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1269 lines
16 KiB
Plaintext
1269 lines
16 KiB
Plaintext
#LyX 1.6svn created this file. For more info see http://www.lyx.org/
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\lyxformat 318
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\begin_document
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\begin_header
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\textclass amsart
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\begin_modules
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theorems-ams
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\end_modules
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\language english
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\color #fa8a00
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\end_branch
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\branch Branch2
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\color #00fabc
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\end_branch
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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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\author ""
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\author ""
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\extra_embedded_files ""
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\end_header
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\begin_body
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\begin_layout Title
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Macro Scopes
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\end_layout
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\begin_layout Section
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Simple
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\end_layout
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\begin_layout Standard
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\begin_inset Formula \[
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\backslash foo\mbox{ should be }\backslash foo\]
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\end_inset
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\end_layout
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\begin_layout Standard
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\family roman
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\color none
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\begin_inset FormulaMacro
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\newcommand{\foo}{A}
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\end_inset
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\end_layout
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\begin_layout Standard
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\begin_inset Formula \[
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\foo\mbox{ should be }A\]
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\end_inset
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\end_layout
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\begin_layout Section
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Redefinition
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\end_layout
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\begin_layout Standard
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\family roman
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\renewcommand{\foo}{B}
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\series default
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\shape default
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\emph default
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\bar default
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\noun default
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\color inherit
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\begin_inset Formula \[
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B\mbox{ should be }B\]
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\end_inset
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\end_layout
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\begin_layout Section
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In Paragraph Redefinition
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\end_layout
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\begin_layout Standard
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\family roman
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\series medium
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\shape up
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\size normal
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\bar no
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\noun default
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\color inherit
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\begin_inset Formula $\foo\mbox{ should be }C$
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\end_inset
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\family roman
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\series medium
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\shape up
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\size normal
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\color none
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\begin_inset FormulaMacro
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\renewcommand{\foo}{D}
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\end_inset
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\family default
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\series default
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\shape default
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\emph default
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\bar default
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\noun default
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\color inherit
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\begin_inset Formula $\foo\mbox{ should be }D$
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\end_inset
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\end_layout
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\begin_layout Section
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Environment
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\end_layout
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\begin_layout Standard
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\begin_inset Note Note
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status open
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\begin_layout PlainLayout
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\begin_inset Formula $\foo\mbox{ should be }D$
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\end_inset
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\end_layout
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\begin_layout Section
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Environment local Definitions
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\end_layout
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\begin_layout PlainLayout
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\family roman
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\series medium
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\shape up
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\size normal
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\emph off
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\bar no
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\noun off
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\color none
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\begin_inset FormulaMacro
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\renewcommand{\foo}{E}
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\end_inset
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\family default
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\series default
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\shape default
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\size default
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\emph default
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\bar default
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\noun default
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\color inherit
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\begin_inset Formula $\foo\mbox{ should be }E$
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\end_inset
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\family roman
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\series medium
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\shape up
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\size normal
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\emph off
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\bar no
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\noun off
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\color none
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\begin_inset FormulaMacro
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\renewcommand{\foo}{F}
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\end_inset
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\family default
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\series default
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\shape default
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\size default
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\emph default
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\bar default
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\noun default
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\color inherit
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\begin_inset Formula $\foo\mbox{ should be }F$
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\end_inset
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\end_layout
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\end_inset
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\begin_inset Formula $\foo\mbox{ should be }D$
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\end_inset
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.
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\end_layout
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\begin_layout Section
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Definitions in Paragraph Style Environments
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\end_layout
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\begin_layout Abstract
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\family roman
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\series medium
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\shape up
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\size normal
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\emph off
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\bar no
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\noun off
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\color none
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\begin_inset FormulaMacro
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\renewcommand{\foo}{G}
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\end_inset
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\family default
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\series default
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\shape default
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\size default
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\emph default
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\bar default
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\noun default
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\color inherit
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\begin_inset Formula $\foo\mbox{ should be }G$
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\end_inset
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\end_layout
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\begin_layout Standard
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\begin_inset Formula $\foo\mbox{ should be }G$
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\end_inset
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.
