rm mh, replaced by breqn and mathtools

git-svn-id: svn://tug.org/texlive/trunk@34869 c570f23f-e606-0410-a88d-b1316a301751

1 files changed, 0 insertions, 1606 deletions

diff --git a/Master/texmf-dist/tex/latex/mh/mathtools.sty b/Master/texmf-dist/tex/latex/mh/mathtools.sty
deleted file mode 100644
index 8eec6199a2b..00000000000
--- a/Master/texmf-dist/tex/latex/mh/mathtools.sty
+++ /dev/null
@@ -1,1606 +0,0 @@
-%%
-%% This is file `mathtools.sty',
-%% generated with the docstrip utility.
-%%
-%% The original source files were:
-%%
-%% mathtools.dtx  (with options: `package')
-%% 
-%% This is a generated file.
-%% 
-%% Copyright (C) 2002-2011 by Morten Hoegholm
-%% Copyright (C) 2012-     by Lars Madsen
-%% 
-%% 
-%% This work 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 2005/12/01 or later.
-%% 
-%% This work has the LPPL maintenance status "maintained".
-%% 
-%% This Current Maintainer of this work is
-%% Lars Madsen, Will Robertson and Joseph Wright.
-%% 
-%% This work consists of the main source file mathtools.dtx
-%% and the derived files
-%%    mathtools.sty, mathtools.pdf, mathtools.ins, mathtools.drv.
-%% 
-\ProvidesPackage{mathtools}%
-  [2014/05/21 v1.14 mathematical typesetting tools]
-\RequirePackage{keyval,calc}
-\RequirePackage{mhsetup}[2010/01/21]
-\MHInternalSyntaxOn
- % borrowed from fixltx2e
-\def\EQ_MakeRobust#1{%
-  \@ifundefined{\expandafter\@gobble\string#1}{%
-    \@latex@error{The control sequence `\string#1' is undefined!%
-      \MessageBreak There is nothing here to make robust}%
-    \@eha
-  }%
-  {%
-    \@ifundefined{\expandafter\@gobble\string#1\space}%
-    {%
-      \expandafter\let\csname
-      \expandafter\@gobble\string#1\space\endcsname=#1%
-      \edef\reserved@a{\string#1}%
-      \def\reserved@b{#1}%
-      \edef\reserved@b{\expandafter\strip@prefix\meaning\reserved@b}%
-      \edef#1{%
-        \ifx\reserved@a\reserved@b
-          \noexpand\x@protect\noexpand#1%
-        \fi
-        \noexpand\protect\expandafter\noexpand
-        \csname\expandafter\@gobble\string#1\space\endcsname}%
-    }%
-    {\@latex@info{The control sequence `\string#1' is already robust}}%
-   }%
-}
-\def\forced_EQ_MakeRobust#1{%
-  \@ifundefined{\expandafter\@gobble\string#1}{%
-    \@latex@error{The control sequence `\string#1' is undefined!%
-      \MessageBreak There is nothing here to make robust}%
-    \@eha
-  }%
-  {%
-    % \@ifundefined{\expandafter\@gobble\string#1\space}%
-    % {%
-      \expandafter\let\csname
-      \expandafter\@gobble\string#1\space\endcsname=#1%
-      \edef\reserved@a{\string#1}%
-      \def\reserved@b{#1}%
-      \edef\reserved@b{\expandafter\strip@prefix\meaning\reserved@b}%
-      \edef#1{%
-        \ifx\reserved@a\reserved@b
-          \noexpand\x@protect\noexpand#1%
-        \fi
-        \noexpand\protect\expandafter\noexpand
-        \csname\expandafter\@gobble\string#1\space\endcsname}%
- %    }%
- %    {\@latex@info{The control sequence `\string#1' is already robust}}%
-   }%
-}
-\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
-}
-\MH_new_boolean:n {robustify}
-\MH_set_boolean_T:n {robustify}
-\DeclareOption{nonrobust}{
-  \MH_set_boolean_F:n {robustify}
-}
-\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.}
-}
-\MH_if_boolean:nT {robustify}{
-  \EQ_MakeRobust\(
-  \EQ_MakeRobust\)
-  \EQ_MakeRobust\[
-  \EQ_MakeRobust\]
-}
-\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:nTF {manual_tag}% this was \MH_if_boolean:nT before
-    { \MH_if_boolean:nTF {show_manual_tags}
-      { \MT_prev_tagform:n {#1} }
-      { \stepcounter{equation}  }
-    }{\kern1sp}% this last {\kern1sp} is new.
