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%%
%% This is file `galois.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% galois.dtx (with options: `package')
%%
%% This generated file may be distributed under the terms of the LaTeX
%% Project Public License, as described in lppl.txt in the base LaTeX
%% distribution. Either version 1.0 or, at your option, any later
%% version.
%%
\def\fileversion{1.04}
\def\filedate{1999/05/01}
%% \CharacterTable
%% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
%% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
%% Digits \0\1\2\3\4\5\6\7\8\9
%% Exclamation \! Double quote \" Hash (number) \#
%% Dollar \$ Percent \% Ampersand \&
%% Acute accent \' Left paren \( Right paren \)
%% Asterisk \* Plus \+ Comma \,
%% Minus \- Point \. Solidus \/
%% Colon \: Semicolon \; Less than \<
%% Equals \= Greater than \> Question mark \?
%% Commercial at \@ Left bracket \[ Backslash \\
%% Right bracket \] Circumflex \^ Underscore \_
%% Grave accent \` Left brace \{ Vertical bar \|
%% Right brace \} Tilde \~}
%%
%%
%% Source File: galois.dtx
%% Copyright 1994 1998 1999 Patrick.Cousot@ens.fr
%%
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{galois}
[\filedate\space v\fileversion, Galois connections, Patrick.Cousot@ens.fr]
\@ifundefined{comp}{%
\newcommand{\comp}{\mathchoice{\mathrel{\raisebox{0.2ex}{$\scriptstyle\circ$}}}%
{\mathrel{\raisebox{0.2ex}{$\scriptstyle\circ$}}}%
{\mathrel{\raisebox{0.1ex}{$\scriptscriptstyle\circ$}}}%
{\mathrel{\raisebox{0.1ex}{$\scriptscriptstyle\circ$}}}}%
}{}%
\newcommand{\GaloisStyle}{\scriptstyle}%
\newcommand{\GaloisArrowThickness}{0.1ex}%
\newcommand{\GaloisArrowsSep}{0.2ex}%
\newcommand{\GaloisArrowTagSep}{0.5ex}%
\newlength{\@GALOISalphadepth}%
\newlength{\@GALOISalphaheight}%
\newlength{\@GALOISgammadepth}%
\newlength{\@GALOISwidth}%
\newlength{\@GALOISheight}%
\newlength{\@GALOISdepth}%
\newlength{\@GALOIStotalheight}%
\newlength{\@GALOISGap}%
\newlength{\@GALOISalphaarrowwidth}%
\newlength{\@GALOISalphaarrowhalfheight}%
\newlength{\@GALOISgammaarrowwidth}%
\newlength{\@GALOISgammaarrowhalfheight}%
\def\Galois@put(#1,#2-#3)#4{\rlap{\smash{\hskip#1\setlength{\@tempdimc}{#2}%
\addtolength{\@tempdimc}{-#3}\raisebox{\@tempdimc}{#4}}}}%
\def\@GALOISrightarrowfill#1{$\m@th \smash- \mkern-7mu%
\cleaders\hbox{$\mkern-2mu \smash- \mkern-2mu$}\hfill%
\mkern-7mu \mathord{#1}$}%
\def\@GALOISleftarrowfill#1{$\m@th \mathord{#1} \mkern-7mu%
\cleaders\hbox{$\mkern-2mu \smash- \mkern-2mu$}\hfill%
\mkern-7mu \smash-$}%
\def\@GALOIS#1#2#3#4{%
\ensuremath{\mathrel{%
\def\@GALOISalphatag{\ $\GaloisStyle#1$\ }%
\def\@GALOISgammatag{\ $\GaloisStyle#2$\ }%
\settowidth{\@GALOISalphaarrowwidth}{$\mathord{#3}$}%
\settowidth{\@GALOISgammaarrowwidth}{$\mathord{#4}$}%
\ifdim\@GALOISalphaarrowwidth>\@GALOISgammaarrowwidth%
\settowidth{\@tempdima}{\hbox{\hspace*{\@GALOISalphaarrowwidth}\@GALOISalphatag}}%
\settowidth{\@tempdimb}{\hbox{\hspace*{\@GALOISalphaarrowwidth}\@GALOISgammatag}}%
\else%
\settowidth{\@tempdima}{\hbox{\hspace*{\@GALOISgammaarrowwidth}\@GALOISalphatag}}%
\settowidth{\@tempdimb}{\hbox{\hspace*{\@GALOISgammaarrowwidth}\@GALOISgammatag}}%
\fi%
\ifdim\@tempdima>\@tempdimb%
\setlength{\@GALOISwidth}{\@tempdima}%
\else%
\setlength{\@GALOISwidth}{\@tempdimb}%
\fi%
\def\@GALOISrightarrow{\hbox to\@GALOISwidth{\@GALOISrightarrowfill{#3}}}%
\def\@GALOISleftarrow{\hbox to\@GALOISwidth{\@GALOISleftarrowfill{#4}}}%
