mh

git-svn-id: svn://tug.org/texlive/trunk@1090 c570f23f-e606-0410-a88d-b1316a301751

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diff --git a/Master/texmf-dist/tex/latex/mh/empheq.sty b/Master/texmf-dist/tex/latex/mh/empheq.sty
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@@ -0,0 +1,985 @@
+%%
+%% This is file `empheq.sty',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% empheq.dtx  (with options: `empheq')
+%% 
+%% It may be distributed and/or modified under the
+%% conditions of the LaTeX Project Public License, either version 1.3
+%% of this license or (at your option) any later version.
+%% The latest version of this license is in
+%%   http://www.latex-project.org/lppl.txt
+%% and version 1.3 or later is part of all distributions of LaTeX
+%% version 2003/12/01 or later.
+%% 
+%% This work has the LPPL maintenance status "maintained".
+%% 
+%% The Current Maintainer of this work is Morten H\o gholm.
+%% 
+%% This work consists of the files empheq.dtx and empheq.ins and the
+%% derived files empheq.sty and ntheorem.fix
+%% 
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{empheq}
+  [2004/10/10 v2.11a
+  Emphasizing equations (MH)
+  ]
+\RequirePackage{mhsetup}[2004/10/10]
+\MHInternalSyntaxOn
+\MH_new_boolean:n {overload_ams}
+\DeclareOption{overload}{
+  \MH_set_boolean_T:n {overload_ams}
+}
+\MH_new_boolean:n {overload_amsII}
+\DeclareOption{overload2}{
+  \MH_set_boolean_T:n {overload_ams}
+  \MH_set_boolean_T:n {overload_amsII}
+}
+\MH_new_boolean:n {good_mult}
+\DeclareOption{oldmultline}{\MH_set_boolean_F:n {good_mult}}
+\DeclareOption{newmultline}{\MH_set_boolean_T:n {good_mult}}
+\DeclareOption{ntheorem}{\AtEndOfPackage{\input{ntheorem.fix}}}
+\DeclareOption*{
+  \PassOptionsToPackage{\CurrentOption}{mathtools}
+}
+\ExecuteOptions{newmultline}
+\ProcessOptions\relax
+\MHInternalSyntaxOff
+\RequirePackage{mathtools}[2004/10/10]
+\MHInternalSyntaxOn
+\AtEndOfPackage{\MHInternalSyntaxOff}
+\newcount\l_EQ_equationtype_int
+\newcount\l_EQ_alignmentmode_int
+\if@fleqn
+  \iftagsleft@
+    \l_EQ_alignmentmode_int=4
+  \else:
+    \l_EQ_alignmentmode_int=\thr@@
+  \fi:
+\else:
+  \iftagsleft@
+    \l_EQ_alignmentmode_int=\tw@
+  \else:
+    \l_EQ_alignmentmode_int=\@ne
+  \fi:
+\fi:
+\newdimen\l_EQ_totalwidth_dim
+\newdimen\l_EQ_displaywidth_dim
+\def\EmphEqdisplaywidth{\l_EQ_displaywidth_dim}
+\newdimen\l_EQ_temp_linewidth_dim
+\newdimen\EmphEqdelimitershortfall
+\newcount\EmphEqdelimiterfactor
+\EmphEqdelimiterfactor950
+\EmphEqdelimitershortfall\p@
+\newdimen\g_EQ_toptag_height_dim
+\newdimen\g_EQ_bottomtag_depth_dim
+\newdimen\g_EQ_toprow_height_dim
+\newdimen\g_EQ_bottomrow_depth_dim
+\newdimen\g_EQ_widesttag_dim
+\def\EmphEqtagwidth{\g_EQ_widesttag_dim}
+\def\EQ_outerbox:{}
+\def\EQ_innerbox:{}
+\def\EQ_left_side:{}
+\def\EQ_right_side:{}
+\newsavebox\EQ_mathdisplay_box
+\def\EmphEqdisplayheight{\ht\EQ_mathdisplay_box}
+\def\EmphEqdisplaydepth{\dp\EQ_mathdisplay_box}
+\newsavebox\EQ_tag_box
+\def\EQ_complete_mathdisplay:{}
+\def\EQ_getbody:n #1{%
+  \def\EQ_complete_mathdisplay:{}\def\EQ_mathbody:{#1}}
+\newenvironment{EmphEqMainEnv}{\collect@body\EQ_getbody:n}{%
+  \if_num:w \l_EQ_equationtype_int=\z@ %ZeroCheckpoint
+    \EQ_upgrade_error:
+  \else:
+    \EQ_post_process:
+    \ignorespacesafterend
+  \fi:}
+\def\EQ_post_process:{%
+  \EQ_initialize:
+  \EQ_begin_equation:
+  \MH_if_boolean:nT {outer_mult}{
+    \setkeys{\MT_options_name:}{
+      firstline-afterskip=0pt,
+      lastline-preskip=0pt,
+      multlined-width=0pt,
+    }
+    \ifodd \l_EQ_alignmentmode_int
+      \setkeys{\MT_options_name:}{multlined-pos=b}
+    \else:
+      \setkeys{\MT_options_name:}{multlined-pos=t}
+    \fi:
+      \g@addto@macro\EQ_complete_mathdisplay:{
+        \begin{MTmultlined}\relax}
+  }
+  \g@addto@macro\EQ_complete_mathdisplay:\EQ_mathbody:
+  \MH_if_boolean:nT {outer_mult}{
+    \g@addto@macro\EQ_complete_mathdisplay:{\end{MTmultlined}}
+  }
+  \EQ_end_equation:
+  \edef\EQ_hyperref_link_fint{\number\Hy@linkcounter}
+  \savecounters@
+  \EQ_typeset_tags:
+  \edef\l_EQ_equation_fint{\number\c@equation}
+  \restorecounters@
+  \Hy@linkcounter=\EQ_hyperref_link_fint
+  \settowidth\l_EQ_totalwidth_dim{%
+    $\EQ_left_side:\EQ_innerbox:{}\EQ_right_side:$}%
+  \MH_if_boolean:nTF {outer_mult}
+    { \def\EQ_next:{_mult} }
+    { \def\EQ_next:{} }
+  \@nameuse{EQ_modify_linewidth_
+            \romannumeral\l_EQ_equationtype_int\EQ_next: :}%
+  \EQ_typeset_display:
+  \@nameuse{find_displaywidth_
+           \romannumeral\l_EQ_equationtype_int\EQ_next: :}
+  \MH_addtolength:dn
+    \l_EQ_totalwidth_dim{\l_EQ_displaywidth_dim}
+  \savebox\EQ_mathdisplay_box[\l_EQ_totalwidth_dim][c]{%
+    $\EQ_left_side:
+    \EQ_innerbox:{%
+      \if_case:w \l_EQ_alignmentmode_int\or:
+        \makebox[\l_EQ_displaywidth_dim][c]
+          {\usebox{\EQ_mathdisplay_box}}%
+      \or:
+        \makebox[\l_EQ_displaywidth_dim][c]
+          {\usebox{\EQ_mathdisplay_box}}%
+      \or:
+        \makebox[\l_EQ_displaywidth_dim][l]{%
+          \if_num:w \l_EQ_equationtype_int=5 \else:
+            \if_num:w \l_EQ_equationtype_int=6 \else:
+              \kern-\@mathmargin
+            \fi:
+          \fi:
+          \usebox{\EQ_mathdisplay_box}}%
+      \or:
+        \makebox[\l_EQ_displaywidth_dim][l]{%
+          \if_num:w \l_EQ_equationtype_int=5 \else:
+            \if_num:w \l_EQ_equationtype_int=6 \else:
+              \kern-\@mathmargin
+            \fi:
+          \fi:
+          \usebox{\EQ_mathdisplay_box}}%
+      \fi:}%
+    \EQ_right_side:$}%
+  \begin{AmSequation*}
+  \@nameuse{EQ_place_display_
+           \romannumeral\l_EQ_equationtype_int\EQ_next: :}
+  \if_dim:w \g_EQ_widesttag_dim>\z@
+  \MH_set_boolean_T:n {show_manual_tags}
+    \if_case:w \l_EQ_alignmentmode_int
+    \or: \EQ_place_tag:N r %#1
+    \or: \EQ_place_tag:N l %#2
+    \or: \EQ_place_tag:N r %#3
+    \or: \EQ_place_tag:N l %#4
+    \fi:
+  \fi:
+  \end{AmSequation*}
+  \global\c@equation=\l_EQ_equation_fint\relax
+}
+\def\EQ_initialize:{%
+  \m@th
+  \MH_let:NwN\SetTagPlusEndMark\EQ_tag_plus_endmark:
+  \MH_let:NwN\SetOnlyEndMark\EQ_only_endmark:
+  \l_EQ_temp_linewidth_dim\linewidth
+  \g_EQ_toprow_height_dim\z@
+  \g_EQ_bottomrow_depth_dim\z@
+  \g_EQ_toptag_height_dim\z@
+  \g_EQ_bottomtag_depth_dim\z@
+  \g_EQ_widesttag_dim\z@
+  \xdef\g_EQ_latest_nonzerodepth_row_fint{\z@}
+  \edef\EQ_restore_tex_delimiter:{%
+    \delimiterfactor\the\delimiterfactor
+    \delimitershortfall\the\delimitershortfall\relax}%
+  \g@addto@macro\EQ_complete_mathdisplay:
+                \EQ_restore_tex_delimiter:
+  \delimitershortfall\EmphEqdelimitershortfall
+  \delimiterfactor\EmphEqdelimiterfactor
+  \MH_let:NwN\intertext@\EQ_intertext:
+  \EQ_displaybreak:}
+\def\EQ_intertext:{%
+  \def\intertext##1{\PackageError{empheq}{%
+    You~cannot~use~\string\intertext\space inside~the~`empheq'
+    \MessageBreak
+    environment,~as~`empheq'~creates~an~unbreakable~box}\@eha}}
+\def\EQ_displaybreak:{%
+  \def\dspbrk@[##1]{\PackageWarning{empheq}{%
+    You~cannot~use~\string\displaybreak\space inside~the~`empheq'%
+    \MessageBreak
+    environment,~as~`empheq'~creates~an~unbreakable~box.}}}
+\def\EQ_new_equationtype:nnn #1#2#3{%
+  \define@key{#1}{#2}[true]{%
+    \l_EQ_equationtype_int=#3\relax
+    \def\EQ_begin_equation:
+      {\g@addto@macro{\EQ_complete_mathdisplay:}{\begin{#2}}}%
+    \def\EQ_end_equation:
+      {\g@addto@macro{\EQ_complete_mathdisplay:}{\end{#2}}}}}
+\def\EQ_new_equationtype_arg:nnn #1#2#3{%
+  \define@key{#1}{#2}{%
+    \l_EQ_equationtype_int=#3\relax
+    \def\EQ_begin_equation:
+      {\g@addto@macro{\EQ_complete_mathdisplay:}{\begin{#2}{##1}}}%
+    \def\EQ_end_equation:
+      {\g@addto@macro{\EQ_complete_mathdisplay:}{\end{#2}}}}}
+\def\EQ_typeset_tags:{%
+  \sbox\EQ_tag_box{%
+    \parbox{.5\maxdimen}{%
+      \hbadness\@M
+      \EQ_prevent_vertical_space:
+      \EQ_typeset_tags_hook:
+      \MH_let:NwN\set@gather@field\EQ_set_gather_field:
+      \MH_let:NwN\set@field\EQ_set_align_field:
+      \MH_set_boolean_T:n {continue_measuring}
+      \global\g_EQ_temprow_int\m@ne
+      \MH_let:NwN \EQ_saved_maketag:n \maketag@@@
+      \def\maketag@@@##1{
+        \EQ_maketag:Nn \EQ_saved_maketag:n {##1}}
+      \EQ_complete_mathdisplay:}}}
+\def\EQ_predisplay_adjustment:{%
+  \if_dim:w \g_EQ_toprow_height_dim<\baselineskip
+    \vskip\g_EQ_toprow_height_dim
+    \vskip-\baselineskip
+  \else:
+    \vskip-\normallineskip
+  \fi:
+  \if_dim:w \g_EQ_toptag_height_dim>\g_EQ_toprow_height_dim
+    \if_dim:w \g_EQ_toptag_height_dim>\baselineskip
+      \vskip-\g_EQ_toptag_height_dim
+      \vskip\baselineskip
+      \vskip-\normallineskip
+    \fi:
+  \fi:}
+\def\EQ_postdisplay_adjustment:{%
+  \if_dim:w \g_EQ_bottomrow_depth_dim<\dp\strutbox
+    \vskip\g_EQ_bottomrow_depth_dim
+    \vskip-\dp\strutbox
+  \fi:
+  \if_dim:w \g_EQ_bottomtag_depth_dim>\g_EQ_bottomrow_depth_dim
+    \if_dim:w \g_EQ_bottomtag_depth_dim>\dp\strutbox
+      \vskip-\g_EQ_bottomtag_depth_dim
+      \vskip\dp\strutbox
+    \fi:
+  \fi:}
+\def\EQ_typeset_display:{%
+  \sbox\EQ_mathdisplay_box{%
+    \parbox{\l_EQ_temp_linewidth_dim}{%
+      \EQ_predisplay_adjustment:
+      \EQ_prevent_vertical_space:
+      \EQ_typeset_display_hook:
+      \def\maketag@@@##1{\EQ_maketag:Nn \vphantom{##1}}%
+      \EQ_complete_mathdisplay:
+      \EQ_postdisplay_adjustment:}}}
+\def\EQ_prevent_vertical_space:{%
+  \nointerlineskip
+  \abovedisplayskip\z@  \belowdisplayskip\z@\relax}
+\def\EQ_maketag:Nn #1#2{%
+  \setboxz@h{#2}%
+  \if_num:w \row@=\@ne
+    \global \g_EQ_toptag_height_dim = \ht\z@
+  \fi:
+  \global \g_EQ_bottomtag_depth_dim=\dp\z@
+  \xdef\g_EQ_latest_nonzerodepth_row_fint{\number\row@}
+  \@tempdima=\wd\z@
+  \if_dim:w \@tempdima > \g_EQ_widesttag_dim
+    \global \g_EQ_widesttag_dim = \@tempdima
+  \fi:
+  #1{#2}%
+}
+\def\EQ_set_gather_field:{%
+  \iftagsleft@
+    \global\lineht@\ht\z@
+  \else:
+    \global\lineht@\dp\z@
+  \fi:
+  \kern\eqnshift@
+  %\boxz@ % Original amsmath version
+  \EQ_measure_gather:
+  \phantom{\boxz@}%
+  \hfil}
+\def\EQ_measure_gather:{%
+  \if_num:w \row@=\@ne
+    \g_EQ_toprow_height_dim=\ht\z@
+  \fi:
+  \g_EQ_bottomrow_depth_dim=\dp\z@
+  \global\g_EQ_toprow_height_dim\g_EQ_toprow_height_dim
+  \global\g_EQ_bottomrow_depth_dim\g_EQ_bottomrow_depth_dim}
+\def\EQ_set_align_field:{%
+  \column@plus
+  \iftagsleft@
+    \if_dim:w \ht\z@>\lineht@
+      \global\lineht@\ht\z@
+    \fi:
+  \else:
+    \if_dim:w \dp\z@>\lineht@
+      \global\lineht@\dp\z@
+    \fi:
+  \fi:
+  %\boxz@ % Original amsmath version
+  \MH_if_boolean:nT {continue_measuring}{ \EQ_measure_align: }
+  \phantom{\boxz@}}
+\newcount\g_EQ_temprow_int
+\MH_new_boolean:n {still_in_samerow}
+\MH_new_boolean:n {continue_measuring}
+\def\EQ_measure_align:{%
+  \if_num:w \g_EQ_temprow_int=\row@
+    \MH_set_boolean_T:n {still_in_samerow}
+  \else:
+    \if_num:w \g_EQ_temprow_int>\row@
+      \global\MH_set_boolean_F:n {continue_measuring}
+    \fi:
+    \MH_set_boolean_F:n {still_in_samerow}
+    \global\@tempdimc=\@tempdimb
+    \global\@tempdimb=\g_EQ_bottomrow_depth_dim
+  \fi:
+  \MH_if_boolean:nTF {continue_measuring}{
+    \global\g_EQ_temprow_int=\row@
+    \@tempcnta=\row@
+    \if_num:w \@tempcnta=\z@
+      \@tempdima=\g_EQ_toprow_height_dim
+      \g_EQ_toprow_height_dim=\ht\z@\relax
+      \if_dim:w \g_EQ_toprow_height_dim<\@tempdima
+        \g_EQ_toprow_height_dim\@tempdima
+      \fi:
+    \fi:
+    \MH_if_boolean:nTF {still_in_samerow}{
+      \@tempdima=\g_EQ_bottomrow_depth_dim
+      \g_EQ_bottomrow_depth_dim=\dp\z@\relax
+      \if_dim:w \g_EQ_bottomrow_depth_dim<\@tempdima
+        \g_EQ_bottomrow_depth_dim\@tempdima
+      \fi:
+    }{
+      \g_EQ_bottomrow_depth_dim\dp\z@\relax
+    }
+  }{
+    \global\g_EQ_bottomrow_depth_dim=\@tempdimc
+  }
+  \global\g_EQ_toprow_height_dim\g_EQ_toprow_height_dim
+  \global\g_EQ_bottomrow_depth_dim\g_EQ_bottomrow_depth_dim}
+\def\EQ_place_tag:N #1{%
+  \tag*{\makebox[\g_EQ_widesttag_dim][#1]{%
+    \EQ_vertical_tag_adjustment:n {\usebox{\EQ_tag_box}}}}}
+\def\EQ_vertical_tag_adjustment:n #1{{%
+  \@tempdima\z@\@tempdimb\z@
+  \@tempdimc=\dp\strutbox
+  \if_dim:w \g_EQ_toprow_height_dim<\baselineskip
+    \MH_setlength:dn
+      \@tempdima{\g_EQ_toprow_height_dim-\baselineskip}
+  \else:
+    \MH_setlength:dn \@tempdima{-\normallineskip}
+  \fi:
+  \if_dim:w \g_EQ_toptag_height_dim>\g_EQ_toprow_height_dim
+    \if_dim:w \g_EQ_toptag_height_dim>\baselineskip
+      \MH_addtolength:dn \@tempdima
+        {-\g_EQ_toptag_height_dim+\baselineskip-\normallineskip}
+    \fi:
+  \fi:
+  \if_dim:w \g_EQ_bottomrow_depth_dim<\@tempdimc
+    \MH_setlength:dn \@tempdimb
+      {\g_EQ_bottomrow_depth_dim-\@tempdimc}
+  \fi:
+  \if_dim:w \g_EQ_bottomtag_depth_dim>\g_EQ_bottomrow_depth_dim
+    \if_dim:w \g_EQ_bottomtag_depth_dim<\@tempdimc
+    \else:
+      \MH_addtolength:dn \@tempdimb
+        {-\g_EQ_bottomtag_depth_dim+\@tempdimc}
+    \fi:
+  \fi:
+  \raisebox{-0.5\@tempdima+0.5\@tempdimb}{#1}}}%
+\def\EQ_use_mathdisplay:{%
+  \EQ_outerbox:{\usebox{\EQ_mathdisplay_box}}}
+\def\EQ_options_name:{EmphEqOpt}
+\MH_keyval_alias_with_addon:nnnn {EmphEqEnv}{equation}{gather}
+  {\EQ_disable_linebreak:}
+\MH_keyval_alias_with_addon:nnnn {EmphEqEnv}{equation*}{gather*}
+  {\EQ_disable_linebreak:}
+\def\EQ_disable_linebreak:{%
+  \MH_let:NwN \EQ_saved_Let: \Let@
+  \def\Let@{\def\\{%
+    \PackageError{empheq}{You~ cannot~ use~ \string\\~ in~ equation!}
+      {\@eha}}
+    \MH_let:NwN \Let@ \EQ_saved_Let:
+  }%
+}
+\EQ_new_equationtype:nnn {EmphEqEnv}{align}{1}
+\EQ_new_equationtype:nnn {EmphEqEnv}{align*}{2}
+\def\EQ_modify_linewidth_i:{%
+  \if_num:w \maxfields@=\tw@
+  \else:
+    \setlength{\l_EQ_temp_linewidth_dim}{%
+      \linewidth-\l_EQ_totalwidth_dim-\widthof{\EQ_outerbox:{}}}%
+  \fi:}
+\def\EQ_modify_linewidth_ii:{\EQ_modify_linewidth_i:}
+\def\find_displaywidth_i:{%
+  \MH_setlength:dn \l_EQ_displaywidth_dim
+    {\l_EQ_temp_linewidth_dim-\alignsep@}
+  \if_case:w \l_EQ_alignmentmode_int
+  \or: % #1:
+    \MH_addtolength:dn \l_EQ_displaywidth_dim{-\alignsep@}%
+  \or: % #2:
+    \MH_addtolength:dn \l_EQ_displaywidth_dim{-\alignsep@}%
+  \or: % #3:
+    \MH_addtolength:dn \l_EQ_displaywidth_dim{-\@mathmargin}%
+  \or: % #4:
+    \MH_addtolength:dn \l_EQ_displaywidth_dim{-\@mathmargin}%
+  \fi:}
+\def\find_displaywidth_ii:{\find_displaywidth_i:}
+\def\EQ_place_display_i: {\EQ_use_mathdisplay:}
+\def\EQ_place_display_ii:{\EQ_place_display_i:}
+\EQ_new_equationtype:nnn {EmphEqEnv}{gather}{3}
+\EQ_new_equationtype:nnn {EmphEqEnv}{gather*}{4}
+\def\EQ_modify_linewidth_iii:{}
+\def\EQ_modify_linewidth_iv:{\EQ_modify_linewidth_iii:}
+\def\find_displaywidth_iii:{%
+  \MH_setlength:dn \l_EQ_displaywidth_dim{\totwidth@}%
+  \if_case:w \l_EQ_alignmentmode_int \or: \or: % #1 & #2:
+  \or: % #3:
+    \MH_addtolength:dn \l_EQ_displaywidth_dim{-\@mathmargin}%
+  \or: % #4:
+    \MH_addtolength:dn \l_EQ_displaywidth_dim{-\@mathmargin}%
+  \fi:}
+\def\find_displaywidth_iv:{\find_displaywidth_iii:}
+\def\EQ_place_display_iii:{\EQ_use_mathdisplay:}
+\def\EQ_place_display_iv: {\EQ_place_display_iii:}
+\MH_keyval_alias_with_addon:nnnn {EmphEqEnv}{multline}
+  {flalign}{\MH_set_boolean_T:n {multline}}
+\MH_keyval_alias_with_addon:nnnn {EmphEqEnv}{multline*}
+  {flalign*}{\MH_set_boolean_T:n {multline}}
+\MH_new_boolean:n {multline}
+\def\EQ_multline_modify_linewidth_tag:{%
+  \if_case:w \l_EQ_alignmentmode_int
+  \or: % #1:
+    \MH_addtolength:dn \l_EQ_temp_linewidth_dim{%
+      -\g_EQ_widesttag_dim-\multlinetaggap-\multlinegap}%
+  \or:
+    \MH_addtolength:dn \l_EQ_temp_linewidth_dim{%
+      -\g_EQ_widesttag_dim-\multlinetaggap-\multlinegap}%
+  \or:
+    \MH_addtolength:dn \l_EQ_temp_linewidth_dim{%
+      -\@mathmargin-\g_EQ_widesttag_dim-\multlinetaggap}%
+  \or:
+    \MH_addtolength:dn
+      \l_EQ_temp_linewidth_dim{-\@mathmargin-\multlinegap}%
+  \fi:
+}
+\def\EQ_multline_modify_linewidth_notag:{%
+  \if_case:w \l_EQ_alignmentmode_int\or:
+    \MH_addtolength:dn \l_EQ_temp_linewidth_dim{-2\multlinegap}
+  \or:
+    \MH_addtolength:dn \l_EQ_temp_linewidth_dim{-2\multlinegap}
+  \or:
+    \MH_addtolength:dn
+      \l_EQ_temp_linewidth_dim{-\@mathmargin-\multlinegap}%
+  \or:
+    \MH_addtolength:dn
+      \l_EQ_temp_linewidth_dim{-\@mathmargin-\multlinegap}%
+  \fi:
+}
+\MH_let:NwN \MTmultlined \multlined
+\MH_let:NwN \endMTmultlined \endmultlined
+\MH_if_boolean:nTF {good_mult}{
+\MH_keyval_alias_with_addon:nnnn {EmphEqEnv}{multline}{gather}
+  {\MH_set_boolean_T:n {outer_mult}}
+\MH_keyval_alias_with_addon:nnnn {EmphEqEnv}{multline*}{gather*}
+  {\MH_set_boolean_T:n {outer_mult}}
+\def\EQ_modify_linewidth_iii_mult:{
+  \setlength{\l_EQ_temp_linewidth_dim}{%
+    \linewidth-\widthof{\EQ_outerbox:{}}}%
+  \if_dim:w \g_EQ_widesttag_dim>\z@
+    \EQ_multline_modify_linewidth_tag:
+  \else:
+    \EQ_multline_modify_linewidth_notag:
+  \fi:
+  \MH_setlength:dn \l_MT_multwidth_dim{\l_EQ_temp_linewidth_dim}
+}
+\def\EQ_modify_linewidth_iv_mult:{\EQ_modify_linewidth_iii_mult:}
+\def\find_displaywidth_iii_mult:{%
+  \MH_setlength:dn \l_EQ_displaywidth_dim{\totwidth@}%
+  \if_case:w \l_EQ_alignmentmode_int \or: \or: % #1 & #2:
+  \or: % #3:
+    \MH_addtolength:dn \l_EQ_displaywidth_dim{-\@mathmargin}%
+  \or: % #4:
+    \MH_addtolength:dn \l_EQ_displaywidth_dim{-\@mathmargin}%
+  \fi:}
+\def\find_displaywidth_iv_mult:{\find_displaywidth_iii_mult:}
+\def\EQ_place_display_iii_mult:{
+  \if_case:w \l_EQ_alignmentmode_int
+  \or: % #1:
+    \if_dim:w \g_EQ_widesttag_dim>\z@
+      \abovedisplayshortskip=\abovedisplayskip
+      \rlap{
+        \kern-.5\linewidth
+        \kern\multlinegap
+        \EQ_use_mathdisplay:
+      }
+    \else:
+      \EQ_use_mathdisplay:
+    \fi:
+  \or: % #2:
+    \if_dim:w \g_EQ_widesttag_dim>\z@
+      \llap{
+        \EQ_use_mathdisplay:
+        \kern-.5\linewidth
+        \kern\multlinegap
+      }%
+    \else:
+      \EQ_use_mathdisplay:
+    \fi:
+  \or: % #3:
+    \EQ_use_mathdisplay:
+  \or: % #4:
+    \EQ_use_mathdisplay:
+  \fi:
+}
+\def\EQ_place_display_iv_mult: {\EQ_place_display_iii_mult:}
+}{
+\def\EQ_generic_multline:nnnnn #1#2#3#4#5{%
+  \hskip1sp#2#3{{}#5}#4%
+  \if:w *#1\relax\else:\notag\fi:}
+\def\multleft{\@ifstar{%
+  \MH_if_boolean:nTF {multlined}{
+    \def\EQ_next:{\EQ_multlined_left:n}
+  }{
+    \def\EQ_next:{
+      \EQ_generic_multline:nnnnn {*}{}{\mathrlap}{&&&&&}}
+  }
+  \EQ_next:}{%
+  \MH_if_boolean:nTF {multlined}{
+    \def\EQ_next:{\EQ_multlined_left:n}%
+  }{
+    \def\EQ_next:{
+      \EQ_generic_multline:nnnnn {}{}{\mathrlap}{&&&&&}}
+  }
+  \EQ_next:}}%
+\def\multcenter{\@ifstar{%
+  \MH_if_boolean:nTF {multlined}{
+    \def\EQ_next:{\EQ_multlined_center:n}%
+  }{
+    \def\EQ_next:{
+      \EQ_generic_multline:nnnnn {*}{&&}{\mathclap}{&&&}}
+  }
+  \EQ_next:}{%
+  \MH_if_boolean:nTF {multlined}{
+    \def\EQ_next:{\EQ_multlined_center:n }%
+  }{
+    \def\EQ_next:{
+      \EQ_generic_multline:nnnnn {}{&&}{\mathclap}{&&&}}
+  }
+  \EQ_next:}}%
+\def\multright{\@ifstar{%
+  \MH_if_boolean:nTF {multlined}{
+    \def\EQ_next:{\EQ_multlined_right:n }%
+  }{
+    \def\EQ_next:{
+      \EQ_generic_multline:nnnnn {*}{&&&&&}{\mathllap}{}}
+  }
+  \EQ_next:}{%
+  \MH_if_boolean:nTF {multlined}{
+    \def\EQ_next:{\EQ_multlined_right:n }%
+  }{
+    \def\EQ_next:{
+      \EQ_generic_multline:nnnnn {}{&&&&&}{\mathllap}{}}
+  }
+  \EQ_next:}}
+\def\multfirst{%
+  \MH_if_boolean:nTF {multlined}{
+     \def\EQ_next:{\EQ_multlined_left:n }%
+  }{
+    \if_case:w \l_EQ_alignmentmode_int
+    \or: % #1:
+      \def\EQ_next:{\multleft}%
+    \or: % #2:
+      \def\EQ_next:{\multleft*}%
+    \or: % #3:
+      \def\EQ_next:{\multleft}%
+    \or: % #4:
+      \def\EQ_next:{\multleft*}%
+    \fi:
+  }
+  \EQ_next:}
+\def\multmiddle{%
+  \def\EQ_next:{%
+    \MH_if_boolean:nTF {multlined}{
+      \expandafter\EQ_multlined_center:n
+    }{
+      \expandafter\multcenter
+    }
+  }%
+  \@ifstar{\EQ_next:}{\EQ_next:}}
+\def\multlast{%
+  \MH_if_boolean:nTF {multlined}{
+     \def\EQ_next:{\EQ_multlined_right:n }%
+  }{
+    \if_case:w \l_EQ_alignmentmode_int
+    \or: % #1:
+      \def\EQ_next:{\multright*}%
+    \or: % #2:
+      \def\EQ_next:{\multright}%
+    \or: % #3:
+      \def\EQ_next:{\multright*}%
+    \or: % #4:
+      \def\EQ_next:{\multright}%
+    \fi:
+  }
+  \EQ_next:}
+\MH_new_boolean:n {multlined}
+\newdimen\multlinedwidth
+\MH_setlength:dn \multlinedwidth{.7\linewidth}
+\renewenvironment{multlined}%
+  {\MH_nospace_ifnextchar:Nnn [  {\EQ_multlined_I:w}
+                                 {\EQ_multlined_I:w[c]}
+  }
+  { \endaligned }
+\def\EQ_multlined_I:w[#1]{%
+  \MH_nospace_ifnextchar:Nnn[  {\EQ_multlined_II:w[#1]}
+                               {\EQ_multlined_II:w[#1][\multlinedwidth]}}
+\def\EQ_multlined_II:w[#1][#2]{%
+  \MH_set_boolean_T:n {multlined}
+  \MH_let:NwN \Let@\MT_saved_Let:
+  \if:w t#1\relax \EQ_multlined_III:nn {#1}{#2}%
+  \else:
+    \if:w b#1\relax \EQ_multlined_III:nn {#1}{#2}%
+    \else:
+      \if:w c#1\relax \EQ_multlined_III:nn {#1}{#2}%
+      \else:
+        \EQ_multlined_III:nn {#2}{#1}%
+      \fi:
+    \fi:
+  \fi:
+  \mkern-\thinmuskip
+  \EQ_next:}
+\def\EQ_multlined_III:nn #1#2{%
+  \def\EQ_next:{\setlength\multlinedwidth{#2}%
+                          \start@aligned{#1}{\thr@@}}}
+\def\EQ_multlined_left:n #1{%
+  \mathrlap{#1}&\hskip.5\multlinedwidth&&\hskip.5\multlinedwidth&&}
+\def\EQ_multlined_center:n #1{%
+  &\hskip.5\multlinedwidth&&\mathclap{#1}\hskip.5\multlinedwidth&&}
+\def\EQ_multlined_right:n #1{%
+  &\hskip.5\multlinedwidth&&\hskip.5\multlinedwidth&&\mathllap{#1}}
+}
+\EQ_new_equationtype:nnn {EmphEqEnv}{flalign}{5}
+\EQ_new_equationtype:nnn {EmphEqEnv}{flalign*}{6}
+\def\EQ_modify_linewidth_v:{%
+  \setlength{\l_EQ_temp_linewidth_dim}{%
+    \linewidth-\l_EQ_totalwidth_dim-\widthof{\EQ_outerbox:{}}}%
+  \if_dim:w \g_EQ_widesttag_dim>\z@
+    \MH_if_boolean:nTF {multline}{
+      \EQ_multline_modify_linewidth_tag:
+    }{
+      \if_case:w \l_EQ_alignmentmode_int
+      \or: % #1:
+        \MH_addtolength:dn  \l_EQ_temp_linewidth_dim
+          {-\g_EQ_widesttag_dim-\mintagsep}
+      \or: % #2:
+        \MH_addtolength:dn \l_EQ_temp_linewidth_dim
+          {-\g_EQ_widesttag_dim-\mintagsep}%
+      \or: % #3:
+        \MH_addtolength:dn \l_EQ_temp_linewidth_dim
+          {-\g_EQ_widesttag_dim-\mintagsep}
+      \or: % #4:
+        \MH_addtolength:dn \l_EQ_temp_linewidth_dim
+          {-\@mathmargin}
+      \fi:
+    }
+  \else:
+    \MH_if_boolean:nT {multline}{
+      \EQ_multline_modify_linewidth_notag:
+    }
+  \fi:}
+\def\EQ_modify_linewidth_vi:{\EQ_modify_linewidth_v:}
+\def\find_displaywidth_v:{%
+  \MH_setlength:dn
+    \l_EQ_displaywidth_dim{\l_EQ_temp_linewidth_dim}}
+\def\find_displaywidth_vi:{\find_displaywidth_v:}
+\def\EQ_place_display_v:{%
+  \if_case:w \l_EQ_alignmentmode_int
+  \or: % #1:
+    \if_dim:w \g_EQ_widesttag_dim>\z@
+      \MH_if_boolean:nTF {multline}{
+        \rlap{\kern\multlinegap  \kern-.5\linewidth
+          \EQ_use_mathdisplay:
+          \kern-\mintagsep  \kern\multlinetaggap}%
+      }{
+        \rlap{\kern-.5\linewidth\EQ_use_mathdisplay:}%
+      }
+    \else:
+      \EQ_use_mathdisplay:
+    \fi:
+  \or: % #2:
+    \if_dim:w \g_EQ_widesttag_dim>\z@
+      \MH_if_boolean:nTF {multline}{
+        \llap{\kern-\mintagsep \kern\multlinetaggap
+          \EQ_use_mathdisplay:
+          \kern\multlinegap  \kern-.5\linewidth}%
+      }{
+        \llap{\EQ_use_mathdisplay:\kern-.5\linewidth}%
+      }
+    \else:
+      \EQ_use_mathdisplay:
+    \fi:
+  \or: % #3:
+    \MH_if_boolean:nF {multline}{ \kern-\multlinetaggap }
+    \EQ_use_mathdisplay:
+  \or: % #4:
+    \if_dim:w \g_EQ_widesttag_dim>\z@
+    \else:
+      \MH_if_boolean:nF {multline}{ \kern-\@mathmargin }
+    \fi:
+    \EQ_use_mathdisplay:
+  \fi:
+  \MH_set_boolean_F:n {multline}}
+\def\EQ_place_display_vi:{\EQ_place_display_v:}
+\EQ_new_equationtype_arg:nnn {EmphEqEnv}{alignat}{7}
+\EQ_new_equationtype_arg:nnn {EmphEqEnv}{alignat*}{8}
+\def\EQ_modify_linewidth_vii:{}
+\def\EQ_modify_linewidth_viii:{\EQ_modify_linewidth_vii:}
+\def\find_displaywidth_vii:{%
+  \MH_setlength:dn \l_EQ_displaywidth_dim{\totwidth@}%
+  \if_case:w \l_EQ_alignmentmode_int
+  \or: % #1:
+  \or: % #2:
+  \or: % #3:
+    \MH_addtolength:dn \l_EQ_displaywidth_dim{-\eqnshift@}%
+  \or: % #4:
+    \MH_addtolength:dn \l_EQ_displaywidth_dim{-\@mathmargin}%
+  \fi:}
+\def\find_displaywidth_viii:{\find_displaywidth_vii:}
+\def\EQ_place_display_vii:{\EQ_use_mathdisplay:}
+\def\EQ_place_display_viii:{\EQ_place_display_vii:}
+\define@key{\EQ_options_name:}{box}{\def\EQ_outerbox:{#1}}
+\MH_keyval_alias:nnn {\EQ_options_name:}{outerbox}{box}
+\def\EQ_marginbox:nn #1#2{%
+  \settowidth{\@tempdima}{#2}%
+  \makebox[\z@]{\hspace{\@tempdima}#1{#2}}}
+\define@key{\EQ_options_name:}{marginbox}{%
+  \def\EQ_outerbox:{\EQ_marginbox:nn {#1}}}
+\define@key{\EQ_options_name:}{innerbox}{\def\EQ_innerbox:{#1}}
+\define@key{\EQ_options_name:}{left}{\def\EQ_left_side:{#1}}
+\define@key{\EQ_options_name:}{right}{\def\EQ_right_side:{#1}}
+\newcommand*\empheqset[1]{\setkeys{\EQ_options_name:}{#1}}
+\def\EQ_upgrade_error:{%
+  \PackageError{empheq}
+    {You~ are~ using~ the~ old~ syntax!\MessageBreak
+    The~ `empheq'~ environment~ takes~ a~ mandatory~
+    argument~ now.\MessageBreak
+    You~ need~ to~ exit~ and~ change~ your~ source~ file.}
+    {It~ won't~ work,~ trust me.~ Press~ `X'~ now.}}
+\define@key{\EQ_options_name:}{boxtype}{\EQ_upgrade_error:}
+\define@key{\EQ_options_name:}{Left}{\EQ_upgrade_error:}
+\define@key{\EQ_options_name:}{Right}{\EQ_upgrade_error:}
+\newenvironment{empheq}[2][]{%
+  \setkeys{EmphEqEnv}{#2}\setkeys{\EQ_options_name:}{#1}%
+  \EmphEqMainEnv}{\endEmphEqMainEnv}
+\newcommand*\DeclareLeftDelimiter[2][]{%
+  \EQ_declare_left_delimiter:nnnn {#1}{#2}{}{}%
+  \EQ_declare_left_delimiter:nnnn {#1}{#2}{big}{\EQ_innerbox:}}
+\def\EQ_declare_left_delimiter:nnnn #1#2#3#4{%