-  \else:
-    \MH_if_boolean:nTF {manual_tag}
-      { \MH_if_boolean:nTF {show_manual_tags}
-          { \MT_prev_tagform:n {#1} }
-          { \@safe@activestrue
-            \@ifundefined{MT_r_\df@label}
-              { \global\MH_set_boolean_F:n {manual_tag} }
-              { \MT_prev_tagform:n {#1} }
-              \@safe@activesfalse
-          }
-      }
-      {
-        \@safe@activestrue
-        \@ifundefined{MT_r_\df@label}
-          { }
-          { \refstepcounter{equation}\MT_prev_tagform:n {#1} }
-        \@safe@activesfalse
-      }
-  \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} }
-          { \@safe@activestrue
-            \@ifundefined{MT_r_\df@label}
-              { }
-              { \MT_maketag:n {#1}     }
-            \@safe@activesfalse
-          }
-      }
-      { \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}}}
-}
-\EQ_MakeRobust\MT_extended_eqref:n
-\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
-}
-\MHInternalSyntaxOff
-\newcommand\noeqref[1]{\@bsphack
-  \@for\@tempa:=#1\do{%
-    \@safe@activestrue%
-    \edef\@tempa{\expandafter\@firstofone\@tempa}%
-    \@ifundefined{r@\@tempa}{%
-      \protect\G@refundefinedtrue%
-      \@latex@warning{Reference `\@tempa' on page \thepage \space
-        undefined (\string\noeqref)}%
-    }{}%
-    \if@filesw\protected@write\@auxout{}%
-    {\string\MT@newlabel{\@tempa}}\fi%
-  \@safe@activesfalse}
-  \@esphack}
-
-\providecommand\@safe@activestrue{}%
-\providecommand\@safe@activesfalse{}%
-
-\MHInternalSyntaxOn
-\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{%
-    $\ext@arrow 0359\MT_rightharpoonup_fill:{\phantom{#1}}{#2}$}%
-  \setbox0=\hbox{%
-    $\ext@arrow 3095\MT_leftharpoondown_fill:{#1}{\phantom{#2}}$}%
-  \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}}
-\providecommand\ordinarycolon{:}
-\begingroup
-  \catcode`\:=\active
-  \lowercase{\endgroup
-\def\MT_activate_colon{%
-    \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: {
-  \MT_activate_colon
-  \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{\mathrel{\vcentcolon\mkern-.9mu\vcentcolon}}
-  \providecommand*\coloneqq{\mathrel{\vcentcolon\mkern-1.2mu=}}
-  \providecommand*\Coloneqq{\mathrel{\dblcolon\mkern-1.2mu=}}
-  \providecommand*\coloneq{\mathrel{\vcentcolon\mkern-1.2mu\mathrel{-}}}
-  \providecommand*\Coloneq{\mathrel{\dblcolon\mkern-1.2mu\mathrel{-}}}
-  \providecommand*\eqqcolon{\mathrel{=\mkern-1.2mu\vcentcolon}}
-  \providecommand*\Eqqcolon{\mathrel{=\mkern-1.2mu\dblcolon}}
-  \providecommand*\eqcolon{\mathrel{\mathrel{-}\mkern-1.2mu\vcentcolon}}
-  \providecommand*\Eqcolon{\mathrel{\mathrel{-}\mkern-1.2mu\dblcolon}}
-  \providecommand*\colonapprox{\mathrel{\vcentcolon\mkern-1.2mu\approx}}
-  \providecommand*\Colonapprox{\mathrel{\dblcolon\mkern-1.2mu\approx}}
-  \providecommand*\colonsim{\mathrel{\vcentcolon\mkern-1.2mu\sim}}
-  \providecommand*\Colonsim{\mathrel{\dblcolon\mkern-1.2mu\sim}}
-}
-\let \AMS@math@cr@@ \math@cr@@
