1999-12-07 00:44:53 +00:00
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#This file was created by <larsbj> Sun Dec 5 17:48:49 1999
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#LyX 1.0 (C) 1995-1999 Matthias Ettrich and the LyX Team
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1999-09-27 18:44:28 +00:00
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\lyxformat 2.15
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\textclass amsart
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2000-11-03 11:21:37 +00:00
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\language english
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1999-09-27 18:44:28 +00:00
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\inputencoding default
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\fontscheme default
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\graphics default
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\paperfontsize default
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\spacing single
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\papersize Default
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\paperpackage a4
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\use_geometry 0
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\use_amsmath 0
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\paperorientation portrait
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\secnumdepth 3
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\tocdepth 3
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\paragraph_separation indent
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\defskip medskip
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\quotes_language english
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\quotes_times 2
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\papercolumns 1
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\papersides 2
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\paperpagestyle default
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\layout Title
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Test of AMS-Art Style
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\layout Author
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David L.
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Johnson
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\layout Address
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Department of Mathematics
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\newline
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Lehigh University
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\newline
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Bethlehem, PA 18015
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\layout Current Address
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Home
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\layout Email
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dlj0@lehigh.edu
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\layout URL
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http://www.lehigh.edu/~dlj0/dlj0.html
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\layout Keywords
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Test
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\layout Thanks
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To Emmanuel, for forcing me to fix this, and Jean-Marc, for making it possible,
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and necessary.
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Also to Mate, who suggested numerous improvements.
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\layout Dedicatory
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To my wife.
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\layout Translator
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Joe
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\layout Subjectclass
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Primary: 12G34, Secondary: 09G87
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\layout Abstract
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This is not very abstract.
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Note that the abstract must be part of the title stuff for AMS.
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LyX is aware of that since version 0.12.1.
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Good.
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\layout Section
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Introduction
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\layout Standard
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This file, and any amsart-* LyX file, can be converted to either of the
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numbering schemes by simply changing the document class in the
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\family sans
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\bar under
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L
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\bar default
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ayout-
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\bar under
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D
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\bar default
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ocument
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\family default
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popup.
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The styles are:
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\layout Enumerate
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amsart - The standard AMS-article format.
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All results and similar statements are numbered as
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\begin_inset Formula \( (n.m) \)
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\end_inset
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, where the first number refers to the section, and the second refers to
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the total number of results (Theorems, Corollaries, Propositions, Definitions
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and Remarks, etc.) in that section.
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There are also many (but not all) environments available unnumbered, which
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is occasionally needed.
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Unnumbered environments indicated by an asterisk at the end.
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\layout Enumerate
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amsart-seq - Here, numbering for each type of statement is in its own sequence,
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with no reference to the section number.
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There are also many (but not all) environments available unnumbered, which
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is occasionally needed.
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\layout Theorem
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This is a numbered theorem
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\layout Proof
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Here is its proof.
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Here is its proof.
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Here is its proof.
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Here is its proof.
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Here is its proof.
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Here is its proof.
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\layout Standard
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More text.
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Note that two occurrences of the same environment, like two definitions,
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need to be separated somehow.
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For the moment, the best way is to include a paragraph with a %, in the
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LaTeX environment, if you really want two definitions (or whatever) together,
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with no intervening text of another sort.
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\layout Theorem*
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This is an unnumbered theorem
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\layout Proof
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Here is its proof.
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Here is its proof.
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Here is its proof.
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Here is its proof.
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Here is its proof.
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Here is its proof.
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\layout Corollary
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First corollary.
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\layout Proof
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Its proof.
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\layout Corollary*
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Unnumbered corollary.
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\layout LaTeX
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%
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\layout Corollary*
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A second, with no intervening text.
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Note the % to force a separation.
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\layout Lemma
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Lemma number 1
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\layout Proposition
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First proposition.
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\layout Proposition*
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Unnumbered version.
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\layout Conjecture
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A wild guess.
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\layout Conjecture*
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So wild I didn't number it.
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\layout Criterion
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Need some criteria
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\layout Algorithm
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first this, then the next
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\layout Fact
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Not fiction.
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\layout Fact*
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Bald statement of fact.
