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\NeedsTeXFormat{LaTeX2e}[1999/12/01]
\def\fileversion{1.1}
\def\filedate{2017/08/16}
\ProvidesPackage{libertinust1math}
    [\filedate\space v\fileversion---latex support for LibertinusT1Math (msharpe)]

\RequirePackage{xkeyval}
\newif\iflibus@upint %\libus@upintfalse
\newif\iflibus@ams % amsfonts
\newif\iflibus@frenchm
\newif\iflibus@slantedG % slanted capital Greek
\newif\iflibus@sansmath %substitute sans for letters and operators
\newif\iflibus@ISO % 
\newif\iflibus@nosans % do not load sans math, \mathsf excepted
\newif\iflibus@reuseMathAlphabets
\newif\iflibus@mathsfit % 
\let\libus@lcgc\mathord

\DeclareOptionX{lcgreekalpha}{\let\libus@lcgc\mathalpha}
\DeclareOptionX{upint}       {\libus@upinttrue}
\DeclareOptionX{frenchmath}       {\libus@frenchmtrue}
\DeclareOptionX{slantedGreek}       {\libus@slantedGtrue}
\DeclareOptionX{uprightGreek}     {\libus@slantedGfalse}
\DeclareOptionX{ISO}       {\libus@ISOtrue}
\DeclareOptionX{nosans}       {\libus@nosanstrue}
\DeclareOptionX{sansmath}       {\libus@sansmathtrue}
\DeclareOptionX{reuseMathAlphabets}  {\libus@reuseMathAlphabetstrue}
\DeclareOptionX{mathsfit}       {\libus@mathsfittrue}
\DeclareOptionX{scale}       {\def\libus@scale{#1}}
\DeclareOptionX{scaled}       {\def\libus@scale{#1}}
\ProcessOptionsX\relax

\iflibus@frenchm\libus@slantedGfalse\fi
\iflibus@sansmath\libus@nosanstrue\fi
\iflibus@mathsfit\libus@nosansfalse\fi
\iflibus@ISO\libus@sansmathfalse%
 \let\libus@lcgc\mathalpha\libus@slantedGtrue\fi
\iflibus@reuseMathAlphabets\libus@nosansfalse\fi

\iflibus@reuseMathAlphabets
  \PackageWarningNoLine{libertinust1math}{%
    Re-using math alphabet `mathsf' for \protect \mathsfbfit
    \MessageBreak and `mathbf' for \protect \mathbfit
  }
\fi

\RequirePackage{amsmath}
\def\libus@undefine#1{%
    \if\relax\noexpand#1\let#1=\@undefined\fi}
\def\libus@MathSymbol#1#2#3#4{%
    \libus@undefine#1%
    \DeclareMathSymbol{#1}{#2}{#3}{#4}}
\def\libus@MathDelimiter#1#2#3#4#5#6{%
    \libus@undefine#1%
    \DeclareMathDelimiter{#1}{#2}{#3}{#4}{#5}{#6}}
\def\libus@MathAccent#1#2#3#4{%
    \libus@undefine#1%
    \DeclareMathAccent{#1}{#2}{#3}{#4}}
\def\libus@MathRadical#1#2#3#4{%
    \libus@undefine#1%
    \DeclareMathRadical{#1}{#2}{#3}{#4}}

\DeclareFontEncoding{LS1}{}{}
\DeclareFontEncoding{LS2}{}{\noaccents@}
\DeclareFontSubstitution{LS1}{libertinust1math}{m}{n}
\DeclareFontSubstitution{LS2}{libertinust1mathex}{m}{n}
\DeclareFontSubstitution{LS2}{libertinust1mathsym}{m}{n}
\DeclareSymbolFont{letters}       {LS1}{libertinust1math}     {m}{it}
\DeclareSymbolFont{operators}     {LS1}{libertinust1math}     {m} {n}
\DeclareSymbolFont{symbolsbb}      {LS1}{libertinust1mathbb}   {m} {n}
\DeclareSymbolFont{symbols}       {LS2}{libertinust1mathsym}  {m} {n}