-\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-\jot \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][]
-  {\MH_group_align_safe_begin:
-  \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 \MH_group_align_safe_end:
-  }
-\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\MT_delim_default_inner_wrappers:n [1]{
-   \@namedef{MT_delim_\MH_cs_to_str:N #1 _star_wrapper:nnn}##1##2##3{
-      \mathopen{}\mathclose\bgroup ##1 ##2 \aftergroup\egroup ##3
-    }
-    \@namedef{MT_delim_\MH_cs_to_str:N #1 _nostar_wrapper:nnn}##1##2##3{
-      \mathopen{##1}##2\mathclose{##3}
-    }
-  }
-
-\newcommand\reDeclarePairedDelimiterInnerWrapper[3]{
-  \@namedef{MT_delim_\MH_cs_to_str:N #1 _ #2 _wrapper:nnn}##1##2##3{
-    #3
-  }
-}
-
-\newcommand*\DeclarePairedDelimiter[3]{%
-  \@ifdefinable{#1}{
-    \MT_delim_default_inner_wrappers:n{#1}
-    \@namedef{MT_delim_\MH_cs_to_str:N #1 _star:}##1
-      %{\mathopen{}\mathclose\bgroup\left#2 ##1 \aftergroup\egroup\right #3}%
-      { \@nameuse{MT_delim_\MH_cs_to_str:N #1 _star_wrapper:nnn}%
-           {\left#2}{##1}{\right#3} }%
-    \@xp\@xp\@xp
-      \newcommand
-        \@xp\csname MT_delim_\MH_cs_to_str:N #1 _nostar:\endcsname
-        [2][\\@gobble]
-        {
-          %\mathopen{\@nameuse {\MH_cs_to_str:N ##1 l} #2} ##2
-          %\mathclose{\@nameuse {\MH_cs_to_str:N ##1 r} #3}}
-          \@nameuse{MT_delim_\MH_cs_to_str:N #1 _nostar_wrapper:nnn}%
-             {\@nameuse {\MH_cs_to_str:N ##1 l} #2}
-             {##2}
-             {\@nameuse {\MH_cs_to_str:N ##1 r} #3}
-        }
-    \DeclareRobustCommand{#1}{
-      \@ifstar
-        {\@nameuse{MT_delim_\MH_cs_to_str:N #1 _star:}}
-        {\@nameuse{MT_delim_\MH_cs_to_str:N #1 _nostar:}}
-    }
-  }
-}
-\def\MHempty{}
-\def\DeclarePairedDelimiterX#1[#2]#3#4#5{%
-  \@ifdefinable{#1}{
-    \MT_paired_delimx_arg_test:n{#2}
-    \MT_delim_default_inner_wrappers:n{#1}
-    \@xp\@xp\@xp
-      \newcommand
-        \@xp\csname MT_delim_\MH_cs_to_str:N #1 _star:\endcsname
-        [#2]
-        {
-          \begingroup
-            \def\delimsize{\middle}
-            %\mathopen{}\mathclose\bgroup\left#3 #5 \aftergroup\egroup\right#4
-            \@nameuse{MT_delim_\MH_cs_to_str:N #1 _star_wrapper:nnn}
-              {\left#3}{#5}{\right#4}
-          \endgroup
-        }
-    \@xp\@xp\@xp
-      \newcommand
-        \@xp\csname MT_delim_\MH_cs_to_str:N #1 _nostar:\endcsname
-        [1][\MHempty]
-      {
-        \begingroup
-        \def\delimsize{##1}
-        \@nameuse{MT_delim_\MH_cs_to_str:N #1 _nostar_inner:}
-      }
-    \@xp\@xp\@xp
-      \newcommand
-        \@xp\csname MT_delim_\MH_cs_to_str:N #1 _nostar_inner:\endcsname
-        [#2]
-        {
-          %\mathopen{%
-          %  \let\MHempty\@gobble
-          %  \@xp\@xp\@xp\csname\@xp\MH_cs_to_str:N \delimsize l\endcsname #3}
-          %#5
-          %\mathclose{%
-          %  \let\MHempty\@gobble
-          %  \@xp\@xp\@xp\csname\@xp\MH_cs_to_str:N \delimsize r\endcsname #4}
