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+%%% ====================================================================
+%%% @LaTeX-file{
+%%% filename = "thmtest.tex",
+%%% version = "2.01",
+%%% date = "2004/08/02",
+%%% time = "14:18:27 EDT",
+%%% checksum = "26819 255 963 8277",
+%%% author = "American Mathematical Society",
+%%% copyright = "Copyright 1996, 2004 American Mathematical Society,
+%%% all rights reserved. Copying of this file is
+%%% authorized only if either:
+%%% (1) you make absolutely no changes to your copy,
+%%% including name; OR
+%%% (2) if you do make changes, you first rename it
+%%% to some other name.",
+%%% address = "American Mathematical Society,
+%%% Technical Support,
+%%% Publications Technical Group,
+%%% 201 Charles Street,
+%%% Providence, RI 02904,
+%%% USA",
+%%% telephone = "401-455-4080 or (in the USA and Canada)
+%%% 800-321-4AMS (321-4267)",
+%%% FAX = "401-331-3842",
+%%% email = "tech-support@ams.org (Internet)",
+%%% codetable = "ISO/ASCII",
+%%% supported = "yes",
+%%% keywords = "latex, amslatex, ams-latex, theorem, proof",
+%%% abstract = "This is part of the AMS-\LaTeX{} distribution.
+%%% It is a sample document illustrating the use of
+%%% the amsthm package.",
+%%% docstring = "The checksum field above contains a CRC-16
+%%% checksum as the first value, followed by the
+%%% equivalent of the standard UNIX wc (word
+%%% count) utility output of lines, words, and
+%%% characters. This is produced by Robert
+%%% Solovay's checksum utility.",
+%%% }
+%%% ====================================================================
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Option test file, will be created during the first LaTeX run;
+% this facility is not available when using an AMS document class.
+\begin{filecontents}{exercise.thm}
+\def\th@exercise{%
+ \normalfont % body font
+ \thm@headpunct{:}%
+}
+\end{filecontents}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\documentclass{article}
+\title{Newtheorem and theoremstyle test}
+\author{Michael Downes\\updated by Barbara Beeton}
+
+\usepackage[exercise]{amsthm}
+
+\newtheorem{thm}{Theorem}[section]
+\newtheorem{cor}[thm]{Corollary}
+\newtheorem{prop}{Proposition}
+\newtheorem{lem}[thm]{Lemma}
+
+\theoremstyle{remark}
+\newtheorem*{rmk}{Remark}
+
+\theoremstyle{plain}
+\newtheorem*{Ahlfors}{Ahlfors' Lemma}
+
+\newtheoremstyle{note}% name
+ {3pt}% Space above
+ {3pt}% Space below
+ {}% Body font
+ {}% Indent amount (empty = no indent, \parindent = para indent)
+ {\itshape}% Thm head font
+ {:}% Punctuation after thm head
+ {.5em}% Space after thm head: " " = normal interword space;
+ % \newline = linebreak
+ {}% Thm head spec (can be left empty, meaning `normal')
+
+\theoremstyle{note}
+\newtheorem{note}{Note}
+
+\newtheoremstyle{citing}% name
+ {3pt}% Space above, empty = `usual value'
+ {3pt}% Space below
+ {\itshape}% Body font
+ {}% Indent amount (empty = no indent, \parindent = para indent)
+ {\bfseries}% Thm head font
+ {.}% Punctuation after thm head
+ {.5em}% Space after thm head: " " = normal interword space;
+ % \newline = linebreak
+ {\thmnote{#3}}% Thm head spec
+
+\theoremstyle{citing}
+\newtheorem*{varthm}{}% all text supplied in the note
+
+\newtheoremstyle{break}% name
+ {9pt}% Space above, empty = `usual value'
+ {9pt}% Space below
+ {\itshape}% Body font
+ {}% Indent amount (empty = no indent, \parindent = para indent)
+ {\bfseries}% Thm head font
+ {.}% Punctuation after thm head
+ {\newline}% Space after thm head: \newline = linebreak
+ {}% Thm head spec
+
+\theoremstyle{break}
+\newtheorem{bthm}{B-Theorem}
+
+\theoremstyle{exercise}
+\newtheorem{exer}{Exercise}
+
+\swapnumbers
+\theoremstyle{plain}
+\newtheorem{thmsw}{Theorem}[section]
+\newtheorem{corsw}[thmsw]{Corollary}
+\newtheorem{propsw}{Proposition}
+\newtheorem{lemsw}[thmsw]{Lemma}
+
+% Because the amsmath pkg is not used, we need to define a couple of
+% commands in more primitive terms.
+\let\lvert=|\let\rvert=|
+\newcommand{\Ric}{\mathop{\mathrm{Ric}}\nolimits}
+
+% Dispel annoying problem of slightly overlong lines:
+\addtolength{\textwidth}{8pt}
+
+\begin{document}
+\maketitle
+
+\section{Test of standard theorem styles}
+
+Ahlfors' Lemma gives the principal criterion for obtaining lower bounds
+on the Kobayashi metric.
