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|
% \iffalse meta-comment
%
% Copyright (C) 2008-2014 by Ulrich M. Schwarz
% Copyright (C) 2019 by Frank Mittelbach
% Copyright (C) 2020- by Yukai Chou
%
% This file may be distributed and/or modified under the conditions of
% the LaTeX Project Public License, version 1.3c.
% The license can be obtained from
% http://www.latex-project.org/lppl/lppl-1.3c.txt
%
% \fi
%
%\iffalse (hide this from DocInput)
%<*restate>
%\fi
%
%\DescribeEnv{restatable}
%Only one environment is provided: \verb|restatable|, which takes one
%optional and two mandatory arguments. The first mandatory argument is the
%type of the theorem, i.e. if you want |\begin{lemma}| to be called on
%the inside, give |lemma|. The second argument is the name of the macro
%that the text should be stored in, for example \verb|mylemma|. Be careful
%not to specify existing command names! The optional argument will become the
%optional argument to your theorem command. Consider the following example:
%\begin{verbatim}
% \documentclass{article}
% \usepackage{amsmath, amsthm, thm-restate}
% \newtheorem{lemma}{Lemma}
% \begin{document}
% \begin{restatable}[Zorn]{lemma}{zornlemma}\label{thm:zorn}
% If every chain in $X$ is upper-bounded,
% $X$ has a maximal element.
%
% It's true, you know!
% \end{restatable}
% \begin{lemma}
% This is some other lemma of no import.
% \end{lemma}
% And now, here's Mr. Zorn again: \zornlemma*
% \end{document}
%\end{verbatim}
%which yields
% \begin{restatable}[Zorn]{lemma}{zornlemma}\label{thm:zorn}
% If every chain in $X$ is upper-bounded, $X$ has a maximal element.
%
% It's true, you know!
% \end{restatable}
% \begin{lemma}
% This is some other lemma of no import.
% \end{lemma}
% Actually, we have set a label in the environment, so we know that
% it's Lemma~\ref{thm:zorn} on page~\ref{thm:zorn}.
% And now, here's Mr. Zorn again: \zornlemma*
% Since we prevent the label from being set again, we find that
% it's still Lemma~\ref{thm:zorn} on page~\ref{thm:zorn}, even though
% it occurs later also.
%
% \DescribeEnv{restatable*}
% As you can see, we use the starred form |\mylemma*|. As in many cases in
% \LaTeX, the star means ``don't give a number'', since we want to retain
% the original number. There is also a starred variant of the |restatable|
% environment, where the first call doesn't determine the number, but a
% later call to |\mylemma| without star would. Since the number is carried
% around using \LaTeX' |\label| machanism, you'll need a rerun for things to
% settle.
%
% \subsection{Restrictions}
% The only counter that is saved is the one for the theorem number. So,
% putting floats inside a restatable is not advised: they will appear in the
% LoF several times with new numbers.
% Equations should work, but the code handling them might turn out to be
% brittle, in particular when you add/remove hyperref.
% %In the same vein, numbered equations
% %within the statement appear again and are numbered again, with new
% %numbers. (This is vaguely non-trivial to do correctly if equations are not
% %numbered consecutively, but per-chapter, or there are multiple numbered
% %equations.)
% Note that you cannot successfully reference the equations
% since all labels are disabled in the starred appearance. (The reference
% will point at the unstarred occurence.)
%
% You cannot nest
% restatables either. You \emph{can} use the |\restatable|\dots|\endrestatable|
% version, but everything up to the next matching |\end{...}| is scooped up.
% I've also probably missed many border cases.
%
%
%\StopEventually{}
% \begin{macrocode}
\RequirePackage{thmtools}
\let\@xa\expandafter
\let\@nx\noexpand
\@ifundefined{c@thmt@dummyctr}{%
\newcounter{thmt@dummyctr}%
}{}
\gdef\theHthmt@dummyctr{dummy.\arabic{thmt@dummyctr}}%
\gdef\thethmt@dummyctr{}%
\long\def\thmt@collect@body#1#2\end#3{%
\@xa\thmt@toks\@xa{\the\thmt@toks #2}%
\def\thmttmpa{#3}%\def\thmttmpb{restatable}%
\ifx\thmttmpa\@currenvir%thmttmpb
\@xa\@firstoftwo% this is the end of the environment.
\else
\@xa\@secondoftwo% go on collecting
\fi{% this is the end, my friend, drop the \end.
% and call #1 with the collected body.
