in spirit to the present version, but may differ in detail to
+address new problems or concerns.
+
+Each version is given a distinguishing version number.  If the Program
+specifies a version number of this License which applies to it and "any
+later version", you have the option of following the terms and conditions
+either of that version or of any later version published by the Free
+Software Foundation.  If the Program does not specify a version number of
+this License, you may choose any version ever published by the Free Software
+Foundation.
+
+  10. If you wish to incorporate parts of the Program into other free
+programs whose distribution conditions are different, write to the author
+to ask for permission.  For software which is copyrighted by the Free
+Software Foundation, write to the Free Software Foundation; we sometimes
+make exceptions for this.  Our decision will be guided by the two goals
+of preserving the free status of all derivatives of our free software and
+of promoting the sharing and reuse of software generally.
+
+			    NO WARRANTY
+
+  11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY
+FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW.  EXCEPT WHEN
+OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES
+PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED
+OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+MERCHANTABILITY AND FITNESS FOR A PARTICULAR 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.
+
+  12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR
+REDISTRIBUTE 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.
+
+		     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
+convey 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) 19yy  <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 2 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, write to the Free Software
+    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
+
+
+Also add information on how to contact you by electronic and paper mail.
+
+If the program is interactive, make it output a short notice like this
+when it starts in an interactive mode:
+
+    Gnomovision version 69, Copyright (C) 19yy name of author
+    Gnomovision 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, the commands you use may
+be called something other than `show w' and `show c'; they could even be
+mouse-clicks or menu items--whatever suits your program.
+
+You should also get your employer (if you work as a programmer) or your
+school, if any, to sign a "copyright disclaimer" for the program, if
+necessary.  Here is a sample; alter the names:
+
+  Yoyodyne, Inc., hereby disclaims all copyright interest in the program
+  `Gnomovision' (which makes passes at compilers) written by James Hacker.
+
+  <signature of Ty Coon>, 1 April 1989
+  Ty Coon, President of Vice
+
+This 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 Library General
+Public License instead of this License.
diff --git a/Master/texmf-dist/doc/latex/frege/README b/Master/texmf-dist/doc/latex/frege/README
new file mode 100644
index 00000000000..cac3957a85e
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/frege/README
@@ -0,0 +1,111 @@
+frege.sty - a LaTeX2e package for typesetting begriffsschrift
+
+This package is based on begriff.sty released under the GNU General Public License. 
+Copyright (C) 2003 by Josh Parsons <josh@coombs.anu.edu.au>
+
+Changes with respect to begriff.sty
+
+correct relative lengths of the content stroke with respect to other strokes attached 
+to it;
+content strokes point at the middle of the following symbols, rather than the bottom;
+greater width for the assertion stroke as compared to the content stroke;
+a more intuitive structure for the conditional (arguments are now given in the same 
+order as they appear on the left of a completed formula);
+the command for the conditional with empty arguments now results in a vertical line 
+(conditional stroke) on it's own the other strokes are added as the arguments;
+the linewidth is properly accounted for so that things remain properly centered when 
+scaled;
+
+frege.sty defines the following basic commands:
+\Fcontent[1]       - plain content stroke
+\Fncontent[1]      - negated content stroke
+\Fnncontent[1]     - twice negated content stroke
+\Faconten[1]       - asserted content stroke
+\Fancontent[1]     - asserted negated content stroke
+\Fanncontent[1]    - asserted twice negated content stroke
+\Fquant[1]{a}      - content stroke with quantifier
+\Fnquant[1]{a}     - negated quantifier
+\Fnnquant[1]{a}    - twice negated quantifier
+\Fquantn[1]{a}     - quantifier with negated content
+\Fquantnn[1]{a}    - quantifier with twice negated content
+\Fnquantn[1]{a}    - negated quantifier with negated content
+\Fnquantnn[1]{a}   - negated quantifier with twice negated content
+\Fnnquantn[1]{a}   - twice negated quantifier with negated content
+\Fnnquantnn[1]{a}  - twice negated quantifier with twice negated content
+\Faquant[1]{a}     - asserted content stroke with quantifier
+\Fanquant[1]{a}    - asserted negated quantifier
+\Fannquant[1]{a}   - asserted twice negated quantifier
+\Faquantn[1]{a}    - asserted quantifier with negated content
+\Faquantnn[1]{a}   - asserted quantifier with twice negated content
+\Fanquantn[1]{a}   - asserted negated quantifier with negated content
+\Fanquantnn[1]{a}  - asserted negated quantifier with twice negated content
+\Fannquantn[1]{a}  - asserted twice negated quantifier with negated content
+\Fannquantnn[1]{a} - asserted twice negated quantifier with twice negated content
+
+while this may look like a daunting list think of it as just two commands:
+\Fcontent[1]       - generates a content stroke
+\Fquant[1]{a}      - generates a quantifier with variable a
+
+Adding an "a" after the "\F" adds an assertion stroke to the front of the command, 
+this may be followed by one two or no "n" to add one two or no negations to the 
+stroke. Next comes the name of the command either "content" or "quant". "quant" may 
+then be followed by another one two or no "n" which will add one two or no negations 
+after the quantifier to it's content stroke. All commands may be used in either text 
+or math mode. All the above commands produce output of the same length and may be 
+arbitrarly combined to produce longer composite formulas. Since version 1.1 each of 
+the basic strokes also has an optional argument with default value one, that scales 
+the total length of the stroke (\Fbaselength), so that an optional argument of [.5] 
+will produce a stroke half as long. Warning: setting a length shorter than what is 
+needed to fit all the options of a stroke leads to negative lengths and hence 
+unpredictable results.
+
+frege.sty defines the following more complex commands:
+\Fconditional[<option>]{<consequent>}{<antecedent>}
+\Fbox{<begriffsschrift formula with at least one conditional>}
+\Fbracket{<begriffsschrift formula with at least one conditional>}
+\Fargument[<premise 0>]{<premise 1>}{<premise 2>}{<conclusion>}
+\Fstrut[1]
+
+The final two have been added in version 1.2.
+
+The "Fconditional" command requires a mixture of the commands defined by frege.sty 
+and normal mathmode input to produce begriffsschrift. A implies B would be written 
+like this: 
+
+\Fconditional[\Facontent]{\Fcontent B}{\Fcontent A}
+
+This produces the two dimensional fregean conditional symbol with B lined up above A. 
+In addition the "Fconditional" command may be arbitrarily nested to produce any 
+begriffsschrift formula possible. Only the unnested conditional requires the optional 
+argument.
+
+"Fbracket" is just the same as "\left(\Fbox\right)" everything said about "Fbox" 
+applies equally to "Fbracket". A completed formula of begriffsschrift that includes 
+at least one conditional, should always be placed in an "Fbox" this ensures it is 
+given enough space in the output behaves correctly with respect to the text around it 
+and works correctly within environments such as align*.