\DeclareSymbolFont{largesymbols}  {LS2}{libertinust1mathex}   {m} {n}
\DeclareMathAlphabet{\mathsf}{LS1}{libertinust1mathsf}   {m} {n}
\DeclareMathAlphabet{\mathsfbf}   {LS1}{libertinust1mathsf}   {b} {n}
\iflibus@nosans
\else
%  \DeclareSymbolFont{sans}       {LS1}{libertinust1mathsf}  {m} {n}
%  \DeclareSymbolFont{sansi}       {LS1}{libertinust1mathsf}  {m} {it}
%  \SetSymbolFont{sans}       {bold}{LS1}{libertinust1mathsf}  {b} {n}
%  \SetSymbolFont{sansi}       {bold}{LS1}{libertinust1mathsf}  {b} {it}
  \DeclareMathAlphabet{\mathsfbfit}  {LS1}{libertinust1mathsf} {b} {it}
  \DeclareMathAlphabet{\mathsfbf}  {LS1}{libertinust1mathsf} {b} {n}
\fi
\SetSymbolFont{letters}     {bold}{LS1}{libertinust1math}     {b}{it}
\SetSymbolFont{operators}   {bold}{LS1}{libertinust1math}     {b} {n}
\DeclareSymbolFont{bold-operators}{LS1}{libertinust1math}     {b} {n}
\DeclareSymbolFont{bold-letters}{LS1}{libertinust1math}     {b} {it}
\DeclareSymbolFontAlphabet{\mathit}  {letters}
\DeclareSymbolFontAlphabet{\mathrm}  {operators}
\DeclareSymbolFontAlphabet{\mathbf}  {bold-operators}
\iflibus@reuseMathAlphabets
  \DeclareSymbolFontAlphabet{\mathbf}  {bold-letters}
  \def\mathbfit{\mathbf}
\else
  \DeclareSymbolFontAlphabet{\mathbfit}{bold-letters}
\fi
\iflibus@nosans
\else
  \iflibus@ISO
    %\DeclareSymbolFontAlphabet{\mathsf}  {sans}
    \iflibus@mathsfit
      %\DeclareSymbolFontAlphabet{\mathsfit}  {sansi}
      \DeclareMathAlphabet{\mathsfit}{LS1}{libertinust1mathsf}{m}{it}		  \SetMathAlphabet{\mathsfit}{bold}{LS1}{libertinust1mathsf}{b}{it}
  	  \def\mathsans{\mathsfit}
    \fi
	\iflibus@reuseMathAlphabets
  	  \DeclareMathAlphabet{\mathsf}{LS1}{libertinust1mathsf}{b}{it}
  	  \def\mathsfbfit{\mathsf}
	\fi    
	%\DeclareMathAlphabet{\mathsfbfit}{LS1}{libertinust1mathsf} {b}{it}
	\def\mathboldsans{\mathsfbfit}
	\def\mathbold{\mathbfit}
	\providecommand*{\vectorsym}{\mathbfit}
	\providecommand*{\matrixsym}{\mathbfit}
	\providecommand*{\tensorsym}{\mathsfbfit}

  \else % not ISO
    \SetMathAlphabet{\mathsf}{bold}{LS1}{libertinust1mathsf}{b}{n}
    \def\mathboldsans{\mathsfbfit}
	\iflibus@mathsfit
      %\DeclareSymbolFontAlphabet{\mathsfit}  {sansi}
      \DeclareMathAlphabet{\mathsfit}{LS1}{libertinust1mathsf}{m}{it}		  \SetMathAlphabet{\mathsfit}{bold}{LS1}{libertinust1mathsf}{b}{it}
  	  \def\mathsans{\mathsfit}
    \fi
  \fi
\fi
\DeclareFontFamily{U}{stixcal}{\skewchar\font127 }
\DeclareFontShape{U}{stixcal}{m}{n} {<->  stix-mathcal}{}
\DeclareFontShape{U}{stixcal}{b}{n} {<->  stix-mathcal-bold}{}
\DeclareMathAlphabet{\mathcal}{U}{stixcal}{m}{n}
\SetMathAlphabet{\mathcal}{bold}{U}{stixcal}{b}{n}
\DeclareMathAlphabet{\mathbcal} {U}{stixcal}{b}{n}
\DeclareSymbolFontAlphabet{\mathbb}  {symbolsbb}




\libus@MathSymbol{\upGamma}      {\mathalpha}{operators}{"00}