\@xa#1\@xa{\the\thmt@toks}%
}{% go on collecting
\@xa\thmt@toks\@xa{\the\thmt@toks\end{#3}}%
\thmt@collect@body{#1}%
}%
}
% \end{macrocode}
% A totally ignorant version of |\ref|, defaulting to \#2 if label not
% known yet. Otherwise, return the formatted number.
% \begin{macrocode}
\def\thmt@trivialref#1#2{%
\ifcsname r@#1\endcsname
\@xa\@xa\@xa\thmt@trivi@lr@f\csname r@#1\endcsname\relax\@nil
\else #2\fi
}
\def\thmt@trivi@lr@f#1#2\@nil{#1}
% \end{macrocode}
%
% Counter safeties: some counters' values should be stored, such as
% equation, so we don't get a new number. (We cannot reference it anyway.)
% We cannot store everything, though, think page counter or section number!
% There is one problem here: we have to remove all references to other
% counters from |\theequation|, otherwise your equation could get a number
% like (3.1) in one place and (4.1) in another section.
%
% The best solution I can come up with is to override the usual macros
% that counter display goes through, to check if their argument is one
% that should be fully-expanded away or retained.
%
% The following should only be called from within a group, and the sanitized
% |\thectr| must not be called from within that group, since it needs the
% original |\@arabic| et al.
%
% \begin{macrocode}
\def\thmt@innercounters{%
equation}
\def\thmt@counterformatters{%
@alph,@Alph,@arabic,@roman,@Roman,@fnsymbol}
\@for\thmt@displ:=\thmt@counterformatters\do{%
\@xa\let\csname thmt@\thmt@displ\@xa\endcsname\csname \thmt@displ\endcsname
}%
\def\thmt@sanitizethe#1{%
\@for\thmt@displ:=\thmt@counterformatters\do{%
\@xa\protected@edef\csname\thmt@displ\endcsname##1{%
\@nx\ifx\@xa\@nx\csname c@#1\endcsname ##1%
\@xa\protect\csname \thmt@displ\endcsname{##1}%
\@nx\else
\@nx\csname thmt@\thmt@displ\endcsname{##1}%
\@nx\fi
}%
}%
\expandafter\protected@edef\csname the#1\endcsname{\csname the#1\endcsname}%
\ifcsname theH#1\endcsname
\expandafter\protected@edef\csname theH#1\endcsname{\csname theH#1\endcsname}%
\fi
}
\def\thmt@rst@storecounters#1{%
\bgroup
% ugly hack: save chapter,..subsection numbers
% for equation numbers.
%\refstepcounter{thmt@dummyctr}% why is this here?
%% temporarily disabled, broke autorefname.
\def\@currentlabel{}%
\@for\thmt@ctr:=\thmt@innercounters\do{%
\thmt@sanitizethe{\thmt@ctr}%
\protected@edef\@currentlabel{%
\@currentlabel
\protect\def\@xa\protect\csname the\thmt@ctr\endcsname{%
\csname the\thmt@ctr\endcsname}%
\ifcsname theH\thmt@ctr\endcsname
\protect\def\@xa\protect\csname theH\thmt@ctr\endcsname{%
(restate \protect\theHthmt@dummyctr)\csname theH\thmt@ctr\endcsname}%
\fi
\protect\setcounter{\thmt@ctr}{\number\csname c@\thmt@ctr\endcsname}%
}%
}%
\label{thmt@@#1@data}%
\egroup
}%
% \end{macrocode}
%
% Now, the main business.
%
% \begin{macrocode}
\newif\ifthmt@thisistheone
\newenvironment{thmt@restatable}[3][]{%
\thmt@toks{}% will hold body
%
\stepcounter{thmt@dummyctr}% used for data storage label.
%
\long\def\thmrst@store##1{%
\@xa\gdef\csname #3\endcsname{%
\@ifstar{%
\thmt@thisistheonefalse\csname thmt@stored@#3\endcsname
}{%
\thmt@thisistheonetrue\csname thmt@stored@#3\endcsname
}%
}%
\@xa\long\@xa\gdef\csname thmt@stored@#3\@xa\endcsname\@xa{%
\begingroup
\ifthmt@thisistheone
% these are the valid numbers, store them for the other
% occasions.
\thmt@rst@storecounters{#3}%
\else
% this one should use other numbers...
% first, fake the theorem number.
\@xa\protected@edef\csname the#2\endcsname{%
\thmt@trivialref{thmt@@#3}{??}}%
% if the number wasn't there, have a "re-run to get labels right"
% warning.