+
+"Fargument" arranges two begriffsschrift formulas above each other and seperates them 
+from a third by a horizontal line. The option is for the name of a premise written 
+elsewhere and will outout (name): to the left of the horizontal line.
+
+"Fstrut" is like a invisible content stroke. Like all other basic strokes, it may be 
+scaled using it's optional argument. Fstrut is to be used in conjunction with 
+Fargument to ensure the formulas line up properly.
+
+The final result may also be modified by changing the following lengths using the 
+\setlength{<lengthname>}{<value>} command. The lengths and there default values are 
+given as follows:
+
+length:         default value:  description:
+\Fbaselength    20pt            the length of a single basic stroke
+\Flinewidth     0.5pt           the width of all lines other than the assert stroke
+\Fspace         2pt             seperation between begriffsschrift and text/formula
+\Fassertwidth   3\Flinewidth    the width of the assert stroke
+\Fraiseheight   1ex-\Flinewidth the height of content strokes above the baseline
+\Fnegsep        3\Flinewidth    the sepparation between a double negation
+\Fnegshort      2\Flinewidth    the space between negation stroke and baseline
+\Fquantwidth    6pt             width of the semi circular quantifier depression
+
+For more examples see accompanying manual (Frege.pdf or Frege.tex)
+Everything released under GNU General Public License.
diff --git a/Master/texmf-dist/doc/latex/frege/frege.pdf b/Master/texmf-dist/doc/latex/frege/frege.pdf
new file mode 100644
index 00000000000..276ae09e2c9
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/frege/frege.pdf
diff --git a/Master/texmf-dist/doc/latex/frege/frege.tex b/Master/texmf-dist/doc/latex/frege/frege.tex
new file mode 100644
index 00000000000..36b0041286f
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/frege/frege.tex
@@ -0,0 +1,336 @@
+\documentclass[12pt]{article}
+\usepackage{frege}
+\usepackage{amsmath}
+
+%% For condensed itemize:
+\newcommand{\squishlist}{
+  \begin{list}{$\bullet$}{
+    \setlength{\itemsep}{0pt}
+    \setlength{\parsep}{0pt}
+    \setlength{\topsep}{0pt}
+    \setlength{\partopsep}{0pt}
+    \setlength{\leftmargin}{1em}
+    \setlength{\labelwidth}{1em}
+    \setlength{\parskip}{0pt}
+    \setlength{\partopsep}{0pt}
+    \setlength{\rightmargin}{0pt}
+    \setlength{\labelsep}{0.5em}}}
+\newcommand{\squishlistend}{\end{list}}
+
+\title{frege.sty \\ A \LaTeXe Package for Typesetting Begriffsschrift}
+\author{Quirin Pamp \\ \texttt{Quirin.Pamp.2009@my.bristol.ac.uk}}
+
+\begin{document}
+\maketitle
+\section{Background}
+\subsection{begriff.sty}
+  This package is based on begriff.sty released under the GNU General Public 
+  License. 
+  Copyright (C) 2003 by Josh Parsons (josh@coombs.anu.edu.au) with changes made in 
+  October 2004 by Richard Heck (heck@fas.harvard.edu) and minor changes by Josh 
+  Parsons to fix a problem with linespacing made in May 2005.
+
+  While I could not have done so without the aforementioned work, I have reworked the 
+  package from the ground up, to the point where some of the underlying approaches 
+  have changed. On the downside this means there is no simple way of converting 
+  anything typeset using begriff.sty to use this package instead. I felt this was 
+  necessary to achieve a end result I was happy with.
+
+\subsection{GNU General Public License}
+  This package and all accompanying documentation is released under the GNU General 
+  Public License. It 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 2 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, write to the Free Software Foundation, Inc., 59 Temple Place - 
+  Suite 330, Boston, MA 02111, USA. (or just search for it online... Seriously.)
+
+\subsection{Changes as Compared to begriff.sty}
+  \squishlist
+    \item correct relative lengths of the content stroke with respect to other 
+      strokes attached to it;
+    \item content strokes point at the middle of the followint symbols, rather 
+      than the bottom;
+    \item greater width for the assertion stroke as compared to the content stroke;
+    \item a more intuitive structure for the conditional (arguments are now given in 
+      the same order as they appear on the left of a completed formula);
+    \item the command for the conditional with empty arguments now results in a 
+      vertical line (conditional stroke) on it's own the other strokes are added as   
+      the arguments;
+    \item the linewidth is properly accounted for so that things remain properly 
+      centered when scaled;
+  \squishlistend
+
+\subsection{Changes in Version 1.1}
+  \squishlist
+    \item added a optional scale factor to all basic strokes;
+    \item simplified the code for Fbracket in terms of that for Fbox;
+    \item rearranged the code in the style file in a more logical way;
+  \squishlistend
+
+\subsection{Changes in Version 1.2}
+  \squishlist
+    \item added a new command ``Fargument'' for typesetting arguments;
+    \item added a new command ``Fstrut'' to be used in conjunction with Fargument;
+    \item changed Fbaselength to be equal to the full length of a basi stroke (20pt);
+    \item fixed a bug where the scale factor introduced in version 1.1 does not reset 
+      after all uses;
+  \squishlistend
+
+\subsection{Changes and Features yet to come}
+  \squishlist
+    \item incorporation of other frege related material such as fge.sty so as to put 
+      all frege related material in a single package;
+    \item a vertical shorthand stroke such as used by Frege for typesetting arguments 
+      in ``Begriffsschrift'';
+  \squishlistend
+
+\section{Features and Usage}
+\subsection{Commands}
+\subsubsection{Basic Commands}
+  The following is a list of the basic commands provided by this package along with 
+  accompanying output. The conditional is treated sepperately.