\settodepth{\@GALOISalphaarrowhalfheight}{$\mathord{#3}$}%
\settoheight{\@tempdima}{$\mathord{#3}$}%
\addtolength{\@GALOISalphaarrowhalfheight}{\@tempdima}%
\divide \@GALOISalphaarrowhalfheight by 2%
\settodepth{\@GALOISgammaarrowhalfheight}{$\mathord{#4}$}%
\settoheight{\@tempdima}{$\mathord{#4}$}%
\addtolength{\@GALOISgammaarrowhalfheight}{\@tempdima}%
\divide \@GALOISgammaarrowhalfheight by 2%
\ifdim\@GALOISalphaarrowhalfheight>\@GALOISgammaarrowhalfheight%
\setlength{\@GALOISGap}{\@GALOISalphaarrowhalfheight}%
\else%
\addtolength{\@GALOISGap}{\@GALOISgammaarrowhalfheight}%
\fi%
\addtolength{\@GALOISGap}{\GaloisArrowsSep}%
\addtolength{\@GALOISGap}{\GaloisArrowThickness }%
\addtolength{\@GALOISGap}{\GaloisArrowThickness }%
\settodepth{\@GALOISalphadepth}{\@GALOISalphatag}%
\settoheight{\@GALOISalphaheight}{\@GALOISalphatag}%
\settodepth{\@GALOISgammadepth}{\@GALOISgammatag}%
\setlength{\@GALOISdepth}{\@GALOISalphadepth}%
\addtolength{\@GALOISdepth}{\@GALOISalphaheight}%
\addtolength{\@GALOISdepth}{\GaloisArrowTagSep}%
\addtolength{\@GALOISdepth}{-\GaloisArrowThickness }% lift from the stem thickness
\setlength{\@GALOISheight}{\@GALOISGap}%
\addtolength{\@GALOISheight}{\GaloisArrowTagSep}%
\addtolength{\@GALOISheight}{\@GALOISgammadepth}%
\settoheight{\@tempdima}{\@GALOISgammatag}%
\addtolength{\@GALOISheight}{\@tempdima}%
\setlength{\@GALOIStotalheight}{\@GALOISdepth}%
\addtolength{\@GALOIStotalheight}{\@GALOISheight}%
\Galois@put(0pt,0pt-\@GALOISalphaarrowhalfheight){\@GALOISrightarrow}%
\Galois@put(0pt,\@GALOISGap-\@GALOISalphaarrowhalfheight){\@GALOISleftarrow}%
\setlength{\@tempdima}{\@GALOISwidth}%
\settowidth{\@tempdimb}{\@GALOISalphatag}%
\addtolength{\@tempdima}{-\@tempdimb}%
\divide\@tempdima by 2%
\Galois@put(\@tempdima,\@GALOISalphadepth-\@GALOISdepth){\@GALOISalphatag}%
\setlength{\@tempdima}{\@GALOISwidth}%
\settowidth{\@tempdimb}{\@GALOISgammatag}%
\addtolength{\@tempdima}{-\@tempdimb}%
\divide\@tempdima by 2%
\setlength{\@tempdimb}{\@GALOISalphadepth}%
\addtolength{\@tempdimb}{\@GALOISalphaheight}%
\addtolength{\@tempdimb}{\GaloisArrowTagSep}%
\addtolength{\@tempdimb}{\GaloisArrowTagSep}%
\addtolength{\@tempdimb}{\@GALOISGap}%
\addtolength{\@tempdimb}{\@GALOISgammadepth}%
\Galois@put(\@tempdima,\@tempdimb-\@GALOISdepth){\@GALOISgammatag}%
\rule[-\@GALOISdepth]{0pt}{\@GALOIStotalheight}% set depth and height
\hspace*{\@GALOISwidth}% set width
}}}%
\newcommand{\galois}[2]{\@GALOIS{#1}{#2}{\rightarrow}{\leftarrow}}%
\def\@GALOISmytwoheadrightarrow{\rlap{$\:\,{\rightarrow}$}{\longrightarrow}}%
\def\@GALOIStwoheadrightarrow{\protect\@GALOISmytwoheadrightarrow}%
\newcommand{\galoiS}[2]{\@GALOIS{#1}{#2}{\@GALOIStwoheadrightarrow}{\leftarrow}}%
\def\@GALOISmytwoheadrightarrowreduc{\rlap{\smash{\hskip1ex\raisebox{0.815ex}%
{\tiny$\equiv$}}}\rlap{$\:\,{\rightarrow}$}{\longrightarrow}}%
\def\@GALOIStwoheadrightarrowreduc{\protect\@GALOISmytwoheadrightarrowreduc}%
\newcommand{\galoiSr}[2]{\@GALOIS{#1}{#2}{\@GALOIStwoheadrightarrowreduc}{\leftarrow}}%
\def\@GALOISmytwoheadleftarrow{\rlap{$\:{\leftarrow}$}{\longleftarrow}}%
\def\@GALOIStwoheadleftarrow{\protect\@GALOISmytwoheadleftarrow}%
\newcommand{\Galois}[2]{\@GALOIS{#1}{#2}{\rightarrow}{\@GALOIStwoheadleftarrow}}%
\newcommand{\GaloiS}[2]{\@GALOIS{#1}{#2}%
{\@GALOIStwoheadrightarrow}{\@GALOISmytwoheadleftarrow}}%
\endinput
%%
%% End of file `galois.sty'.
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