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\end_layout
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\begin_layout Itemize
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\family roman
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\series medium
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\shape up
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\size normal
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\emph off
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\bar no
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\noun off
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\color none
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\begin_inset FormulaMacro
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\renewcommand{\foo}{H}
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\end_inset
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\family default
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\series default
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\shape default
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\size default
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\emph default
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\bar default
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\noun default
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\color inherit
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\begin_inset Formula $\foo\mbox{ should be }H$
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\end_inset
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\end_layout
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\begin_layout Itemize
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\begin_inset Formula $H\mbox{ should be }H$
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\end_inset
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\family roman
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\series medium
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\shape up
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\size normal
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\emph off
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\bar no
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\noun off
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\color none
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\begin_inset FormulaMacro
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\renewcommand{\foo}{H2}
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\end_inset
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\family default
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\series default
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\shape default
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\size default
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\emph default
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\bar default
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\noun default
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\color inherit
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\begin_inset Formula $\foo\mbox{ should be }H2$
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\end_inset
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\end_layout
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\begin_layout Standard
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\begin_inset Formula $\foo\mbox{ should be }H2$
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\end_inset
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\end_layout
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\begin_layout Section
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Theorem and Proofs
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\end_layout
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\begin_layout Theorem
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\begin_inset Formula $1=0$
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\end_inset
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\family roman
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\series medium
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\shape up
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\size normal
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\emph off
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\bar no
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\noun off
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\color none
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\begin_inset FormulaMacro
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\renewcommand{\foo}{I}
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\end_inset
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\family default
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\series default
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\shape default
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\size default
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\emph default
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\bar default
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\noun default
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\color inherit
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\begin_inset Formula $\foo\mbox{ should be }I$
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\end_inset
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\end_layout
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\begin_layout Proof
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Because
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\begin_inset Formula $2=1$
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\end_inset
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.
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\begin_inset Formula $\foo\mbox{ should be }I$
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\end_inset
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\family roman
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|
\series medium
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|
\shape up
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|
\size normal
|
|
\emph off
|
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\bar no
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|
\noun off
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\color none
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|
\begin_inset FormulaMacro
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\renewcommand{\foo}{J}
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\end_inset
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\family default
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\series default
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\shape default
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\size default
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\emph default
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\bar default
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\noun default
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\color inherit
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\begin_inset Formula $\foo\mbox{ should be }J$
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\end_inset
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.
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\family roman
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\series medium
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\shape up
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\size normal
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\emph off
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\bar no
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\noun off
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|
\color none
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|
\begin_inset FormulaMacro
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\renewcommand{\foo}{K}
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\end_inset
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\family default
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\series default
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\shape default
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\size default
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\emph default
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\bar default
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\noun default
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\color inherit
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\begin_inset Formula $\foo\mbox{ should be }K$
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\end_inset
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\end_layout
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\begin_layout Proof
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Blub
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\begin_inset Formula $\foo\mbox{ should be }K$
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\end_inset
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.
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\end_layout
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\begin_layout Standard
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\begin_inset Formula $\foo\mbox{ should be }K$
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\end_inset
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.