-          \@nameuse{MT_delim_\MH_cs_to_str:N #1 _nostar_wrapper:nnn}
-          {
-            \let\MHempty\@gobble
-            \@xp\@xp\@xp\csname\@xp\MH_cs_to_str:N \delimsize l\endcsname #3
-          }
-          {#5}
-          {
-            \let\MHempty\@gobble
-            \@xp\@xp\@xp\csname\@xp\MH_cs_to_str:N \delimsize r\endcsname #4
-          }
-          \endgroup
-        }
-    \DeclareRobustCommand{#1}{
-      \@ifstar
-        {\@nameuse{MT_delim_\MH_cs_to_str:N #1 _star:}}
-        {\@nameuse{MT_delim_\MH_cs_to_str:N #1 _nostar:}}
-    }
-  }
-}
-\def\MT_paired_delimx_arg_test:n #1{
-  \ifnum#1>9\relax
-    \PackageError{mathtools}{No~ more~ than~ 9~ arguments}{}
-  \else
-    \ifnum#1<1\relax
-      \PackageError{mathtools}{Macro~ need~ 1~ or~ more~
-        arguments.\MessageBreak Please~ change~ [#1]~ to~ [1]~ ... [9]}{}
-    \fi
-  \fi
- }
-
-\def\DeclarePairedDelimiterXPP#1[#2]#3#4#5#6#7{%
-  \@ifdefinable{#1}{
-    \MT_paired_delimx_arg_test:n{#2}
-    \MT_delim_default_inner_wrappers:n{#1}
-    \@xp\@xp\@xp
-      \newcommand
-        \@xp\csname MT_delim_\MH_cs_to_str:N #1 _star:\endcsname
-        [#2]
-        {
-          \begingroup
-            \def\delimsize{\middle}
-            #3
-            \@nameuse{MT_delim_\MH_cs_to_str:N #1 _star_wrapper:nnn}
-              {\left#4}{#7}{\right#5}
-            #6
-          \endgroup
-        }
-    \@xp\@xp\@xp
-      \newcommand
-        \@xp\csname MT_delim_\MH_cs_to_str:N #1 _nostar:\endcsname
-        [1][\MHempty]
-      {
-        \begingroup
-        \def\delimsize{##1}
-        \@nameuse{MT_delim_\MH_cs_to_str:N #1 _nostar_inner:}
-      }
-    \@xp\@xp\@xp
-      \newcommand
-        \@xp\csname MT_delim_\MH_cs_to_str:N #1 _nostar_inner:\endcsname
-        [#2]
-        {
-          #3
-          \@nameuse{MT_delim_\MH_cs_to_str:N #1 _nostar_wrapper:nnn}
-          {
-            \let\MHempty\@gobble
-            \@xp\@xp\@xp\csname\@xp\MH_cs_to_str:N \delimsize l\endcsname #4
-          }
-          {#7}
-          {
-            \let\MHempty\@gobble
-            \@xp\@xp\@xp\csname\@xp\MH_cs_to_str:N \delimsize r\endcsname #5
-          }
-          #6
-          \endgroup
-        }
-    \DeclareRobustCommand{#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:nnnn #1#2#3#4{ % #1=sep,#2=lpreamble,#3=rpreamble,#4=delim
- \RIfM@\else
-   \nonmatherr@{\begin{\@currenvir}}
- \fi
- \MH_group_align_safe_begin:
- \left#4
- \vcenter \bgroup
-     \Let@ \chardef\dspbrk@context\@ne \restore@math@cr
-     \let  \math@cr@@\AMS@math@cr@@
-     \spread@equation
-     \ialign\bgroup
-       \strut@#2 &#1\strut@
-       #3
-       \crcr
-}
-\def\MH_end_cases:{\crcr\egroup
- \restorecolumn@
- \egroup
- \MH_group_align_safe_end:
-}
-\newcommand*\newcases[6]{% #1=name, #2=sep, #3=preamble, #4=left, #5=right
- \newenvironment{#1}
-   {\MT_start_cases:nnnn {#2}{#3}{#4}{#5}}
-   {\MH_end_cases:\right#6}
-}
-\newcommand*\renewcases[6]{
