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\begin_document
\begin_header
+\use_default_options false
\textclass amsbook
+\begin_modules
+theorems-ams
+theorems-ams-extended
+\end_modules
\language english
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+\output_changes false
+\author ""
\end_header
\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
-\newline
+\begin_inset Newline newline
+\end_inset
+
Lehigh University
-\newline
+\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
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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
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Primary: 12G34, Secondary: 09G87
\end_layout
\begin_layout Chapter
-
Beginning.
\end_layout
\begin_layout Section
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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_layout
\begin_layout Standard
-
This can be changed by modifying the layout file, removing the line
\family typewriter
-\newline
+\begin_inset Newline newline
+\end_inset
+
\backslash
-numberwithin{section}{chapter}
+numberwithin{section}{chapter}
\family default
+
+\begin_inset Newline newline
+\end_inset
-\newline
from the
\family typewriter
Preamble
\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
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First proposition.
\end_layout
\begin_layout Conjecture
-
A wild guess.
\end_layout
\begin_layout Criterion
-
Need some criteria
\end_layout
\begin_layout Algorithm
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first this, then the next
\end_layout
\begin_layout Fact
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Not fiction.
\end_layout
\begin_layout Axiom
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It stands to reason.
\end_layout
\begin_layout Definition
-
a word means exactly what I say it means.
\end_layout
\begin_layout Example
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This should be an example.
\end_layout
\begin_layout Standard
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Plain text.
\end_layout
\begin_layout Condition
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If you say so.
\end_layout
\begin_layout Problem
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I don't know what to write is the problem.
\end_layout
\begin_layout Remark
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I think this will be useful.
\end_layout
\begin_layout Claim
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I did it the way the documentation said to.
\end_layout
\begin_layout Note
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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
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Plain text
\end_layout
\begin_layout Chapter Exercises
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Exercise 1
\end_layout
\begin_layout Chapter Exercises
-
Exercise 2
\end_layout
\begin_layout Chapter Exercises
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These should not be italicised!
\end_layout
\begin_layout Section
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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
-\bibitem {1}
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+key "1"
+
+\end_inset
Johnson, D.
L.
\end_layout
\begin_layout Bibliography
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+
+\end_inset
American Mathematical Society,
\emph on
\end_layout
\begin_layout Bibliography
-\bibitem {3}
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+key "3"
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+\end_inset
American Mathematical Society,
\end_layout