+  \@namedef{empheq#3\expandafter\@gobble\string#2}{%
+    \left#2%
+    \mkern-\thinmuskip
+    \vphantom{#4{\parbox{.5\maxdimen}{%
+      \EQ_predisplay_adjustment:
+      \EQ_prevent_vertical_space:
+      \usebox{\EQ_tag_box}%
+      \EQ_postdisplay_adjustment:}}}%
+    \right.%
+    \kern-\nulldelimiterspace #1}}
+\newcommand*\DeclareRightDelimiter[2][]{%
+  \EQ_declare_right_delimiter:nnnn {#1}{#2}{}{}%
+  \EQ_declare_right_delimiter:nnnn {#1}{#2}{big}{\EQ_innerbox:}}
+\def\EQ_declare_right_delimiter:nnnn #1#2#3#4{%
+  \@namedef{empheq#3\expandafter\@gobble\string#2}{%
+    \kern-\nulldelimiterspace
+    #1%
+    \left.%
+    \vphantom{#4{\parbox{.5\maxdimen}{%
+      \EQ_predisplay_adjustment:
+      \EQ_prevent_vertical_space:
+      \usebox{\EQ_tag_box}%
+      \EQ_postdisplay_adjustment:}}}%
+    \mkern-\thinmuskip
+    \right#2}}
+\DeclareLeftDelimiter{\lbrace}
+\DeclareRightDelimiter{\rbrace}
+\DeclareLeftDelimiter{\lbrack}
+\DeclareRightDelimiter{\rbrack}
+\DeclareLeftDelimiter{\langle}
+\DeclareRightDelimiter{\rangle}
+\DeclareLeftDelimiter{\lvert}
+\DeclareRightDelimiter{\rvert}
+\DeclareLeftDelimiter{\lVert}
+\DeclareRightDelimiter{\rVert}
+\DeclareLeftDelimiter{\lfloor}
+\DeclareRightDelimiter{\rfloor}
+\DeclareLeftDelimiter{\lceil}
+\DeclareRightDelimiter{\rceil}
+\DeclareLeftDelimiter{\lparen}
+\DeclareRightDelimiter{\rparen}
+\def\EQ_typeset_tags_hook:{}
+\def\EQ_typeset_display_hook:{}
+\g@addto@macro\EQ_typeset_display_hook:{
+  \def\SK@@label#1>#2\SK@{}
+}
+\@namedef{SK@AmSequation}  {\SK@equationtrue}
+\@namedef{SK@AmSequation*} {\SK@equationtrue}
+\@namedef{SK@AmSalign}     {\SK@equationtrue}
+\@namedef{SK@AmSalign*}    {\SK@equationtrue}
+\@namedef{SK@AmSalignat}   {\SK@equationtrue}
+\@namedef{SK@AmSalignat*}  {\SK@equationtrue}
+\@namedef{SK@AmSgather}    {\SK@equationtrue}
+\@namedef{SK@AmSgather*}   {\SK@equationtrue}
+\@namedef{SK@AmSmultline}  {\SK@equationtrue}
+\@namedef{SK@AmSmultline*} {\SK@equationtrue}
+\@namedef{SK@AmSflalign}   {\SK@equationtrue}
+\@namedef{SK@AmSflalign*}  {\SK@equationtrue}
+\AtBeginDocument{
+  \@ifundefined{Hy@linkcounter}{\newcount\Hy@linkcounter}{}
+}
+\g@addto@macro\EQ_typeset_display_hook:{
+  \MH_let:NwN \hyper@refstepcounter\@gobble
+}
+\g@addto@macro\EQ_typeset_tags_hook:{
+  \MH_let:NwN\TagsPlusEndmarks\relax
+  \MH_let:NwN\RestoreTags\relax
+}
+\g@addto@macro\EQ_typeset_display_hook:{
+  \MH_let:NwN\TagsPlusEndmarks\relax
+  \MH_let:NwN\RestoreTags\relax
+}
+\g@addto@macro\EQ_typeset_display_hook:{
+  \MH_let:NwN\ltx@label\MT_gobblelabel:w
+  \MH_let:NwN \GenericError \@gobblefour
+}
+\AtBeginDocument{%
+  \@ifpackageloaded{fancybox}{%
+    \@ifpackageloaded{color}{\definecolor{shadowcolor}{rgb}{0,0,0}}%
+    {\newcommand*\textcolor[2]{\normalcolor{#2}}}%
+    \MH_new_boolean:n {shadowbox_star}
+    \renewcommand*\shadowbox{%
+      \@ifstar{\MH_set_boolean_T:n {shadowbox_star}
+               \VerbBox\EQ_shadowbox:n}
+              {\MH_set_boolean_F:n {shadowbox_star}
+               \VerbBox\EQ_shadowbox:n}}
+    \def\EQ_shadowbox:n #1{%
+      \sbox{\z@}{\fbox{#1}}%
+      \MH_if_boolean:nTF {shadowbox_star}{
+        \MH_setlength:dn \@tempdima{\z@}%
+      }{
+        \MH_setlength:dn \@tempdima{\dp\z@+\shadowsize}%
+      }
+      \raisebox{\@tempdima}{%
+        \makebox[\z@][l]{%
+          \kern\shadowsize \textcolor{shadowcolor}{%
+            \rule[-\dp\z@-\shadowsize]{\wd\z@}{\shadowsize}}%
+        }%
+        \usebox\z@\textcolor{shadowcolor}{%
+          \rule[-\dp\z@-\shadowsize]{\shadowsize}{\ht\z@+\dp\z@}}}}%
+  }{}%
+}
+\def\EQ_overload_ams_begin:n #1{%
+  \MH_let:cc {AmS#1}{#1}%
+  \MH_let:cc {AmS#1*}{#1*}
+}
+\def\EQ_overload_ams_end:n #1{%
+  \MH_let:cc {endAmS#1}{endAmSalign}
+}
+\AtBeginDocument{
+  \EQ_overload_ams_begin:n {equation}
+  \MH_let:cc {endAmSequation}{endequation}
+  \MH_let:cc {endAmSequation*}{endequation*}
+  \MH_if_boolean:nT {overload_ams}{
+    \def\EQ_renew_ams_environment:n #1{%
+      \MaybeMHPrecedingSpacesOff
+      \renewenvironment{#1}[1][]{%
+        \setkeys{\EQ_options_name:}{##1}%
+        \setkeys{EmphEqEnv}{AmS#1}%
+        \EmphEqMainEnv
+      }{\endEmphEqMainEnv}
+      \MHPrecedingSpacesOn
+    }
+    \EQ_new_equationtype:nnn     {EmphEqEnv}{AmSalign}   {1}
+    \EQ_new_equationtype:nnn     {EmphEqEnv}{AmSalign*}  {2}
+    \EQ_new_equationtype:nnn     {EmphEqEnv}{AmSgather}  {3}
+    \EQ_new_equationtype:nnn     {EmphEqEnv}{AmSgather*} {4}
+    \EQ_new_equationtype:nnn     {EmphEqEnv}{AmSflalign} {5}
+    \EQ_new_equationtype:nnn     {EmphEqEnv}{AmSflalign*}{6}
+    \EQ_new_equationtype_arg:nnn {EmphEqEnv}{AmSalignat} {7}
+    \EQ_new_equationtype_arg:nnn {EmphEqEnv}{AmSalignat*}{8}
+    \EQ_overload_ams_begin:n {gather}
+    \MH_let:cc {endAmSgather}{endgather}
+    \MH_let:cc {endAmSgather*}{endAmSgather}
+    \EQ_renew_ams_environment:n {gather}
+    \EQ_renew_ams_environment:n {gather*}
+    \EQ_overload_ams_begin:n {equation}
+    \MH_keyval_alias_with_addon:nnnn {EmphEqEnv} {AmSequation}
+      {AmSgather}{\EQ_disable_linebreak:}
+    \MH_keyval_alias_with_addon:nnnn {EmphEqEnv}{AmSequation*}
+      {AmSgather*}{\EQ_disable_linebreak:}
+    \EQ_renew_ams_environment:n {equation}
+    \EQ_renew_ams_environment:n {equation*}
+    \EQ_overload_ams_begin:n {align}
+    \MH_let:cc {endAmSalign}{endalign}
+    \EQ_overload_ams_end:n {align*}
+    \EQ_renew_ams_environment:n {align}
+    \EQ_renew_ams_environment:n {align*}
+    \EQ_overload_ams_begin:n {flalign}
+    \EQ_overload_ams_end:n {flalign}
+    \EQ_overload_ams_end:n {flalign*}
+    \EQ_renew_ams_environment:n {flalign}
+    \EQ_renew_ams_environment:n {flalign*}
+    \EQ_overload_ams_begin:n {alignat}
+    \EQ_overload_ams_end:n {alignat}
+    \EQ_overload_ams_end:n {alignat*}
+    \MaybeMHPrecedingSpacesOff
+    \newcommand*\EQ_alignat_optional:w [1][]{
+      \setkeys{\EQ_options_name:}{#1}
+      \EmphEqMainEnv}
+    \MHPrecedingSpacesOn
+    \renewenvironment{alignat}[1]{
+      \setkeys{EmphEqEnv}{AmSalignat=#1}
+      \EQ_alignat_optional:w}
+      {\endEmphEqMainEnv}
+    \renewenvironment{alignat*}[1]{%
+      \setkeys{EmphEqEnv}{AmSalignat*=#1}%
+      \EQ_alignat_optional:w}%
+      {\endEmphEqMainEnv}
+    \DeclareRobustCommand{\[}{\begin{AmSequation*}}
+    \DeclareRobustCommand{\]}{\end{AmSequation*}}
+    \MH_keyval_alias:nnn {EmphEqEnv}{gather}  {AmSgather}
+    \MH_keyval_alias:nnn {EmphEqEnv}{gather*} {AmSgather*}
+    \MH_keyval_alias:nnn {EmphEqEnv}{align}   {AmSalign}
+    \MH_keyval_alias:nnn {EmphEqEnv}{align*}  {AmSalign*}
+    \MH_keyval_alias:nnn {EmphEqEnv}{flalign} {AmSflalign}
+    \MH_keyval_alias:nnn {EmphEqEnv}{flalign*}{AmSflalign*}
+    \MH_keyval_alias:nnn {EmphEqEnv}{alignat} {AmSalignat}
+    \MH_keyval_alias:nnn {EmphEqEnv}{alignat*}{AmSalignat*}
+    \MH_if_boolean:nT {good_mult}{
+      \EQ_overload_ams_begin:n {multline}
+      \MH_let:cc {endAmSmultline}{endmultline}
+      \MH_let:cc {endAmSmultline*}{endAmSmultline}
+      \MH_keyval_alias_with_addon:nnnn {EmphEqEnv}{AmSmultline}
+        {AmSgather}{\MH_set_boolean_T:n {outer_mult}}
+      \MH_keyval_alias_with_addon:nnnn {EmphEqEnv}{AmSmultline*}
+        {AmSgather*}{\MH_set_boolean_T:n {outer_mult}}
+      \EQ_renew_ams_environment:n {multline}
+      \EQ_renew_ams_environment:n {multline*}
+    }
+    \MH_if_boolean:nT {overload_amsII}{
+      \MH_protected:\def\[#1\]{\begin{equation*} #1\end{equation*}}
+      \MH_if_boolean:nF {good_mult}{
+        \EQ_overload_ams_begin:n {multline}
+        \MH_keyval_alias_with_addon:nnnn {EmphEqEnv}{AmSmultline}
+          {AmSflalign}{\MH_set_boolean_T:n {multline}}
+        \MH_keyval_alias_with_addon:nnnn {EmphEqEnv}{AmSmultline*}
+          {AmSflalign*}{\MH_set_boolean_T:n {multline}}
+        \EQ_renew_ams_environment:n {multline}
+        \EQ_renew_ams_environment:n {multline*}
+      }
+    }
+  }
+}
+\endinput
+%%
+%% End of file `empheq.sty'.
diff --git a/Master/texmf-dist/tex/latex/mh/empheq07.sty b/Master/texmf-dist/tex/latex/mh/empheq07.sty
new file mode 100644
index 00000000000..2ca5134e715
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/mh/empheq07.sty
@@ -0,0 +1,752 @@
+%%
+%% This is file `empheq07.sty',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% empheq07.dtx  (with options: `package')
+%% 
+%% It may be distributed and/or modified under the
+%% conditions of the LaTeX Project Public License, either version 1.3
+%% of this license or (at your option) any later version.
+%% The latest version of this license is in
+%%   http://www.latex-project.org/lppl.txt
+%% and version 1.3 or later is part of all distributions of LaTeX
+%% version 2003/12/01 or later.
+%% 
+%% This work has the LPPL maintenance status "maintained".
+%% 
+%% The Current Maintainer of this work is Morten H\o gholm.
+%% 
+%% This work consists of the files empheq07.dtx and empheq07.ins and
+%% the derived file empheq07.sty.
+%% 
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{empheq07}
+          [2004/07/27 v0.7d Emphasizing equations (MH)]
+\DeclareOption*{\PassOptionsToPackage{\CurrentOption}{amsmath}}
+\ProcessOptions\relax
+\RequirePackage{amsmath}[2000/07/18]
+\RequirePackage{calc,keyval}
+\newif\if@emphEQ@FLL
+\newif\if@emphEQ@FLR
+\newif\if@emphEQ@L
+\newif\if@emphEQ@R
+\if@fleqn
+    \iftagsleft@
+        \@emphEQ@FLLtrue
+    \else
+        \@emphEQ@FLRtrue
+    \fi
+\else
+    \iftagsleft@
+        \@emphEQ@Ltrue
+    \else
+        \@emphEQ@Rtrue
+    \fi
+\fi
+\newif\if@emphEQ@gather
+\newif\if@emphEQ@align
+\newif\if@emphEQ@alignat
+\newif\if@emphEQ@multline
+\newif\if@emphEQ@NoNumEq
+\newsavebox{\@emphEQ@Box}
+\newlength{\@emphEQ@BoxWidth}
+\newlength{\@emphEQ@displaywidth}
+\newtoks\@emphEQ@mathbody
+\newcommand{\@emphEQ@Left}{}
+\newcommand{\@emphEQ@Right}{}
+\newlength{\@emphEQ@lwd}
+\newlength{\@emphEQ@rwd}
+\newcommand{\@emphEQ@boxtype}{}
+\newlength{\@emphEQ@boxtypelength}
+\AtBeginDocument{%
+    \@ifpackageloaded{fancybox}{}{%
+        \let\shadowbox=\fbox}}
+\newcommand{\@emphEQ@shadowbox}{\shadowbox}
+\newif\if@emphEQ@shadowbox
+\newlength{\@emphEQ@templength}
+\newcounter{@emphEQ@EqCtr}
+\newcommand{\@emphEQ@CloseEnough}[4]{%
+    \setlength{\@tempdima}{#1-#2}%
+    \ifdim\@tempdima>-5sp
+        \ifdim\@tempdima<5sp
+            #3
+        \else
+            #4
+        \fi
+    \else
+        #4
+    \fi
+}
+\def\@emphEQ@MainEnv{%
+    \edef\@emphEQ@EnvName{\@currenvir}%
+    {\ifnum0=`}\fi
+    \@emphEQ@mathbody{}\@emphEQ@get@body
+}
+\let\end@emphEQ@MainEnv\relax
+\long\def\@emphEQ@get@body#1\end{%
+    \@emphEQ@mathbody\expandafter{\the\@emphEQ@mathbody #1}%
+    \@emphEQ@findend
+}
+\def\@emphEQ@findend#1{%
+    \def\@tempa{#1}%
+    \ifx\@tempa\@emphEQ@EnvName
+        \expandafter\@emphEQ@PostProcess
+    \else
+        \@emphEQ@mathbody\expandafter{\the\@emphEQ@mathbody\end{#1}}%
+        \expandafter\@emphEQ@get@body
+    \fi
+}
+\def\@emphEQ@EnvName{@emphEQ@MainEnv}
+\newcommand*{\@emphEQ@PostProcess}{%
+    \ifx\@emphEQ@boxtype\@emphEQ@shadowbox
+        \@emphEQ@shadowboxtrue
+    \else
+        \@emphEQ@shadowboxfalse
+    \fi
+    \tagshift@=0pt \tagwidth@=0pt \totwidth@=0pt
+    \eqnshift@=0pt \alignsep@=0pt
+    \setcounter{@emphEQ@EqCtr}{\value{equation}}%
+    \begin{lrbox}{\@emphEQ@Box}%
+        \begin{minipage}{\linewidth}%
+        \vskip-\abovedisplayskip\relax\vskip-1pt\relax
+        \the\@emphEQ@mathbody
+        \end{minipage}%
+    \end{lrbox}%
+    \ifnum\value{equation}=\value{@emphEQ@EqCtr}%
+        \ifdim\tagwidth@>0pt
+        \else
+            \@emphEQ@NoNumEqtrue
+        \fi
+    \else
+        \setcounter{equation}{\value{@emphEQ@EqCtr}}%
+    \fi
+    \settowidth{\@emphEQ@boxtypelength}{\@emphEQ@boxtype{}}%
+    \if@emphEQ@FLL % fleqn and leqno
+        \ifdim\alignsep@>0pt % => align
+            \@emphEQ@aligntrue
+            \setlength{\@emphEQ@displaywidth}{\tagshift@-\@mathmargin}%
+        \else
+            \ifdim\eqnshift@=0pt % => multline %tagwidth@>
+                \@emphEQ@multlinetrue
+                \if@emphEQ@NoNumEq
+                    \setlength{\@emphEQ@displaywidth}{%
+                        \linewidth-\multlinegap-\@mathmargin
+                        -\@emphEQ@boxtypelength}%
+                \else
+                    \setlength{\@emphEQ@displaywidth}{%
+                        \linewidth-\tagwidth@-\multlinegap
+                        -\multlinetaggap-\@emphEQ@boxtypelength}%
+                \fi
+            \else
+                \ifdim\tagshift@=0pt % => gather
+                    \@emphEQ@gathertrue
+                    \setlength{\@emphEQ@displaywidth}{%
+                        \totwidth@-\@mathmargin}%
+                \else
+                    \ifdim\tagshift@=\totwidth@ % => alignat
+                        \@emphEQ@alignattrue
+                        \setlength{\@emphEQ@displaywidth}{%
+                            \totwidth@-\@mathmargin}%
+                    \else
+                        %Nothing thus far...