- \renewenvironment{#1}
-   {\MT_start_cases:nnnn {#2}{#3}{#4}{#5}}
-   {\MH_end_cases:\right#6}
-}
-\newcases{dcases}{\quad}{%
-  $\m@th\displaystyle{##}$\hfil}{$\m@th\displaystyle{##}$\hfil}{\lbrace}{.}
-\newcases{dcases*}{\quad}{%
-  $\m@th\displaystyle{##}$\hfil}{{##}\hfil}{\lbrace}{.}
-\newcases{rcases}{\quad}{%
-  $\m@th{##}$\hfil}{$\m@th{##}$\hfil}{.}{\rbrace}
-\newcases{rcases*}{\quad}{%
-  $\m@th{##}$\hfil}{{##}\hfil}{.}{\rbrace}
-\newcases{drcases}{\quad}{%
-  $\m@th\displaystyle{##}$\hfil}{$\m@th\displaystyle{##}$\hfil}{.}{\rbrace}
-\newcases{drcases*}{\quad}{%
-  $\m@th\displaystyle{##}$\hfil}{{##}\hfil}{.}{\rbrace}
-\newcases{cases*}{\quad}{%
-  $\m@th{##}$\hfil}{{##}\hfil}{\lbrace}{.}
-\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}
-\def\MT_smallmatrix_begin:N #1{%
-  \Let@\restore@math@cr\default@tag
-  \baselineskip6\ex@ \lineskip1.5\ex@ \lineskiplimit\lineskip
-  \csname MT_smallmatrix_#1_begin:\endcsname
-}
-\def\MT_smallmatrix_end:{\crcr\egroup\egroup\MT_smallmatrix_inner_space:}
-\def\MT_smallmatrix_l_begin:{\null\MT_smallmatrix_inner_space:\vcenter\bgroup
-  \ialign\bgroup$\m@th\scriptstyle##$\hfil&&\thickspace
-  $\m@th\scriptstyle##$\hfil\crcr
-}
-\def\MT_smallmatrix_c_begin:{\null\MT_smallmatrix_inner_space:\vcenter\bgroup
-  \ialign\bgroup\hfil$\m@th\scriptstyle##$\hfil&&\thickspace\hfil
-  $\m@th\scriptstyle##$\hfil\crcr
-}
-\def\MT_smallmatrix_r_begin:{\null\MT_smallmatrix_inner_space:\vcenter\bgroup
-  \ialign\bgroup\hfil$\m@th\scriptstyle##$&&\thickspace\hfil
-  $\m@th\scriptstyle##$\crcr
-}
-\newenvironment{smallmatrix*}[1][\MT_smallmatrix_default_align:]
-  {\MT_smallmatrix_begin:N #1}
-  {\MT_smallmatrix_end:}
-\def\MT_fenced_sm_generator:nnn #1#2#3{%
-  \@ifundefined{#1}{%
-    \newenvironment{#1}
-    {\@nameuse{#1hook}\mathopen{}\mathclose\bgroup\left#2\MT_smallmatrix_begin:N c}%
-      {\MT_smallmatrix_end:\aftergroup\egroup\right#3}%
-  }{}%
-  \@ifundefined{#1*}{%
-    \newenvironment{#1*}[1][\MT_smallmatrix_default_align:]%
-    {\@nameuse{#1hook}\mathopen{}\mathclose\bgroup\left#2\MT_smallmatrix_begin:N ##1}%
-      {\MT_smallmatrix_end:\aftergroup\egroup\right#3}%
-  }{}%
-}
-\MT_fenced_sm_generator:nnn{psmallmatrix}()
-\MT_fenced_sm_generator:nnn{bsmallmatrix}[]
-\MT_fenced_sm_generator:nnn{Bsmallmatrix}\lbrace\rbrace
-\MT_fenced_sm_generator:nnn{vsmallmatrix}\lvert\rvert
-\MT_fenced_sm_generator:nnn{Vsmallmatrix}\lVert\rVert
-\define@key{\MT_options_name:}
-  {smallmatrix-align}{\def\MT_smallmatrix_default_align:{#1}}
-\define@key{\MT_options_name:}
-  {smallmatrix-inner-space}{\def\MT_smallmatrix_inner_space:{#1}}
-\setkeys{\MT_options_name:}{
-  smallmatrix-align=c,
-  smallmatrix-inner-space=\,
-}
-
-\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:
-}
-\newcommand\SwapAboveDisplaySkip{%
-  \noalign{\vskip-\abovedisplayskip\vskip\abovedisplayshortskip}
-}
-
-\newcommand\MoveEqLeft[1][2]{\kern #1em  &   \kern -#1em}
-\newcommand\Aboxed[1]{\let\bgroup{\romannumeral-`}\@Aboxed#1&&\ENDDNE}
