#LyX 2.4 created this file. For more info see https://www.lyx.org/ \lyxformat 572 \begin_document \begin_header \save_transient_properties true \origin unavailable \textclass amsart \use_default_options false \begin_modules theorems-ams eqs-within-sections figs-within-sections \end_modules \maintain_unincluded_children false \language english \language_package default \inputencoding auto \fontencoding auto \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 true \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 0 \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 \use_minted 0 \branch Branch1 \selected 1 \filename_suffix 0 \color #fa8a00 \end_branch \branch Branch2 \selected 0 \filename_suffix 0 \color #00fabc \end_branch \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 1 \paperpagestyle default \tablestyle default \tracking_changes false \output_changes false \html_math_output 0 \html_css_as_file 0 \html_be_strict false \end_header \begin_body \begin_layout Title Macro Scopes \end_layout \begin_layout Section Simple \end_layout \begin_layout Standard \begin_inset Formula \[ \backslash foo\mbox{ should be }\backslash foo \] \end_inset \end_layout \begin_layout Standard \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \newcommand{\foo}{A} \end_inset \end_layout \begin_layout Standard \begin_inset Formula \[ \foo\mbox{ should be }A \] \end_inset \end_layout \begin_layout Section Redefinition \end_layout \begin_layout Standard \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{B} \end_inset \family default \series default \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula \[ B\mbox{ should be }B \] \end_inset \end_layout \begin_layout Section In Paragraph Redefinition \end_layout \begin_layout Standard \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{C} \end_inset \family default \series default \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula $\foo\mbox{ should be }C$ \end_inset \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{D} \end_inset \family default \series default \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula $\foo\mbox{ should be }D$ \end_inset \end_layout \begin_layout Section Environment \end_layout \begin_layout Standard \begin_inset Note Note status open \begin_layout Plain Layout \begin_inset Formula $\foo\mbox{ should be }D$ \end_inset \end_layout \begin_layout Section Environment local Definitions \end_layout \begin_layout Plain Layout \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{E} \end_inset \family default \series default \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula $\foo\mbox{ should be }E$ \end_inset \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{F} \end_inset \family default \series default \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula $\foo\mbox{ should be }F$ \end_inset \end_layout \end_inset \begin_inset Formula $\foo\mbox{ should be }D$ \end_inset . \end_layout \begin_layout Section Definitions in Paragraph Style Environments \end_layout \begin_layout Abstract \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{G} \end_inset \family default \series default \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula $\foo\mbox{ should be }G$ \end_inset \end_layout \begin_layout Standard \begin_inset Formula $\foo\mbox{ should be }G$ \end_inset . \end_layout \begin_layout Itemize \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{H} \end_inset \family default \series default \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula $\foo\mbox{ should be }H$ \end_inset \end_layout \begin_layout Itemize \begin_inset Formula $H\mbox{ should be }H$ \end_inset \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{H2} \end_inset \family default \series default \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula $\foo\mbox{ should be }H2$ \end_inset \end_layout \begin_layout Standard \begin_inset Formula $\foo\mbox{ should be }H2$ \end_inset \end_layout \begin_layout Section Theorem and Proofs \end_layout \begin_layout Theorem \begin_inset Formula $1=0$ \end_inset \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{I} \end_inset \family default \series default \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula $\foo\mbox{ should be }I$ \end_inset \end_layout \begin_layout Proof Because \begin_inset Formula $2=1$ \end_inset . \begin_inset Formula $\foo\mbox{ should be }I$ \end_inset \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{J} \end_inset \family default \series default \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula $\foo\mbox{ should be }J$ \end_inset . \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{K} \end_inset \family default \series default \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula $\foo\mbox{ should be }K$ \end_inset \end_layout \begin_layout Proof Blub \begin_inset Formula $\foo\mbox{ should be }K$ \end_inset . \end_layout \begin_layout Standard \begin_inset Formula $\foo\mbox{ should be }K$ \end_inset . \end_layout \begin_layout Section Tables \end_layout \begin_layout Standard \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\foo\mbox{ should be }K$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout bla \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{L} \end_inset \family default \series default \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula $L\mbox{ should be }L$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \end_layout \end_inset \end_inset \end_layout \begin_layout Section Depth and nested Paragraphs \end_layout \begin_layout Definition Let \begin_inset Formula $x$ \end_inset be \begin_inset Formula $1$ \end_inset . \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{M} \end_inset \family default \series default \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula $\foo\mbox{ should be }M$ \end_inset \begin_inset Separator latexpar \end_inset \end_layout \begin_deeper \begin_layout Standard \begin_inset Formula $\foo\mbox{ should be }M$ \end_inset \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{N} \end_inset \family default \series default \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula $\foo\mbox{ should be }N$ \end_inset \end_layout \end_deeper \begin_layout Definition And furthermore let \begin_inset Formula $y$ \end_inset be \begin_inset Formula $2$ \end_inset . \begin_inset Formula $\foo\mbox{ should be }N$ \end_inset \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{O} \end_inset \family default \series default \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula $\foo\mbox{ should be }O$ \end_inset \begin_inset Separator latexpar \end_inset \end_layout \begin_deeper \begin_layout Itemize Let \begin_inset Formula $z$ \end_inset be \begin_inset Formula $3$ \end_inset . \begin_inset Formula $\foo\mbox{ should be }O$ \end_inset \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{P} \end_inset \family default \series default \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula $\foo\mbox{ should be }P$ \end_inset \end_layout \end_deeper \begin_layout Definition Still definition: \begin_inset Formula $\foo\mbox{ should be }P$ \end_inset . \end_layout \begin_layout Standard And outside the definition: \begin_inset Formula $\foo\mbox{ should be }P$ \end_inset . \end_layout \begin_layout Section Branch \end_layout \begin_layout Standard \begin_inset Branch Branch1 inverted 0 status open \begin_layout Standard \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{Q} \end_inset \family default \series default \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula $\foo\mbox{ should be }Q$ \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Formula $\foo\mbox{ should be }Q\mbox{ if Branch1 is selected}$ \end_inset \end_layout \begin_layout Standard \begin_inset Branch Branch2 inverted 0 status open \begin_layout Standard \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{R} \end_inset \family default \series default \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula $\foo\mbox{ should be }R$ \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Formula $\foo\mbox{ should be }Q\mbox{ if Branch2 is deselected}$ \end_inset \end_layout \begin_layout Section Macros in non-environment blocks \end_layout \begin_layout Standard \series bold Some bold font block: \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{R} \end_inset \family default \series bold \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula $\foo\mbox{ should be }R$ \end_inset \end_layout \begin_layout Standard Now normal again: \begin_inset Formula $\foo\mbox{ should be }R$ \end_inset \end_layout \begin_layout Standard \series bold Some bold font block where the macro itself is not bold: \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{S} \end_inset \family default \series bold \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula $\foo\mbox{ should be }S$ \end_inset \end_layout \begin_layout Standard Now normal again: \begin_inset Formula $\foo\mbox{ should be }S$ \end_inset \end_layout \begin_layout Standard Some \series bold bold font block not starting at the paragraph start: \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{T} \end_inset \family default \series bold \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula $\foo\mbox{ should be }T$ \end_inset Some tail text. \end_layout \begin_layout Standard Some \series bold bold font block not starting at the paragraph start: \begin_inset Formula $\foo\mbox{ should be }T$ \end_inset . Some tail text. \end_layout \begin_layout Standard Some \series bold bold font block with an \begin_inset Note Comment status open \begin_layout Plain Layout \series bold note \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{U} \end_inset \family default \series bold \shape default \size default \emph default \bar default \noun default \color inherit inset \end_layout \end_inset in between. \end_layout \begin_layout Standard Some \series bold bold font block with an \begin_inset Note Comment status open \begin_layout Plain Layout note inset \end_layout \end_inset in between. \end_layout \begin_layout Section InsetTexts \end_layout \begin_layout Standard Float: \begin_inset Float figure placement document alignment document wide false sideways false status open \begin_layout Plain Layout \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{V} \end_inset \begin_inset Formula $\foo\mbox{ should be }V$ \end_inset \end_layout \begin_layout Plain Layout \begin_inset Caption Standard \begin_layout Plain Layout \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset Formula $\foo\mbox{ should be }V$ \end_inset \end_layout \end_inset \end_layout \begin_layout Plain Layout \end_layout \end_inset \begin_inset Formula $\foo\mbox{ should be }V$ \end_inset \end_layout \begin_layout Standard \SpecialChar LyX -Note: \begin_inset Note Note status open \begin_layout Plain Layout \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{X} \end_inset \family default \series default \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula $\foo\mbox{ should be }X$ \end_inset \end_layout \end_inset \begin_inset Formula $\foo\mbox{ should be }V$ \end_inset \end_layout \begin_layout Standard Comment: \begin_inset Note Comment status open \begin_layout Plain Layout \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{Y} \end_inset \family default \series default \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula $\foo\mbox{ should be }Y$ \end_inset \end_layout \end_inset \begin_inset Formula $\foo\mbox{ should be }Y$ \end_inset \end_layout \begin_layout Standard Greyed out: \begin_inset Note Greyedout status open \begin_layout Plain Layout \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none \begin_inset FormulaMacro \renewcommand{\foo}{Z} \end_inset \family default \series default \shape default \size default \emph default \bar default \noun default \color inherit \begin_inset Formula $\foo\mbox{ should be }Z$ \end_inset \end_layout \end_inset \begin_inset Formula $\foo\mbox{ should be }Z$ \end_inset \end_layout \end_body \end_document