summaryrefslogtreecommitdiff
path: root/macros/latex/contrib/stex/source/stex/stex-proofs.dtx
diff options
context:
space:
mode:
Diffstat (limited to 'macros/latex/contrib/stex/source/stex/stex-proofs.dtx')
-rw-r--r--macros/latex/contrib/stex/source/stex/stex-proofs.dtx403
1 files changed, 53 insertions, 350 deletions
diff --git a/macros/latex/contrib/stex/source/stex/stex-proofs.dtx b/macros/latex/contrib/stex/source/stex/stex-proofs.dtx
index c4bf4e48fb..c2cdb3b54e 100644
--- a/macros/latex/contrib/stex/source/stex/stex-proofs.dtx
+++ b/macros/latex/contrib/stex/source/stex/stex-proofs.dtx
@@ -1,16 +1,16 @@
% \iffalse meta-comment
% An Infrastructure for Structural Markup for Proofs
% Copyright (c) 2019 Michael Kohlhase, all rights reserved
-% this file is released under the
-% LaTeX Project Public License (LPPL)
-%
+% this file is released under the
+% LaTeX Project Public License (LPPL)
+%
% The original of this file is in the public repository at
% http://github.com/sLaTeX/sTeX/
-% \fi
-%
-% \iffalse
+%
+% TODO update copyright
+%
%<*driver>
-\def\bibfolder{../../lib/bib}
+\def\bibfolder#1{../../lib/bib/#1}
\input{../../doc/stex-docheader}
\begin{document}
@@ -18,305 +18,46 @@
\end{document}
%</driver>
% \fi
-%
-% \iffalse\CheckSum{341}\fi
%
-% ^^A \changes{v0.9}{2005/06/14}{First Version with Documentation}
-%
% \GetFileInfo{sproof.sty}
%
-% \title{\sTeX-Proofs: Structural Markup for Proofs\thanks{Version {\fileversion} (last revised
-% {\filedate})}}
-% \author{Michael Kohlhase, Dennis Müller\\
-% FAU Erlangen-N\"urnberg\\
-% \url{http://kwarc.info/kohlhase}}
+% \title{\sTeX-Proofs: Structural Markup for Proofs\thanks{Version {\fileversion} (last revised {\filedate})}
+% }
+%
+% \author{Michael Kohlhase, Dennis Müller\\
+% FAU Erlangen-Nürnberg\\
+% \url{http://kwarc.info/}
+%c }
+%
% \maketitle
%
%\ifinfulldoc\else
-% This is the documentation for the \pkg{stex-proofs} package.
-% For a more high-level introduction,
-% see \href{\basedocurl/manual.pdf}{the \sTeX Manual} or the
-% \href{\basedocurl/stex.pdf}{full \sTeX documentation}.
+% \begin{abstract}
+% This is the documentation for the \pkg{stex-proofs} package.
+%
+% The |sproof| package is part of the {\stex} collection, a version of {\TeX/\LaTeX} that
+% allows to markup {\TeX/\LaTeX} documents semantically without leaving the document
+% format, essentially turning {\TeX/\LaTeX} into a document format for mathematical
+% knowledge management (MKM).
+%
+% The \pkg{stex-proofs} package supplies macros and environment that allow to annotate the
+% structure of mathematical proofs in {\stex} files. This structure can be used by MKM
+% systems for added-value services, either directly from the \sTeX sources, or after
+% translation.
+%
+% For a more high-level introduction, see \href{\basedocurl/manual.pdf}{the \sTeX Manual}
+% or the \href{\basedocurl/stex.pdf}{full \sTeX documentation}.
+% \end{abstract}
+%
+% \tableofcontents
%
% \input{../../doc/packages/stex-proofs}
% \fi
%
% \begin{documentation}
-%
-% The |sproof| package is part of the {\stex} collection, a version of {\TeX/\LaTeX} that
-% allows to markup {\TeX/\LaTeX} documents semantically without leaving the document
-% format, essentially turning {\TeX/\LaTeX} into a document format for mathematical
-% knowledge management (MKM).
-%
-% This package supplies macros and environment that allow to annotate the structure of
-% mathematical proofs in {\stex} files. This structure can be used by MKM systems for
-% added-value services, either directly from the \sTeX sources, or after translation.
