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theorems-ams-extended
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\begin_body

\begin_layout Title
Test of AMS-Book Style
\end_layout

\begin_layout Author
David L.
 Johnson
\end_layout

\begin_layout Address
Department of Mathematics
\begin_inset Newline newline
\end_inset

Lehigh University
\begin_inset Newline newline
\end_inset

Bethlehem, PA 18015
\end_layout

\begin_layout Current Address
Home
\end_layout

\begin_layout Email
dlj0@lehigh.edu
\end_layout

\begin_layout URL
http://www.lehigh.edu/~dlj0/dlj0.html
\end_layout

\begin_layout Keywords
Test
\end_layout

\begin_layout Thanks
To Emmanuel, for forcing me to fix this, and Jean-Marc, for making it possible,
 and necessary.
\end_layout

\begin_layout Dedicatory
To my wife.
\end_layout

\begin_layout Translator
Joe
\end_layout

\begin_layout Subjectclass
Primary: 12G34, Secondary: 09G87
\end_layout

\begin_layout Chapter
Beginning.
\end_layout

\begin_layout Section
Introduction
\end_layout

\begin_layout Standard
This file, using the amsbook layout, numbers all results, Theorems, Definitions,
 etc., using 
\begin_inset Formula $(m.n.p)$
\end_inset

 where the 
\begin_inset Formula $m$
\end_inset

 is the chapter number, the 
\begin_inset Formula $n$
\end_inset

 is the section number, and, finally, the 
\begin_inset Formula $p$
\end_inset

 is the result number in that section.
\end_layout

\begin_layout Standard
This can be changed by modifying the layout file, removing the line 
\family typewriter

\begin_inset Newline newline
\end_inset


\backslash
numberwithin{section}{chapter}
\family default
 
\begin_inset Newline newline
\end_inset

from the 
\family typewriter
Preamble
\family default
 .
\end_layout

\begin_layout Theorem
This is a theorem
\end_layout

\begin_layout Proof
Here is its proof.
\end_layout

\begin_layout Standard
More text.
\end_layout

\begin_layout Corollary
First corollary.
\end_layout

\begin_layout Proof
Its proof.
\end_layout

\begin_layout Lemma
Lemma number 1
\end_layout

\begin_layout Proposition
First proposition.
\end_layout

\begin_layout Conjecture
A wild guess.
\end_layout

\begin_layout Criterion
Need some criteria
\end_layout

\begin_layout Algorithm
first this, then the next
\end_layout

\begin_layout Fact
Not fiction.
\end_layout

\begin_layout Axiom
It stands to reason.
\end_layout

\begin_layout Definition
a word means exactly what I say it means.
\end_layout

\begin_layout Example
This should be an example.
\end_layout

\begin_layout Standard
Plain text.
\end_layout

\begin_layout Condition
If you say so.
\end_layout

\begin_layout Problem
I don't know what to write is the problem.
\end_layout

\begin_layout Remark
I think this will be useful.
\end_layout

\begin_layout Claim
I did it the way the documentation said to.
\end_layout

\begin_layout Note
It may need more work yet.
\end_layout

\begin_layout Standard
More plain text, in standard format.
\end_layout

\begin_layout Theorem
This is a second theorem
\end_layout

\begin_layout Proof
Here is its proof.
\end_layout

\begin_layout Standard
More text.
\end_layout

\begin_layout Corollary
Second corollary.
\end_layout

\begin_layout Proof
Its proof.
\end_layout

\begin_layout Lemma
Lemma number 2
\end_layout

\begin_layout Proposition
Second proposition.
\end_layout

\begin_layout Conjecture
A wild guess.
\end_layout

\begin_layout Criterion
Need some criteria
\end_layout

\begin_layout Notation
\begin_inset Formula $S=\mathbb{R}$
\end_inset

.
\end_layout

\begin_layout Summary
In the end, will it matter?
\end_layout

\begin_layout Acknowledgement
Thanks to Mattias Ettrich.
 Without him I never would have learned LaTeX.
\end_layout