\ifcsname r@thmt@@#3\endcsname\else
\G@refundefinedtrue
\fi
% prevent stepcountering the theorem number,
% but still, have some number for hyperref, just in case.
\@xa\let\csname c@#2\endcsname=\c@thmt@dummyctr
\@xa\let\csname theH#2\endcsname=\theHthmt@dummyctr
% disable labeling.
\let\label=\thmt@gobble@label
\let\ltx@label=\@gobble% amsmath needs this
% We shall need to restore the counters at the end
% of the environment, so we get
% (4.2) [(3.1 from restate)] (4.3)
\def\thmt@restorecounters{}%
\@for\thmt@ctr:=\thmt@innercounters\do{%
\protected@edef\thmt@restorecounters{%
\thmt@restorecounters
\protect\setcounter{\thmt@ctr}{\arabic{\thmt@ctr}}%
}%
}%
% pull the new semi-static definition of \theequation et al.
% from the aux file.
\thmt@trivialref{thmt@@#3@data}{}%
\fi
% call the proper begin-env code, possibly with optional argument
% (omit if stored via key-val)
\ifthmt@restatethis
\thmt@restatethisfalse
\else
\csname #2\@xa\endcsname\ifx\@nx#1\@nx\else[{#1}]\fi
\fi
\ifthmt@thisistheone
% store a label so we can pick up the number later.
\label{thmt@@#3}%
\fi
% this will be the collected body.
##1%
\csname end#2\endcsname
% if we faked the counter values, restore originals now.
\ifthmt@thisistheone\else\thmt@restorecounters\fi
\endgroup
}% thmt@stored@#3
% in either case, now call the just-created macro,
\csname #3\@xa\endcsname\ifthmt@thisistheone\else*\fi
% and artificially close the current environment.
\@xa\end\@xa{\@currenvir}
}% thm@rst@store
\thmt@collect@body\thmrst@store
}{%
%% now empty, just used as a marker.
}
\let\thmt@gobble@label\@gobble
% cleveref extends syntax of \label to \label[...]{...}
\AtBeginDocument{
\@ifpackageloaded{cleveref}{
\renewcommand*\thmt@gobble@label[2][]{}
}{}
}
\newenvironment{restatable}{%
\thmt@thisistheonetrue\thmt@restatable
}{%
\endthmt@restatable
}
\newenvironment{restatable*}{%
\thmt@thisistheonefalse\thmt@restatable
}{%
\endthmt@restatable
}
%%% support for keyval-style: restate=foobar
\protected@edef\thmt@thmuse@families{%
\thmt@thmuse@families%
,restate phase 1%
,restate phase 2%
}
\newcommand\thmt@splitrestateargs[1][]{%
\g@addto@macro\thmt@storedoptargs{,#1}%
\def\tmp@a##1\@{\def\thmt@storename{##1}}%
\tmp@a
}
\newif\ifthmt@restatethis
\define@key{restate phase 1}{restate}{%
\thmt@thmuse@iskvtrue
\def\thmt@storedoptargs{}% discard the first time around
\thmt@splitrestateargs #1\@
\def\thmt@storedoptargs{}% discard the first time around
%\def\thmt@storename{#1}%
\thmt@debug{we will restate as `\thmt@storename' with more args
`\thmt@storedoptargs'}%
\@namedef{thmt@unusedkey@restate}{}%
% spurious "unused key" fixes itself once we are after tracknames...
\thmt@restatethistrue
\protected@edef\tmp@a{%
\@nx\thmt@thisistheonetrue
\@nx\def\@nx\@currenvir{\thmt@envname}%
\@nx\@xa\@nx\thmt@restatable\@nx\@xa[\@nx\thmt@storedoptargs]%
{\thmt@envname}{\thmt@storename}%
}%
\@xa\g@addto@macro\@xa\thmt@local@postheadhook\@xa{%
\tmp@a
}%
}
\thmt@mkignoringkeyhandler{restate phase 1}
\define@key{restate phase 2}{restate}{%
% do not store restate as a key for repetition:
% infinite loop.
% instead, retain the added keyvals
% overwriting thmt@storename should be safe here, it's been
% xdefd into the postheadhook
\thmt@splitrestateargs #1\@
}
\kv@set@family@handler{restate phase 2}{%
\ifthmt@restatethis
\@xa\@xa\@xa\g@addto@macro\@xa\@xa\@xa\thmt@storedoptargs\@xa\@xa\@xa{\@xa\@xa\@xa,%
\@xa\kv@key\@xa=\kv@value}%
\fi
}
% \end{macrocode}
%\iffalse
%</restate>
%\fi
|