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Unnumbered environments are often used for emphasis, or in a short presentation
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that doesn't require numbered results.
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\layout Axiom
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It stands to reason.
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\layout Definition
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a word means exactly what I say it means.
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\layout Definition*
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Unnumbered.
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\layout Standard
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Plain text.
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Plain text.
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Plain text.
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Plain text.
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Plain text.
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Plain text.
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Plain text.
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Plain text.
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Plain text.
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Plain text.
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\layout Example
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This should be an example.
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\layout Standard
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Plain text.
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Plain text.
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Plain text.
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Plain text.
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Plain text.
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Plain text.
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Plain text.
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Plain text.
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Plain text.
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Plain text.
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Plain text.
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Plain text.
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Plain text.
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\layout Condition
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If you say so.
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\layout Problem
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I don't know what to write is the problem.
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\layout Remark
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I think this will be useful.
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\layout Claim
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I did it the way the documentation said to.
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\layout Note
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It may need more work yet.
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\layout Standard
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More plain text, in standard format.
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\layout Theorem
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This is a second numbered theorem
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\layout Proof
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Here is its proof.
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\layout Standard
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More text.
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\layout Corollary
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Second corollary.
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\layout Proof
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Its proof.
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\layout Lemma
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Lemma number 2
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\layout Proposition
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Second proposition.
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\layout Conjecture
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A wild guess.
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\layout Criterion
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Need some criteria
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\layout Notation
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\begin_inset Formula \( S=\mathbb {R} \)
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\end_inset
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.
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\layout Summary
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In the end, will it matter?
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\layout Acknowledgement
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Thanks to Mattias Ettrich.
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Without him I never would have learned LaTeX.
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\layout Case
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If this works, then the rest will.
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\layout Conclusion
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It seems to work.
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\layout Proof
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Here goes another proof.
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\layout Standard
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Plain text.
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\layout Section
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Next try.
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\layout Standard
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This tries out the section environments.
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\layout Theorem
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This is a theorem
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\layout Proof
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Here is its proof.
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\layout Standard
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More text.
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\layout Corollary
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Third corollary.
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First one of this section.
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\layout Proof
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Its proof.
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\layout Lemma
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Lemma number 3
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\layout Proposition
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Third proposition.
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\layout Conjecture
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A wild guess.
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\layout Criterion
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Need some criteria
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\layout Subsection
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This is a subsection
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\layout Standard
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With more results therein.
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\layout Theorem
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This is a theorem, maybe the fourth one.
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\layout Proof
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Here is its proof.
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\layout Standard
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More text.
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\layout Corollary
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Fourth corollary.
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\layout Proof
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Its proof.
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\layout Lemma
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Lemma number 4
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\layout Proposition
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Fourth proposition.
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\layout Conjecture
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A wild guess.
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\layout Criterion
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Need some criteria
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\layout Standard
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More random text.
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\layout Theorem
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This is a theorem
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\layout Proof
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Here is its proof.
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\layout Standard
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More text.
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\layout Claim
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I believe this is true.
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\layout Proof
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Its proof.
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\layout Lemma
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Lemma number 5
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\layout Proposition
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Fifth proposition.
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\layout Conjecture
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A wild guess.
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\layout Criterion
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Need some criteria
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\layout Subsubsection
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This is the subsection with results.
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\layout Standard
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The quick, brown fox jumped over the lazy dog.
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\layout Theorem
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This is a theorem - sixth in the series
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\layout Proof
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Here is its proof.
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\layout Standard
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More text.
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\layout Corollary
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Sixth corollary.
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\layout Proof
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Its proof.
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\layout Lemma
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Lemma number 6
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\layout Proposition
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Sixth proposition.
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\layout Conjecture
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A wild guess.
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\layout Criterion
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Need some criteria
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\layout Bibliography
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\bibitem {1}
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Johnson, D.
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L.
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\emph on
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Out of my head
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\layout Bibliography
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\bibitem {2}
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American Mathematical Society,
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\emph on
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Instructions for preparation of papers and monographs: AMS-LaTeX
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\emph default
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, (1997).
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\layout Bibliography
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\bibitem {3}
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American Mathematical Society,
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\layout Standard
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\the_end
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