-%
-% \newpage\tableofcontents\newpage
-%
-%\section{Introduction}\label{sec:sproof}
-%
-% The |sproof| ({\twintoo{semantic}{proofs}}) package supplies macros and environment that
-% allow to annotate the structure of mathematical proofs in {\stex} files. This structure
-% can be used by MKM systems for added-value services, either directly from the \sTeX
-% sources, or after translation. Even though it is part of the {\stex} collection, it can
-% be used independently, like it's sister package |statements|.
-%
-% {\stex} is a version of {\TeX/\LaTeX} that allows to markup {\TeX/\LaTeX} documents
-% semantically without leaving the document format, essentially turning {\TeX/\LaTeX} into
-% a document format for mathematical knowledge management (MKM).
-%
-% \begin{exfig}\scriptsize
-% \begin{verbatim}
-% \begin{sproof}[id=simple-proof]
-% {We prove that $\sum_{i=1}^n{2i-1}=n^{2}$ by induction over $n$}
-% \begin{spfcases}{For the induction we have to consider the following cases:}
-% \begin{spfcase}{$n=1$}
-% \begin{spfstep}[type=inline] then we compute $1=1^2$\end{spfstep}
-% \end{spfcase}
-% \begin{spfcase}{$n=2$}
-% \begin{sproofcomment}[type=inline]
-% This case is not really necessary, but we do it for the
-% fun of it (and to get more intuition).
-% \end{sproofcomment}
-% \begin{spfstep}[type=inline] We compute $1+3=2^{2}=4$.\end{spfstep}
-% \end{spfcase}
-% \begin{spfcase}{$n>1$}
-% \begin{spfstep}[type=assumption,id=ind-hyp]
-% Now, we assume that the assertion is true for a certain $k\geq 1$,
-% i.e. $\sum_{i=1}^k{(2i-1)}=k^{2}$.
-% \end{spfstep}
-% \begin{sproofcomment}
-% We have to show that we can derive the assertion for $n=k+1$ from
-% this assumption, i.e. $\sum_{i=1}^{k+1}{(2i-1)}=(k+1)^{2}$.
-% \end{sproofcomment}
-% \begin{spfstep}
-% We obtain $\sum_{i=1}^{k+1}{2i-1}=\sum_{i=1}^k{2i-1}+2(k+1)-1$
-% \begin{justification}[method=arith:split-sum]
-% by splitting the sum.
-% \end{justification}
-% \end{spfstep}
-% \begin{spfstep}
-% Thus we have $\sum_{i=1}^{k+1}{(2i-1)}=k^2+2k+1$
-% \begin{justification}[method=fertilize]
-% by inductive hypothesis.
-% \end{justification}
-% \end{spfstep}
-% \begin{spfstep}[type=conclusion]
-% We can \begin{justification}[method=simplify]simplify\end{justification}
-% the right-hand side to ${k+1}^2$, which proves the assertion.
-% \end{spfstep}
-% \end{spfcase}
-% \begin{spfstep}[type=conclusion]
-% We have considered all the cases, so we have proven the assertion.
-% \end{spfstep}
-% \end{spfcases}
-% \end{sproof}
-% \end{verbatim}
-% \vspace*{-.5cm}
-% \caption{A very explicit proof, marked up semantically}\label{fig:proof:src}
-% \end{exfig}
-%
-% We will go over the general intuition by way of our running example (see
-% Figure~\ref{fig:proof:src} for the source and Figure~\ref{fig:proof:result} for the
-% formatted result).\ednote{talk a bit more about proofs and their structure,... maybe
-% copy from OMDoc spec. }
-%
-% \section{The User Interface}
-%
-% \subsection{Package Options}\label{sec:user:options}
-%
-% The |sproof| package takes a single option: \DescribeMacro{showmeta}|showmeta|. If
-% this is set, then the metadata keys are shown (see~\cite{Kohlhase:metakeys} for details
-% and customization options).
-%
-% \subsection{Proofs and Proof steps}
-%
-% \DescribeEnv{sproof} The |proof| environment is the main container for proofs. It takes
-% an optional |KeyVal| argument that allows to specify the |id| (identifier) and |for|
-% (for which assertion is this a proof) keys. The regular argument of the |proof|
-% environment contains an introductory comment, that may be used to announce the proof
-% style. The |proof| environment contains a sequence of |\step|, |proofcomment|, and
-% |pfcases| environments that are used to markup the proof steps. The |proof| environment
-% has a variant |Proof|, which does not use the proof end marker. This is convenient, if a
-% proof ends in a case distinction, which brings it's own proof end marker with it.