\libus@MathSymbol{\upDelta}      {\mathalpha}{operators}{"01}
\libus@MathSymbol{\upTheta}      {\mathalpha}{operators}{"02}
\libus@MathSymbol{\upLambda}     {\mathalpha}{operators}{"03}
\libus@MathSymbol{\upXi}         {\mathalpha}{operators}{"04}
\libus@MathSymbol{\upPi}         {\mathalpha}{operators}{"05}
\libus@MathSymbol{\upSigma}      {\mathalpha}{operators}{"06}
\libus@MathSymbol{\upUpsilon}    {\mathalpha}{operators}{"07}
\libus@MathSymbol{\upPhi}        {\mathalpha}{operators}{"08}
\libus@MathSymbol{\upPsi}        {\mathalpha}{operators}{"09}
\libus@MathSymbol{\upOmega}      {\mathalpha}{operators}{"0A}
\libus@MathSymbol{\upalpha}     {\libus@lcgc}{operators}{"0B}
\libus@MathSymbol{\upbeta}      {\libus@lcgc}{operators}{"0C}
\libus@MathSymbol{\upgamma}     {\libus@lcgc}{operators}{"0D}
\libus@MathSymbol{\updelta}     {\libus@lcgc}{operators}{"0E}
\libus@MathSymbol{\upepsilon}   {\libus@lcgc}{operators}{"0F}
\libus@MathSymbol{\upzeta}      {\libus@lcgc}{operators}{"10}
\libus@MathSymbol{\upeta}       {\libus@lcgc}{operators}{"11}
\libus@MathSymbol{\uptheta}     {\libus@lcgc}{operators}{"12}
\libus@MathSymbol{\upiota}      {\libus@lcgc}{operators}{"13}
\libus@MathSymbol{\upkappa}     {\libus@lcgc}{operators}{"14}
\libus@MathSymbol{\uplambda}    {\libus@lcgc}{operators}{"15}
\libus@MathSymbol{\upmu}        {\libus@lcgc}{operators}{"16}
\libus@MathSymbol{\upnu}        {\libus@lcgc}{operators}{"17}
\libus@MathSymbol{\upxi}        {\libus@lcgc}{operators}{"18}
\libus@MathSymbol{\uppi}        {\libus@lcgc}{operators}{"19}
\libus@MathSymbol{\uprho}       {\libus@lcgc}{operators}{"1A}
\libus@MathSymbol{\upsigma}     {\libus@lcgc}{operators}{"1B}
\libus@MathSymbol{\uptau}       {\libus@lcgc}{operators}{"1C}
\libus@MathSymbol{\upupsilon}   {\libus@lcgc}{operators}{"1D}
\libus@MathSymbol{\upphi}       {\libus@lcgc}{operators}{"1E}
\libus@MathSymbol{\upchi}       {\libus@lcgc}{operators}{"1F}
\libus@MathSymbol{\uppsi}       {\libus@lcgc}{operators}{"20}
\libus@MathSymbol{\upomega}     {\libus@lcgc}{operators}{"21}
\libus@MathSymbol{\upvarepsilon}{\libus@lcgc}{operators}{"22}
\libus@MathSymbol{\upvartheta}  {\libus@lcgc}{operators}{"23}
\libus@MathSymbol{\upvarpi}     {\libus@lcgc}{operators}{"24}
\libus@MathSymbol{\upvarrho}    {\libus@lcgc}{operators}{"25}
\libus@MathSymbol{\upvarsigma}  {\libus@lcgc}{operators}{"26}
\libus@MathSymbol{\upvarphi}    {\libus@lcgc}{operators}{"27}
\libus@MathSymbol{\nabla}     {\libus@lcgc}{operators}{"28}
\libus@MathSymbol{\uppartial}   {\libus@lcgc}{operators}{"29}
\libus@MathSymbol{\partial}   {\libus@lcgc}{letters}{"29}
\libus@MathSymbol{\upvarkappa}  {\libus@lcgc}{operators}{"FE}
%
\let\Gammaup\upGamma
\let\Deltaup\upDelta
\let\Thetaup\upTheta
\let\Lambdaup\upLambda
\let\Xiup\upXi
\let\Piup\upPi
\let\Gammaup\upGamma
\let\Sigmaup\upSigma
\let\Upsilonup\upUpsilon
