#LyX 2.5 created this file. For more info see https://www.lyx.org/
\lyxformat 643
\begin_document
\begin_header
\save_transient_properties true
\origin /systemlyxdir/examples/Books/
\textclass amsbook
\use_default_options false
\begin_modules
theorems-ams
eqs-within-sections
figs-within-sections
theorems-ams-extended
\end_modules
\maintain_unincluded_children no
\begin_local_layout
### Inserted by lyx2lyx (ams extended theorems) ###
### This requires theorems-ams-extended module to be loaded
Style Acknowledgement
  CopyStyle             Remark
  LatexName             acknowledgement
  LabelString           "Acknowledgement \thetheorem."
  TheoremName           "acknowledgement"
  TheoremLaTeXName      "acknowledgementname"
  TheoremCounter        "thm"
  TheoremStyle          "remark"
  LangPreamble
    \providecommand{\acknowledgementname}{_(Acknowledgement)}
  EndLangPreamble
  BabelPreamble
    \addto\captions$$lang{\renewcommand{\acknowledgementname}{_(Acknowledgement)}}
  EndBabelPreamble
  DocBookTag            para
  DocBookAttr           role="acknowledgement"
  DocBookItemTag        ""
End
\end_local_layout
\language english
\language_package default
\inputencoding utf8
\fontencoding auto
\font_roman "lmodern" "default"
\font_sans "default" "default"
\font_typewriter "default" "default"
\font_math "auto" "auto"
\font_default_family default
\use_non_tex_fonts false
\font_sc false
\font_roman_osf false
\font_sans_osf false
\font_typewriter_osf false
\font_sf_scale 100 100
\font_tt_scale 100 100
\use_microtype false
\use_dash_ligatures false
\graphics default
\default_output_format default
\output_sync 0
\bibtex_command default
\index_command default
\float_placement class
\float_alignment class
\paperfontsize default
\spacing single
\use_hyperref false
\papersize default
\use_geometry false
\use_package amsmath 1
\use_package amssymb 1
\use_package cancel 1
\use_package esint 1
\use_package mathdots 1
\use_package mathtools 1
\use_package mhchem 1
\use_package stackrel 1
\use_package stmaryrd 1
\use_package undertilde 1
\cite_engine basic
\cite_engine_type default
\biblio_style plain
\use_bibtopic false
\use_indices false
\paperorientation portrait
\suppress_date false
\justification default
\crossref_package prettyref
\use_formatted_ref 0
\use_minted 0
\use_lineno 0
\backgroundcolor none
\fontcolor none
\notefontcolor lightgray
\boxbgcolor red
\table_border_color default
\table_odd_row_color default
\table_even_row_color default
\table_alt_row_colors_start 1
\index Index
\shortcut idx
\color #008000
\end_index
\secnumdepth 3
\tocdepth 3
\paragraph_separation indent
\paragraph_indentation default
\is_math_indent 0
\math_numbering_side default
\quotes_style english
\dynamic_quotes 0
\papercolumns 1
\papersides 2
\paperpagestyle default
\tablestyle default
\tracking_changes false
\output_changes false
\change_bars false
\postpone_fragile_content false
\html_math_output 0
\html_css_as_file 0
\html_be_strict false
\docbook_table_output 0
\docbook_mathml_prefix 1
\docbook_mathml_version 0
\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,
\begin_inset ERT
status collapsed

\begin_layout Plain Layout

\backslash
newline 
\end_layout

\end_inset

Lehigh University,
 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 \SpecialChar 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"
literal "true"

\end_inset

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

\begin_layout Bibliography
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "2"
literal "true"

\end_inset

American Mathematical Society,
 
\emph on
Instructions for preparation of papers and monographs:
 AMS-\SpecialChar LaTeX

\emph default
,
 (1997).
\end_layout

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

\end_inset

American Mathematical Society,
 
\end_layout

\begin_layout Standard

\end_layout

\end_body
\end_document