-% \DescribeEnv{sProof} The |Proof| environment is a variant of |proof| that does not mark
-% the end of a proof with a little box; presumably, since one of the subproofs already has
-% one and then a box supplied by the outer proof would generate an otherwise empty line.
-% \DescribeMacro{\spfidea} The |\spfidea| macro allows to give a one-paragraph
-% description of the proof idea.
-%
-% For one-line proof sketches, we use the \DescribeMacro{spfsketch}|\spfsketch| macro,
-% which takes the |KeyVal| argument as |sproof| and another one: a natural language text
-% that sketches the proof.
-%
-% \DescribeEnv{spfstep} Regular proof steps are marked up with the |step| environment, which
-% takes an optional |KeyVal| argument for annotations. A proof step usually contains a
-% local assertion (the text of the step) together with some kind of evidence that this can
-% be derived from already established assertions.
-%
-% Note that both |\premise| and |\justarg| can be used with an empty second argument to
-% mark up premises and arguments that are not explicitly mentioned in the text.
-%
-% \begin{exfig}
-% \begin{sproof}[id=simple-proof]
-% {We prove that $\sum_{i=1}^n{2i-1}=n^{2}$ by induction over $n$}
-% \begin{spfcases}{For the induction we have to consider the following cases:}
-% \begin{spfcase}{$n=1$}
-% \begin{spfstep}[type=inline] then we compute $1=1^2$\end{spfstep}
-% \end{spfcase}
-% \begin{spfcase}{$n=2$}
-% \begin{sproofcomment}[type=inline]
-% This case is not really necessary, but we do it for the fun
-% of it (and to get more intuition).
-% \end{sproofcomment}
-% \begin{spfstep}[type=inline]
-% We compute $1+3=2^{2}=4$
-% \end{spfstep}
-% \end{spfcase}
-% \begin{spfcase}{$n>1$}
-% \begin{spfstep}[type=hypothesis,id=ind-hyp]
-% Now, we assume that the assertion is true for a certain $k\geq 1$, i.e.
-% $\sum_{i=1}^k{(2i-1)}=k^{2}$.
-% \end{spfstep}
-% \begin{sproofcomment}
-% We have to show that we can derive the assertion for $n=k+1$ from this
-% assumption, i.e. $\sum_{i=1}^{k+1}{(2i-1)}=(k+1)^{2}$.
-% \end{sproofcomment}
-% \begin{spfstep}[id=splitit]
-% We obtain $\sum_{i=1}^{k+1}{(2i-1)}=\sum_{i=1}^k{(2i-1)}+2(k+1)-1$
-% \begin{justification}[method=arith:split-sum]
-% by splitting the sum
-% \end{justification}
-% \end{spfstep}
-% \begin{spfstep}[id=byindhyp]
-% Thus we have $\sum_{i=1}^{k+1}{(2i-1)}=k^2+2k+1$
-% \begin{justification}[method=fertilize]
-% by \premise[ind-hyp]{inductive hypothesis}.
-% \end{justification}
-% \end{spfstep}
-% \begin{spfstep}[type=conclusion]
-% We can \begin{justification}[method=simplify-eq]
-% simplify the {\justarg[rhs]{right-hand side}}
-% \end{justification} to $(k+1)^2$, which proves the assertion.
-% \end{spfstep}
-% \end{spfcase}
-% \begin{spfstep}[type=conclusion]
-% We have considered all the cases, so we have proven the assertion.
-% \end{spfstep}
-% \end{spfcases}
-% \end{sproof}
-% \caption{The formatted result of the proof in Figure~\ref{fig:proof:src}}\label{fig:proof:result}
-% \end{exfig}
-%
-% \subsection{Justifications}
+% \changes{v0.9}{2022/02/14}{Moved over from the \pkg{sproofs} package}
%
-% \DescribeEnv{justification} This evidence is marked up with the |justification|
-% environment in the |sproof| package. This environment totally invisible to the formatted
-% result; it wraps the text in the proof step that corresponds to the evidence. The
-% environment takes an optional |KeyVal| argument, which can have the |method| key, whose
-% value is the name of a proof method (this will only need to mean something to the
-% application that consumes the semantic annotations). Furthermore, the justification can
-% contain ``premises'' (specifications to assertions that were used justify the step) and
-% ``arguments'' (other information taken into account by the proof method).