\begin_layout Case
If this works, then the rest will.
\end_layout

\begin_layout Conclusion
It seems to work.
\end_layout

\begin_layout Proof
Here goes another proof.
\end_layout

\begin_layout Standard
Plain text
\end_layout

\begin_layout Chapter Exercises
Exercise 1
\end_layout

\begin_layout Chapter Exercises
Exercise 2
\end_layout

\begin_layout Chapter Exercises
These should not be italicised!
\end_layout

\begin_layout Section
Next try.
\end_layout

\begin_layout Standard
This tries out the section environments.
\end_layout

\begin_layout Theorem
This is a theorem
\end_layout

\begin_layout Proof
Here is its proof.
\end_layout

\begin_layout Standard
More text.
\end_layout

\begin_layout Corollary
Third corollary.
 First one of this section.
\end_layout

\begin_layout Proof
Its proof.
\end_layout

\begin_layout Lemma
Lemma number 3
\end_layout

\begin_layout Proposition
Third proposition.
\end_layout

\begin_layout Conjecture
A wild guess.
\end_layout

\begin_layout Criterion
Need some criteria
\end_layout

\begin_layout Subsection
This is a subsection
\end_layout

\begin_layout Standard
With more results therein.
\end_layout

\begin_layout Theorem
This is a theorem, maybe the fourth one.
\end_layout

\begin_layout Proof
Here is its proof.
\end_layout

\begin_layout Standard
More text.
\end_layout

\begin_layout Chapter
Next one.
\end_layout

\begin_layout Section
Next Section
\end_layout

\begin_layout Corollary
Fourth corollary.
\end_layout

\begin_layout Proof
Its proof.
\end_layout

\begin_layout Lemma
Lemma number 4
\end_layout

\begin_layout Proposition
Fourth proposition.
\end_layout

\begin_layout Conjecture
A wild guess.
\end_layout

\begin_layout Criterion
Need some criteria
\end_layout

\begin_layout Standard
More random text.
\end_layout

\begin_layout Section
Another section
\end_layout

\begin_layout Theorem
This is a theorem
\end_layout

\begin_layout Proof
Here is its proof.
\end_layout

\begin_layout Standard
More text.
\end_layout

\begin_layout Corollary
Fifth corollary.
\end_layout

\begin_layout Proof
Its proof.
\end_layout

\begin_layout Lemma
Lemma number 5
\end_layout

\begin_layout Proposition
Fifth proposition.
\end_layout

\begin_layout Conjecture
A wild guess.
\end_layout

\begin_layout Criterion
Need some criteria
\end_layout

\begin_layout Subsubsection
This is the subsection with results.
\end_layout

\begin_layout Standard
The quick, brown fox jumped over the lazy dog.
\end_layout

\begin_layout Theorem
This is a theorem - sixth in the series
\end_layout

\begin_layout Proof
Here is its proof.
\end_layout

\begin_layout Standard
More text.
\end_layout

\begin_layout Corollary
Sixth corollary.
\end_layout

\begin_layout Proof
Its proof.
\end_layout

\begin_layout Lemma
Lemma number 6
\end_layout

\begin_layout Proposition
Sixth proposition.
\end_layout

\begin_layout Conjecture
A wild guess.
\end_layout

\begin_layout Criterion
Need some criteria
\end_layout

\begin_layout Bibliography
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "1"

\end_inset

Johnson, D.
 L.
 
\emph on
Out of my head
\end_layout

\begin_layout Bibliography
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LatexCommand bibitem
key "2"

\end_inset

American Mathematical Society, 
\emph on
Instructions for preparation of papers and monographs: AMS-LaTeX
\emph default
, (1997).
\end_layout

\begin_layout Bibliography
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "3"

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American Mathematical Society, 
\end_layout

\begin_layout Standard

\end_layout

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