+  \begin{flalign*}
+    &\mbox{\textbackslash Fcontent[1]} & &\Fcontent & & &\\
+    &\mbox{\textbackslash Fncontent[1]} & &\Fncontent\\
+    &\mbox{\textbackslash Fnncontent[1]} & &\Fnncontent\\
+    &\mbox{\textbackslash Facontent[1]} & &\Facontent\\
+    &\mbox{\textbackslash Fancontent[1]} & &\Fancontent\\
+    &\mbox{\textbackslash Fanncontent[1]} & &\Fanncontent\\
+    &\mbox{\textbackslash Fquant[1]\{a\}} & &\Fquant{a}\\
+    &\mbox{\textbackslash Fnquant[1]\{a\}} & &\Fnquant{a}\\
+    &\mbox{\textbackslash Fnnquant[1]\{a\}} & &\Fnnquant{a}\\
+    &\mbox{\textbackslash Fquantn[1]\{a\}} & &\Fquantn{a}\\
+    &\mbox{\textbackslash Fquantnn[1]\{a\}} & &\Fquantnn{a}\\
+    &\mbox{\textbackslash Fnquantn[1]\{a\}} & &\Fnquantn{a}\\
+    &\mbox{\textbackslash Fnquantnn[1]\{a\}} & &\Fnquantnn{a}\\
+    &\mbox{\textbackslash Fnnquantn[1]\{a\}} & &\Fnnquantn{a}\\
+    &\mbox{\textbackslash Fnnquantnn[1]\{a\}} & &\Fnnquantnn{a}\\
+    &\mbox{\textbackslash Faquant[1]\{a\}} & &\Faquant{a}\\
+    &\mbox{\textbackslash Fanquant[1]\{a\}} & &\Fanquant{a}\\
+    &\mbox{\textbackslash Fannquant[1]\{a\}} & &\Fannquant{a}\\
+    &\mbox{\textbackslash Faquantn[1]\{a\}} & &\Faquantn{a}\\
+    &\mbox{\textbackslash Faquantnn[1]\{a\}} & &\Faquantnn{a}\\
+    &\mbox{\textbackslash Fanquantn[1]\{a\}} & &\Fanquantn{a}\\
+    &\mbox{\textbackslash Fanquantnn[1]\{a\}} & &\Fanquantnn{a}\\
+    &\mbox{\textbackslash Fannquantn[1]\{a\}} & &\Fannquantn{a}\\
+    &\mbox{\textbackslash Fannquantnn[1]\{a\}} & &\Fannquantnn{a}\\
+  \end{flalign*}
+  This may seem like a daunting list, but there is an exceedingly simple way to think 
+  about it. In a sense there are only two commands \textbackslash Fcontent[1] and 
+  \textbackslash Fquant[1]\{\}. These two commands can be augmented with a 
+  combination of as and ns so as to add assertion and negation strokes respectively. 
+  Any stroke that is asserted (has a fat vertical line at the start) starts with 
+  `\textbackslash Fa'. This may be followed by either one or two or no `n' to add one 
+  or two or no negation strokes (the small vertical lines below the assertion 
+  stroke). Next comes the name of the main command, either `quant' or `content'. 
+  Finally the quantifiers may be followed by either one or two `n' to add one or two 
+  negation strokes to the content stroke after the quantifier's depression.
+
+  Consider also that many of these commands are only really present for completeness 
+  sake. It is difficult to imagine a situation where a twice negated quantifier with 
+  twice negated content would ever be needed.
+
+  Since version 1.1 all basic strokes also have an optional scaling factor. A command 
+  followed by [.5], for example would produce a stroke exactly half the default 
+  length while [2] produces a stroke twice the default length. (The default length 
+  is given by \textbackslash Fbaselength which is set to 20pt. Scaling allows for 
+  greater control in the total length of formula as well as for a shorter syntax. 
+  (We can replace expressions like \textbackslash Facontent \textbackslash Fcontent 
+  with \textbackslash Facontent[2].) Care must be taken not to set a length that is 
+  shorter than what is needed to fit all the parts of some basic stroke. This will 
+  lead to negative lengths and hence unpredictable output.
+
+  All quantifiers also have a mandatory argument that specifies the variable 
+  associated with the quantifier. (Mandatory arguments are contained in a set of 
+  curly brackets \{ and \}). This argument should be a single small letter and 
+  will be typeset above the semi circular depression in the assertion stroke in 
+  mathfrak font which is provided by tha amssymb package. This font can be used in 
+  maths mode by using the command `\textbackslash mathfrak\{\}'. Note that all the 
+  commands provided by this package may be used in both math and text mode. (Though 
+  math mode usually results in better formatting.)
+
+  Finally one may combine the above commands in arbitrary combinations which will 
+  result in gapless longer strokes. (Eg.: $\Faquant[0.6]{a}\Fnquantn[1.4]{b}A$) 
+  which may be roughly translated into english as ``for all $\mathfrak{a}$ there 
+  exists a $\mathfrak{b}$ such that $A$''. (The commands I used for this expression 
+  are \$\textbackslash Faquant\{a\}\textbackslash Fnquantn\{b\}A\$).
+
+\subsubsection{Conditional}
+  The conditional is the most important command in this package since it gives 
+  Frege's Begriffsschrift it's two dimensional structure.\\
+  The syntax for the Fconditional command is as follows:
+  
+  \textbackslash Fconditional[\textless option\textgreater]
+  \{\textless consequent\textgreater\}\{\textless antecedent\textgreater\}\\
+  The arguments may in principle be anything, but you will only get a begriffschrift 
+  formula if the arguments are themselves given by appropriate commands from the list 
+  of basic commands given earlier. As an example, an asserted conjunction between $A$ 
+  and $B$ would be given as follows:
+
+  \$\textbackslash Fconditional[\textbackslash Fancontent]\{\textbackslash Fncontent 
+  A\}\{\textbackslash Fcontent B\}\$ \\
+  and produce the following output: 
+  \begin{align*}
+    \Fbox{\Fconditional[\Fancontent]{\Fncontent A}{\Fcontent B}}
+  \end{align*}
+  In addition Fconditional may be nested as it's own argument to arbitrary depth. 
+  Nesting in the option is not recommended. \\
+  A conditional with nested consequent may be given as follows:
+
+  \$\textbackslash Fconditional[\textbackslash Facontent]\{\textbackslash 
+  Fcontent\textbackslash Fconditional\{\textbackslash Fcontent A\}\{\textbackslash 
+  Fcontent B\}\}\{\textbackslash Fcontent\textbackslash Fcontent C\}\$\\
+  and produces the following output:
+  \begin{align*}
+    \Fbox{\Fconditional[\Facontent]{\Fcontent\Fconditional{\Fcontent A}
+    {\Fcontent B}}{\Fcontent[2] C}}
+  \end{align*}
+  A conditional with nested antecedent may be given as follows:
+
+  \$\textbackslash Fconditional[\textbackslash Facontent]\{\textbackslash Fcontent 
+  \textbackslash Fcontent A\}\{\textbackslash Fcontent\textbackslash Fconditional 
+  \{\textbackslash Fcontent B\}\{\textbackslash Fcontent C\}\}\$\\
+  and produces the following output:
+  \begin{align*}
+    \Fbox{\Fconditional[\Facontent]{\Fcontent[2] A}{\Fcontent\Fconditional%
+    {\Fcontent B}{\Fcontent C}}}
+  \end{align*}
+  Each section of a content stroke may thus be replaced with any of the strokes given 
+  by the list of basic commands. Note that it is up to the user to place the 
+  appropriate number of strokes in each argument to ensure that the content strokes 
+  all line up on the right hand side.