+                    \fi
+                \fi
+            \fi
+        \fi
+    \fi
+    \if@emphEQ@FLR % fleqn and reqno
+        \ifdim\alignsep@>0pt % => align
+            \@emphEQ@aligntrue
+            \setlength{\@emphEQ@displaywidth}{%
+                \linewidth-\@mathmargin+\tagshift@}%
+        \else
+            \ifdim\eqnshift@=0pt % => multline
+                \@emphEQ@multlinetrue
+                \if@emphEQ@NoNumEq
+                    \setlength{\@emphEQ@displaywidth}{%
+                        \linewidth-\multlinegap-\@mathmargin
+                        -\@emphEQ@boxtypelength}%
+                \else
+                    \setlength{\@emphEQ@displaywidth}{%
+                        \linewidth-\tagwidth@-\@mathmargin
+                        -\multlinetaggap-\@emphEQ@boxtypelength}%
+                \fi
+            \else
+                \ifdim\tagshift@=0pt % => gather
+                    \@emphEQ@gathertrue
+                    \setlength{\@emphEQ@displaywidth}{%
+                        \totwidth@-\@mathmargin}%
+                \else
+                    \@emphEQ@CloseEnough{\totwidth@-\tagshift@}%
+                    {\linewidth}%
+                    {\@emphEQ@alignattrue
+                    \setlength{\@emphEQ@displaywidth}%
+                    {\totwidth@-\eqnshift@}}{}%
+                \fi
+            \fi
+        \fi
+    \fi
+    \if@emphEQ@R % reqno
+        \ifdim\alignsep@>0pt % => align
+            \@emphEQ@aligntrue
+            \setlength{\@emphEQ@displaywidth}{\totwidth@}%
+        \else
+            \ifdim\eqnshift@=0pt % => multline
+                \@emphEQ@multlinetrue
+                \if@emphEQ@NoNumEq
+                    \setlength{\@emphEQ@displaywidth}{%
+                        \linewidth-2\multlinegap
+                        -\@emphEQ@boxtypelength}%
+                \else
+                    \setlength{\@emphEQ@displaywidth}{%
+                        \linewidth-\tagwidth@-\multlinegap
+                        -\multlinetaggap-\@emphEQ@boxtypelength}%
+                \fi
+            \else
+                \ifdim\tagshift@=0pt % => gather
+                    \@emphEQ@gathertrue
+                    \setlength{\@emphEQ@displaywidth}{\totwidth@}%
+                \else
+                    \@emphEQ@CloseEnough{\tagshift@}{-\eqnshift@}%
+                    {\@emphEQ@alignattrue
+                    \setlength{\@emphEQ@displaywidth}{\totwidth@}}{}%
+                \fi
+            \fi
+        \fi
+    \fi
+    \if@emphEQ@L % leqno
+        \ifdim\alignsep@>0pt % => align
+            \@emphEQ@aligntrue
+            \setlength{\@emphEQ@displaywidth}{\totwidth@}%
+        \else
+            \ifdim\eqnshift@=0pt % => multline
+                \@emphEQ@multlinetrue
+                \if@emphEQ@NoNumEq
+                    \setlength{\@emphEQ@displaywidth}{%
+                        \linewidth-2\multlinegap
+                        -\@emphEQ@boxtypelength}%
+                \else
+                    \setlength{\@emphEQ@displaywidth}{%
+                        \linewidth-\tagwidth@-\multlinegap
+                        -\multlinetaggap-\@emphEQ@boxtypelength}%
+                \fi
+            \else
+                \ifdim\tagshift@=0pt % => gather
+                    \@emphEQ@gathertrue
+                    \setlength{\@emphEQ@displaywidth}{\totwidth@}%
+                \else
+                    \@emphEQ@CloseEnough{%
+                        \linewidth-\eqnshift@}{\tagshift@}{%
+                        \@emphEQ@alignattrue
+                        \setlength{\@emphEQ@displaywidth}{\totwidth@}}%
+                        {}%
+                \fi
+            \fi
+        \fi
+    \fi
+    \settowidth{\@emphEQ@lwd}{${\@emphEQ@Left}%
+                               {\vphantom{\usebox{\@emphEQ@Box}}}$}%
+    \settowidth{\@emphEQ@rwd}{${\vphantom{\usebox{\@emphEQ@Box}}}%
+                               {\@emphEQ@Right}$}%
+    \begin{lrbox}{\@emphEQ@Box}%
+    \if@emphEQ@shadowbox
+        \addtolength{\@emphEQ@boxtypelength}{-\shadowsize}%
+    \fi
+    \if@emphEQ@align
+        \if@emphEQ@FLL
+            \begin{minipage}{\linewidth+\@emphEQ@lwd
+                +.5\@emphEQ@boxtypelength}%
+                \addtolength{\@mathmargin}{\@emphEQ@lwd
+                    +.5\@emphEQ@boxtypelength}%%
+        \fi
+        \if@emphEQ@FLR
+            \begin{minipage}{\linewidth}%
+                \addtolength{\@mathmargin}{\@emphEQ@lwd
+                    +.5\@emphEQ@boxtypelength}%%
+        \fi
+        \if@emphEQ@L
+            \begin{minipage}{\linewidth+\@emphEQ@lwd-\@emphEQ@rwd}%
+        \fi
+        \if@emphEQ@R
+            \begin{minipage}{\linewidth-\@emphEQ@lwd+\@emphEQ@rwd}%
+        \fi
+    \fi
+    \if@emphEQ@gather
+        \if@emphEQ@FLL
+            \begin{minipage}{\linewidth+\@emphEQ@lwd
+                +.5\@emphEQ@boxtypelength}%
+                \addtolength{\@mathmargin}{\@emphEQ@lwd
+                    +.5\@emphEQ@boxtypelength}%%
+        \fi
+        \if@emphEQ@FLR
+            \begin{minipage}{\linewidth}%
+                \addtolength{\@mathmargin}{\@emphEQ@lwd
+                    +.5\@emphEQ@boxtypelength}%%
+        \fi
+        \if@emphEQ@R
+            \setlength{\@emphEQ@templength}{\linewidth-\totwidth@
+                       -\eqnshift@}%
+            \begin{minipage}{\linewidth-\@emphEQ@lwd+\@emphEQ@rwd
+                             +\@emphEQ@templength-\eqnshift@}%
+        \fi
+        \if@emphEQ@L
+            \setlength{\@emphEQ@templength}{\linewidth-\totwidth@
+                       -\eqnshift@}%
+            \begin{minipage}{\linewidth+\@emphEQ@lwd-\@emphEQ@rwd
+                             -\@emphEQ@templength+\eqnshift@}%
+        \fi
+    \fi
+    \if@emphEQ@alignat
+        \if@emphEQ@FLL
+            \begin{minipage}{\linewidth+\@emphEQ@lwd
+                +.5\@emphEQ@boxtypelength}%
+                \addtolength{\@mathmargin}{\@emphEQ@lwd
+                    +.5\@emphEQ@boxtypelength}%%
+        \fi
+        \if@emphEQ@FLR
+            \begin{minipage}{\linewidth}%
+                \addtolength{\@mathmargin}{\@emphEQ@lwd
+                    +.5\@emphEQ@boxtypelength}%%
+        \fi
+        \if@emphEQ@L
+            \begin{minipage}{\linewidth+\@emphEQ@lwd-\@emphEQ@rwd}%
+        \fi
+        \if@emphEQ@R
+            \begin{minipage}{\linewidth-\@emphEQ@lwd+\@emphEQ@rwd}%
+        \fi
+    \fi
+    \if@emphEQ@multline
+        \if@emphEQ@FLL
+            \begin{minipage}{\linewidth}%
+                \if@emphEQ@NoNumEq
+                    \addtolength{\@mathmargin}{\@emphEQ@lwd
+                        +.5\@emphEQ@boxtypelength}%
+                    \if@emphEQ@shadowbox
+                        \addtolength{\@mathmargin}{\shadowsize}
+                    \fi%
+                \else
+                    \addtolength{\multlinetaggap}{\@emphEQ@lwd
+                        +.5\@emphEQ@boxtypelength}%
+                    \if@emphEQ@shadowbox
+                        \addtolength{\multlinegap}{\shadowsize}%
+                    \fi
+                \fi
+                \addtolength{\multlinegap}{\@emphEQ@rwd
+                    +.5\@emphEQ@boxtypelength}%
+        \fi
+        \if@emphEQ@FLR
+            \begin{minipage}{\linewidth}%
+                \if@emphEQ@NoNumEq
+                    \addtolength{\multlinegap}{\@emphEQ@rwd
+                        +.5\@emphEQ@boxtypelength}%
+                    \if@emphEQ@shadowbox
+                        \addtolength{\multlinegap}{\shadowsize}%
+                    \fi
+                \else
+                    \addtolength{\multlinetaggap}{\@emphEQ@rwd
+                        +.5\@emphEQ@boxtypelength}%
+                    \if@emphEQ@shadowbox
+                        \addtolength{\multlinetaggap}{\shadowsize}%
+                    \fi
+                \fi
+                \addtolength{\@mathmargin}{\@emphEQ@lwd
+                    +.5\@emphEQ@boxtypelength}%
+        \fi
+        \if@emphEQ@L
+            \begin{minipage}{\linewidth}%
+                \if@emphEQ@NoNumEq
+                    \addtolength{\multlinegap}{.5\@emphEQ@rwd
+                        +.5\@emphEQ@lwd+.5\@emphEQ@boxtypelength}%
+                    \if@emphEQ@shadowbox
+                        \addtolength{\multlinegap}{.5\shadowsize}%
+                    \fi
+                \else
+                    \addtolength{\multlinetaggap}{\@emphEQ@lwd
+                        +.5\@emphEQ@boxtypelength}%
+                    \addtolength{\multlinegap}{\@emphEQ@rwd
+                        +.5\@emphEQ@boxtypelength}%
+                    \if@emphEQ@shadowbox
+                        \addtolength{\multlinegap}{\shadowsize}%
+                    \fi
+                \fi
+        \fi
+        \if@emphEQ@R
+            \begin{minipage}{\linewidth}%
+                \if@emphEQ@NoNumEq
+                    \addtolength{\multlinegap}{.5\@emphEQ@rwd
+                        +.5\@emphEQ@lwd+.5\@emphEQ@boxtypelength}%
+                    \if@emphEQ@shadowbox
+                        \addtolength{\multlinegap}{.5\shadowsize}
+                    \fi
+                \else
+                    \addtolength{\multlinetaggap}{\@emphEQ@rwd
+                        +.5\@emphEQ@boxtypelength}%
+                    \addtolength{\multlinegap}{\@emphEQ@lwd
+                        +.5\@emphEQ@boxtypelength}%
+                    \if@emphEQ@shadowbox
+                        \addtolength{\multlinetaggap}{\shadowsize}
+                    \fi
+                \fi
+        \fi
+    \fi
+    \vskip-\abovedisplayskip\relax\vskip-1pt\relax
+    \the\@emphEQ@mathbody
+    \end{minipage}%
+    \end{lrbox}%
+\setlength{\@emphEQ@BoxWidth}{\@emphEQ@displaywidth+\@emphEQ@rwd
+                              +\@emphEQ@lwd}%
+\if@emphEQ@align
+    \if@emphEQ@FLL
+        \savebox{\@emphEQ@Box}{\makebox[\@emphEQ@BoxWidth][l]{%
+            \if@emphEQ@shadowbox \kern.5\shadowsize \fi
+            $\@emphEQ@Left$%
+            \kern-.5\@emphEQ@boxtypelength%
+            \kern-\@mathmargin
+            \kern-\@emphEQ@lwd
+            \usebox{\@emphEQ@Box}%
+            \kern-\@emphEQ@displaywidth
+            \kern-\@emphEQ@rwd
+            \kern-\@emphEQ@lwd
+            $\@emphEQ@Right$}}%
+    \fi
+    \if@emphEQ@FLR
+        \savebox{\@emphEQ@Box}{\makebox[\@emphEQ@BoxWidth][l]{%
+            \if@emphEQ@shadowbox \kern.5\shadowsize \fi
+            $\@emphEQ@Left$%
+            \kern-.5\@emphEQ@boxtypelength%
+            \kern-\@mathmargin
+            \kern-\@emphEQ@lwd
+            \usebox{\@emphEQ@Box}%
+            \kern-\alignsep@
+            $\@emphEQ@Right$}}%
+    \fi
+    \if@emphEQ@L
+        \savebox{\@emphEQ@Box}{\makebox[\@emphEQ@BoxWidth][c]{%
+            %\kern\eqnshift@
+            %\kern-\alignsep@
+            $\@emphEQ@Left$%
+            \kern-\eqnshift@
+            %\kern-\alignsep@
+            \usebox{\@emphEQ@Box}%
+            %\kern-\eqnshift@
+            \kern-\alignsep@
+            $\@emphEQ@Right$}}%
+    \fi
+    \if@emphEQ@R
+        \savebox{\@emphEQ@Box}{\makebox[\@emphEQ@BoxWidth][c]{%
+            $\@emphEQ@Left$%
+            \kern-\eqnshift@
+            \usebox{\@emphEQ@Box}%
+            \kern-\eqnshift@
+            $\@emphEQ@Right$}}%
+    \fi
+\fi
+\if@emphEQ@alignat
+    \if@emphEQ@FLL
+        \savebox{\@emphEQ@Box}{\makebox[\@emphEQ@BoxWidth][l]{%
+            \if@emphEQ@shadowbox \kern.5\shadowsize \fi
+            $\@emphEQ@Left$%
+            \kern-.5\@emphEQ@boxtypelength
+            \kern-\@mathmargin
+            \kern-\@emphEQ@lwd
+            \usebox{\@emphEQ@Box}%
+            \kern\@mathmargin
+            \kern\@emphEQ@displaywidth
+            \kern-\linewidth
+            $\@emphEQ@Right$}}%
+    \fi
+    \if@emphEQ@FLR
+        \savebox{\@emphEQ@Box}{\makebox[\@emphEQ@BoxWidth][l]{%
+            \if@emphEQ@shadowbox \kern.5\shadowsize \fi
+            $\@emphEQ@Left$%
+            \kern-.5\@emphEQ@boxtypelength
+            \kern-\@mathmargin
+            \kern-\@emphEQ@lwd
+            \usebox{\@emphEQ@Box}%
+            \kern\@mathmargin
+            \kern\@emphEQ@displaywidth
+            \kern-\linewidth
+            \kern\@emphEQ@lwd
+            \kern.5\@emphEQ@boxtypelength
+            $\@emphEQ@Right$}}%
+    \fi
+    \if@emphEQ@L
+        \savebox{\@emphEQ@Box}{\makebox[\@emphEQ@BoxWidth][c]{%
+            $\@emphEQ@Left$%
+            \kern-\eqnshift@
+            \usebox{\@emphEQ@Box}%
+            \kern-\eqnshift@
+            $\@emphEQ@Right$}}%
+    \fi
+    \if@emphEQ@R
+        \savebox{\@emphEQ@Box}{\makebox[\@emphEQ@BoxWidth][c]{%
+            $\@emphEQ@Left$%
+            \kern-\eqnshift@
+            \usebox{\@emphEQ@Box}%
+            \kern-\eqnshift@
+            $\@emphEQ@Right$}}%
+    \fi
+\fi
+\if@emphEQ@gather
+    \if@emphEQ@FLL
+        \savebox{\@emphEQ@Box}{\makebox[\@emphEQ@BoxWidth][l]{%
+            \if@emphEQ@shadowbox \kern.5\shadowsize \fi
+            $\@emphEQ@Left$%
+            \kern-.5\@emphEQ@boxtypelength
+            \kern-\@mathmargin
+            \kern-\@emphEQ@lwd
+            \usebox{\@emphEQ@Box}%
+            \kern-\linewidth
+            \kern\@mathmargin
+            \kern\@emphEQ@displaywidth
+            $\@emphEQ@Right$}}%
+    \fi
+    \if@emphEQ@FLR
+        \savebox{\@emphEQ@Box}{\makebox[\@emphEQ@BoxWidth][l]{%
+            \if@emphEQ@shadowbox \kern.5\shadowsize
+            \fi
+            $\@emphEQ@Left$%
+            \kern-.5\@emphEQ@boxtypelength
+            \kern-\@mathmargin
+            \kern-\@emphEQ@lwd
+            \usebox{\@emphEQ@Box}%
+            \kern-\linewidth
+            \kern.5\@emphEQ@boxtypelength
+            \kern\@mathmargin
+            \kern\@emphEQ@displaywidth
+            \kern\@emphEQ@lwd
+            $\@emphEQ@Right$}}%
+    \fi
+    \if@emphEQ@L
+        \setlength{\tagwidth@}{\eqnshift@+\@emphEQ@rwd}%
+        \setlength{\@emphEQ@templength}{\linewidth-\totwidth@
+                                        -\eqnshift@}%
+        \savebox{\@emphEQ@Box}{\makebox[\@emphEQ@BoxWidth][c]{%
+            \ifdim\@emphEQ@templength<\tagwidth@
+                \setlength{\tagwidth@}{\@emphEQ@templength
+                                       +\@emphEQ@lwd}%
+                \ifdim\tagwidth@<\eqnshift@
+                    \kern-\@emphEQ@templength
+                    \kern\eqnshift@
+                \fi
+            \else
+                \kern-\@emphEQ@lwd
+                \kern\@emphEQ@rwd
+                \kern-\@emphEQ@templength
+                \kern\eqnshift@
+            \fi
+            $\@emphEQ@Left$%
+            \kern-\eqnshift@
+            \usebox{\@emphEQ@Box}%
+            %\kern-\eqnshift@
+            \kern-\@emphEQ@lwd
+            \kern\@emphEQ@rwd
+            \kern-\@emphEQ@templength
+            $\@emphEQ@Right$}}%
+    \fi
+    \if@emphEQ@R
+        \setlength{\tagwidth@}{\eqnshift@+\@emphEQ@rwd}%
+        \setlength{\@emphEQ@templength}{\linewidth-\totwidth@
+                                        -\eqnshift@}%
+        \savebox{\@emphEQ@Box}{\makebox[\@emphEQ@BoxWidth][c]{%
+            \kern-\@emphEQ@lwd
+            \kern\@emphEQ@rwd
+            \kern\@emphEQ@templength
+            \kern-\eqnshift@
+            $\@emphEQ@Left$%
+            \ifdim\@emphEQ@templength>\tagwidth@
+                \kern-\eqnshift@
+            \else
+                \kern\@emphEQ@lwd
+                \kern-\@emphEQ@rwd
+                \kern-\@emphEQ@templength
+            \fi
+            \usebox{\@emphEQ@Box}%
+            \kern-\eqnshift@
+            $\@emphEQ@Right$}}%
+    \fi
+\fi
+\if@emphEQ@multline
+    \if@emphEQ@FLL
+        \savebox{\@emphEQ@Box}{\makebox[\@emphEQ@displaywidth][l]{%
+            \if@emphEQ@shadowbox \kern.5\shadowsize \fi
+            $\@emphEQ@Left$%
+            \kern-.5\@emphEQ@boxtypelength
+            \kern-\@emphEQ@lwd
+            \if@emphEQ@NoNumEq
+                \if@emphEQ@shadowbox \kern-\shadowsize \fi
+                \kern-\@mathmargin
+            \else
+                \kern-\tagwidth@
+                \kern-\multlinetaggap
+            \fi
+            \usebox{\@emphEQ@Box}%
+            \kern-\@emphEQ@boxtypelength
+            \if@emphEQ@NoNumEq
+                \kern-\multlinegap
+            \else
+                \kern\multlinegap
+            \fi
+            \kern-\@emphEQ@rwd
+            \kern-\@emphEQ@lwd
+            \kern-\@mathmargin
+            $\@emphEQ@Right$}}%
+    \fi
+    \if@emphEQ@FLR
+        \savebox{\@emphEQ@Box}{\makebox[\@emphEQ@displaywidth][l]{%
+            \if@emphEQ@shadowbox \kern.5\shadowsize \fi
+            $\@emphEQ@Left$%
+            \kern-.5\@emphEQ@boxtypelength
+            \kern-\@emphEQ@lwd
+            \kern-\@mathmargin
+            \usebox{\@emphEQ@Box}%
+            \kern-\@emphEQ@boxtypelength
+            \kern-\@emphEQ@rwd
+            \kern-\@emphEQ@lwd
+            \if@emphEQ@NoNumEq
+                \kern-\multlinegap
+            \else
+                \kern-\multlinetaggap
+            \fi
+            \kern-\@mathmargin
+            \kern-\tagwidth@
+            $\@emphEQ@Right$}}%
+    \fi
+    \if@emphEQ@L
+        \savebox{\@emphEQ@Box}{\makebox[\@emphEQ@displaywidth][l]{%
+            \if@emphEQ@shadowbox \kern.5\shadowsize \fi
+            $\@emphEQ@Left$%
+            \kern-.5\@emphEQ@boxtypelength
+            \kern-\@emphEQ@lwd
+            \if@emphEQ@NoNumEq
+                \kern-\multlinegap
+                \kern.5\@emphEQ@lwd
+                \kern-.5\@emphEQ@rwd
+                \if@emphEQ@shadowbox \kern-.5\shadowsize \fi
+            \else
+                \kern-\multlinetaggap
+                \kern-\tagwidth@
+            \fi
+            \usebox{\@emphEQ@Box}%
+            \kern-.5\@emphEQ@boxtypelength
+            \if@emphEQ@NoNumEq
+                \kern.5\@emphEQ@rwd
+                \kern-.5\@emphEQ@lwd
+            \fi
+            \kern-\@emphEQ@rwd
+            \kern-\multlinegap
+            $\@emphEQ@Right$}}%
+    \fi
+    \if@emphEQ@R
+        \savebox{\@emphEQ@Box}{\makebox[\@emphEQ@displaywidth][l]{%
+            \if@emphEQ@shadowbox \kern.5\shadowsize \fi
+            $\@emphEQ@Left$%
+            \kern-.5\@emphEQ@boxtypelength
+            \if@emphEQ@NoNumEq
+                \if@emphEQ@shadowbox \kern-.5\shadowsize \fi
+                \kern-.5\@emphEQ@rwd
+                \kern.5\@emphEQ@lwd
+            \fi
+            \kern-\@emphEQ@lwd
+            \kern-\multlinegap
+            \usebox{\@emphEQ@Box}%
+            \kern-.5\@emphEQ@boxtypelength
+            \kern-\@emphEQ@rwd
+            \if@emphEQ@NoNumEq
+                \kern-\multlinegap
+                \kern-.5\@emphEQ@lwd
+                \kern.5\@emphEQ@rwd
+            \else
+                \kern-\multlinetaggap
+            \fi
+            \kern-\tagwidth@
+            $\@emphEQ@Right$}}%
+    \fi
+\fi
+\[
+    \if@emphEQ@align
+        \if@emphEQ@L
+            \kern-\alignsep@
+            \kern\eqnshift@
+        \fi
+    \fi
+    \if@emphEQ@gather
+        \if@emphEQ@L
+            \kern-\@emphEQ@templength
+            \kern\eqnshift@
+            \kern\@emphEQ@rwd
+            \kern-\@emphEQ@lwd
+        \fi
+        \if@emphEQ@R
+            \setlength{\tagwidth@}{\eqnshift@+\@emphEQ@rwd}%
+            \ifdim\@emphEQ@templength>\tagwidth@
+                \kern-\@emphEQ@templength
+                \kern\eqnshift@
+                \kern\@emphEQ@lwd
+            \else
+                \kern\@emphEQ@templength
+                \kern-\eqnshift@
+                \kern\@emphEQ@rwd
+                \kern-\@emphEQ@lwd
+            \fi
+        \fi
+    \fi
+    \if@emphEQ@multline
+        \if@emphEQ@NoNumEq
+            % naught
+        \else
+            \if@emphEQ@FLL
+                \kern-\@mathmargin
+                \kern\tagwidth@
+                \kern\multlinetaggap
+            \fi
+            \if@emphEQ@L
+                \kern\tagwidth@
+                \kern\multlinetaggap
+                \kern-\multlinegap
+            \fi
+            \if@emphEQ@R
+                \kern-\tagwidth@
+                \kern-\multlinetaggap
+                \kern\multlinegap
+            \fi
+        \fi
+    \else
+        \if@emphEQ@shadowbox
+            \if@emphEQ@R
+                \kern\shadowsize
+            \fi
+            \if@emphEQ@L
+                \kern\shadowsize
+            \fi
+        \fi
+    \fi
+        \@emphEQ@boxtype{\usebox{\@emphEQ@Box}}%
+        \gdef\@emphEQ@Left{}\gdef\@emphEQ@Right{}%
+        \gdef\@emphEQ@boxtype{}%
+    \]%
+    \ifnum0=`{\fi}%
+    \expandafter\end\expandafter{\@emphEQ@EnvName}%
+}
+\define@key{empheq}{boxtype}{\renewcommand\@emphEQ@boxtype{#1}}
+\define@key{empheq}{Left}{\def\@emphEQ@Left{#1}}
+\define@key{empheq}{Right}{\def\@emphEQ@Right{#1}}
+\newenvironment{empheq}[1][]{\setkeys{empheq}{#1}\@emphEQ@MainEnv}%
+                          {\end@emphEQ@MainEnv\ignorespacesafterend}%
+\newcommand{\DeclareLeftDelimiter}[2][\!]{%
+    \@namedef{empheq\expandafter\@gobble\string#2}{
+    \left#2
+    \vphantom{\usebox{\@emphEQ@Box}}%
+    \right.#1}}
+\newcommand{\DeclareRightDelimiter}[2][\!]{%
+    \@namedef{empheq\expandafter\@gobble\string#2}{%
+        #1\left.