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\end_layout
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\begin_layout Section
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Tables
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\end_layout
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\begin_layout Standard
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\begin_inset Tabular
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<lyxtabular version="3" rows="2" columns="2">
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<features>
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<column alignment="center" valignment="top" leftline="true" width="0">
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<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
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<row topline="true" bottomline="true">
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout PlainLayout
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\begin_inset Formula $\foo\mbox{ should be }K$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout PlainLayout
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bla
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\end_layout
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\end_inset
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</cell>
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</row>
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<row topline="true" bottomline="true">
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout PlainLayout
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\family roman
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\series medium
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\shape up
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\size normal
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\emph off
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\bar no
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\noun off
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\color none
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\begin_inset FormulaMacro
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\renewcommand{\foo}{L}
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\end_inset
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\family default
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\series default
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\shape default
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\size default
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\emph default
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\bar default
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\noun default
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\color inherit
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\begin_inset Formula $L\mbox{ should be }L$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout PlainLayout
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\end_layout
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\end_inset
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</cell>
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</row>
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</lyxtabular>
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\end_inset
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\end_layout
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\begin_layout Section
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Depth and nested Paragraphs
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\end_layout
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|
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\begin_layout Definition
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Let
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\begin_inset Formula $x$
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\end_inset
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be
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\begin_inset Formula $1$
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\end_inset
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.
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\family roman
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\series medium
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\shape up
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\size normal
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\emph off
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\bar no
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|
\noun off
|
|
\color none
|
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|
|
\begin_inset FormulaMacro
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\renewcommand{\foo}{M}
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\end_inset
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\family default
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\series default
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\shape default
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\size default
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\emph default
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\bar default
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\noun default
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\color inherit
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|
\begin_inset Formula $\foo\mbox{ should be }M$
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\end_inset
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\end_layout
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\begin_deeper
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\begin_layout Standard
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\begin_inset Formula $\foo\mbox{ should be }M$
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\end_inset
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\family roman
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\series medium
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\shape up
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|
\size normal
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|
\emph off
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\bar no
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|
\noun off
|
|
\color none
|
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|
|
\begin_inset FormulaMacro
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|
\renewcommand{\foo}{N}
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\end_inset
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\family default
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\series default
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\shape default
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\size default
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\emph default
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\bar default
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\noun default
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\color inherit
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\begin_inset Formula $\foo\mbox{ should be }N$
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\end_inset
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\end_layout
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\end_deeper
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\begin_layout Definition
|
|
And furthermore let
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\begin_inset Formula $y$
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\end_inset
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be
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\begin_inset Formula $2$
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\end_inset
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.
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|
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\begin_inset Formula $\foo\mbox{ should be }N$
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\end_inset
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|
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\family roman
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|
\series medium
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|
\shape up
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|
\size normal
|
|
\emph off
|
|
\bar no
|
|
\noun off
|
|
\color none
|
|
|
|
\begin_inset FormulaMacro
|
|
\renewcommand{\foo}{O}
|
|
\end_inset
|
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|
|
|
|
\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
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|
|
|
|
|
\end_layout
|
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|
|
\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
|
|
status open
|
|
|
|
\begin_layout PlainLayout
|
|
|
|
\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
|
|
status open
|
|
|
|
\begin_layout PlainLayout
|
|
|
|
\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 PlainLayout
|
|
|
|
\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 PlainLayout
|
|
note inset
|
|
\end_layout
|
|
|
|
\end_inset
|
|
|
|
in between.
|
|
\end_layout
|
|
|
|
\begin_layout Section
|
|
InsetTexts
|
|
\end_layout
|
|
|
|
\begin_layout Standard
|
|
Float:
|
|
\begin_inset Float figure
|
|
wide false
|
|
sideways false
|
|
status open
|
|
|
|
\begin_layout PlainLayout
|
|
|
|
\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 PlainLayout
|
|
\begin_inset Caption
|
|
|
|
\begin_layout PlainLayout
|
|
|
|
\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 PlainLayout
|
|
|
|
\end_layout
|
|
|
|
\end_inset
|
|
|
|
|
|
\begin_inset Formula $\foo\mbox{ should be }V$
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\begin_layout Standard
|
|
LyX-Note:
|
|
\begin_inset Note Note
|
|
status open
|
|
|
|
\begin_layout PlainLayout
|
|
|
|
\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 PlainLayout
|
|
|
|
\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 PlainLayout
|
|
|
|
\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
|