\let\Phiup\upPhi
\let\Psiup\upPsi
\let\Omegaup\upOmega
\let\alphaup\upalpha
\let\betaup\upbeta
\let\gammaup\upgamma
\let\deltaup\updelta
\let\epsilonup\upepsilon
\let\zetaup\upzeta
\let\etaup\upeta
\let\thetaup\uptheta
\let\iotaup\upiota
\let\kappaup\upkappa
\let\lambdaup\uplambda
\let\muup\upmu
\let\nuup\upnu
\let\xiup\upxi
\let\piup\uppi
\let\rhoup\uprho
\let\sigmaup\upsigma
\let\tauup\uptau
\let\upsilonup\upupsilon
\let\phiup\upphi
\let\chiup\upchi
\let\psiup\uppsi
\let\omegaup\upomega
\let\varepsilonup\upvarepsilon
\let\varthetaup\upvartheta
\let\varpiup\upvarpi
\let\varrhoup\upvarrho
\let\varsigmaup\upvarsigma
\let\varphiup\upvarphi
\let\varkappaup\upvarkappa
%
\libus@MathSymbol{\Gammait}{\mathalpha}{letters}{0}
\libus@MathSymbol{\Deltait}{\mathalpha}{letters}{1}
\libus@MathSymbol{\Thetait}{\mathalpha}{letters}{2}
\libus@MathSymbol{\Lambdait}{\mathalpha}{letters}{3}
\libus@MathSymbol{\Xiit}{\mathalpha}{letters}{4}
\libus@MathSymbol{\Piit}{\mathalpha}{letters}{5}
\libus@MathSymbol{\Sigmait}{\mathalpha}{letters}{6}
\libus@MathSymbol{\Upsilonit}{\mathalpha}{letters}{7}
\libus@MathSymbol{\Phiit}{\mathalpha}{letters}{8}
\libus@MathSymbol{\Psiit}{\mathalpha}{letters}{9}
\libus@MathSymbol{\Omegait}{\mathalpha}{letters}{10}
\libus@MathSymbol{\alphait}{\libus@lcgc}{letters}{11}
\libus@MathSymbol{\betait}{\libus@lcgc}{letters}{12}
\libus@MathSymbol{\gammait}{\libus@lcgc}{letters}{13}
\libus@MathSymbol{\deltait}{\libus@lcgc}{letters}{14}
\libus@MathSymbol{\epsilonit}{\libus@lcgc}{letters}{15}
\libus@MathSymbol{\zetait}{\libus@lcgc}{letters}{16}
\libus@MathSymbol{\etait}{\libus@lcgc}{letters}{17}
\libus@MathSymbol{\thetait}{\libus@lcgc}{letters}{18}
\libus@MathSymbol{\iotait}{\libus@lcgc}{letters}{19}
\libus@MathSymbol{\kappait}{\libus@lcgc}{letters}{20}
\libus@MathSymbol{\lambdait}{\libus@lcgc}{letters}{21}
\libus@MathSymbol{\muit}{\libus@lcgc}{letters}{22}
\libus@MathSymbol{\nuit}{\libus@lcgc}{letters}{23}
\libus@MathSymbol{\xiit}{\libus@lcgc}{letters}{24}
\libus@MathSymbol{\piit}{\libus@lcgc}{letters}{25}
\libus@MathSymbol{\rhoit}{\libus@lcgc}{letters}{26}
\libus@MathSymbol{\sigmait}{\libus@lcgc}{letters}{27}
\libus@MathSymbol{\tauit}{\libus@lcgc}{letters}{28}
\libus@MathSymbol{\upsilonit}{\libus@lcgc}{letters}{29}
\libus@MathSymbol{\phiit}{\libus@lcgc}{letters}{30}
\libus@MathSymbol{\chiit}{\libus@lcgc}{letters}{31}
\libus@MathSymbol{\psiit}{\libus@lcgc}{letters}{32}
\libus@MathSymbol{\omegait}{\libus@lcgc}{letters}{33}
\libus@MathSymbol{\varepsilonit}{\libus@lcgc}{letters}{34}
\libus@MathSymbol{\varthetait}{\libus@lcgc}{letters}{35}
\libus@MathSymbol{\varpiit}{\libus@lcgc}{letters}{36}
\libus@MathSymbol{\varrhoit}{\libus@lcgc}{letters}{37}
\libus@MathSymbol{\varsigmait}{\libus@lcgc}{letters}{38}
\libus@MathSymbol{\varphiit}{\libus@lcgc}{letters}{39}