+        \vphantom{\usebox{\@emphEQ@Box}}%
+        \right#2}}%
+\DeclareRightDelimiter{\rbrace}
+\DeclareLeftDelimiter{\lbrace}
+\endinput
+%%
+%% End of file `empheq07.sty'.
diff --git a/Master/texmf-dist/tex/latex/mh/mathtools.sty b/Master/texmf-dist/tex/latex/mh/mathtools.sty
new file mode 100644
index 00000000000..e91b6692726
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/mh/mathtools.sty
@@ -0,0 +1,1063 @@
+%%
+%% This is file `mathtools.sty',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% mathtools.dtx  (with options: `package')
+%% 
+%% It may be distributed and/or modified under the
+%% conditions of the LaTeX Project Public License, either version 1.3
+%% of this license or (at your option) any later version.
+%% The latest version of this license is in
+%%   http://www.latex-project.org/lppl.txt
+%% and version 1.3 or later is part of all distributions of LaTeX
+%% version 2003/12/01 or later.
+%% 
+%% This work has the LPPL maintenance status "maintained".
+%% 
+%% The Current Maintainer of this work is Morten H\o gholm.
+%% 
+%% This work consists of the files mathtools.dtx and mathtools.ins
+%% and the derived file mathtools.sty.
+%% 
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{mathtools}
+  [2004/10/10 v1.01a mathematical typesetting tools (MH)]
+\RequirePackage{keyval,calc}
+\RequirePackage{mhsetup}[2004/10/10]
+\MHInternalSyntaxOn
+\def\MT_options_name:{mathtools}
+\newcommand*\mathtoolsset[1]{\setkeys{\MT_options_name:}{#1}}
+\MH_new_boolean:n {fixamsmath}
+\DeclareOption{fixamsmath}{
+  \MH_set_boolean_T:n {fixamsmath}
+}
+\DeclareOption{donotfixamsmathbugs}{
+  \MH_set_boolean_F:n {fixamsmath}
+}
+\DeclareOption{allowspaces}{
+  \MH_let:NwN \MaybeMHPrecedingSpacesOff
+              \relax
+    \MH_let:NwN \MH_maybe_nospace_ifnextchar:Nnn \kernel@ifnextchar
+}
+\DeclareOption{disallowspaces}{
+  \MH_let:NwN \MaybeMHPrecedingSpacesOff
+              \MHPrecedingSpacesOff
+  \MH_let:NwN \MH_maybe_nospace_ifnextchar:Nnn \MH_nospace_ifnextchar:Nnn
+}
+\DeclareOption*{
+  \PassOptionsToPackage{\CurrentOption}{amsmath}
+}
+\ExecuteOptions{fixamsmath,disallowspaces}
+\ProcessOptions\relax
+\MHInternalSyntaxOff
+\RequirePackage{amsmath}[2000/07/18]
+\MHInternalSyntaxOn
+\AtEndOfPackage{\MHInternalSyntaxOff}
+\def\MT_true_false_error:{
+  \PackageError{mathtools}
+    {You~ have~ to~ select~ either~ `true'~ or~ `false'}
+    {I'll~ assume~ you~ chose~ `false'~ for~ now.}
+}
+\def\MT_define_tagform:nwnn #1[#2]#3#4{
+  \@namedef{MT_tagform_#1:n}##1
+    {\maketag@@@{#3\ignorespaces#2{##1}\unskip\@@italiccorr#4}}
+}
+\providecommand*\newtagform[1]{%
+  \@ifundefined{MT_tagform_#1:n}
+  {\@ifnextchar[%
+    {\MT_define_tagform:nwnn #1}%
+    {\MT_define_tagform:nwnn #1[]}%
+  }{\PackageError{mathtools}
+  {The~ tag~ form~ `#1'~ is~ already~ defined\MessageBreak
+  You~ probably~ want~ to~ look~ up~ \@backslashchar renewtagform~
+  instead}
+  {I~ will~ just~ ignore~ your~ wish~ for~ now.}}
+}
+\newtagform{default}{(}{)}
+\providecommand*\renewtagform[1]{%
+  \@ifundefined{MT_tagform_#1:n}
+  {\PackageError{mathtools}
+  {The~ tag~ form~ `#1'~ is~ not~ defined\MessageBreak
+  You~ probably~ want~ to~ look~ up~ \@backslashchar newtagform~ instead}
+  {I~ will~ just~ ignore~ your~ wish~ for~ now.}}
+  {\@ifnextchar[%
+    {\MT_define_tagform:nwnn #1}%
+    {\MT_define_tagform:nwnn #1[]}%
+  }
+}
+\providecommand*\usetagform[1]{%
+  \@ifundefined{MT_tagform_#1:n}
+    {
+      \PackageError{mathtools}{%
+        You~ have~ chosen~ the~ tag~ form~ `#1'\MessageBreak
+        but~ it~ appears~ to~ be~ undefined}
+        {I~ will~ use~ the~ default~ tag~ form~ instead.}%
+        \@namedef{tagform@}{\@nameuse{MT_tagform_default:n}}
+      }
+  { \@namedef{tagform@}{\@nameuse{MT_tagform_#1:n}} }
+  \MH_if_boolean:nT {show_only_refs}{
+    \MH_let:NwN \MT_prev_tagform:n \tagform@
+    \def\tagform@##1{\MT_extended_tagform:n {##1}}
+  }
+}
+\MH_new_boolean:n {manual_tag}
+\MH_new_boolean:n {raw_maketag}
+\MH_let:NwN \MT_AmS_tag_in_align: \tag@in@align
+\def\tag@in@align{
+  \global\MH_set_boolean_T:n {manual_tag}
+  \MT_AmS_tag_in_align:
+}
+\def\tag@in@display#1#{
+  \relax
+  \global\MH_set_boolean_T:n {manual_tag}
+  \tag@in@display@a{#1}
+}
+\def\MT_extended_tagform:n #1{
+  \MH_set_boolean_F:n {raw_maketag}
+  \if_meaning:NN \df@label\@empty
+    \MH_if_boolean:nT {manual_tag}
+      { \MH_if_boolean:nTF {show_manual_tags}
+        { \MT_prev_tagform:n {#1} }
+        { \stepcounter{equation}  }
+      }
+  \else:
+    \MH_if_boolean:nTF {manual_tag}
+      { \MH_if_boolean:nTF {show_manual_tags}
+          { \MT_prev_tagform:n {#1} }
+          { \@ifundefined{MT_r_\df@label}
+              {  }
+              { \MT_prev_tagform:n {#1} }
+          }
+      }
+      { \@ifundefined{MT_r_\df@label}
+          { }
+          { \refstepcounter{equation}\MT_prev_tagform:n {#1} }
+      }
+  \fi:
+  \global\MH_set_boolean_T:n {raw_maketag}
+}
+\def\MT_extended_maketag:n #1{
+  \ifx\df@label\@empty
+    \MT_maketag:n {#1}
+  \else:
+    \MH_if_boolean:nTF {raw_maketag}
+      {
+        \MH_if_boolean:nTF {show_manual_tags}
+          { \MT_maketag:n {#1} }
+          { \@ifundefined{MT_r_\df@label}
+              { }
+              { \MT_maketag:n {#1}     }
+          }
+      }
+      { \MT_maketag:n {#1} }
+  \fi:
+  \global\MH_set_boolean_F:n {manual_tag}
+}
+\def\MT_extended_eqref:n #1{
+  \protected@write\@auxout{}
+    {\string\MT@newlabel{#1}}
+  \textup{\MT_prev_tagform:n {\ref{#1}}}
+}
+\newcommand*\refeq[1]{
+  \textup{\ref{#1}}
+}
+\def\MT_extended_refeq:n #1{
+  \protected@write\@auxout{}
+    {\string\MT@newlabel{#1}}
+  \textup{\ref{#1}}
+}
+\newcommand*\MT@newlabel[1]{  \global\@namedef{MT_r_#1}{}  }
+\MH_new_boolean:n {show_only_refs}
+\MH_new_boolean:n {show_manual_tags}
+\define@key{\MT_options_name:}{showmanualtags}[true]{
+  \@ifundefined{boolean_show_manual_tags_#1:}
+    { \MT_true_false_error:
+      \@nameuse{boolean_show_manual_tags_false:}
+    }
+    { \@nameuse{boolean_show_manual_tags_#1:} }
+}
+\newcommand*\MT_showonlyrefs_true:{
+  \MH_if_boolean:nF {show_only_refs}{
+    \MH_set_boolean_T:n {show_only_refs}
+    \MH_let:NwN \MT_incr_eqnum: \incr@eqnum
+    \MH_let:NwN \incr@eqnum \@empty
+    \MH_let:NwN \MT_array_parbox_restore: \@arrayparboxrestore
+    \@xp\def\@xp\@arrayparboxrestore\@xp{\@arrayparboxrestore
+      \MH_let:NwN \incr@eqnum \@empty
+    }
+    \MH_let:NwN \MT_prev_tagform:n \tagform@
+    \MH_let:NwN \MT_eqref:n \eqref
+    \MH_let:NwN \MT_refeq:n \refeq
+    \MH_let:NwN \MT_maketag:n \maketag@@@
+    \MH_let:NwN \maketag@@@ \MT_extended_maketag:n
+    \def\tagform@##1{\MT_extended_tagform:n {##1}}
+    \MH_let:NwN \eqref \MT_extended_eqref:n
+    \MH_let:NwN \refeq \MT_extended_refeq:n
+  }
+}
+\def\MT_showonlyrefs_false: {
+  \MH_if_boolean:nT {show_only_refs}{
+    \MH_set_boolean_F:n {show_only_refs}
+    \MH_let:NwN \tagform@  \MT_prev_tagform:n
+    \MH_let:NwN \eqref \MT_eqref:n
+    \MH_let:NwN \refeq \MT_refeq:n
+    \MH_let:NwN \maketag@@@ \MT_maketag:n
+    \MH_let:NwN \incr@eqnum \MT_incr_eqnum:
+    \MH_let:NwN \@arrayparboxrestore \MT_array_parbox_restore:
+  }
+}
+\define@key{\MT_options_name:}{showonlyrefs}[true]{
+  \@nameuse{MT_showonlyrefs_#1:}
+}
+\renewcommand\nonumber{
+  \if@eqnsw
+    \if_meaning:NN \incr@eqnum\@empty
+      \MH_if_boolean:nF {show_only_refs}
+        {\addtocounter{equation}\m@ne}
+    \fi:
+  \fi:
+  \MH_let:NwN \print@eqnum\@empty \MH_let:NwN \incr@eqnum\@empty
+  \global\@eqnswfalse
+}
+\providecommand*\xleftrightarrow[2][]{%
+  \ext@arrow 3095\MT_leftrightarrow_fill:{#1}{#2}}
+\def\MT_leftrightarrow_fill:{%
+  \arrowfill@\leftarrow\relbar\rightarrow}
+\providecommand*\xLeftarrow[2][]{%
+  \ext@arrow 0055{\Leftarrowfill@}{#1}{#2}}
+\providecommand*\xRightarrow[2][]{%
+  \ext@arrow 0055{\Rightarrowfill@}{#1}{#2}}
+\providecommand*\xLeftrightarrow[2][]{%
+  \ext@arrow 0055{\Leftrightarrowfill@}{#1}{#2}}
+\def\MT_rightharpoondown_fill:{%
+  \arrowfill@\relbar\relbar\rightharpoondown}
+\def\MT_rightharpoonup_fill:{%
+  \arrowfill@\relbar\relbar\rightharpoonup}
+\def\MT_leftharpoondown_fill:{%
+  \arrowfill@\leftharpoondown\relbar\relbar}
+\def\MT_leftharpoonup_fill:{%
+  \arrowfill@\leftharpoonup\relbar\relbar}
+\providecommand*\xrightharpoondown[2][]{%
+  \ext@arrow 0359\MT_rightharpoondown_fill:{#1}{#2}}
+\providecommand*\xrightharpoonup[2][]{%
+  \ext@arrow 0359\MT_rightharpoonup_fill:{#1}{#2}}
+\providecommand*\xleftharpoondown[2][]{%
+  \ext@arrow 3095\MT_leftharpoondown_fill:{#1}{#2}}
+\providecommand*\xleftharpoonup[2][]{%
+  \ext@arrow 3095\MT_leftharpoonup_fill:{#1}{#2}}
+\providecommand*\xleftrightharpoons[2][]{\mathrel{%
+  \raise.22ex\hbox{%
+    $\ext@arrow 3095\MT_leftharpoonup_fill:{\phantom{#1}}{#2}$}%
+  \setbox0=\hbox{%
+    $\ext@arrow 0359\MT_rightharpoondown_fill:{#1}{\phantom{#2}}$}%
+  \kern-\wd0 \lower.22ex\box0}}
+\providecommand*\xrightleftharpoons[2][]{\mathrel{%
+  \raise.22ex\hbox{%
+    $\ext@arrow 3095\MT_rightharpoonup_fill:{\phantom{#1}}{#2}$}%
+  \setbox0=\hbox{%
+    $\ext@arrow 0359\MT_leftharpoondown_fill:{#1}{\phantom{#2}}$}%
+  \kern-\wd0 \lower.22ex\box0}}
+\providecommand*\xhookleftarrow[2][]{%
+  \ext@arrow 3095\MT_hookleft_fill:{#1}{#2}}
+\def\MT_hookleft_fill:{%
+  \arrowfill@\leftarrow\relbar{\relbar\joinrel\rhook}}
+\providecommand*\xhookrightarrow[2][]{%
+  \ext@arrow 3095\MT_hookright_fill:{#1}{#2}}
+\def\MT_hookright_fill:{%
+  \arrowfill@{\lhook\joinrel\relbar}\relbar\rightarrow}
+\providecommand*\xmapsto[2][]{%
+  \ext@arrow 0395\MT_mapsto_fill:{#1}{#2}}
+\def\MT_mapsto_fill:{%
+  \arrowfill@{\mapstochar\relbar}\relbar\rightarrow}
+\providecommand*\underbracket{
+  \@ifnextchar[
+    {\MT_underbracket_I:w}
+    {\MT_underbracket_I:w[\l_MT_bracketheight_fdim]}}
+\def\MT_underbracket_I:w[#1]{
+  \@ifnextchar[
+    {\MT_underbracket_II:w[#1]}
+    {\MT_underbracket_II:w[#1][.7\fontdimen5\textfont2]}}
+\def\MT_underbracket_II:w[#1][#2]#3{%
+  \mathop{\vtop{\m@th\ialign{##
+    \crcr
+      $\hfil\displaystyle{#3}\hfil$%
+    \crcr
+      \noalign{\kern .2\fontdimen5\textfont2 \nointerlineskip}%
+      \upbracketfill {#1}{#2}%
+    \crcr}}}
+  \limits}
+\def\upbracketfill#1#2{%
+  \sbox\z@{$\braceld$}
+  \edef\l_MT_bracketheight_fdim{\the\ht\z@}%
+  \upbracketend{#1}{#2}
+  \leaders \vrule \@height \z@ \@depth #1 \hfill
+  \upbracketend{#1}{#2}%
+}
+\def\upbracketend#1#2{\vrule \@height #2 \@width #1\relax}
+\providecommand*\overbracket{
+  \@ifnextchar[
+    {\MT_overbracket_I:w}
+    {\MT_overbracket_I:w[\l_MT_bracketheight_fdim]}}
+\def\MT_overbracket_I:w[#1]{
+  \@ifnextchar[
+    {\MT_overbracket_II:w[#1]}
+    {\MT_overbracket_II:w[#1][.7\fontdimen5\textfont2]}}
+\def\MT_overbracket_II:w[#1][#2]#3{%
+  \mathop{\vbox{\m@th\ialign{##
+        \crcr
+          \downbracketfill{#1}{#2}%
+        \crcr
+          \noalign{\kern .2\fontdimen5\textfont2 \nointerlineskip}%
+          $\hfil\displaystyle{#3}\hfil$
+        \crcr}}}%
+  \limits}
+\def\downbracketfill#1#2{%
+  \sbox\z@{$\braceld$}\edef\l_MT_bracketheight_fdim{\the\ht\z@}
+  \downbracketend{#1}{#2}
+  \leaders \vrule \@height #1 \@depth \z@ \hfill
+  \downbracketend{#1}{#2}%
+}
+\def\downbracketend#1#2{\vrule \@width #1\@depth #2\relax}
+\MH_let:NwN \LaTeXunderbrace \underbrace
+\def\underbrace#1{\mathop{\vtop{\m@th\ialign{##\crcr
+   $\hfil\displaystyle{#1}\hfil$\crcr
+   \noalign{\kern.7\fontdimen5\textfont2\nointerlineskip}%
+   \upbracefill\crcr\noalign{\kern.5\fontdimen5\textfont2}}}}\limits}
+\MH_let:NwN \LaTeXoverbrace \overbrace
+\def\overbrace#1{\mathop{\vbox{\m@th\ialign{##\crcr
+  \noalign{\kern.5\fontdimen5\textfont2}%
+  \downbracefill\crcr
+  \noalign{\kern.7\fontdimen5\textfont2\nointerlineskip}%