-\def\@Aboxed#1&#2&#3\ENDDNE{%
-  \ifnum0=`{}\fi \setbox \z@
-    \hbox{$\displaystyle#1{}\m@th$\kern\fboxsep \kern\fboxrule }%
-    \edef\@tempa {\kern  \wd\z@ &\kern -\the\wd\z@ \fboxsep
-        \the\fboxsep \fboxrule \the\fboxrule }\@tempa \boxed {#1#2}%
-}
-\MHInternalSyntaxOff
-\def\ArrowBetweenLines{\relax
-  \iffalse{\fi\ifnum0=`}\fi
-  \@ifstar{\ArrowBetweenLines@auxI{00}}{\ArrowBetweenLines@auxI{01}}}
-\def\ArrowBetweenLines@auxI#1{%
-  \@ifnextchar[%
-  {\ArrowBetweenLines@auxII{#1}}%
-  {\ArrowBetweenLines@auxII{#1}[\Updownarrow]}}
-\def\ArrowBetweenLines@auxII#1[#2]{%
-  \ifnum0=`{\fi \iffalse}\fi
-    \expandafter\in@\expandafter{\@currenvir}%
-      {alignedat,aligned,gathered}%
-      \ifin@ \else
-      \notag
-      \fi%
-   \\
-  \noalign{\nobreak\vskip-\baselineskip\vskip-\lineskip}%
-  \noalign{\expandafter\in@\expandafter{\@currenvir}%
-      {alignedat,aligned,gathered}%
-      \ifin@ \else\notag\fi%
-  }%
-  \if#1 &&\quad #2\else #2\quad\fi
-  \\\noalign{\nobreak\vskip-\lineskip}}
-
-\MHInternalSyntaxOn
-\newcommand\vdotswithin[1]{%
-  {\mathmakebox[\widthof{\ensuremath{{}#1{}}}][c]{{\vdots}}}}
-\newlength\origjot
-\setlength\origjot{\jot}
-\newdimen\l_MT_shortvdotswithinadjustabove_dim
-\newdimen\l_MT_shortvdotswithinadjustbelow_dim
-\define@key{\MT_options_name:}
-  {shortvdotsadjustabove}{\setlength\l_MT_shortvdotswithinadjustabove_dim{#1}}
-\define@key{\MT_options_name:}
-  {shortvdotsadjustbelow}{\setlength\l_MT_shortvdotswithinadjustbelow_dim{#1}}
-\setkeys{\MT_options_name:}{
-  shortvdotsadjustabove=2.15\origjot,
-  shortvdotsadjustbelow=\origjot
-}
-\def\shortvdotswithin{\relax
-  \@ifstar{\MT_svwi_aux:nn{00}}{\MT_svwi_aux:nn{01}}}
-\def\MT_svwi_aux:nn #1#2{
-  \MTFlushSpaceAbove
-  \if#1 \vdotswithin{#2}& \else &\vdotswithin{#2}  \fi
-  \MTFlushSpaceBelow
-}
-\def\MT_remove_tag_unless_inner:n #1{%
-  \begingroup
-  \def\etb@tempa##1|#1|##2\MT@END{\endgroup
-    \ifx\@empty##2\@empty\notag\fi}%
-  \expandafter\etb@tempa\expandafter|alignedat|aligned|split|#1|\MT@END}
-  %| emacs
-\newcommand\MTFlushSpaceAbove{
-  \expandafter\MT_remove_tag_unless_inner:n\expandafter{\@currenvir}
-  \\
-  \noalign{%
-    \nobreak\vskip-\baselineskip\vskip-\lineskip%
-      \vskip-\l_MT_shortvdotswithinadjustabove_dim
-      \vskip-\origjot
-      \vskip\jot
-  }%
-  \noalign{
-    \expandafter\MT_remove_tag_unless_inner:n\expandafter{\@currenvir}
-  }
-}
-\newcommand\MTFlushSpaceBelow{
-  \\\noalign{%
-    \nobreak\vskip-\lineskip
-    \vskip-\l_MT_shortvdotswithinadjustbelow_dim
-    \vskip-\origjot
-    \vskip\jot
-  }
-}
-
-\def\MH_nrotarrow:NN #1#2{%
-  \setbox0=\hbox{$\m@th#1\uparrow$}\dimen0=\dp0
-  \setbox0=\hbox{%
-    \reflectbox{\rotatebox[origin=c]{90}{$\m@th#1\mkern2.22mu #2$}}}%
-  \dp0=\dimen0 \box0 \mkern2.3965mu
-}
-\def\MH_nuparrow: {%
-  \mathrel{\mathpalette\MH_nrotarrow:NN\nrightarrow} }
-\def\MH_ndownarrow: {%
-  \mathrel{\mathpalette\MH_nrotarrow:NN\nleftarrow} }
-\AtBeginDocument{%
