#LyX 2.3 created this file. For more info see http://www.lyx.org/ \lyxformat 544 \begin_document \begin_header \save_transient_properties true \origin /systemlyxdir/examples/ \textclass amsart \use_default_options false \begin_modules theorems-ams eqs-within-sections figs-within-sections theorems-ams-extended \end_modules \maintain_unincluded_children false \language english \language_package default \inputencoding default \fontencoding global \font_roman "default" "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_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 \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 true \use_refstyle 0 \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 \papercolumns 1 \papersides 2 \paperpagestyle default \tracking_changes false \output_changes false \html_math_output 0 \html_css_as_file 0 \html_be_strict false \use_minted 0 \end_header \begin_body \begin_layout Title Test of AMS-Art 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. Also to Mate, who suggested numerous improvements. \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 Abstract This is not very abstract. Note that the abstract must be part of the title stuff for AMS. \SpecialChar LyX is aware of that since version 0.12.1. Good. \end_layout \begin_layout Section Introduction \end_layout \begin_layout Standard This file, and any amsart-* \SpecialChar LyX file, can be converted to either of the numbering schemes by simply changing the document class in the \family sans \bar under L \bar default ayout- \bar under D \bar default ocument \family default popup. The styles are: \end_layout \begin_layout Enumerate amsart - The standard AMS-article format. All results and similar statements are numbered as \begin_inset Formula $(n.m)$ \end_inset , where the first number refers to the section, and the second refers to the total number of results (Theorems, Corollaries, Propositions, Definitions and Remarks, etc.) in that section. There are also many (but not all) environments available unnumbered, which is occasionally needed. Unnumbered environments indicated by an asterisk at the end. \end_layout \begin_layout Enumerate amsart-seq - Here, numbering for each type of statement is in its own sequence, with no reference to the section number. There are also many (but not all) environments available unnumbered, which is occasionally needed. \end_layout \begin_layout Theorem This is a numbered theorem \end_layout \begin_layout Proof Here is its proof. Here is its proof. Here is its proof. Here is its proof. Here is its proof. Here is its proof. \end_layout \begin_layout Standard More text. Note that two occurrences of the same environment, like two definitions, need to be separated somehow. For the moment, the best way is to include a paragraph with a %, in the \SpecialChar LaTeX environment, if you really want two definitions (or whatever) together, with no intervening text of another sort. \end_layout \begin_layout Theorem* This is an unnumbered theorem \end_layout \begin_layout Proof Here is its proof. Here is its proof. Here is its proof. Here is its proof. Here is its proof. Here is its proof. \end_layout \begin_layout Corollary First corollary. \end_layout \begin_layout Proof Its proof. \end_layout \begin_layout Corollary* Unnumbered corollary. \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout % \end_layout \end_inset \end_layout \begin_layout Corollary* A second, with no intervening text. Note the % to force a separation. \end_layout \begin_layout Lemma Lemma number 1 \end_layout \begin_layout Proposition First proposition. \end_layout \begin_layout Proposition* Unnumbered version. \end_layout \begin_layout Conjecture A wild guess. \end_layout \begin_layout Conjecture* So wild I didn't number it. \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 Fact* Bald statement of fact. Unnumbered environments are often used for emphasis, or in a short presentation that doesn't require numbered results. \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 Definition* Unnumbered. \end_layout \begin_layout Standard Plain text. Plain text. Plain text. Plain text. Plain text. Plain text. Plain text. Plain text. Plain text. Plain text. \end_layout \begin_layout Example This should be an example. \end_layout \begin_layout Standard Plain text. Plain text. Plain text. Plain text. Plain text. Plain text. Plain text. Plain text. Plain text. Plain text. Plain text. Plain text. 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 numbered 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 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 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 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 Claim I believe this is true. \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 \end_body \end_document