+  $\hfil\displaystyle{#1}\hfil$\crcr}}}\limits}
+\providecommand*\lparen{(}
+\providecommand*\rparen{)}
+
+\def\vcentcolon{\mathrel{\mathop\ordinarycolon}}
+\begingroup
+  \catcode`\:=\active
+  \lowercase{\endgroup
+    \ifnum\mathcode`\:=32768\relax
+      \let\ordinarycolon= :%
+    \else
+      \mathchardef\ordinarycolon\mathcode`\: %
+    \fi
+    \let :\vcentcolon
+  }
+\MH_new_boolean:n {center_colon}
+\define@key{\MT_options_name:}{centercolon}[true]{
+  \@ifundefined{MT_active_colon_#1:}
+    { \MT_true_false_error:n
+      \@nameuse{MT_active_colon_false:}
+    }
+    { \@nameuse{MT_active_colon_#1:} }
+}
+\def\MT_active_colon_true: {
+  \MH_if_boolean:nF {center_colon}{
+    \MH_set_boolean_T:n {center_colon}
+    \edef\MT_active_colon_false:
+      {\mathcode`\noexpand\:=\the\mathcode`\:\relax}
+    \mathcode`\:=32768
+  }
+}
+\AtBeginDocument{
+  \providecommand*\dblcolon{\vcentcolon\mkern-.9mu\vcentcolon}
+  \providecommand*\coloneqq{\vcentcolon\mkern-1.2mu=}
+  \providecommand*\Coloneqq{\dblcolon\mkern-1.2mu=}
+  \providecommand*\coloneq{\vcentcolon\mkern-1.2mu\mathrel{-}}
+  \providecommand*\Coloneq{\dblcolon\mkern-1.2mu\mathrel{-}}
+  \providecommand*\eqqcolon{=\mkern-1.2mu\vcentcolon}
+  \providecommand*\Eqqcolon{=\mkern-1.2mu\dblcolon}
+  \providecommand*\eqcolon{\mathrel{-}\mkern-1.2mu\vcentcolon}
+  \providecommand*\Eqcolon{\mathrel{-}\mkern-1.2mu\dblcolon}
+  \providecommand*\colonapprox{\vcentcolon\mkern-1.2mu\approx}
+  \providecommand*\Colonapprox{\dblcolon\mkern-1.2mu\approx}
+  \providecommand*\colonsim{\vcentcolon\mkern-1.2mu\sim}
+  \providecommand*\Colonsim{\dblcolon\mkern-1.2mu\sim}
+}
+\MH_new_boolean:n {mult_firstline}
+\MH_new_boolean:n {outer_mult}
+\newcount\g_MT_multlinerow_int
+\newdimen\l_MT_multwidth_dim
+\newcommand*\MT_test_for_tcb_other:nnnnn [1]{
+  \if:w t#1\relax
+    \expandafter\MH_use_choice_i:nnnn
+  \else:
+    \if:w c#1\relax
+      \expandafter\expandafter\expandafter\MH_use_choice_ii:nnnn
+    \else:
+      \if:w b#1\relax
+        \expandafter\expandafter\expandafter
+        \expandafter\expandafter\expandafter\expandafter
+        \MH_use_choice_iii:nnnn
+      \else:
+        \expandafter\expandafter\expandafter
+        \expandafter\expandafter\expandafter\expandafter
+        \MH_use_choice_iv:nnnn
+      \fi:
+    \fi:
+  \fi:
+}
+\def\MT_mult_invisible_line: {
+  \crcr
+  \global\MH_set_boolean_F:n {mult_firstline}
+  \hbox to \l_MT_multwidth_dim{}\crcr
+  \noalign{\vskip-\baselineskip \vskip-\normallineskip}
+}
+\def\MT_mult_mathcr_atat:w [#1]{%
+  \if_num:w 0=`{\fi: \iffalse}\fi:
+  \MH_if_boolean:nT {mult_firstline}{
+    \kern\l_MT_mult_left_fdim
+    \MT_mult_invisible_line:
+  }
+  \crcr
+  \noalign{\vskip#1\relax}
+  \global\advance\g_MT_multlinerow_int\@ne
+  \if_num:w \g_MT_multlinerow_int=\l_MT_multline_lastline_fint
+    \MH_let:NwN \math@cr@@\MT_mult_last_mathcr:w
+  \fi:
+}
+\def\MT_mult_firstandlast_mathcr:w [#1]{%
+  \if_num:w 0=`{\fi: \iffalse}\fi:
+  \kern\l_MT_mult_left_fdim
+  \MT_mult_invisible_line:
+  \noalign{\vskip#1\relax}
+  \kern\l_MT_mult_right_fdim
+}
+\def\MT_mult_last_mathcr:w [#1]{
+  \if_num:w 0=`{\fi: \iffalse}\fi:\math@cr@@@
+  \noalign{\vskip#1\relax}
+  \kern\l_MT_mult_right_fdim}
+\newcommand\MT_start_mult:N [1]{
+  \MT_test_for_tcb_other:nnnnn {#1}
+    { \MH_let:NwN \MT_next:\vtop }
+    { \MH_let:NwN \MT_next:\vcenter }
+    { \MH_let:NwN \MT_next:\vbox }
+    {
+      \PackageError{mathtools}
+        {Invalid~ position~ specifier.~ I'll~ try~ to~ recover~ with~
+        `c'}\@ehc
+    }
+  \collect@body\MT_mult_internal:n
+}
+\newcommand*\MT_shoveright:wn [2][0pt]{%
+  #2\hfilneg
+  \setlength\@tempdima{#1}
+  \kern\@tempdima
+}
+\newcommand*\MT_shoveleft:wn [2][0pt]{%
+  \hfilneg
+  \setlength\@tempdima{#1}
+  \kern\@tempdima
+  #2
+}
+\newcommand*\MT_mult_internal:n [1]{
+ \MH_if_boolean:nF {outer_mult}{\null\,}
+  \MT_next:
+  \bgroup
+    \Let@
+    \def\l_MT_multline_lastline_fint{0 }
+    \chardef\dspbrk@context\@ne \restore@math@cr
+    \MH_let:NwN \math@cr@@\MT_mult_mathcr_atat:w
+    \MH_let:NwN \shoveleft\MT_shoveleft:wn
+    \MH_let:NwN \shoveright\MT_shoveright:wn
+    \spread@equation
+    \MH_set_boolean_F:n {mult_firstline}
+    \MT_measure_mult:n {#1}
+    \if_dim:w \l_MT_multwidth_dim<\l_MT_multline_measure_fdim
+      \MH_setlength:dn \l_MT_multwidth_dim{\l_MT_multline_measure_fdim}
+    \fi
+    \MH_set_boolean_T:n {mult_firstline}
+    \if_num:w \l_MT_multline_lastline_fint=\@ne
+      \MH_let:NwN \math@cr@@ \MT_mult_firstandlast_mathcr:w
+    \fi:
+    \ialign\bgroup
+      \hfil\strut@$\m@th\displaystyle{}##$\hfil
+      \crcr
+      \hfilneg
+      #1
+}
+\newcommand\MT_measure_mult:n [1]{
+  \begingroup
+    \g_MT_multlinerow_int\@ne
+    \MH_let:NwN \label\MT_gobblelabel:w
+    \MH_let:NwN \tag\gobble@tag
+    \setbox\z@\vbox{
+      \ialign{\strut@$\m@th\displaystyle{}##$
+        \crcr
+        #1
+        \crcr
+      }
+    }
+    \xdef\l_MT_multline_measure_fdim{\the\wdz@}
+    \advance\g_MT_multlinerow_int\m@ne
+    \xdef\l_MT_multline_lastline_fint{\number\g_MT_multlinerow_int}
+  \endgroup
+  \g_MT_multlinerow_int\@ne
+}
+\MaybeMHPrecedingSpacesOff
+\newcommand*\MT_multlined_second_arg:w [1][\@empty]{
+  \MT_test_for_tcb_other:nnnnn {#1}
+    {\def\MT_mult_default_pos:{#1}}
+    {\def\MT_mult_default_pos:{#1}}
+    {\def\MT_mult_default_pos:{#1}}
+    {
+      \if_meaning:NN \@empty#1\@empty
+      \else:
+        \setlength \l_MT_multwidth_dim{#1}
+      \fi:
+    }
+  \MT_start_mult:N \MT_mult_default_pos:
+}
+\newenvironment{multlined}[1][]
+  {
+  \MT_test_for_tcb_other:nnnnn {#1}
+    {\def\MT_mult_default_pos:{#1}}
+    {\def\MT_mult_default_pos:{#1}}
+    {\def\MT_mult_default_pos:{#1}}
+    {
+      \if_meaning:NN \@empty#1\@empty
+      \else:
+        \setlength \l_MT_multwidth_dim{#1}
+      \fi:
+    }
+    \MT_multlined_second_arg:w
+  }
+  {
+    \hfilneg  \endaligned
+  }
+\MHPrecedingSpacesOn
+\define@key{\MT_options_name:}
+  {firstline-afterskip}{\def\l_MT_mult_left_fdim{#1}}
+\define@key{\MT_options_name:}
+  {lastline-preskip}{\def\l_MT_mult_right_fdim{#1}}
+\define@key{\MT_options_name:}
+  {multlined-width}{\setlength \l_MT_multwidth_dim{#1}}
+\define@key{\MT_options_name:}
+  {multlined-pos}{\def\MT_mult_default_pos:{#1}}
+\setkeys{\MT_options_name:}{
+  firstline-afterskip=\multlinegap,
+  lastline-preskip=\multlinegap,
+  multlined-width=0pt,
+  multlined-pos=c,
+}
+\def\MT_gobblelabel:w #1{}
+\newcommand*\DeclarePairedDelimiter[3]{%
+  \@ifdefinable{#1}{
+    \edef\MT_next: {\MH_cs_to_str:N #1}
+    \@namedef{MT_delim_\MT_next: _star:}##1
+        {\left#2 ##1 \right #3}%
+    \@xp\@xp\@xp
+      \newcommand
+        \@xp\csname MT_delim_\MT_next: _nostar:\endcsname[2][\\@gobble]
+        { \edef\MT_next: {\MH_cs_to_str:N ##1}
+          \@nameuse {\MT_next: l} #2 ##2 \@nameuse {\MT_next: r} #3}
+    \newcommand{#1}{
+      \@ifstar
+        {\@nameuse{MT_delim_\MH_cs_to_str:N #1 _star:}}
+        {\@nameuse{MT_delim_\MH_cs_to_str:N #1 _nostar:}}
+    }
+  }
+}
+\def\MT_start_cases:nn #1#2{
+  \RIfM@\else
+      \nonmatherr@{\begin{\@currenvir}}%
+  \fi
+  \left\lbrace
+  \vcenter \bgroup
+      \Let@ \chardef\dspbrk@context\@ne \restore@math@cr
+      \spread@equation
+      \ialign\bgroup
+        \strut@$\m@th\displaystyle{##}$\hfil&#1\strut@
+        #2
+        \crcr
+}
+\newcommand*\newcases[3]{
+  \newenvironment{#1}
+    {\MT_start_cases:nn {#2}{#3}}
+    {\endaligned\right.}
+}
+\newcommand*\renewcases[3]{
+  \renewenvironment{#1}
+    {\MT_start_cases:nn {#2}{#3}}
+    {\endaligned\right.}
+}
+\newcases{dcases}{\quad}{$\m@th\displaystyle{##}$\hfil}
+\newcases{dcases*}{\quad}{{##}\hfil}
+\def\MT_matrix_begin:N #1{%
+  \hskip -\arraycolsep
+  \MH_let:NwN \@ifnextchar \MH_nospace_ifnextchar:Nnn
+  \array{*\c@MaxMatrixCols #1}}
+\def\MT_matrix_end:{\endarray \hskip -\arraycolsep}
+\MaybeMHPrecedingSpacesOff
+\newenvironment{matrix*}[1][c]
+  {\MT_matrix_begin:N #1}
+  {\MT_matrix_end:}
+\newenvironment{pmatrix*}[1][c]
+  {\left(\MT_matrix_begin:N #1}
+  {\MT_matrix_end:\right)}
+\newenvironment{bmatrix*}[1][c]
+  {\left[\MT_matrix_begin:N #1}
+  {\MT_matrix_end:\right]}
+\newenvironment{Bmatrix*}[1][c]
+  {\left\lbrace\MT_matrix_begin:N #1}
+  {\MT_matrix_end:\right\rbrace}
+\newenvironment{vmatrix*}[1][c]
+  {\left\lvert\MT_matrix_begin:N #1}
+  {\MT_matrix_end:\right\rvert}
+\newenvironment{Vmatrix*}[1][c]
+  {\left\lVert\MT_matrix_begin:N #1}
+  {\MT_matrix_end:\right\lVert}
+\MHPrecedingSpacesOn
+\newcommand*\smashoperator[2][lr]{
+  \def\MT_smop_use:NNNNN {\@nameuse{MT_smop_smash_#1:NNNNN}}
+  \toks@{#2}
+  \expandafter\MT_smop_get_args:wwwNnNn
+    \the\toks@\@nil\@nil\@nil\@nil\@nil\@nil\@@nil
+}
+\def\MT_smop_remove_nil_vi:N #1\@nil\@nil\@nil\@nil\@nil\@nil{#1}
+\def\MT_smop_mathop:n {\mathop}
+\def\MT_smop_limits: {\limits}
+\MH_new_boolean:n {smop_one}
+\MH_new_boolean:n {smop_two}
+\def\MT_smop_get_args:wwwNnNn #1#2#3#4#5#6#7\@@nil{%
+  \begingroup
+    \def\MT_smop_arg_A: {#1} \def\MT_smop_arg_B: {#2}
+    \def\MT_smop_arg_C: {#3} \def\MT_smop_arg_D: {#4}
+    \def\MT_smop_arg_E: {#5} \def\MT_smop_arg_F: {#6}
+    \def\MT_smop_arg_G: {#7}
+    \if_meaning:NN \MT_smop_arg_A: \MT_smop_mathop:n
+      \if_meaning:NN \MT_smop_arg_C:\MT_smop_limits:
+        \def\MT_smop_final_arg_A:{#1{#2}}%
+        \if_meaning:NN \MT_smop_arg_D: \@nnil
+        \else:
+          \MH_set_boolean_T:n {smop_one}
+          \MH_let:NwN \MT_smop_final_arg_B: \MT_smop_arg_D:
+          \MH_let:NwN \MT_smop_final_arg_C: \MT_smop_arg_E:
+          \if_meaning:NN \MT_smop_arg_F: \@nnil
+          \else:
+            \MH_set_boolean_T:n {smop_two}
+            \MH_let:NwN \MT_smop_final_arg_D: \MT_smop_arg_F:
+            \edef\MT_smop_final_arg_E:
+              {\expandafter\MT_smop_remove_nil_vi:N \MT_smop_arg_G: }
+          \fi:
+        \fi:
+      \else:
+        \def\MT_smop_final_arg_A:{#1{#2}}%
+        \if_meaning:NN \MT_smop_arg_D: \@nnil
+        \else:
+          \MH_set_boolean_T:n {smop_one}
+          \MH_let:NwN \MT_smop_final_arg_B: \MT_smop_arg_C:
+          \MH_let:NwN \MT_smop_final_arg_C: \MT_smop_arg_D:
+          \if_meaning:NN \MT_smop_arg_F: \@nnil
+          \else:
+            \MH_set_boolean_T:n {smop_two}
+            \MH_let:NwN \MT_smop_final_arg_D: \MT_smop_arg_E:
+            \MH_let:NwN \MT_smop_final_arg_E: \MT_smop_arg_F:
+          \fi:
+        \fi:
+      \fi:
+    \else:
+      \if_meaning:NN \MT_smop_arg_B:\MT_smop_limits:
+        \def\MT_smop_final_arg_A:{#1}%
+        \if_meaning:NN \MT_smop_arg_D: \@nnil
+        \else:
+          \MH_set_boolean_T:n {smop_one}
+          \MH_let:NwN \MT_smop_final_arg_B: \MT_smop_arg_C:
+          \MH_let:NwN \MT_smop_final_arg_C: \MT_smop_arg_D:
+          \if_meaning:NN \MT_smop_arg_F: \@nnil
+          \else:
+            \MH_set_boolean_T:n {smop_two}
+            \MH_let:NwN \MT_smop_final_arg_D: \MT_smop_arg_E:
+            \MH_let:NwN \MT_smop_final_arg_E: \MT_smop_arg_F:
+          \fi:
+        \fi:
+      \else:
+        \def\MT_smop_final_arg_A:{#1}%
+        \if_meaning:NN \MT_smop_arg_C: \@nnil
+        \else:
+          \MH_set_boolean_T:n {smop_one}
+          \MH_let:NwN \MT_smop_final_arg_B: \MT_smop_arg_B:
+          \MH_let:NwN \MT_smop_final_arg_C: \MT_smop_arg_C:
+          \if_meaning:NN \MT_smop_arg_D: \@nnil
+          \else:
+            \MH_set_boolean_T:n {smop_two}
+            \MH_let:NwN \MT_smop_final_arg_D: \MT_smop_arg_D:
+            \MH_let:NwN \MT_smop_final_arg_E: \MT_smop_arg_E:
+          \fi:
+        \fi:
+      \fi:
+    \fi:
+    \MH_if_boolean:nT {smop_one}{
+      \MT_smop_measure:NNNNN
+      \MT_smop_final_arg_A: \MT_smop_final_arg_B: \MT_smop_final_arg_C:
+      \MT_smop_final_arg_D: \MT_smop_final_arg_E:
+    }
+    \MT_smop_use:NNNNN
+      \MT_smop_final_arg_A: \MT_smop_final_arg_B: \MT_smop_final_arg_C:
+      \MT_smop_final_arg_D: \MT_smop_final_arg_E:
+  \endgroup
+}
+\def\MT_smop_needed_args:NNNNN #1#2#3#4#5{%
+  \displaystyle #1
+  \MH_if_boolean:nT {smop_one}{
+    \limits#2{\MT_cramped_clap_internal:Nn \scriptstyle{#3}}
+    \MH_if_boolean:nT {smop_two}{
+      #4{\MT_cramped_clap_internal:Nn \scriptstyle{#5}}
+    }
+  }
+}
+\def\MT_smop_measure:NNNNN #1#2#3#4#5{%
+  \MH_let:NwN \MT_saved_mathclap:Nn \MT_cramped_clap_internal:Nn
+  \MH_let:NwN \MT_cramped_clap_internal:Nn \@secondoftwo
+  \sbox\z@{$\m@th\MT_smop_needed_args:NNNNN #1#2#3#4#5$}
+  \MH_let:NwN \MT_cramped_clap_internal:Nn \MT_saved_mathclap:Nn
+  \sbox\tw@{$\m@th\displaystyle#1$}
+  \@tempdima=.5\wd0
+  \advance\@tempdima-.5\wd2
+}
+\def\MT_smop_smash_l:NNNNN #1#2#3#4#5{
+  \MT_smop_needed_args:NNNNN #1#2#3#4#5\kern\@tempdima
+}
+\def\MT_smop_smash_r:NNNNN #1#2#3#4#5{
+  \kern\@tempdima\MT_smop_needed_args:NNNNN #1#2#3#4#5
+}
+\def\MT_smop_smash_lr:NNNNN #1#2#3#4#5{
+  \MT_smop_needed_args:NNNNN #1#2#3#4#5
+}
+\def\MT_vphantom:Nn {\v@true\h@false\MT_internal_phantom:N}
+\def\MT_hphantom:Nn {\v@false\h@true\MT_internal_phantom:N}
+\def\MT_phantom:Nn {\v@true\h@true\MT_internal_phantom:N}
+\def\MT_internal_phantom:N #1{
+  \ifmmode
+    \expandafter\mathph@nt\expandafter#1
+  \else
+    \expandafter\makeph@nt
+  \fi
+}
+\newcommand*\adjustlimits[6]{
+  \sbox\z@{$\m@th \displaystyle #1$}
+  \sbox\tw@{$\m@th \displaystyle #4$}
+  \@tempdima=\dp\z@ \advance\@tempdima-\dp\tw@
+  \if_dim:w \@tempdima>\z@
+    \mathop{#1}\limits#2{#3}
+  \else:
+    \mathop{#1\MT_vphantom:Nn \displaystyle{#4}}\limits
+    #2{
+        \def\finsm@sh{\ht\z@\z@ \box\z@}
+        \mathsm@sh\scriptstyle{\MT_cramped_internal:Nn \scriptstyle{#3}}
+        \MT_vphantom:Nn \scriptstyle
+          {\MT_cramped_internal:Nn \scriptstyle{#6}}
+    }
+  \fi:
+  \if_dim:w \@tempdima>\z@
+    \mathop{#4\MT_vphantom:Nn \displaystyle{#1}}\limits
+    #5
+    {
+      \MT_vphantom:Nn \scriptstyle
+        {\MT_cramped_internal:Nn \scriptstyle{#3}}
+      \def\finsm@sh{\ht\z@\z@ \box\z@}
+      \mathsm@sh\scriptstyle{\MT_cramped_internal:Nn \scriptstyle{#6}}
+    }
+  \else:
+    \mathop{#4}\limits#5{#6}
+  \fi:
+}
+\def\shortintertext#1{%
+  \ifvmode\else\\\@empty\fi
+  \noalign{%
+    \penalty\postdisplaypenalty\vskip\abovedisplayshortskip
+    \vbox{\normalbaselines
+      \if_dim:w \linewidth=\columnwidth
+      \else:
+        \parshape\@ne \@totalleftmargin \linewidth
+      \fi:
+      \noindent#1\par}%
+    \penalty\predisplaypenalty\vskip\abovedisplayshortskip%
+  }%
+}
+\providecommand*\clap[1]{\hb@xt@\z@{\hss#1\hss}}
+\providecommand*\mathllap[1][\@empty]{
+  \ifx\@empty#1\@empty
+    \expandafter \mathpalette \expandafter \MT_mathllap:Nn
+  \else
+    \expandafter \MT_mathllap:Nn \expandafter #1
+  \fi
+}
+\providecommand*\mathrlap[1][\@empty]{
+  \ifx\@empty#1\@empty
+    \expandafter \mathpalette \expandafter \MT_mathrlap:Nn
+  \else
+    \expandafter \MT_mathrlap:Nn \expandafter #1
+  \fi
+}
+\providecommand*\mathclap[1][\@empty]{
+  \ifx\@empty#1\@empty
+    \expandafter \mathpalette \expandafter \MT_mathclap:Nn
+  \else
+    \expandafter \MT_mathclap:Nn \expandafter #1
+  \fi
+}
+\def\MT_mathllap:Nn #1#2{{}\llap{$\m@th#1{#2}$}}
+\def\MT_mathrlap:Nn #1#2{{}\rlap{$\m@th#1{#2}$}}
+\def\MT_mathclap:Nn #1#2{{}\clap{$\m@th#1{#2}$}}
+\providecommand*\mathmbox{\mathpalette\MT_mathmbox:nn}
+\def\MT_mathmbox:nn #1#2{\mbox{$\m@th#1#2$}}
+\providecommand*\mathmakebox{
+  \@ifnextchar[  \MT_mathmakebox_I:w
+                 \mathmbox}
+\def\MT_mathmakebox_I:w[#1]{%
+  \@ifnextchar[  {\MT_mathmakebox_II:w[#1]}
+                 {\MT_mathmakebox_II:w[#1][c]}}
+\def\MT_mathmakebox_II:w[#1][#2]{
+  \mathpalette{\MT_mathmakebox_III:w[#1][#2]}}
+\def\MT_mathmakebox_III:w[#1][#2]#3#4{%
+  \@begin@tempboxa\hbox{$\m@th#3#4$}%
+    \setlength\@tempdima{#1}%
+    \hbox{\hb@xt@\@tempdima{\csname bm@#2\endcsname}}%
+  \@end@tempboxa}
+\def\mathsm@sh#1#2{%
+  \setbox\z@\hbox{$\m@th#1{#2}$}{}\finsm@sh}
+\providecommand*\cramped[1][\@empty]{
+  \ifx\@empty#1\@empty
+    \expandafter \mathpalette \expandafter \MT_cramped_internal:Nn
+  \else
+    \expandafter \MT_cramped_internal:Nn \expandafter #1
+  \fi
+}
+\def\MT_cramped_internal:Nn #1#2{
+  \sbox\z@{$\m@th#1\nulldelimiterspace=\z@\radical\z@{#2}$}
+    \ifx#1\displaystyle
+      \dimen@=\fontdimen8\textfont3
+      \advance\dimen@ .25\fontdimen5\textfont2
+    \else
+      \dimen@=1.25\fontdimen8
+      \ifx#1\textstyle\textfont
+      \else
+        \ifx#1\scriptstyle
+          \scriptfont
+        \else
+          \scriptscriptfont
+        \fi
+      \fi
+      3
+    \fi
+    \advance\dimen@-\ht\z@ \ht\z@=-\dimen@
+    \box\z@
+}
+\providecommand*\crampedllap[1][\@empty]{
+  \ifx\@empty#1\@empty
+    \expandafter \mathpalette \expandafter \MT_cramped_llap_internal:Nn
+  \else
+    \expandafter \MT_cramped_llap_internal:Nn \expandafter #1
+  \fi
+}
+\def\MT_cramped_llap_internal:Nn #1#2{
+  {}\llap{\MT_cramped_internal:Nn #1{#2}}
+}
+\providecommand*\crampedclap[1][\@empty]{
+  \ifx\@empty#1\@empty
+    \expandafter \mathpalette \expandafter \MT_cramped_clap_internal:Nn
+  \else
+    \expandafter \MT_cramped_clap_internal:Nn \expandafter #1
+  \fi
+}
+\def\MT_cramped_clap_internal:Nn #1#2{
+  {}\clap{\MT_cramped_internal:Nn #1{#2}}
+}
+\providecommand*\crampedrlap[1][\@empty]{
+  \ifx\@empty#1\@empty
+    \expandafter \mathpalette \expandafter \MT_cramped_rlap_internal:Nn
+  \else
+    \expandafter \MT_cramped_rlap_internal:Nn \expandafter #1
+  \fi
+}
+\def\MT_cramped_rlap_internal:Nn #1#2{
+  {}\rlap{\MT_cramped_internal:Nn #1{#2}}
+}
+\DeclareRobustCommand{\prescript}[3]{
+  \@mathmeasure\z@\scriptstyle{\MT_prescript_sup:{#1}}
+  \@mathmeasure\tw@\scriptstyle{\MT_prescript_sub:{#2}}
+  \if_dim:w \wd\tw@>\wd\z@
+    \setbox\z@\hbox to\wd\tw@{\hfil\unhbox\z@}
+  \else:
+    \setbox\tw@\hbox to\wd\z@{\hfil\unhbox\tw@}
+  \fi:
+  \mathop{}
+  \mathopen{\vphantom{\MT_prescript_arg:{#3}}}^{\box\z@}\sb{\box\tw@}
+  \MT_prescript_arg:{#3}
+}
+\define@key{\MT_options_name:}
+  {prescript-sup-format}{\def\MT_prescript_sup:{#1}}
+\define@key{\MT_options_name:}
+  {prescript-sub-format}{\def\MT_prescript_sub:{#1}}
+\define@key{\MT_options_name:}
+  {prescript-arg-format}{\def\MT_prescript_arg:{#1}}
+\setkeys{\MT_options_name:}{
+  prescript-sup-format={},
+  prescript-sub-format={},
+  prescript-arg-format={},
+}
+\def\@DeclareMathSizes #1#2#3#4#5{%
+  \@defaultunits\dimen@ #2pt\relax\@nnil
+  \if:w $#3$%
+    \MH_let:cN {S@\strip@pt\dimen@}\math@fontsfalse
+  \else:
+    \@defaultunits\dimen@ii #3pt\relax\@nnil
+    \@defaultunits\@tempdima #4pt\relax\@nnil
+    \@defaultunits\@tempdimb #5pt\relax\@nnil
+    \toks@{#1}%
+    \expandafter\xdef\csname S@\strip@pt\dimen@\endcsname{%
+      \gdef\noexpand\tf@size{\strip@pt\dimen@ii}%
+      \gdef\noexpand\sf@size{\strip@pt\@tempdima}%
+      \gdef\noexpand\ssf@size{\strip@pt\@tempdimb}%
+      \the\toks@
+    }%
+  \fi:
+}
+\def\MT_mathic_true: {
+  \MH_if_boolean:nF {math_italic_corr}{
+    \MH_set_boolean_T:n {math_italic_corr}
+    \MH_let:NwN \MT_begin_inlinemath: \(
+    \renewcommand*\({\relax\ifmmode\@badmath\else
+      \ifhmode
+        \if_dim:w \fontdimen\@ne\font>\z@
+          \if_dim:w \lastskip>\z@
+            \skip@\lastskip\unskip
+            \@@italiccorr
+            \hskip\skip@
+          \else:
+            \@@italiccorr
+          \fi:
+        \fi:
+      \fi:
+      $\fi:
+    }
+  }
+}
+\def\MT_mathic_false: {
+  \MH_if_boolean:nT {math_italic_corr}{
+    \MH_set_boolean_F:n {math_italic_corr}
+    \MH_let:NwN \( \MT_begin_inlinemath:
+  }
+}
+\MH_new_boolean:n {math_italic_corr}
+\define@key{\MT_options_name:}{mathic}[true]{
+  \@ifundefined{MT_mathic_#1:}
+    { \MT_true_false_error:
+      \@nameuse{MT_mathic_false:}
+    }
+    { \@nameuse{MT_mathic_#1:} }
+}
+\newenvironment{spreadlines}[1]{
+  \setlength{\jot}{#1}
+  \ignorespaces
+}{ \ignorespacesafterend }
+\MaybeMHPrecedingSpacesOff
+\newenvironment{MT_gathered_env}[1][c]{%
+    \RIfM@\else
+        \nonmatherr@{\begin{\@currenvir}}%
+    \fi
+    \null\,%
+    \if #1t\vtop \else \if#1b\vbox \else \vcenter \fi\fi \bgroup
+        \Let@ \chardef\dspbrk@context\@ne \restore@math@cr
+        \spread@equation
+        \ialign\bgroup
+            \MT_gathered_pre:
+            \strut@$\m@th\displaystyle##$
+            \MT_gathered_post:
+            \crcr
+}{%
+  \endaligned
+  \MT_gathered_env_end:
+}
+\MHPrecedingSpacesOn
+\newcommand*\newgathered[4]{
+  \newenvironment{#1}
+    { \def\MT_gathered_pre:{#2}
+      \def\MT_gathered_post:{#3}
+      \def\MT_gathered_env_end:{#4}
+      \MT_gathered_env
+    }{\endMT_gathered_env}
+}
+\newcommand*\renewgathered[4]{
+  \renewenvironment{#1}
+    { \def\MT_gathered_pre:{#2}
+      \def\MT_gathered_post:{#3}
+      \def\MT_gathered_env_end:{#4}
+      \MT_gathered_env
+    }{\endMT_gathered_env}
+}
+\newgathered{lgathered}{}{\hfil}{}
+\newgathered{rgathered}{\hfil}{}{}
+\renewgathered{gathered}{\hfil}{\hfil}{}
+\newcommand*\splitfrac[2]{%
+  \genfrac{}{}{0pt}{1}%
+    {\textstyle#1\quad\hfill}%
+    {\textstyle\hfill\quad\mathstrut#2}%
+}
+\newcommand*\splitdfrac[2]{%
+  \genfrac{}{}{0pt}{0}{#1\quad\hfill}{\hfill\quad\mathstrut #2}%
+}
+\MH_if_boolean:nT {fixamsmath}{
+\def\place@tag{%
+  \iftagsleft@
+    \kern-\tagshift@
+    \if@fleqn
+      \if_num:w \xatlevel@=\tw@
+        \kern-\@mathmargin
+      \fi:
+    \fi:
+    \if:w 1\shift@tag\row@\relax
+      \rlap{\vbox{%
+        \normalbaselines
+        \boxz@
+        \vbox to\lineht@{}%
+        \raise@tag
+      }}%
+    \else:
+      \rlap{\boxz@}%
+    \fi:
+    \kern\displaywidth@
+  \else:
+    \kern-\tagshift@
+    \if:w 1\shift@tag\row@\relax
+      \llap{\vtop{%
+        \raise@tag
+        \normalbaselines
+        \setbox\@ne\null
+        \dp\@ne\lineht@
+        \box\@ne
+        \boxz@
+      }}%
+    \else:
+      \llap{\boxz@}%
+    \fi:
+  \fi:
+}
+\def\x@calc@shift@lf{%
+  \if_dim:w \eqnshift@=\z@
+    \global\eqnshift@\@mathmargin\relax
+      \alignsep@\displaywidth
+      \advance\alignsep@-\totwidth@
+      \if_num:w \@tempcntb=0
+      \else:
+        \global\divide\alignsep@\@tempcntb % original line
+      \fi:
+      \if_dim:w \alignsep@<\minalignsep\relax
+        \global\alignsep@\minalignsep\relax
+      \fi:
+  \fi:
+  \if_dim:w \tag@width\row@>\@tempdima
+    \saveshift@1%
+  \else:
+    \saveshift@0%
+  \fi:}%
+}
+\MaybeMHPrecedingSpacesOff
+\renewcommand\aligned@a[1][c]{\start@aligned{#1}\m@ne}
+\MHPrecedingSpacesOn
+\endinput
+%%
+%% End of file `mathtools.sty'.
diff --git a/Master/texmf-dist/tex/latex/mh/mhsetup.sty b/Master/texmf-dist/tex/latex/mh/mhsetup.sty
new file mode 100644
index 00000000000..de71af7767c
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/mh/mhsetup.sty
@@ -0,0 +1,166 @@
+%%
+%% This is file `mhsetup.sty',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% mhsetup.dtx  (with options: `package')
+%% 
+%% It may be distributed and/or modified under the
+%% conditions of the LaTeX Project Public License, either version 1.3
+%% of this license or (at your option) any later version.
+%% The latest version of this license is in
+%%   http://www.latex-project.org/lppl.txt
+%% and version 1.3 or later is part of all distributions of LaTeX
+%% version 2003/12/01 or later.
+%% 
+%% This work has the LPPL maintenance status "maintained".
+%% 
+%% The Current Maintainer of this work is Morten H\o gholm.
+%% 
+%% This work consists of the files mhsetup.dtx and mhsetup.ins and
+%% the derived file mhsetup.sty.