-  \RequirePackage{graphicx}%
-  \@ifundefined{nrightarrow}{%
-    \providecommand\nuparrow{%
-      \PackageError{mathtools}{\string\nuparrow\space~ is~
-        constructed~ from~ \string\nrightarrow,~ which~ is~ not~
-        provided.~ Please~ load~ the~ amssymb~ package~ or~ similar}{}
-    }}{ \providecommand\nuparrow{\MH_nuparrow:}}
-  \@ifundefined{nleftarrow}{%
-    \providecommand\ndownarrow{%
-      \PackageError{mathtools}{\string\ndownarrow\space~ is~
-        constructed~ from~ \string\nleftarrow,~ which~ is~ not~
-        provided.~ Please~ load~ the~ amssymb~ package~ or~ similar}{}
-    }}{ \providecommand\ndownarrow{\MH_ndownarrow:}} }
-\def\MH_bigtimes_scaler:N #1{%
-  \vcenter{\hbox{#1$\m@th\mkern-2mu\times\mkern-2mu$}}}
-\def\MH_bigtimes_inner: {
-  \mathchoice{\MH_bigtimes_scaler:N \huge}         % display style
-             {\MH_bigtimes_scaler:N \LARGE}        % text style
-             {\MH_bigtimes_scaler:N {}}            % script style
-             {\MH_bigtimes_scaler:N \footnotesize} % script script style
-}
-\def\MH_csym_bigtimes: {\mathop{\MH_bigtimes_inner:}\displaylimits}
-\AtBeginDocument{
-  \providecommand\bigtimes{\MH_csym_bigtimes:}
-}
-\MH_let:NwN \MT_orig_intertext: \intertext@
-\newdimen\l_MT_above_intertext_sep
-\newdimen\l_MT_below_intertext_sep
-\define@key{\MT_options_name:}
-  {aboveintertextdim}{\setlength\l_MT_above_intertext_sep{#1}}
-\define@key{\MT_options_name:}
-  {belowintertextdim}{\setlength\l_MT_below_intertext_sep{#1}}
-\define@key{\MT_options_name:}
-  {above-intertext-dim}{\setlength\l_MT_above_intertext_sep{#1}}
-\define@key{\MT_options_name:}
-  {below-intertext-dim}{\setlength\l_MT_below_intertext_sep{#1}}
-\define@key{\MT_options_name:}
-  {above-intertext-sep}{\setlength\l_MT_above_intertext_sep{#1}}
-\define@key{\MT_options_name:}
-  {below-intertext-sep}{\setlength\l_MT_below_intertext_sep{#1}}
-\def\MT_intertext: {%
-  \def\intertext##1{%
-    \ifvmode\else\\\@empty\fi
-    \noalign{%
-      \penalty\postdisplaypenalty\vskip\belowdisplayskip
-      \vskip-\lineskiplimit      % CCS
-      \vskip\normallineskiplimit % CCS
-      \vskip\l_MT_above_intertext_sep
-       \vbox{\normalbaselines
-        \ifdim\linewidth=\columnwidth
-        \else \parshape\@ne \@totalleftmargin \linewidth
-        \fi
-        \noindent##1\par}%
-      \penalty\predisplaypenalty\vskip\abovedisplayskip%
-      \vskip-\lineskiplimit      % CCS
-      \vskip\normallineskiplimit % CCS
-      \vskip\l_MT_above_intertext_sep
-   }%
-}}
-\def\MT_orig_intertext_true:  { \MH_let:NwN \intertext@ \MT_orig_intertext: }
-\def\MT_orig_intertext_false: { \MH_let:NwN \intertext@ \MT_intertext: }
-\define@key{\MT_options_name:}{original-intertext}[true]{
-  \@nameuse{MT_orig_intertext_#1:}
-}
-\setkeys{\MT_options_name:}{
-  original-intertext=false
-}
-\def\MT_orig_shortintertext:n #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%
-  }%
-}
-\newdimen\l_MT_above_shortintertext_sep