+
+\subsubsection{Brackets and Boxes}
+  There are two more commands to be considered: 
+
+  \textbackslash Fbracket\{\textless complex expression\textgreater\}
+
+  \textbackslash Fbox\{\textless complex expression\textgreater\}\\
+  Both Fbox and Fbracket take what I have called a `complex expression' for their 
+  argument. A `complex expression' is any formula in begriffsschrift that has at 
+  least one conditional in it. It is generally a good idea to put all complex 
+  expressions into either a Fbox or a Fbracket. It is never necessary to place a 
+  complex expressions into both an Fbox and an Fbracket since an Fbox simply is a 
+  Fbracket without the actual brackets. Fbracket exists only for convenience with 
+  the same effect being achieved by \textbackslash left(\textbackslash Fbox\{\} 
+  \textbackslash right).
+
+  The reason why the Fbox is a good idea, is that the baseline is very near the top of
+  a complex expression of Begriffsschrift, which can make for some odd formatting 
+  effects. In addition to placing the baseline at the middel of a complex expression 
+  an Fbox ensures the expression is treated by LaTeX as a single object and given 
+  enough space.
+
+  Finally a complex expression may not format correctly in some environments (like 
+  the align* environment for example) unless it is placed in an Fbox. In short, 
+  always use an Fbox (or Fbracket).
+
+\subsection{Arguments and Struts}
+  Since version 1.2 two arguments have been added that allow for the typesetting of 
+  arguments. The syntax for the argument command is as follows:
+
+  \textbackslash Fargument[\textless absent premise\textgreater]\{\textless premise 
+  1\textgreater\}\{\textless premise 2\textgreater\}\{\textless conclusion
+  \textgreater\}\\
+  In the following esample the optional argument for the absent premise takes the 
+  value `$X$' the premises are the two formulas above the therfore line and the 
+  conclusion is the formula below the therefore line. The Begriffschrift expressions 
+  in the arguments of the Fargument command do not need to be placed in an Fbox, 
+  since the Fargument command works by boxing it's arguments allready.
+  \begin{align*}
+    \Fargument[X]
+      {\Fconditional[\Facontent]
+        {\Fcontent[2] A}
+        {\Fcontent\Fconditional{\Fcontent B}{\Fcontent C}}}
+      {\Fstrut[2]\Facontent C}
+      {\Fstrut[2]\Facontent A}
+  \end{align*}
+  where $X=\Facontent B$; (this is typeset seperately from the Fargument command);
+
+  The three begriffsschrift formulas above are in fact aligned leftbound. To make 
+  them appear rightbound no matter what the relative lengths of $A$, $B$, and $C$, 
+  the command ``Fstrut'' has been used in front of $\Facontent C$ and $\Facontent A$. 
+  The command \textbackslash Fstrut[1] works exactly like an invisible content 
+  stroke, that is it inserts space of length Fbaselength. Like all basic strokes it 
+  can be scaled via an optional scale factor.
+
+\subsection{Lengths}
+  In theory all the dimensions in this package can be changed with the command 
+  \textbackslash setlength\{\textless name of length\textgreater\}\{\textless new 
+  value\textgreater\}, though I have not done a great deal of testing and recommend 
+  sticking to the default values. The following then is a table of all lengths: \\
+  \begin{tabular}{|l|l|l|}
+    \hline
+    name & default value & description \\
+    \hline
+    \textbackslash Fbaselength & 20pt & the length of the basic strokes \\
+    \textbackslash Flinewidth & 0.5pt & the line width \\
+    \textbackslash Fspace & 2pt & seperation between lines and text/formula \\
+    \textbackslash Fassertwidth & 3\textbackslash Flinewidth & width of assert 
+    stroke \\
+    \textbackslash Fraiseheight & 1ex-\textbackslash Flinewidth & height of content 
+    lines above baseline \\
+    \textbackslash Fnegsep & 3\textbackslash Flinewidth & seperation between a 
+    double negation \\
+    \textbackslash Fnegshort & 2\textbackslash Flinewidth & space between negation 
+    stroke and baseline \\
+    \textbackslash Fquantwidth & 6pt & width of the semi-circular quantifier 
+    depression \\
+    \hline
+  \end{tabular}
+  the height of the conditional stroke is determined by the size of the contents of 
+  the conditionals argument, as well as the baselineskip of the surrounding text. It 
+  cannot be changed manually.
+
+\subsection{Final Example}
+  The Geach-Kaplan sentance (with thanks to Marcus Rossberg):
+  \begin{align*}
+    \Fbox%
+    {%
+      \Fconditional[{\Facontent[.2]\Fnquant{F}\Fcontent[.2]}]%
+      {%
+        \Fcontent%
+        \Fconditional%
+        {%
+          \Fcontent[3]%
+          \Fbox%
+          {%
+            f\Fbracket%
+            {%
+              \Fconditional[\Faquant{a}]%
+                {\Fcontent C\mathfrak{(a)}}%
+                {\Fcontent \mathfrak{F(a)}}%
+            }%
+          }%
+        }%
+        {\Fcontent\Fnquantn{b}\Fcontent\mathfrak{F(b)}}%
+      }%
+      {%
+        \Fcontent[0.4]%
+        \Fquant[0.6]{c}%
+        \Fquant[0.6]{d}%
+        \Fcontent[0.4]%
+        \Fconditional%
+        {%
+          \Fncontent%
+          \Fconditional{\Fcontent\mathfrak{c=d}}{\Fcontent\mathfrak{F(d)}}%
+        }%
+        {%
+          \Fncontent%
+          \Fconditional{\Fncontent\mathfrak{F(c)}}{\Fcontent A\mathfrak{(c,d)}}%
+        }%
+      }%
+    }%
+  \end{align*}
+  And that is all. \\ 
+  For comments, suggestions, identified errors, email me at \\
+  \textless Q.Pamp.2009 at my.bristol.ac.uk\textgreater.
+  % don't like storing my full email in a text file on the interneti,
+  % so I replaced the @ with " at ";
+\end{document}
diff --git a/Master/texmf-dist/tex/latex/frege/frege.sty b/Master/texmf-dist/tex/latex/frege/frege.sty
new file mode 100644
index 00000000000..2b3b6854d53
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/frege/frege.sty
@@ -0,0 +1,1107 @@
+% frege.sty - a LaTeX2e package for typesetting begriffsschrift
+% by Quirin Pamp <Quirin.Pamp.2009 at my.bristol.ac.uk>
+%
+% based on begriffHeck.sty released under GNU General Public License
+% Copyright (C) 2003 by Josh Parsons <josh@coombs.anu.edu.au>
+% with changes made in October 2004 by Richard Heck <heck@fas.harvard.edu>
+% and minor changes by Josh Parsons to fix problem with linespacing (May 2005)
+%
+% 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 2 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, write to the Free Software
+% Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111,
+% USA. (or just search for it online... Seriously.)