-%
-% \DescribeMacro{\premise} The |\premise| macro allows to mark up part of the text as
-% reference to an assertion that is used in the argumentation. In the example in
-% Figure~\ref{fig:proof:src} we have used the |\premise| macro to identify the inductive
-% hypothesis.
%
-% \DescribeMacro{\justarg} The |\justarg| macro is very similar to |\premise| with the
-% difference that it is used to mark up arguments to the proof method. Therefore the
-% content of the first argument is interpreted as a mathematical object rather than as an
-% identifier as in the case of |\premise|. In our example, we specified that the
-% simplification should take place on the right hand side of the equation. Other examples
-% include proof methods that instantiate. Here we would indicate the substituted object in
-% a |\justarg| macro.
-%
-% \subsection{Proof Structure}
-%
-% \DescribeEnv{subproof} The |pfcases| environment is used to mark up a subproof. This
-% environment takes an optional |KeyVal| argument for semantic annotations and a second
-% argument that allows to specify an introductory comment (just like in the |proof|
-% environment). The \DescribeMacro{method}|method| key can be used to give the name of the
-% proof method executed to make this subproof.
-%
-% \DescribeEnv{spfcases} The |pfcases| environment is used to mark up a proof by
-% cases. Technically it is a variant of the |subproof| where the |method| is
-% |by-cases|. Its contents are |spfcase| environments that mark up the cases one by one.
-%
-% \DescribeEnv{spfcase} The content of a |pfcases| environment are a sequence of case
-% proofs marked up in the |pfcase| environment, which takes an optional |KeyVal| argument
-% for semantic annotations. The second argument is used to specify the the description of
-% the case under consideration. The content of a |pfcase| environment is the same as that
-% of a |proof|, i.e. |step|s, |proofcomment|s, and |pfcases|
-% environments. \DescribeMacro{\spfcasesketch}|\spfcasesketch| is a variant of the |spfcase|
-% environment that takes the same arguments, but instead of the |spfstep|s in the body
-% uses a third argument for a proof sketch.
-%
-% \DescribeEnv{sproofcomment} The |proofcomment| environment is much like a |step|, only
-% that it does not have an object-level assertion of its own. Rather than asserting some
-% fact that is relevant for the proof, it is used to explain where the proof is going,
-% what we are attempting to to, or what we have achieved so far. As such, it cannot be the
-% target of a |\premise|.
-%
-% \subsection{Proof End Markers}
-%
-% Traditionally, the end of a mathematical proof is marked with a little box at the end of
-% the last line of the proof (if there is space and on the end of the next line if there
-% isn't), like so:\sproofend
-%
-% The |sproof| package provides the \DescribeMacro{\sproofend}|\sproofend| macro for
-% this. If a different symbol for the proof end is to be used (e.g. {\sl{q.e.d}}), then
-% this can be obtained by specifying it using the
-% \DescribeMacro{\sProofEndSymbol}|\sProofEndSymbol| configuration macro (e.g. by specifying
-% |\sProofEndSymbol{q.e.d}|).
-%
-% Some of the proof structuring macros above will insert proof end symbols for sub-proofs,
-% in most cases, this is desirable to make the proof structure explicit, but sometimes
-% this wastes space (especially, if a proof ends in a case analysis which will supply its
-% own proof end marker). To suppress it locally, just set |proofend={}| in them or use use
-% |\sProofEndSymbol{}|.
-%
-% \subsection{Configuration of the Presentation}\label{sec:user:conf}
-%
-% Finally, we provide configuration hooks in Figure~\ref{fig:hooks} for the keywords in
-% proofs. These are mainly intended for package authors building on |statements|, e.g. for
-% multi-language support.\ednote{we might want to develop an extension
-% \texttt{sproof-babel} in the future.}.
