<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">% $Header: /usr/home/levy/texts/geomsty/RCS/geomenv.sty,v 1.15 95/12/13 20:32:50 levy Exp Locker: levy $

\@ifundefined{@@newtheorem}{}{\endinput}

%
% \newtheorem is modified so as to accept a (first) optional argument.
% If this is present, the new theorem type ``foo'' will spawn an inner
% environment ``foo@''.  The optional argument contains two
% brace-delimited token sequences, be inserted before and after the inner
% environment starts.
%
\def\newtheorem{\@ifnextchar[{\@newtheorem}{\@newtheorem[{}{}]}}%]

\long\def\@newtheorem[#1]{\@@newtheorem#1}

\long\def\@@newtheorem#1#2#3{%
  \newenvironment{#3}%
    {\def\object@type{#3}#1\@ifnextchar[{\@enva{#3}{#2}}{\@envb{#3}{#2}}}%]
    {\end{#3@}}%
  \@ifnextchar[{\@othm{#3@}}{\@nnthm{#3}}%]
}

\def\@nnthm#1#2{%
\@ifnextchar[{\@xnnthm{#1}{#2}}{\@ynnthm{#1}{#2}}}

\def\unnumbered#1{\expandafter\let\csname the#1\endcsname\relax}
 
\def\@xnnthm#1#2[#3]{\@definecounter{#1}\@addtoreset{#1}{#3}%
\expandafter\xdef\csname the#1\endcsname{\expandafter\noexpand
  \csname the#3\endcsname \@thmcountersep \@thmcounter{#1}}%
\global\@namedef{#1@}{\@thm{#1}{#2}}\global\@namedef{end#1@}{\@endtheorem}}
 
\def\@ynnthm#1#2{\@definecounter{#1}%
\expandafter\xdef\csname the#1\endcsname{\@thmcounter{#1}}%
\global\@namedef{#1@}{\@thm{#1}{#2}}\global\@namedef{end#1@}{\@endtheorem}}

\def\@enva#1#2[#3]{\begin{#1@}[#3]#2}
\def\@envb#1#2{\begin{#1@}#2}

%
% Avoid indentation after end of theorem-like environment.
%

\def\end#1{\csname end#1\endcsname\@checkend{#1}%
  \expandafter\endgroup \if@endpe \@doendpe \@restorepar \fi
  \if@ignore \global\@ignorefalse \ignorespaces\fi}

%
% \theoremintro allows the user to choose how the theorem take is
% going to look like.
%

\def\theoremintro#1{\normalshape\bf#1. }
%
% cannot use \@ifempty for this test because #2 typically looks like
% \csname thetheorem\csname, and \thetheorem has been \let to \relax.
%
\def\thrmintro#1#2{#1%
     \def\@tempa{#1}\ifx\@tempa\@empty\else
     \expandafter\let\expandafter\@tempa#2%  This gives \thetheorem
     \ifx\@tempa\relax\else{ }\fi\fi#2}

\def\@begintheorem#1#2{\trivlist\item[\hskip\labelsep
        \theoremintro{\thrmintro{#1}{#2}}\hskip-\labelsep]}

\def\@opargbegintheorem#1#2#3{\trivlist\item[\hskip \labelsep
        \theoremintro{\thrmintro{#1}{#2} (#3)}\hskip-\labelsep]\ifautolabel\label*{#3}\fi}

%
%  \specialdigits causes digits and punctuation to become active
%  and print in roman type.  \regulardigits cancels that.
%

\def\dowith#1{\let\@tempa#1%
        \@tempa,\@tempa.\@tempa:\@tempa;\@tempa(\@tempa)\@tempa!\@tempa?%
        \@tempa0\@tempa1\@tempa2\@tempa3\@tempa4%
        \@tempa5\@tempa6\@tempa7\@tempa8\@tempa9}
%
\def\makeactive#1{\catcode`#1=13}
\def\makeother#1{\catcode\expandafter`\noexpand#1=12}
\def\makechoice#1{\edef#1{%
  \noexpand\ifmmode\string#1%
  \noexpand\else\noexpand\ifhmode\/\noexpand\fi%
              {\noexpand\normalshape\string#1}\noexpand\fi}}
%
\def\regulardigits{\dowith\makeother}