\libus@MathSymbol{\varkappait}{\libus@lcgc}{letters}{"FE}
\iflibus@slantedG
    \let\Gamma\Gammait
    \let\Delta\Deltait
    \let\Theta\Thetait
    \let\Lambda\Lambdait
    \let\Xi\Xiit
    \let\Pi\Piit       
    \let\Sigma\Sigmait
    \let\Upsilon\Upsilonit
    \let\Phi\Phiit
    \let\Psi\Psiit
    \let\Omega\Omegait
\else
    \let\Gamma\upGamma      
    \let\Delta\upDelta      
    \let\Theta\upTheta      
    \let\Lambda\upLambda     
    \let\Xi\upXi         
    \let\Pi\upPi         
    \let\Sigma\upSigma      
    \let\Upsilon\upUpsilon      
    \let\Phi\upPhi        
    \let\Psi\upPsi        
    \let\Omega\upOmega      
\fi
%

\libus@MathSymbol{0}     {\mathalpha}{operators}{`0}
\libus@MathSymbol{1}     {\mathalpha}{operators}{`1}
\libus@MathSymbol{2}     {\mathalpha}{operators}{`2}
\libus@MathSymbol{3}     {\mathalpha}{operators}{`3}
\libus@MathSymbol{4}     {\mathalpha}{operators}{`4}
\libus@MathSymbol{5}     {\mathalpha}{operators}{`5}
\libus@MathSymbol{6}     {\mathalpha}{operators}{`6}
\libus@MathSymbol{7}     {\mathalpha}{operators}{`7}
\libus@MathSymbol{8}     {\mathalpha}{operators}{`8}
\libus@MathSymbol{9}     {\mathalpha}{operators}{`9}
\libus@MathSymbol{A}     {\mathalpha}{letters}  {`A}
\libus@MathSymbol{B}     {\mathalpha}{letters}  {`B}
\libus@MathSymbol{C}     {\mathalpha}{letters}  {`C}
\libus@MathSymbol{D}     {\mathalpha}{letters}  {`D}
\libus@MathSymbol{E}     {\mathalpha}{letters}  {`E}
\libus@MathSymbol{F}     {\mathalpha}{letters}  {`F}
\libus@MathSymbol{G}     {\mathalpha}{letters}  {`G}
\libus@MathSymbol{H}     {\mathalpha}{letters}  {`H}
\libus@MathSymbol{I}     {\mathalpha}{letters}  {`I}
\libus@MathSymbol{J}     {\mathalpha}{letters}  {`J}
\libus@MathSymbol{K}     {\mathalpha}{letters}  {`K}
\libus@MathSymbol{L}     {\mathalpha}{letters}  {`L}
\libus@MathSymbol{M}     {\mathalpha}{letters}  {`M}
\libus@MathSymbol{N}     {\mathalpha}{letters}  {`N}
\libus@MathSymbol{O}     {\mathalpha}{letters}  {`O}
\libus@MathSymbol{P}     {\mathalpha}{letters}  {`P}
\libus@MathSymbol{Q}     {\mathalpha}{letters}  {`Q}
\libus@MathSymbol{R}     {\mathalpha}{letters}  {`R}
\libus@MathSymbol{S}     {\mathalpha}{letters}  {`S}
\libus@MathSymbol{T}     {\mathalpha}{letters}  {`T}
\libus@MathSymbol{U}     {\mathalpha}{letters}  {`U}
\libus@MathSymbol{V}     {\mathalpha}{letters}  {`V}
\libus@MathSymbol{W}     {\mathalpha}{letters}  {`W}
\libus@MathSymbol{X}     {\mathalpha}{letters}  {`X}
\libus@MathSymbol{Y}     {\mathalpha}{letters}  {`Y}
\libus@MathSymbol{Z}     {\mathalpha}{letters}  {`Z}
\libus@MathSymbol{a}     {\mathalpha}{letters}  {`a}
\libus@MathSymbol{b}     {\mathalpha}{letters}  {`b}
\libus@MathSymbol{c}     {\mathalpha}{letters}  {`c}
\libus@MathSymbol{d}     {\mathalpha}{letters}  {`d}
\libus@MathSymbol{e}     {\mathalpha}{letters}  {`e}