-%\begin{figure}[ht]\centering
-% \begin{tabular}{|lll|}\hline
-% Environment & configuration macro & value\\\hline\hline
-% \texttt{sproof} & \texttt{\textbackslash spf@proof@kw} & \makeatletter\spf@proof@kw\\\hline
-% \texttt{sketchproof} & \texttt{\textbackslash spf@sketchproof@kw} & \makeatletter\spf@proofsketch@kw\\\hline
-% \end{tabular}
-% \caption{Configuration Hooks for Semantic Proof Markup}\label{fig:hooks}
-% \end{figure}
-% The proof step labels can be customized via the
-% \DescribeMacro{\pstlabelstyle}|\pstlabelstyle| macro: |\pstlabelstyle{|\meta{style}|}|
-% sets the style; see Figure~\ref{fig:pstlabel} for an overview of styles. Package writers
-% can add additional styles by adding a macro |\pst@make@label@|\meta{style} that takes
-% two arguments: a comma-separated list of ordinals that make up the prefix and the current
-% ordinal. Note that comma-separated lists can be conveniently iterated over by the
-% {\LaTeX} |\@for|\ldots|:=|\ldots|\do{|\ldots|}| macro; see Figure~\ref{fig:pstlabel} for
-% examples.
-%
-% \section{Limitations}\label{sec:limitations}
-%
-% In this section we document known limitations. If you want to help alleviate them,
-% please feel free to contact the package author. Some of them are currently discussed in
-% the \sTeX issue tracker at \cite{sTeX:github:on}.
-% \begin{enumerate}
-% \item The numbering scheme of proofs cannot be changed. It is more geared for teaching
-% proof structures (the author's main use case) and not for writing papers.\lec{reported
-% by Tobias Pfeiffer (fixed)}
-% \item currently proof steps are formatted by the {\LaTeX} |description| environment. We
-% would like to configure this, e.g. to use the |inparaenum| environment for more
-% condensed proofs. I am just not sure what the best user interface would be I can
-% imagine redefining an internal environment |spf@proofstep@list| or adding a key
-% |prooflistenv| to the |proof| environment that allows to specify the environment
-% directly. Maybe we should do both.
-% \end{enumerate}
%
% \end{documentation}
%
@@ -324,12 +65,6 @@
%
% \section{The Implementation}
%
-% \subsection{Package Options}\label{sec:impl:options}
-%
-% We declare some switches which will modify the behavior according to the package
-% options. Generally, an option |xxx| will just set the appropriate switches to true
-% (otherwise they stay false).\ednote{need an implementation for {\latexml}}
-%
% \begin{macrocode}
%<*package>
%<@@=stex_sproof>
@@ -385,15 +120,6 @@
% not do automatic numbering, and we have to add keyword arguments all over the place, to
% accomodate semantic information.
%
-% \begin{environment}{pst@with@label}
-% This environment manages\footnote{This gets the labeling right but only works 8 levels
-% deep} the path labeling of the proof steps in the description environment of the
-% outermost |proof| environment. The argument is the label prefix up to now; which we
-% cache in |\pst@label| (we need evaluate it first, since are in the right place
-% now!). Then we increment the proof depth which is stored in |\count10| (lower counters
-% are used by {\TeX} for page numbering) and initialize the next level counter
-% |\count\count10| with 1. In the end call for this environment, we just decrease the
-% proof depth counter by 1 again.
% \begin{macrocode}
\intarray_new:Nn\l_@@_counter_intarray{50}
\cs_new_protected:Npn \sproofnumber {
@@ -449,8 +175,6 @@
\intarray_gset:Nnn \l_@@_counter_intarray \l_tmpa_int { 0 }
}
% \end{macrocode}
-% \end{environment}
-%
%
%\begin{macro}{\sproofend}
% This macro places a little box at the end of the line if there is space, or at the
@@ -725,7 +449,7 @@
}
\cs_new_protected:Nn \_@@_sproof_end: {\sproofend}