+
+\begin{Ahlfors}
+Let $ds^2 = h(z)\lvert dz\rvert^2$ be a Hermitian pseudo-metric on
+$\mathbf{D}_r$, $h\in C^2(\mathbf{D}_r)$, with $\omega$ the associated
+$(1,1)$-form. If $\Ric\omega\geq\omega$ on $\mathbf{D}_r$,
+then $\omega\leq\omega_r$ on all of $\mathbf{D}_r$ (or equivalently,
+$ds^2\leq ds_r^2$).
+\end{Ahlfors}
+
+\begin{lem}[negatively curved families]
+Let $\{ds_1^2,\dots,ds_k^2\}$ be a negatively curved family of metrics
+on $\mathbf{D}_r$, with associated forms $\omega^1$, \dots, $\omega^k$.
+Then $\omega^i \leq\omega_r$ for all $i$.
+\end{lem}
+
+Then our main theorem:
+\begin{thm}\label{pigspan}
+Let $d_{\max}$ and $d_{\min}$ be the maximum, resp.\ minimum distance
+between any two adjacent vertices of a quadrilateral $Q$. Let $\sigma$
+be the diagonal pigspan of a pig $P$ with four legs.
+Then $P$ is capable of standing on the corners of $Q$ iff
+\begin{equation}\label{sdq}
+\sigma\geq \sqrt{d_{\max}^2+d_{\min}^2}.
+\end{equation}
+\end{thm}
+
+\begin{cor}
+Admitting reflection and rotation, a three-legged pig $P$ is capable of
+standing on the corners of a triangle $T$ iff (\ref{sdq}) holds.
+\end{cor}
+
+\begin{rmk}
+As two-legged pigs generally fall over, the case of a polygon of order
+$2$ is uninteresting.
+\end{rmk}
+
+\section{Custom theorem styles}
+
+\begin{exer}
+Generalize Theorem~\ref{pigspan} to three and four dimensions.
+\end{exer}
+
+\begin{note}
+This is a test of the custom theorem style `note'. It is supposed to have
+variant fonts and other differences.
+\end{note}
+
+\begin{bthm}
+Test of the `linebreak' style of theorem heading.
+\end{bthm}
+
+This is a test of a citing theorem to cite a theorem from some other source.
+
+\begin{varthm}[Theorem 3.6 in \cite{thatone}]
+No hyperlinking available here yet \dots\ but that's not a
+bad idea for the future.
+\end{varthm}
+
+\section{The proof environment}
+
+\begin{proof}
+Here is a test of the proof environment.
+\end{proof}
+
+\begin{proof}[Proof of Theorem \ref{pigspan}]
+And another test.
+\end{proof}
+
+\begin{proof}[Proof \textup(necessity\textup)]
+And another.
+\end{proof}
+
+\begin{proof}[Proof \textup(sufficiency\textup)]
+And another, ending with a display:
+\[
+1+1=2\,. \qedhere
+\]
+\end{proof}
+
+\section{Test of number-swapping}
+
+This is a repeat of the first section but with numbers in theorem heads
+swapped to the left.
+
+Ahlfors' Lemma gives the principal criterion for obtaining lower bounds
+on the Kobayashi metric.
+\begin{Ahlfors}
+Let $ds^2 = h(z)\lvert dz\rvert^2$ be a Hermitian pseudo-metric on
+$\mathbf{D}_r$, $h\in C^2(\mathbf{D}_r)$, with $\omega$ the associated
+$(1,1)$-form. If $\Ric\omega\geq\omega$ on $\mathbf{D}_r$,
+then $\omega\leq\omega_r$ on all of $\mathbf{D}_r$ (or equivalently,
+$ds^2\leq ds_r^2$).
+\end{Ahlfors}
+
+\begin{lemsw}[negatively curved families]
+Let $\{ds_1^2,\dots,ds_k^2\}$ be a negatively curved family of metrics
+on $\mathbf{D}_r$, with associated forms $\omega^1$, \dots, $\omega^k$.
+Then $\omega^i \leq\omega_r$ for all $i$.
+\end{lemsw}
+
+Then our main theorem:
+\begin{thmsw}
+Let $d_{\max}$ and $d_{\min}$ be the maximum, resp.\ minimum distance
+between any two adjacent vertices of a quadrilateral $Q$. Let $\sigma$
+be the diagonal pigspan of a pig $P$ with four legs.
+Then $P$ is capable of standing on the corners of $Q$ iff
+\begin{equation}\label{sdqsw}
+\sigma\geq \sqrt{d_{\max}^2+d_{\min}^2}.
+\end{equation}
+\end{thmsw}
+
+\begin{corsw}
+Admitting reflection and rotation, a three-legged pig $P$ is capable of
+standing on the corners of a triangle $T$ iff (\ref{sdqsw}) holds.
+\end{corsw}
+
+\begin{thebibliography}{99}
+\bibitem{thatone} Dummy entry.
+\end{thebibliography}
+
+\end{document}