\libus@MathSymbol{f}     {\mathalpha}{letters}  {`f}
\libus@MathSymbol{g}     {\mathalpha}{letters}  {`g}
\libus@MathSymbol{h}     {\mathalpha}{letters}  {`h}
\libus@MathSymbol{i}     {\mathalpha}{letters}  {`i}
\libus@MathSymbol{j}     {\mathalpha}{letters}  {`j}
\libus@MathSymbol{k}     {\mathalpha}{letters}  {`k}
\libus@MathSymbol{l}     {\mathalpha}{letters}  {`l}
\libus@MathSymbol{m}     {\mathalpha}{letters}  {`m}
\libus@MathSymbol{n}     {\mathalpha}{letters}  {`n}
\libus@MathSymbol{o}     {\mathalpha}{letters}  {`o}
\libus@MathSymbol{p}     {\mathalpha}{letters}  {`p}
\libus@MathSymbol{q}     {\mathalpha}{letters}  {`q}
\libus@MathSymbol{r}     {\mathalpha}{letters}  {`r}
\libus@MathSymbol{s}     {\mathalpha}{letters}  {`s}
\libus@MathSymbol{t}     {\mathalpha}{letters}  {`t}
\libus@MathSymbol{u}     {\mathalpha}{letters}  {`u}
\libus@MathSymbol{v}     {\mathalpha}{letters}  {`v}
\libus@MathSymbol{w}     {\mathalpha}{letters}  {`w}
\libus@MathSymbol{x}     {\mathalpha}{letters}  {`x}
\libus@MathSymbol{y}     {\mathalpha}{letters}  {`y}
\libus@MathSymbol{z}     {\mathalpha}{letters}  {`z}
\libus@MathSymbol{\imath}{\mathalpha}{letters}  {"7B}
\libus@MathSymbol{\jmath}{\mathalpha}{letters}  {"7C}
\libus@MathSymbol{\aleph} {\mathord}{letters}{"2A}
\libus@MathSymbol{\beth}  {\mathord}{letters}{"2B}
\libus@MathSymbol{\gimel} {\mathord}{letters}{"2C}
\libus@MathSymbol{\daleth}{\mathord}{letters}{"2D}
\libus@MathSymbol{\hbar}  {\mathord}{letters}{"60}
\libus@MathSymbol{\hslash}{\mathord}{letters}{"3D}
%%\libus@MathSymbol{\ell}       {\mathord}  {symbols}{`l}
%\libus@MathSymbol{\wp}        {\mathord}  {symbols}{"7D}
%\libus@MathSymbol{\Re}        {\mathord}  {symbols}{"7B}
%\libus@MathSymbol{\Im}        {\mathord}  {symbols}{"7C}
\libus@MathSymbol{-}          {\mathbin}  {operators}{"2A}
\libus@MathSymbol{+}          {\mathbin}  {operators}{`+}
\libus@MathSymbol{\pm}        {\mathbin}  {operators}{"2C}
\libus@MathSymbol{\mp}        {\mathbin}  {operators}{"2D}
\libus@MathSymbol{:}          {\mathrel}  {operators}{`:}
\libus@MathSymbol{;}          {\mathpunct}{operators}{`;}
\libus@MathSymbol{*}          {\mathrel}  {operators}{"3C}
\libus@MathSymbol{\ast}       {\mathrel}  {operators}{"3C}
\libus@MathSymbol{=}          {\mathrel}  {operators}{`=}
\libus@MathSymbol{\mathdollar}{\mathord}  {operators}{"3E}
\libus@MathSymbol{?}          {\mathclose}{operators}{`?}
\libus@MathSymbol{!}          {\mathclose}{operators}{"40}
\libus@MathSymbol{#}          {\mathord}  {operators}{"7D}
\mathcode`\%="007E % can't use \libus@MathSymbol
\libus@MathSymbol{&}          {\mathord}  {operators}{"99}
\libus@MathSymbol{@}          {\mathord}  {operators}{"9A}
\libus@MathSymbol{.}          {\mathord}  {letters}  {"3A}
\libus@MathSymbol{\ldotp}     {\mathpunct}{letters}  {"3A}