-\newdimen\l_MT_below_shortintertext_sep
-\define@key{\MT_options_name:}
-  {aboveshortintertextdim}{\setlength \l_MT_above_shortintertext_sep{#1}}
-\define@key{\MT_options_name:}
-  {belowshortintertextdim}{\setlength \l_MT_below_shortintertext_sep{#1}}
-\define@key{\MT_options_name:}
-  {above-short-intertext-dim}{\setlength \l_MT_above_shortintertext_sep{#1}}
-\define@key{\MT_options_name:}
-  {below-short-intertext-dim}{\setlength \l_MT_below_shortintertext_sep{#1}}
-\define@key{\MT_options_name:}
-  {above-short-intertext-sep}{\setlength \l_MT_above_shortintertext_sep{#1}}
-\define@key{\MT_options_name:}
-  {below-short-intertext-sep}{\setlength \l_MT_below_shortintertext_sep{#1}}
-\define@key{\MT_options_name:}
-  {above-shortintertext-sep}{\setlength \l_MT_above_shortintertext_sep{#1}}
-\define@key{\MT_options_name:}
-  {below-shortintertext-sep}{\setlength \l_MT_below_shortintertext_sep{#1}}
-\setkeys{\MT_options_name:}{
-  aboveshortintertextdim=3pt,
-  belowshortintertextdim=3pt
-}
-\def\MT_shortintertext:n #1{%
-  \ifvmode\else\\\@empty\fi
-  \noalign{%
-    \penalty\postdisplaypenalty\vskip\abovedisplayshortskip
-    \vskip-\lineskiplimit
-    \vskip\normallineskiplimit
-    \vskip\l_MT_above_shortintertext_sep
-    \vbox{\normalbaselines
-      \if_dim:w \linewidth=\columnwidth
-      \else:
-        \parshape\@ne \@totalleftmargin \linewidth
-      \fi:
-      \noindent#1\par}%
-    \penalty\predisplaypenalty\vskip\abovedisplayshortskip%
-    \vskip-\lineskiplimit
-    \vskip\normallineskiplimit
-    \vskip\l_MT_below_shortintertext_sep
-  }%
-}
-\def\MT_orig_shortintertext_true:  { \MH_let:NwN \shortintertext \MT_orig_shortintertext:n }
-\def\MT_orig_shortintertext_false: { \MH_let:NwN \shortintertext \MT_shortintertext:n }
-\define@key{\MT_options_name:}{original-shortintertext}[true]{
-  \@nameuse{MT_orig_shortintertext_#1:}
-}
-\setkeys{\MT_options_name:}{
-  original-shortintertext=false
-}
-\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}}
-}
-\newcommand{\MT_prescript_inner:}[4]{
-  \@mathmeasure\z@#4{\MT_prescript_sup:{#1}}
-  \@mathmeasure\tw@#4{\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}
-}
-\DeclareRobustCommand{\prescript}[3]{
-  \mathchoice
-    {\MT_prescript_inner:{#1}{#2}{#3}{\scriptstyle}}
-    {\MT_prescript_inner:{#1}{#2}{#3}{\scriptstyle}}
-    {\MT_prescript_inner:{#1}{#2}{#3}{\scriptscriptstyle}}
-    {\MT_prescript_inner:{#1}{#2}{#3}{\scriptscriptstyle}}
-}
-\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_if_boolean:nTF {robustify}{
-      \MH_let:NwN \MT_mathic_redeffer: \DeclareRobustCommand
-    }{
-      \MH_let:NwN \MT_mathic_redeffer: \renewcommand
-    }
-    \MH_let:NwN \MT_begin_inlinemath: \(
-    %\renewcommand*\({
-    \MT_mathic_redeffer:*\({
-      \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_if_boolean:nTF {robustify}{
-      \edef\({\MT_begin_inlinemath:}%
-      \forced_EQ_MakeRobust\(%
-    }{
-      \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'.