+
+%%% changes as compared to begriff.sty:
+% correct relative lengths of various content strokes;
+% content strokes at middle of line rather than bottom;
+% greater width for assertion stroke as compared to content stroke;
+% more intuitive structure of commands (arguments are now given in the same 
+% order as they appear on the left of a completed formula);
+% the command conditional with empty arguments now only gives the conditional 
+% stroke the other strokes are added as the arguments;
+% accounting for linewidth so that things remain properly centered even for 
+% a greater linewidth;
+
+%%% changes in version 1.1:
+% added option to locally set \Fbaselength to all basic strokes;
+% simplified code for \Fbracket in terms of \Fbox;
+% rearranged code in a more logical order;
+
+%%% changes in version 1.2:
+% added new command \Fargument for typesetting arguments;
+% added new command \Fstrut to be used in conjunction with \Fargument;
+% changed \Fbaselength to be the full rather than half the unit length;
+% fixed a bug where the scalefactor introduced in 1.1 does not always reset;
+
+%%% planned changes for future versions:
+% incorporation of other frege related material such as fge.sty so as to put
+% all frege related material in a single package;
+% a vertical shorthand stroke as I have seen in Begriffsschrift?!;
+
+%%% identification:
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{frege}[2012/07/16 v1.2]
+\typeout{Fregean Begriffsschrift: 2012/07/16 v1.2}
+
+%%% options:
+% This package currently has no options.
+
+%%% package dependencies:
+\RequirePackage{amssymb}
+
+%%% variable decleration:
+\newlength{\temp}%
+\newlength{\tempp}%
+\newlength{\Fbaselength}%
+\setlength{\Fbaselength}{20pt}%
+\newlength{\Funitlength}%
+\newlength{\Flinewidth}%
+\setlength{\Flinewidth}{0.5pt}%
+\newlength{\Fspace}%
+\setlength{\Fspace}{2pt}%
+\newlength{\Fassertwidth}%
+\setlength{\Fassertwidth}{3\Flinewidth}%
+\newlength{\Fraiseheight}%
+\setlength{\Fraiseheight}{1ex}%
+\addtolength{\Fraiseheight}{-\Flinewidth}%
+\newlength{\Fnegsep}%
+\setlength{\Fnegsep}{3\Flinewidth}%
+\newlength{\Fnegshort}%
+\setlength{\Fnegshort}{2\Flinewidth}%
+\newlength{\Fquantwidth}%
+\setlength{\Fquantwidth}{6pt}%
+\newlength{\Fantecedentheight}%
+\newlength{\Fconsequentdepth}%
+\newsavebox{\Fantecedent}%
+\newsavebox{\Fconsequent}%
+\newlength{\Fantecedentwidth}%
+\newlength{\Fconsequentwidth}%
+\newlength{\Fblockwidth}%
+\newlength{\Fpremiselength}%
+\newlength{\Fthereforelength}%
+
+%%% main body/new commands:
+% boxing complex expressions with a centered baseline: 
+\newcommand{\Fbox}[1]{%
+  \settowidth{\temp}{\ensuremath{#1}}%
+  \settoheight{\tempp}{\ensuremath{#1}}%
+  \addtolength{\tempp}{3pt}% visual approximation may not scale right
+  \parbox{\temp}{\rule{0pt}{\tempp}\ensuremath{#1}}%
+}%
+
+% bracketed Fbox:
+\newcommand{\Fbracket}[1]{\ensuremath{\left(\Fbox{#1}\right)}}%
+
+% conditional stroke \Fconditional[content]{consequent}{antecedent}:
+\newcommand{\Fconditional}[3][]%
+{%
+  \unskip%
+  \sbox{\Fconsequent}{%
+    \rule[-0.3\baselineskip]{0pt}{0.3\baselineskip}% this is a strut
+    \ensuremath{#2}}%
+  \settodepth{\Fconsequentdepth}{%
+    \rule[-0.3\baselineskip]{0pt}{0.3\baselineskip}% this is a strut
+    \ensuremath{#2}}%
+  \sbox{\Fantecedent}{%
+    \rule{0pt}{\baselineskip}% this is a strut
+    \rule[-0.3\baselineskip]{0pt}{0.3\baselineskip}% this is a strut
+    \ensuremath{#3}}%
+  \settoheight{\Fantecedentheight}{%
+    \rule{0pt}{\baselineskip}%
+    \rule[-0.3\baselineskip]{0pt}{0.3\baselineskip}% this is a strut
+    \ensuremath{#3}}%  
+  \setlength{\temp}{\lineskip}%
+  \addtolength{\temp}{\Fantecedentheight}%
+  \addtolength{\temp}{\Fconsequentdepth}%
+  \setlength{\tempp}{\temp}%
+  \addtolength{\tempp}{-\Fraiseheight}%
+  \mbox{%
+    \ensuremath{#1\unskip}%
+    \kern-\Flinewidth%
+    \rule[-\tempp]{\Flinewidth}{\temp}%
+    \settowidth{\Fconsequentwidth}{\usebox{\Fconsequent}}% find width
+    \settowidth{\Fantecedentwidth}{\usebox{\Fantecedent}}% find width
+    \settoheight{\temp}{\mbox{% compare and find longer of two widths
+      \rule{0pt}{\Fconsequentwidth}%
+      \rule{0pt}{\Fantecedentwidth}}}%
+    \parbox[t]{\temp}{\usebox{\Fconsequent}\\\usebox{\Fantecedent}}}%
+}%
+
+% argument presentation \Fargument[premise 0]{premise 1}{premise 2}{conclusion}
+\newcommand{\Fargument}[4][]%
+{%
+  \settowidth{\Fantecedentwidth}{\ensuremath{#2}}%
+  \settowidth{\Fconsequentwidth}{\ensuremath{#3}}%
+  \settoheight{\Fblockwidth}{\mbox{%
+    \rule{0pt}{\Fantecedentwidth}%
+    \rule{0pt}{\Fconsequentwidth}}}%
+  \setlength{\Fthereforelength}{\Fblockwidth}%
+  \addtolength{\Fthereforelength}{1em}%
+  \settowidth{\Fpremiselength}{\ensuremath{\left(#1\right):}}%
+  \mbox{%
+    \raisebox{.69\baselineskip}{\ensuremath{\left(#1\right)\kern-4pt:}}%
+    \hskip .5em%
+    \parbox[b]{\Fblockwidth}{%
+      \ensuremath{#2}\\%
+      \rule{0pt}{1\baselineskip}\ensuremath{#3}\\%
+      \makebox[\Fblockwidth]{%
+        \rule{0pt}{1.3\baselineskip}%
+        \setlength{\temp}{\Fraiseheight}%
+        \addtolength{\temp}{0.65\baselineskip}%
+        \addtolength{\temp}{0.5\lineskip}%
+        \rule[\temp]{\Fthereforelength}{\Flinewidth}}}%
+    \kern-\Fblockwidth%
+    \ensuremath{#4}}%
+}%
+
+% strut (for use with argument):
+\newcommand{\Fstrut}[1][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \rule[\Fraiseheight]{\Fbaselength}{0pt}%
+  \setlength{\Fbaselength}{\Funitlength}%
+}%
+
+% content stroke:
+\newcommand{\Fcontent}[1][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \rule[\Fraiseheight]{\Fbaselength}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}%
+
+% negated content stroke:
+\newcommand{\Fncontent}[1][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}%
+
+% twice negated content stroke:
+\newcommand{\Fnncontent}[1][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fnegsep}%
+  \addtolength{\temp}{-\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \rule[\Fraiseheight]{\Fnegsep}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fnegsep}%
+  \addtolength{\temp}{-\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}%
+
+% asserted content stroke:
+\newcommand{\Facontent}[1][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \setlength{\temp}{2\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \rule{\Fassertwidth}{\temp}%
+  \setlength{\temp}{\Fbaselength}%
+  \addtolength{\temp}{-\Fassertwidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}%
+
+% negated asserted content stroke:
+\newcommand{\Fancontent}[1][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \setlength{\temp}{2\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \rule{\Fassertwidth}{\temp}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-\Fassertwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}%
+
+% twice negated asserted content stroke:
+\newcommand{\Fanncontent}[1][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \setlength{\temp}{2\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \rule{\Fassertwidth}{\temp}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-\Fassertwidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \addtolength{\temp}{-\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \rule[\Fraiseheight]{\Fnegsep}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fnegsep}%
+  \addtolength{\temp}{-\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}%
+
+% universal quantifier:
+\newcommand{\Fquant}[2][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\unitlength}{\Fquantwidth}%
+  \raisebox{\Fraiseheight}{%
+  \begin{picture}(1,0)(0,0)%
+    \linethickness{\Flinewidth}%
+    \qbezier(0,0)(0.5,-0.6666)(1,0)%
+  \end{picture}}%
+  \kern-\Fquantwidth%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \raisebox{\temp}{\makebox[\Fquantwidth]{\ensuremath{\scriptstyle\mathfrak{#2}}}}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}%
+
+% negated universal quantifier
+\newcommand{\Fnquant}[2][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \setlength{\temp}{0.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\unitlength}{\Fquantwidth}%
+  \raisebox{\Fraiseheight}{%
+  \begin{picture}(1,0)(0,0)%
+    \linethickness{\Flinewidth}%
+    \qbezier(0,0)(0.5,-0.6666)(1,0)%
+  \end{picture}}%
+  \kern-\Fquantwidth%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \raisebox{\temp}{\makebox[\Fquantwidth]{\ensuremath{\scriptstyle\mathfrak{#2}}}}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}%
+
+% twice negated universal quantifier
+\newcommand{\Fnnquant}[2][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \addtolength{\temp}{-2\Flinewidth}%
+  \addtolength{\temp}{-\Fnegsep}%
+  \rule[\Fraiseheight]{0.5\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \rule[\Fraiseheight]{\Fnegsep}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \addtolength{\temp}{-2\Flinewidth}%
+  \addtolength{\temp}{-\Fnegsep}%
+  \rule[\Fraiseheight]{0.5\temp}{\Flinewidth}%
+  \setlength{\unitlength}{\Fquantwidth}%
+  \raisebox{\Fraiseheight}{%
+  \begin{picture}(1,0)(0,0)%
+    \linethickness{\Flinewidth}%
+    \qbezier(0,0)(0.5,-0.6666)(1,0)%
+  \end{picture}}%
+  \kern-\Fquantwidth%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \raisebox{\temp}{\makebox[\Fquantwidth]{\ensuremath{\scriptstyle\mathfrak{#2}}}}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}%
+
+% universal quantifier with negated content:
+\newcommand{\Fquantn}[2][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\unitlength}{\Fquantwidth}%
+  \raisebox{\Fraiseheight}{%
+  \begin{picture}(1,0)(0,0)%
+    \linethickness{\Flinewidth}%
+    \qbezier(0,0)(0.5,-0.6666)(1,0)%
+  \end{picture}}%
+  \kern-\Fquantwidth%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \raisebox{\temp}{\makebox[\Fquantwidth]{\ensuremath{\scriptstyle\mathfrak{#2}}}}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}
+
+% universal quantifier with twice negated content:
+\newcommand{\Fquantnn}[2][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\unitlength}{\Fquantwidth}%
+  \raisebox{\Fraiseheight}{%
+  \begin{picture}(1,0)(0,0)%
+    \linethickness{\Flinewidth}%
+    \qbezier(0,0)(0.5,-0.6666)(1,0)%
+  \end{picture}}%
+  \kern-\Fquantwidth%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \raisebox{\temp}{\makebox[\Fquantwidth]{\ensuremath{\scriptstyle\mathfrak{#2}}}}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \addtolength{\temp}{-2\Flinewidth}%
+  \addtolength{\temp}{-\Fnegsep}%
+  \rule[\Fraiseheight]{0.5\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \rule[\Fraiseheight]{\Fnegsep}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \addtolength{\temp}{-2\Flinewidth}%
+  \addtolength{\temp}{-\Fnegsep}%
+  \rule[\Fraiseheight]{0.5\temp}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}%
+
+% negated universal quantifier with negated content
+\newcommand{\Fnquantn}[2][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\unitlength}{\Fquantwidth}%
+  \raisebox{\Fraiseheight}{%
+  \begin{picture}(1,0)(0,0)%
+    \linethickness{\Flinewidth}%
+    \qbezier(0,0)(0.5,-0.6666)(1,0)%
+  \end{picture}}%
+  \kern-\Fquantwidth%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \raisebox{\temp}{\makebox[\Fquantwidth]{\ensuremath{\scriptstyle\mathfrak{#2}}}}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}%
+
+% negated universal quantifier with twice negated content
+\newcommand{\Fnquantnn}[2][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\unitlength}{\Fquantwidth}%
+  \raisebox{\Fraiseheight}{%
+  \begin{picture}(1,0)(0,0)%
+    \linethickness{\Flinewidth}%
+    \qbezier(0,0)(0.5,-0.6666)(1,0)%
+  \end{picture}}%
+  \kern-\Fquantwidth%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \raisebox{\temp}{\makebox[\Fquantwidth]{\ensuremath{\scriptstyle\mathfrak{#2}}}}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \addtolength{\temp}{-2\Flinewidth}%
+  \addtolength{\temp}{-\Fnegsep}%
+  \rule[\Fraiseheight]{0.5\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \rule[\Fraiseheight]{\Fnegsep}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \addtolength{\temp}{-2\Flinewidth}%
+  \addtolength{\temp}{-\Fnegsep}%
+  \rule[\Fraiseheight]{0.5\temp}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}%
+
+% twice negated universal quantifier with negated content
+\newcommand{\Fnnquantn}[2][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \addtolength{\temp}{-2\Flinewidth}%
+  \addtolength{\temp}{-\Fnegsep}%