\libus@MathSymbol{,}          {\mathpunct}{letters}  {"3B}
\libus@MathSymbol{\star}      {\mathbin}  {letters}  {"3F}
\libus@MathSymbol{\flat}      {\mathord}  {letters}  {"5B}
\libus@MathSymbol{\natural}   {\mathord}  {letters}  {"5C}
\libus@MathSymbol{\sharp}     {\mathord}  {letters}  {"5D}
\libus@MathSymbol{\smile}     {\mathrel}  {letters}  {"5E}
\libus@MathSymbol{\frown}     {\mathrel}  {letters}  {"5F}
\libus@MathSymbol{\triangleright} {\mathbin}{letters}{"2E}
\libus@MathSymbol{\triangleleft}  {\mathbin}{letters}{"2F}

\iflibus@frenchm
  \let\alpha\alphaup
  \let\beta\betaup
  \let\gamma\gammaup
  \let\delta\deltaup
  \let\epsilon\epsilonup
  \let\zeta\zetaup
  \let\eta\etaup
  \let\theta\thetaup
  \let\iota\iotaup
  \let\kappa\kappaup
  \let\lambda\lambdaup
  \let\mu\muup
  \let\nu\nuup
  \let\xi\xiup
  \let\pi\piup
  \let\rho\rhoup
  \let\sigma\sigmaup
  \let\tau\tauup
  \let\upsilon\upsilonup
  \let\phi\phiup
  \let\chi\chiup
  \let\psi\psiup
  \let\omega\omegaup
  \let\varepsilon\varepsilonup
  \let\vartheta\varthetaup
  \let\varpi\varpiup
  \let\varrho\varrhoup
  \let\varsigma\varsigmaup
  \let\varphi\varphiup
  \let\varkappa\varkappaup
  \DeclareMathSymbol{A}{\mathalpha}{operators}{65}
  \DeclareMathSymbol{B}{\mathalpha}{operators}{66}
  \DeclareMathSymbol{C}{\mathalpha}{operators}{67}
  \DeclareMathSymbol{D}{\mathalpha}{operators}{68}
  \DeclareMathSymbol{E}{\mathalpha}{operators}{69}
  \DeclareMathSymbol{F}{\mathalpha}{operators}{70}
  \DeclareMathSymbol{G}{\mathalpha}{operators}{71}
  \DeclareMathSymbol{H}{\mathalpha}{operators}{72}
  \DeclareMathSymbol{I}{\mathalpha}{operators}{73}
  \DeclareMathSymbol{J}{\mathalpha}{operators}{74}
  \DeclareMathSymbol{K}{\mathalpha}{operators}{75}
  \DeclareMathSymbol{L}{\mathalpha}{operators}{76}
  \DeclareMathSymbol{M}{\mathalpha}{operators}{77}
  \DeclareMathSymbol{N}{\mathalpha}{operators}{78}
  \DeclareMathSymbol{O}{\mathalpha}{operators}{79}
  \DeclareMathSymbol{P}{\mathalpha}{operators}{80}
  \DeclareMathSymbol{Q}{\mathalpha}{operators}{81}
  \DeclareMathSymbol{R}{\mathalpha}{operators}{82}
  \DeclareMathSymbol{S}{\mathalpha}{operators}{83}
  \DeclareMathSymbol{T}{\mathalpha}{operators}{84}
  \DeclareMathSymbol{U}{\mathalpha}{operators}{85}
  \DeclareMathSymbol{V}{\mathalpha}{operators}{86}
  \DeclareMathSymbol{W}{\mathalpha}{operators}{87}
  \DeclareMathSymbol{X}{\mathalpha}{operators}{88}
  \DeclareMathSymbol{Y}{\mathalpha}{operators}{89}
  \DeclareMathSymbol{Z}{\mathalpha}{operators}{90}
\else
    \let\alpha\alphait
    \let\beta\betait
    \let\gamma\gammait
    \let\delta\deltait
    \let\epsilon\epsilonit
    \let\zeta\zetait
    \let\eta\etait
    \let\theta\thetait
    \let\iota\iotait
    \let\kappa\kappait
    \let\lambda\lambdait
    \let\mu\muit
    \let\nu\nuit
    \let\xi\xiit
    \let\pi\piit
    \let\rho\rhoit