-\newcommand\stexpatchsproof[3][] {
+\newcommand\stexpatchproof[3][] {
\str_set:Nx \l_tmpa_str{ #1 }
\str_if_empty:NTF \l_tmpa_str {
\tl_set:Nn \_@@_sproof_start: { #2 }
@@ -767,6 +491,17 @@
}
}{
\@in@omtexttrue
+ \clist_set:No \l_tmpa_clist \spftype
+ \tl_set:Nn \l_tmpa_tl {
+ \item[\sproofnumber]
+ \bool_set_true:N \l_@@_inc_counter_bool
+ }
+ \clist_map_inline:Nn \l_tmpa_clist {
+ \exp_args:No \str_if_eq:nnT \c_@@_flow_str {##1} {
+ \tl_clear:N \l_tmpa_tl
+ }
+ }
+ \l_tmpa_tl
\seq_clear:N \l_tmpa_seq
\clist_map_inline:Nn \l_@@_spf_for_clist {
\tl_if_empty:nF{ ##1 }{
@@ -781,17 +516,6 @@
\str_if_empty:NF \spftype {
\stex_annotate_invisible:nnn{type}{\spftype}{}
}
- \clist_set:No \l_tmpa_clist \spftype
- \tl_set:Nn \l_tmpa_tl {
- \item[\sproofnumber]
- \bool_set_true:N \l_@@_inc_counter_bool
- }
- \clist_map_inline:Nn \l_tmpa_clist {
- \exp_args:No \str_if_eq:nnT \c_@@_flow_str {##1} {
- \tl_clear:N \l_tmpa_tl
- }
- }
- \l_tmpa_tl
\tl_if_empty:NF \spftitle {
{(\titleemph{\spftitle})\enspace}
}
@@ -812,9 +536,9 @@
% \end{macrocode}
% \end{environment}
%
-% \begin{environment}{sproofcomment}
+% \begin{environment}{spfcomment}
% \begin{macrocode}
-\newenvironment{sproofcomment}[1][]{
+\newenvironment{spfcomment}[1][]{
\_@@_spf_args:n{#1}
\clist_set:No \l_tmpa_clist \spftype
\tl_set:Nn \l_tmpa_tl {
@@ -1001,11 +725,11 @@
% arguments for now and only display the content.\ednote{need to do something about the
% premise in draft mode.}
%
-% \begin{environment}{justification}
+% \begin{macro}{\spfjust}
% \begin{macrocode}
-\newenvironment{justification}[1][]{}{}
+\newcommand\spfjust[1][]{}
% \end{macrocode}
-% \end{environment}
+% \end{macro}
%
% \begin{macro}{\premise}
% \begin{macrocode}
@@ -1023,31 +747,10 @@
% \end{macro}
% \end{implementation}
% \Finale
+% \ifinfulldoc\else\printbibliography\fi
\endinput
+
%%% Local Variables:
%%% mode: doctex
%%% TeX-master: t
%%% End:
-% LocalWords: GPL structuresharing STR sproof dtx CPERL keyval methodfalse env
-% LocalWords: methodtrue envtrue medhodtrue DefKeyVal Semiverbatim omdoc args
-% LocalWords: DefEnvironment OptionalKeyVals KeyVal omtext DefConstructor str
-% LocalWords: proofidea KeyVal pfstep DefCMPEnvironment KeyVal proofcomment eq
-% LocalWords: KeyVal pfcases KeyVal pfcase KeyVal extractBodyText unlist elsif
-% LocalWords: foreach getBody toString str str str LookupValue LastSeenCMP Thu
-% LocalWords: appendText getValue undef openElement closeElement DefMacro omd
-% LocalWords: afterClose nodeType childNodes firstCMP localname hasChildNodes
-% LocalWords: firstChild textContent removeChild iffalse kohlhase sref scsys
-% LocalWords: sproofs.sty sc sc mathml openmath latexml cmathml activemath geq
-% LocalWords: twintoo atwin atwintoo texttt fileversion maketitle stex newpage
-% LocalWords: tableofcontents newpage exfig scriptsize vspace ednote spfidea
-% LocalWords: spfidea spfsketch spfsketch spfstep justarg spfcases spfcase rhs
-% LocalWords: sproofcomment ind-hyp splitit arith byindhyp sproofend proofend
-% LocalWords: printbibliography textsf langle textsf langle ltxml ctancite spf
-% LocalWords: srefaddidkey pf.sty newenvironment hbox vrule vbox ifx showmeta
-% LocalWords: hrule vskip hrule vrule hfil nobreak hfill smallskip newcommand
-% LocalWords: stDMemph newcount endsproof xref doctex showmeta hline lec ldots
-% LocalWords: textbackslash makeatletter sketchproof compactenum tracissue
-% LocalWords: metakeys addmetakey metasetkeys stylable pstlabelstyle pstlabel
-% LocalWords: pstlabelstyle pstlabelstyle ldots ldots ensuremath inparaenum
-% LocalWords: nameuse prooflistenv spfcasesketch spfcasesketch spfeq rcll
-% LocalWords: displaymath noindent ignorespaces