+  \rule[\Fraiseheight]{0.5\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \rule[\Fraiseheight]{\Fnegsep}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \addtolength{\temp}{-2\Flinewidth}%
+  \addtolength{\temp}{-\Fnegsep}%
+  \rule[\Fraiseheight]{0.5\temp}{\Flinewidth}%
+  \setlength{\unitlength}{\Fquantwidth}%
+  \raisebox{\Fraiseheight}{%
+  \begin{picture}(1,0)(0,0)%
+    \linethickness{\Flinewidth}%
+    \qbezier(0,0)(0.5,-0.6666)(1,0)%
+  \end{picture}}%
+  \kern-\Fquantwidth%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \raisebox{\temp}{\makebox[\Fquantwidth]{\ensuremath{\scriptstyle\mathfrak{#2}}}}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}%
+
+% twice negated universal quantifier with twice negated content
+\newcommand{\Fnnquantnn}[2][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \addtolength{\temp}{-2\Flinewidth}%
+  \addtolength{\temp}{-\Fnegsep}%
+  \rule[\Fraiseheight]{0.5\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \rule[\Fraiseheight]{\Fnegsep}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \addtolength{\temp}{-2\Flinewidth}%
+  \addtolength{\temp}{-\Fnegsep}%
+  \rule[\Fraiseheight]{0.5\temp}{\Flinewidth}%
+  \setlength{\unitlength}{\Fquantwidth}%
+  \raisebox{\Fraiseheight}{%
+  \begin{picture}(1,0)(0,0)%
+    \linethickness{\Flinewidth}%
+    \qbezier(0,0)(0.5,-0.6666)(1,0)%
+  \end{picture}}%
+  \kern-\Fquantwidth%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \raisebox{\temp}{\makebox[\Fquantwidth]{\ensuremath{\scriptstyle\mathfrak{#2}}}}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \addtolength{\temp}{-2\Flinewidth}%
+  \addtolength{\temp}{-\Fnegsep}%
+  \rule[\Fraiseheight]{0.5\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \rule[\Fraiseheight]{\Fnegsep}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \addtolength{\temp}{-2\Flinewidth}%
+  \addtolength{\temp}{-\Fnegsep}%
+  \rule[\Fraiseheight]{0.5\temp}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}%
+
+% asserted universal quantifier:
+\newcommand{\Faquant}[2][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \setlength{\temp}{2\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \rule{\Fassertwidth}{\temp}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \addtolength{\temp}{-\Fassertwidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\unitlength}{\Fquantwidth}%
+  \raisebox{\Fraiseheight}{%
+  \begin{picture}(1,0)(0,0)%
+    \linethickness{\Flinewidth}%
+    \qbezier(0,0)(0.5,-0.6666)(1,0)%
+  \end{picture}}%
+  \kern-\Fquantwidth%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \raisebox{\temp}{\makebox[\Fquantwidth]{\ensuremath{\scriptstyle\mathfrak{#2}}}}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}%
+
+% negated asserted universal quantifier
+\newcommand{\Fanquant}[2][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \setlength{\temp}{2\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \rule{\Fassertwidth}{\temp}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \addtolength{\temp}{-\Fassertwidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\unitlength}{\Fquantwidth}%
+  \raisebox{\Fraiseheight}{%
+  \begin{picture}(1,0)(0,0)%
+    \linethickness{\Flinewidth}%
+    \qbezier(0,0)(0.5,-0.6666)(1,0)%
+  \end{picture}}%
+  \kern-\Fquantwidth%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \raisebox{\temp}{\makebox[\Fquantwidth]{\ensuremath{\scriptstyle\mathfrak{#2}}}}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}%
+
+% twice negated asserted universal quantifier
+\newcommand{\Fannquant}[2][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \setlength{\temp}{2\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \rule{\Fassertwidth}{\temp}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-\Flinewidth}%
+  \addtolength{\temp}{-0.5\Fnegsep}%
+  \addtolength{\temp}{-\Fassertwidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \rule[\Fraiseheight]{\Fnegsep}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-\Flinewidth}%
+  \addtolength{\temp}{-0.5\Fnegsep}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\unitlength}{\Fquantwidth}%
+  \raisebox{\Fraiseheight}{%
+  \begin{picture}(1,0)(0,0)%
+    \linethickness{\Flinewidth}%
+    \qbezier(0,0)(0.5,-0.6666)(1,0)%
+  \end{picture}}%
+  \kern-\Fquantwidth%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \raisebox{\temp}{\makebox[\Fquantwidth]{\ensuremath{\scriptstyle\mathfrak{#2}}}}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}%
+
+% asserted universal quantifier with negated content:
+\newcommand{\Faquantn}[2][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \setlength{\temp}{2\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \rule{\Fassertwidth}{\temp}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \addtolength{\temp}{-\Fassertwidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\unitlength}{\Fquantwidth}%
+  \raisebox{\Fraiseheight}{%
+  \begin{picture}(1,0)(0,0)%
+    \linethickness{\Flinewidth}%
+    \qbezier(0,0)(0.5,-0.6666)(1,0)%
+  \end{picture}}%
+  \kern-\Fquantwidth%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \raisebox{\temp}{\makebox[\Fquantwidth]{\ensuremath{\scriptstyle\mathfrak{#2}}}}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}
+
+% asserted universal quantifier with twice negated content:
+\newcommand{\Faquantnn}[2][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \setlength{\temp}{2\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \rule{\Fassertwidth}{\temp}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \addtolength{\temp}{-\Fassertwidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\unitlength}{\Fquantwidth}%
+  \raisebox{\Fraiseheight}{%
+  \begin{picture}(1,0)(0,0)%
+    \linethickness{\Flinewidth}%
+    \qbezier(0,0)(0.5,-0.6666)(1,0)%
+  \end{picture}}%
+  \kern-\Fquantwidth%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \raisebox{\temp}{\makebox[\Fquantwidth]{\ensuremath{\scriptstyle\mathfrak{#2}}}}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \addtolength{\temp}{-2\Flinewidth}%
+  \addtolength{\temp}{-\Fnegsep}%
+  \rule[\Fraiseheight]{0.5\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \rule[\Fraiseheight]{\Fnegsep}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \addtolength{\temp}{-2\Flinewidth}%