+%% 
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{mhsetup}
+  [2004/10/10 v1.0b programming setup (MH)]
+\def\MHInternalSyntaxOn{
+  \edef\MHInternalSyntaxOff{%
+  \catcode`\noexpand\~=\the\catcode`\~\relax
+  \catcode`\noexpand\ =\the\catcode`\ \relax
+  \catcode`\noexpand\^^I=\the\catcode`\^^I\relax
+  \catcode`\noexpand\@=\the\catcode`\@\relax
+  \catcode`\noexpand\:=\the\catcode`\:\relax
+  \catcode`\noexpand\_=\the\catcode`\_\relax
+  \endlinechar=\the\endlinechar\relax
+  }%
+  \catcode`\~=10\relax
+  \catcode`\ =9\relax
+  \catcode`\^^I=9\relax
+  \makeatletter
+  \catcode`\_=11\relax
+  \catcode`\:=11\relax
+  \endlinechar=` %
+  \relax
+}
+\MHInternalSyntaxOn
+\AtEndOfPackage{\MHInternalSyntaxOff}
+\let\MH_let:NwN \let
+\def\MH_let:cN #1#2{
+  \expandafter\MH_let:NwN \csname#1\endcsname#2}
+\def\MH_let:cc #1#2{
+  \expandafter\MH_let:NwN\csname#1\expandafter\endcsname
+  \csname#2\endcsname}
+\def\MH_new_boolean:n #1{
+  \expandafter\@ifdefinable\csname if_boolean_#1:\endcsname{
+    \@namedef{boolean_#1_true:}
+      {\MH_let:cN{if_boolean_#1:}\iftrue}
+    \@namedef{boolean_#1_false:}
+      {\MH_let:cN{if_boolean_#1:}\iffalse}
+    \@nameuse{boolean_#1_false:}%
+  }
+}
+\def\MH_set_boolean_F:n #1{ \@nameuse{boolean_#1_false:} }
+\def\MH_set_boolean_T:n #1{ \@nameuse{boolean_#1_true:} }
+\def\MH_if_boolean:nTF #1{
+  \@nameuse{if_boolean_#1:}
+    \expandafter\@firstoftwo
+  \else:
+    \expandafter\@secondoftwo
+  \fi:
+}
+\def\MH_if_boolean:nT #1{
+  \@nameuse{if_boolean_#1:}
+    \expandafter\@firstofone
+  \else:
+    \expandafter\@gobble
+  \fi:
+}
+\def\MH_if_boolean:nF #1{
+  \@nameuse{if_boolean_#1:}
+    \expandafter\@gobble
+  \else:
+    \expandafter\@firstofone
+  \fi:
+}
+\@ifundefined{if:w}{\MH_let:NwN \if:w =\if}{}
+\@ifundefined{if_meaning:NN}{\MH_let:NwN \if_meaning:NN =\ifx}{}
+\@ifundefined{else:}{\MH_let:NwN \else:=\else}{}
+\@ifundefined{fi:}{\MH_let:NwN \fi:=\fi}{}
+\@ifundefined{if_num:w}{\MH_let:NwN \if_num:w =\ifnum}{}
+\@ifundefined{if_dim:w}{\MH_let:NwN \if_dim:w =\ifdim}{}
+\@ifundefined{if_case:w}{\MH_let:NwN \if_case:w =\ifcase}{}
+\@ifundefined{or:}{\MH_let:NwN \or:=\or}{}
+\def\MH_cs_to_str:N {\expandafter\@gobble\string}
+\@ifundefined{eTeXversion}
+  {
+    \MH_let:NwN \MH_protected:\relax
+    \def\MH_setlength:dn{\setlength}
+    \def\MH_addtolength:dn{\addtolength}
+  }
+  {
+    \MH_let:NwN \MH_protected:\protected
+    \def\MH_setlength:dn #1#2{#1=\dimexpr#2\relax\relax}
+    \def\MH_addtolength:dn #1#2{\advance#1 \dimexpr#2\relax\relax}
+  }
+
+\def\MH_keyval_alias_with_addon:nnnn #1#2#3#4{
+  \@namedef{KV@#1@#2}{\@nameuse{KV@#1@#3}#4}
+  \@namedef{KV@#1@#2@default}{\@nameuse{KV@#1@#3@default}#4}}
+\def\MH_keyval_alias:nnn #1#2#3{
+  \MH_keyval_alias_with_addon:nnnn {#1}{#2}{#3}{}}
+\def\MH_use_choice_i:nnnn #1#2#3#4{#1}
+\def\MH_use_choice_ii:nnnn #1#2#3#4{#2}
+\def\MH_use_choice_iii:nnnn #1#2#3#4{#3}
+\def\MH_use_choice_iv:nnnn #1#2#3#4{#4}
+\long\def\MH_nospace_ifnextchar:Nnn #1#2#3{
+  \MH_let:NwN\reserved@d=~#1
+  \def\reserved@a{#2}
+  \def\reserved@b{#3}
+  \futurelet\@let@token\MH_nospace_nextchar:
+}
+\def\MH_nospace_nextchar:{
+  \if_meaning:NN \@let@token\reserved@d
+    \MH_let:NwN \reserved@b\reserved@a
+  \fi:
+  \reserved@b
+}
+\long\def\MH_nospace_testopt:nn #1#2{
+  \MH_nospace_ifnextchar:Nnn[
+    {#1}
+    {#1[{#2}]}
+}
+\def\MH_nospace_protected_testopt:n #1{
+  \if_meaning:NN \protect\@typeset@protect
+    \expandafter\MH_nospace_testopt:nn
+  \else:
+    \@x@protect#1
+  \fi:
+}
+\@ifundefined{kernel@ifnextchar}
+  {\MH_let:NwN \kernel@ifnextchar \@ifnextchar}
+  {}
+\MH_let:NwN \MH_kernel_xargdef:nwwn \@xargdef
+\long\def\MH_nospace_xargdef:nwwn #1[#2][#3]#4{
+  \@ifdefinable#1{
+     \expandafter\def\expandafter#1\expandafter{
+          \expandafter
+          \MH_nospace_protected_testopt:n
+          \expandafter
+          #1
+          \csname\string#1\endcsname
+          {#3}}
+       \expandafter\@yargdef
+          \csname\string#1\endcsname
+           \tw@
+           {#2}
+           {#4}}}
+\providecommand*\MHPrecedingSpacesOff{
+  \MH_let:NwN \@xargdef \MH_nospace_xargdef:nwwn
+}
+\providecommand*\MHPrecedingSpacesOn{
+  \MH_let:NwN \@xargdef \MH_kernel_xargdef:nwwn
+}
+\endinput
+%%
+%% End of file `mhsetup.sty'.
diff --git a/Master/texmf-dist/tex/latex/mh/ntheorem.fix b/Master/texmf-dist/tex/latex/mh/ntheorem.fix
new file mode 100644
index 00000000000..fb310ef9c57
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/mh/ntheorem.fix
@@ -0,0 +1,402 @@
+%%
+%% This is file `ntheorem.fix',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% empheq.dtx  (with options: `ntheorem')
+%% 
+%% It may be distributed and/or modified under the
+%% conditions of the LaTeX Project Public License, either version 1.3
+%% of this license or (at your option) any later version.
+%% The latest version of this license is in
+%%   http://www.latex-project.org/lppl.txt
+%% and version 1.3 or later is part of all distributions of LaTeX
+%% version 2003/12/01 or later.
+%% 
+%% This work has the LPPL maintenance status "maintained".
+%% 
+%% The Current Maintainer of this work is Morten H\o gholm.
+%% 
+%% This work consists of the files empheq.dtx and empheq.ins and the
+%% derived files empheq.sty and ntheorem.fix
+%% 
+\ProvidesFile{ntheorem.fix}
+  [2004/10/10 v2.11a
+  empheq support and fixes for ntheorem (MH)
+  ]
+\def\default_raisetag:{\nobreak}
+\def\raisetag#1{
+  \skip@#1\relax
+  \xdef\raise@tag{\default_raisetag:
+                  \vskip\iftagsleft@\else:-\fi:\the\skip@\relax}}
+\MH_let:NwN\raise@tag\default_raisetag:
+\def\displ@y@{\@display@init{%
+  \global\column@\z@ \global\dspbrk@lvl\m@ne
+  \global\tag@false \global\MH_let:NwN\raise@tag\default_raisetag:
+}}
+\def\MT_gobblelabel:w #1{\@ifnextchar[{\EQ_gobbleoptional:w}{}}
+\def\EQ_gobbleoptional:w [#1]{}
+\def\gmeasure@#1{%
+  \begingroup
+    \measuring@true
+    \totwidth@\z@
+    \global\MH_let:NwN\tag@lengths\@empty
+    \savecounters@
+    \setbox\@ne\vbox{%
+      \everycr{\noalign{\global\tag@false
+        \global\MH_let:NwN\raise@tag\default_raisetag:
+        \global\column@\z@}}%
+      \MH_let:NwN\label\MT_gobblelabel:w
+      \halign{%
+        \setboxz@h{$\m@th\displaystyle{##}$}%
+        \if_dim:w \wdz@>\totwidth@
+          \global\totwidth@\wdz@
+        \fi:
+        &\setboxz@h{\strut@{##}}%
+        \savetaglength@
+        \crcr
+        #1%
+        \math@cr@@@
+      }%
+    }%
+    \restorecounters@
+    \if@fleqn
+        \global\advance\totwidth@\@mathmargin
+    \fi:
+    \iftagsleft@
+        \if_dim:w \totwidth@>\displaywidth
+            \global\MH_let:NwN\gdisplaywidth@\totwidth@
+        \else:
+            \global\MH_let:NwN\gdisplaywidth@\displaywidth
+        \fi:
+    \fi:
+  \endgroup
+}
+\def\measure@#1{%
+  \begingroup
+    \measuring@true
+    \global\eqnshift@\z@
+    \global\alignsep@\z@
+    \global\MH_let:NwN\tag@lengths\@empty
+    \global\MH_let:NwN\field@lengths\@empty
+    \savecounters@
+    \global\setbox0\vbox{%
+      \MH_let:NwN\math@cr@@@\math@cr@@@align@measure
+      \everycr{\noalign{\global\tag@false
+        \global\MH_let:NwN\raise@tag\default_raisetag:
+        \global\column@\z@}}%
+      \MH_let:NwN\label\MT_gobblelabel:w
+      \global\row@\z@
+      \tabskip\z@
+      \halign{\span\align@preamble\crcr
+        #1%
+        \math@cr@@@
+        \global\column@\z@
+        \add@amps\maxfields@\cr
+      }%
+    }%
+    \restorecounters@
+    \ifodd\maxfields@
+      \global\advance\maxfields@\@ne
+    \fi:
+    \if_num:w \xatlevel@=\tw@
+      \if_num:w \maxfields@<\thr@@
+        \MH_let:NwN\xatlevel@\z@
+      \fi:
+    \fi:
+    \setbox\z@\vbox{%
+      \unvbox\z@ \unpenalty \global\setbox\@ne\lastbox
+    }%
+    \global\totwidth@\wd\@ne
+    \if@fleqn \global\advance\totwidth@\@mathmargin \fi:
+    \global\MH_let:NwN\maxcolumn@widths\@empty
+    \begingroup
+      \MH_let:NwN\or:\relax
+      \loop
+        \global\setbox\@ne\hbox{%
+          \unhbox\@ne \unskip \global\setbox\thr@@\lastbox
+        }%
+      \ifhbox\thr@@
+        \xdef\maxcolumn@widths{ \or: \the\wd\thr@@ \maxcolumn@widths}%
+      \repeat
+    \endgroup
+    \dimen@\displaywidth
+    \advance\dimen@-\totwidth@
+    \if_case:w \xatlevel@
+      \global\alignsep@\z@
+      \MH_let:NwN\minalignsep\z@
+      \@tempcntb\z@
+      \if@fleqn
+        \@tempcnta\@ne
+        \global\eqnshift@\@mathmargin
+      \else:
+        \@tempcnta\tw@
+        \global\eqnshift@\dimen@
+        \global\divide\eqnshift@\@tempcnta
+      \fi:
+    \or:
+      \@tempcntb\maxfields@
+      \divide\@tempcntb\tw@
+      \@tempcnta\@tempcntb
+      \advance\@tempcntb\m@ne
+      \if@fleqn
+        \global\eqnshift@\@mathmargin
+        \global\alignsep@\dimen@
+        \global\divide\alignsep@\@tempcnta
+      \else:
+        \global\advance\@tempcnta\@ne
+        \global\eqnshift@\dimen@
+        \global\divide\eqnshift@\@tempcnta
+        \global\alignsep@\eqnshift@
+      \fi:
+    \or:
+      \@tempcntb\maxfields@
+      \divide\@tempcntb\tw@
+      \global\advance\@tempcntb\m@ne
+      \global\@tempcnta\@tempcntb
+      \global\eqnshift@\z@
+      \global\alignsep@\dimen@
+      \if@fleqn
+        \global\advance\alignsep@\@mathmargin\relax
+      \fi:
+      \global\divide\alignsep@\@tempcntb
+    \fi:
+    \if_dim:w \alignsep@<\minalignsep\relax
+      \global\alignsep@\minalignsep\relax
+      \if_dim:w \eqnshift@>\z@
+        \if@fleqn\else:
+          \global\eqnshift@\displaywidth
+          \global\advance\eqnshift@-\totwidth@
+          \global\advance\eqnshift@-\@tempcntb\alignsep@
+          \global\divide\eqnshift@\tw@
+        \fi:
+      \fi:
+    \fi:
+    \if_dim:w \eqnshift@<\z@
+      \global\eqnshift@\z@
+    \fi:
+    \calc@shift@align
+    \global\tagshift@\totwidth@
+    \global\advance\tagshift@\@tempcntb\alignsep@
+    \if@fleqn
+      \if_num:w \xatlevel@=\tw@
+        \global\advance\tagshift@-\@mathmargin\relax
+      \fi:
+    \else:
+      \global\advance\tagshift@\eqnshift@
+    \fi:
+    \iftagsleft@ \else:
+      \global\advance\tagshift@-\displaywidth
+    \fi:
+    \dimen@\minalignsep\relax
+    \global\advance\totwidth@\@tempcntb\dimen@
+    \if_dim:w \totwidth@>\displaywidth
+      \global\MH_let:NwN\displaywidth@\totwidth@
+    \else:
+      \global\MH_let:NwN\displaywidth@\displaywidth
+    \fi:
+  \endgroup
+}
+\def\EQ_multline_labelhack:n #1{%
+  \begingroup\measuring@false\label@in@display{#1}\endgroup}
+\def\EQ_multline_labelhack_opt:nw #1[#2]{%
+  \begingroup\measuring@false\label@in@display{#1}[#2]\endgroup}
+\def\multline@#1{%
+  \Let@
+  \@display@init{\global\advance\row@\@ne \global\dspbrk@lvl\m@ne}%
+  \chardef\dspbrk@context\z@
+  \restore@math@cr
+  \MH_let:NwN\tag\tag@in@align
+  \global\tag@false \global\MH_let:NwN\raise@tag\default_raisetag:
+  \mmeasure@{#1}%
+  \MH_let:NwN\tag\gobble@tag
+  \MH_let:NwN\label\MT_gobblelabel:w
+  \tabskip \if@fleqn \@mathmargin \else: \z@skip \fi:
+  \totwidth@\displaywidth
+  \if@fleqn
+    \advance\totwidth@-\@mathmargin
+  \fi:
+  \halign\bgroup
+    \hbox to\totwidth@{%
+      \if@fleqn
+        \hskip \@centering \relax
+      \else:
+        \hfil
+      \fi:
+      \strut@
+      $\m@th\displaystyle{}##\endmultline@math
+      \hfil
+    }%
+    \crcr
+    \if@fleqn
+      \hskip-\@mathmargin
+      \def\multline@indent{\hskip\@mathmargin}% put it back
+    \else:
+      \hfilneg
+      \def\multline@indent{\hskip\multlinegap}%
+    \fi:
+    \iftagsleft@
+      \iftag@
+        \begingroup
+          \ifshifttag@
+            \rlap{\vbox{%
+              \normalbaselines
+              \hbox{%
+                \strut@
+                \make@display@tag
+              }%
+              \vbox to\lineht@{}%
+              \raise@tag
+            }}%
+              \multline@indent
+          \else:
+            \setbox\z@\hbox{\make@display@tag}%
+            \dimen@\@mathmargin \advance\dimen@-\wd\z@
+            \if_dim:w \dimen@<\multlinetaggap
+              \dimen@\multlinetaggap
+            \fi:
+            \box\z@ \hskip\dimen@\relax
+          \fi:
+        \endgroup
+      \else:
+        \multline@indent
+      \fi:
+    \else:
+      \multline@indent
+    \fi:
+  #1%
+}
+\def\mmeasure@#1{%
+  \begingroup
+    \measuring@true
+    \def\label##1{%
+      \@ifnextchar[
+        {\EQ_multline_labelhack_opt:nw {##1}}
+        {\EQ_multline_labelhack:n {##1}}
+    }
+    \def\math@cr@@@{\cr}%
+    \MH_let:NwN\shoveleft\@iden \MH_let:NwN\shoveright\@iden
+    \savecounters@
+    \global\row@\z@
+    \setbox\@ne\vbox{%
+      \global\MH_let:NwN\df@tag\@empty
+      \halign{%
+        \setboxz@h{\@lign$\m@th\displaystyle{}##$}%
+        \iftagsleft@
+          \if_num:w \row@=\@ne
+            \global\totwidth@\wdz@
+            \global\lineht@\ht\z@
+          \fi:
+        \else:
+          \global\totwidth@\wdz@
+          \global\lineht@\dp\z@
+        \fi:
+        \crcr
+        #1%
+        \crcr
+      }%
+    }%
+    \if_meaning:NN
+      \df@tag\@empty
+    \else:
+      \global\tag@true
+    \fi:
+    \if@eqnsw\global\tag@true\fi:
+    \iftag@
+      \setboxz@h{%
+        \if@eqnsw
+          \stepcounter{equation}%
+          \tagform@\theequation
+        \else:
+          \df@tag
+        \fi:
+      }%
+      \global\tagwidth@\wdz@
+      \dimen@\totwidth@
+      \advance\dimen@\tagwidth@
+      \advance\dimen@\multlinetaggap
+      \iftagsleft@\else:
+        \if@fleqn
+          \advance\dimen@\@mathmargin
+        \fi:
+      \fi:
+      \if_dim:w \dimen@>\displaywidth
+        \global\shifttag@true
+      \else:
+        \global\shifttag@false
+      \fi:
+    \fi:
+    \restorecounters@
+  \endgroup
+}
+\newlength\mintagvsep
+\mintagvsep5pt
+\def\EQ_only_endmark:{%
+  \MH_set_boolean_T:n {show_manual_tags}
+  \global\tag@true
+  \iftagsleft@
+    \gdef\df@tag{%
+      \hbox to \displaywidth{%
+        \hss
+        \raisebox{-\normallineskip
+                  -\depthof{\EQ_outerbox:{}}
+                  -\heightof{\EQ_outerbox:{}}
+                  -\dp\EQ_mathdisplay_box
+                  -\ht\EQ_mathdisplay_box}
+                 [0pt][0pt]{\PotEndMark{\maketag@@@}}}}
+  \else:
+    \gdef\df@tag{%
+      \raisebox{-\dp\EQ_mathdisplay_box
+                -\depthof{\EQ_outerbox:{}}}
+               {\PotEndMark{\maketag@@@}}}%
+  \fi:}
+\def\EQ_tag_plus_endmark:{%
+  \iftagsleft@
+    \gdef\maketag@@@##1{%
+      \hfuzz\displaywidth
+      \makebox[\widthof{##1}][l]{%
+        \hbox to \displaywidth{\m@th\normalfont##1\hss
+          \raisebox{-\dp\EQ_mathdisplay_box
+                    -\depthof{\EQ_outerbox:{}}}
+                   {\PotEndMark{\hss}}}}}%
+  \else:
+    \gdef\maketag@@@##1{%
+      \hbox{\m@th\normalfont##1\llap{\hss\PotEndMark{%
+        \settoheight{\@tempdima}{\@nameuse{\InTheoType Symbol}}%
+        \MH_addtolength:dn \@tempdima
+          {\g_EQ_bottomtag_depth_dim+\mintagvsep}
+        \setlength{\@tempdimb}
+          {\g_EQ_bottomrow_depth_dim+\depthof{\EQ_outerbox:{}}
+            +\depthof{\EQ_innerbox:{}}}
+        \if_dim:w \@tempdima>\@tempdimb
+          \MH_setlength:dn \@tempdima{-\dp\EQ_mathdisplay_box
+            -\@tempdima+\g_EQ_bottomrow_depth_dim}
+          \addtolength{\@tempdima}{\depthof{\EQ_innerbox:{}}}%
+          \def\EQ_next:{\raisebox{\@tempdima}}%
+        \else:
+          \def\EQ_next:{
+            \raisebox{-\dp\EQ_mathdisplay_box
+                      -\depthof{\EQ_outerbox:{}}}}%
+        \fi:\EQ_next:}}}}%
+  \fi:}
+\MH_let:NwN \MT_nonumber: \nonumber
+\def\g_EQ_latest_nonzerodepth_row_fint{\z@}
+\renewcommand*\nonumber{
+  \@tempcnta=\row@
+  \if_num:w \l_EQ_equationtype_int=\thr@@
+    \advance\@tempcnta\m@ne
+  \else:
+    \if_num:w \l_EQ_equationtype_int=4\relax
+      \advance\@tempcnta\m@ne
+    \fi:
+  \fi:
+  \if_num:w \g_EQ_latest_nonzerodepth_row_fint=\@tempcnta
+  \else:
+    \global\g_EQ_bottomtag_depth_dim=-\baselineskip
+  \fi:
+  \MT_nonumber:
+}
+\endinput
+%%
+%% End of file `ntheorem.fix'.