{\dowith\makeactive
\gdef\specialdigits{%
\dowith\makeactive
\let\@tempa\makechoice
        \@tempa,\@tempa.\@tempa:\@tempa;\@tempa(\@tempa)\@tempa!\@tempa?%
        \@tempa0\@tempa1\@tempa2\@tempa3\@tempa4%
        \@tempa5\@tempa6\@tempa7\@tempa8\@tempa9}%
}

% The proof environment takes an optional argument, which defaults
% to \prooftag (which should be set by theorem-like environments).
% This argument is stored in \provedbox (after being passed to
% \provedboxcontents), to be printed in the ``proved box'' at 
% the end of the proof.  It is also printed at the beginning of proof,
% after being passed to \proofintro.

% If the proof
% ends with a displayed formula, it is recommented that the proved box
% be placed next to the formula (as if it were a tag).  This is done
% by inserting \proved before the closing $$.  In even more difficult
% cases (e.g., if the formula already has a tag, or is part of a 
% multi-line display), plop \box\provedbox where we want the box to be.

\def\prooftag{}
\def\setprooftag{\xdef\prooftag{\@currentlabel}}

\def\proof{}
\renewenvironment{proof}
  {\trivlist\item[]\@ifnextchar[{\pro@f}{\pro@f[\prooftag]}}%]
  {\ifvoid\provedbox\else\hproved\fi\endtrivlist}

% the next few lines, parallel to the Theorem setup, don't work for
% two reasons: \provedbox is set within a group and so disappears, and
% the nextchar seen by processproof is always \hskip.
%\newenvironment{proof}
%  {\trivlist\item[\hskip\labelsep\process@proof\hskip-\labelsep]}
%  {\ifvoid\provedbox\else\hproved\fi\endtrivlist}
%\def\process@proof{\@ifnextchar[{\pro@f}{\pro@f[\prooftag]}}%]

\def\pro@f[#1]{\setbox\provedbox\hbox{\provedboxcontents{#1}}\proofintro{#1}}

\def\proofintro#1{\expandafter\def\expandafter\@tempa\expandafter{#1}%
  {\it Proof\ifx\@tempa\empty\else\ of #1\fi. }\ignorespaces}

\def\provedboxcontents#1{\expandafter\def\expandafter\@tempa\expandafter{#1}%
  \ifx\@tempa\empty$\square$\else\fbox{\small#1}\fi}

\newbox\provedbox

\def\proved{\ifmmode\eqno{\box\provedbox}\else\hproved\fi}

\def\hproved{\unskip\nobreak\hfil\penalty50\hskip.5em\hbox{}\nobreak\hfil
  \box\provedbox{\parfillskip=0pt\finalhyphendemerits=0\par}}

% $Log:	geomenv.sty,v $
%Revision 1.15  95/12/13  20:32:50  levy
%make {proof} a redefinition instead of a definition
%
%Revision 1.14  95/07/22  13:32:31  levy
%put space after period in \theoremintro 
%(while at the same time removing the \labelsep)
%
%Revision 1.13  93/08/18  08:35:24  levy
%&gt; eliminated space for \newtheorem{justnumber}{}
%added definition of \unnumbered
%
%Revision 1.12  1993/03/16  23:55:14  levy
%*** empty log message ***
%
%Revision 1.11  93/03/07  23:08:41  levy
%removed a repeated invocation of \theoremintro in \opargbegintheorem
%
%Revision 1.10  1993/01/10  20:57:03  levy
%comparison in \proofintro should have \edef, not \def
%
%Revision 1.9  1993/01/10  17:11:12  levy
%*** empty log message ***
%
%Revision 1.8  92/10/01  15:31:59  levy
%fixed space in "Theorem ."
%
%Revision 1.7  92/07/17  13:44:21  levy
%*** empty log message ***
%
%Revision 1.6  92/07/13  21:54:27  levy
%further cleaned up the environments
%
%Revision 1.5  92/07/13  11:12:10  levy
%big change (abolished MakeStEnv)
%
%Revision 1.4  92/06/15  19:15:35  levy
%fixed disappearing punctuation in fancy italics
%
%Revision 1.3  92/06/03  11:25:24  levy
%active punctuation
%
%Revision 1.2  92/04/07  09:08:56  levy
%*** empty log message ***
%
%Revision 1.1  1992/03/21  02:42:28  levy
%Initial revision
%
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