+  \addtolength{\temp}{-\Fnegsep}%
+  \rule[\Fraiseheight]{0.5\temp}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}%
+
+% negated asserted universal quantifier with negated content:
+\newcommand{\Fanquantn}[2][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \setlength{\temp}{2\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \rule{\Fassertwidth}{\temp}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \addtolength{\temp}{-\Fassertwidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\unitlength}{\Fquantwidth}%
+  \raisebox{\Fraiseheight}{%
+  \begin{picture}(1,0)(0,0)%
+    \linethickness{\Flinewidth}%
+    \qbezier(0,0)(0.5,-0.6666)(1,0)%
+  \end{picture}}%
+  \kern-\Fquantwidth%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \raisebox{\temp}{\makebox[\Fquantwidth]{\ensuremath{\scriptstyle\mathfrak{#2}}}}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}%
+
+% negated asserted universal quantifier with twice negated content:
+\newcommand{\Fanquantnn}[2][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \setlength{\temp}{2\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \rule{\Fassertwidth}{\temp}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \addtolength{\temp}{-\Fassertwidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\unitlength}{\Fquantwidth}%
+  \raisebox{\Fraiseheight}{%
+  \begin{picture}(1,0)(0,0)%
+    \linethickness{\Flinewidth}%
+    \qbezier(0,0)(0.5,-0.6666)(1,0)%
+  \end{picture}}%
+  \kern-\Fquantwidth%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \raisebox{\temp}{\makebox[\Fquantwidth]{\ensuremath{\scriptstyle\mathfrak{#2}}}}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \addtolength{\temp}{-2\Flinewidth}%
+  \addtolength{\temp}{-\Fnegsep}%
+  \rule[\Fraiseheight]{0.5\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \rule[\Fraiseheight]{\Fnegsep}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \addtolength{\temp}{-2\Flinewidth}%
+  \addtolength{\temp}{-\Fnegsep}%
+  \rule[\Fraiseheight]{0.5\temp}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}%
+
+% twice negated asserted universal quantifier with negated content:
+\newcommand{\Fannquantn}[2][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \setlength{\temp}{2\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \rule{\Fassertwidth}{\temp}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-\Flinewidth}%
+  \addtolength{\temp}{-0.5\Fnegsep}%
+  \addtolength{\temp}{-\Fassertwidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \rule[\Fraiseheight]{\Fnegsep}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-\Flinewidth}%
+  \addtolength{\temp}{-0.5\Fnegsep}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\unitlength}{\Fquantwidth}%
+  \raisebox{\Fraiseheight}{%
+  \begin{picture}(1,0)(0,0)%
+    \linethickness{\Flinewidth}%
+    \qbezier(0,0)(0.5,-0.6666)(1,0)%
+  \end{picture}}%
+  \kern-\Fquantwidth%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \raisebox{\temp}{\makebox[\Fquantwidth]{\ensuremath{\scriptstyle\mathfrak{#2}}}}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-0.5\Flinewidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}%
+
+% twice negated asserted universal quantifier with twice negated content:
+\newcommand{\Fannquantnn}[2][1]%
+{%
+  \setlength{\Funitlength}{\Fbaselength}%
+  \setlength{\Fbaselength}{#1\Fbaselength}%
+  \unskip%
+  \setlength{\temp}{2\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \rule{\Fassertwidth}{\temp}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-\Flinewidth}%
+  \addtolength{\temp}{-0.5\Fnegsep}%
+  \addtolength{\temp}{-\Fassertwidth}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \rule[\Fraiseheight]{\Fnegsep}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.25\Fbaselength}%
+  \addtolength{\temp}{-0.25\Fquantwidth}%
+  \addtolength{\temp}{-\Flinewidth}%
+  \addtolength{\temp}{-0.5\Fnegsep}%
+  \rule[\Fraiseheight]{\temp}{\Flinewidth}%
+  \setlength{\unitlength}{\Fquantwidth}%
+  \raisebox{\Fraiseheight}{%
+  \begin{picture}(1,0)(0,0)%
+    \linethickness{\Flinewidth}%
+    \qbezier(0,0)(0.5,-0.6666)(1,0)%
+  \end{picture}}%
+  \kern-\Fquantwidth%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \raisebox{\temp}{\makebox[\Fquantwidth]{\ensuremath{\scriptstyle\mathfrak{#2}}}}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \addtolength{\temp}{-2\Flinewidth}%
+  \addtolength{\temp}{-\Fnegsep}%
+  \rule[\Fraiseheight]{0.5\temp}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \rule[\Fraiseheight]{\Fnegsep}{\Flinewidth}%
+  \setlength{\temp}{\Fraiseheight}%
+  \addtolength{\temp}{\Flinewidth}%
+  \addtolength{\temp}{-\Fnegshort}%
+  \rule[\Fnegshort]{\Flinewidth}{\temp}%
+  \setlength{\temp}{.5\Fbaselength}%
+  \addtolength{\temp}{-0.5\Fquantwidth}%
+  \addtolength{\temp}{-2\Flinewidth}%
+  \addtolength{\temp}{-\Fnegsep}%
+  \rule[\Fraiseheight]{0.5\temp}{\Flinewidth}%
+  \setlength{\Fbaselength}{\Funitlength}%
+  \hskip\Fspace%
+}%
diff --git a/Master/tlpkg/bin/tlpkg-ctan-check b/Master/tlpkg/bin/tlpkg-ctan-check
index 49a6439dbe2..4c9e8828e85 100755
--- a/Master/tlpkg/bin/tlpkg-ctan-check
+++ b/Master/tlpkg/bin/tlpkg-ctan-check
@@ -181,7 +181,7 @@ my @TLP_working = qw(
     fouridx fourier fouriernc
     fp fpl
     fragmaster fragments frame framed frankenstein frcursive
-    frenchle friulan frletter frontespizio ftcap ftnxtra
+    frege frenchle friulan frletter frontespizio ftcap ftnxtra
     fullblck fullwidth functan fundus-calligra fundus-cyr fundus-sueterlin fwlw
   g-brief gaceta galois gamebook garrigues gastex gatech-thesis gates gauss
     gb4e gcard gchords gcite geschichtsfrkl genealogy gene-logic
diff --git a/Master/tlpkg/tlpsrc/collection-latexextra.tlpsrc b/Master/tlpkg/tlpsrc/collection-latexextra.tlpsrc
index e04a5305663..f3536864966 100644
--- a/Master/tlpkg/tlpsrc/collection-latexextra.tlpsrc
+++ b/Master/tlpkg/tlpsrc/collection-latexextra.tlpsrc
@@ -293,6 +293,7 @@ depend fragments
 depend frame
 depend framed
 depend frankenstein
+depend frege
 depend friulan
 depend ftcap
 depend ftnxtra
diff --git a/Master/tlpkg/tlpsrc/frege.tlpsrc b/Master/tlpkg/tlpsrc/frege.tlpsrc
new file mode 100644
index 00000000000..e69de29bb2d
--- /dev/null
+++ b/Master/tlpkg/tlpsrc/frege.tlpsrc