    \let\sigma\sigmait
    \let\tau\tauit
    \let\upsilon\upsilonit
    \let\phi\phiit
    \let\chi\chiit
    \let\psi\psiit
    \let\omega\omegait
    \let\varepsilon\varepsilonit
    \let\vartheta\varthetait
    \let\varpi\varpiit
    \let\varrho\varrhoit
    \let\varsigma\varsigmait
    \let\varphi\varphiit
    \let\varkappa\varkappait
\fi

%\@ifpackageloaded{amsmath}{}{
%    \libus@MathSymbol{\colon}      {\mathpunct}{operators}{`:}
%}
\libus@MathDelimiter{(}          {\mathopen} {operators}   {"2E}{largesymbols}{"00}
\libus@MathDelimiter{)}          {\mathclose}{operators}   {"2F}{largesymbols}{"01}
%\libus@MathDelimiter{\lParen}    {\mathopen} {largesymbols}{"DE}{largesymbols}{"02}
%\libus@MathDelimiter{\rParen}    {\mathclose}{largesymbols}{"DF}{largesymbols}{"03}
\libus@MathDelimiter{[}          {\mathopen} {operators}   {"5B}{largesymbols}{"04}
\libus@MathDelimiter{]}          {\mathclose}{operators}   {"5D}{largesymbols}{"05}
\libus@MathDelimiter{\lBrack}    {\mathopen} {largesymbols}{"E0}{largesymbols}{"E0} % was "06
\let\dlb\lBrack
\libus@MathDelimiter{\rBrack}    {\mathclose}{largesymbols}{"E1}{largesymbols}{"E1} % was 07
\let\drb\rBrack
\libus@MathDelimiter{\lfloor}    {\mathopen} {largesymbols}{"E2}{largesymbols}{"08}
\libus@MathDelimiter{\rfloor}    {\mathclose}{largesymbols}{"E3}{largesymbols}{"09}
\libus@MathDelimiter{\lceil}     {\mathopen} {largesymbols}{"E4}{largesymbols}{"0A}
\libus@MathDelimiter{\rceil}     {\mathclose}{largesymbols}{"E5}{largesymbols}{"0B}
\libus@MathDelimiter{\lmoustache}{\mathopen} {largesymbols}{"E6}{largesymbols}{"EC} % was "EC
\libus@MathDelimiter{\rmoustache}{\mathclose}{largesymbols}{"E7}{largesymbols}{"ED} % was "ED
\libus@MathDelimiter{\lbrace}    {\mathopen} {operators}   {"5E}{largesymbols}{"0C}
\libus@MathDelimiter{\rbrace}    {\mathclose}{operators}   {"60}{largesymbols}{"0D}
%\libus@MathDelimiter{\lBrace}    {\mathopen} {largesymbols}{"E8}{largesymbols}{"0E}
%\libus@MathDelimiter{\rBrace}    {\mathclose}{largesymbols}{"E9}{largesymbols}{"0F}
\libus@MathDelimiter{\langle}    {\mathopen} {largesymbols}{"EA}{largesymbols}{"10}
\libus@MathDelimiter{\rangle}    {\mathclose}{largesymbols}{"EB}{largesymbols}{"11}
\libus@MathDelimiter{<}          {\mathopen} {largesymbols}{"EA}{largesymbols}{"10}
\libus@MathDelimiter{>}          {\mathclose}{largesymbols}{"EB}{largesymbols}{"11}
\libus@MathSymbol   {<}          {\mathrel}  {letters}{"3C}
\libus@MathSymbol   {>}          {\mathrel}  {letters}{"3E}
%\libus@MathDelimiter{\lAngle}    {\mathopen} {largesymbols}{"EC}{largesymbols}{"12}
%\libus@MathDelimiter{\rAngle}    {\mathclose}{largesymbols}{"ED}{largesymbols}{"13}
%\libus@MathDelimiter{\lbrbrak}   {\mathopen} {largesymbols}{"EE}{largesymbols}{"14}
%\libus@MathDelimiter{\rbrbrak}   {\mathclose}{largesymbols}{"EF}{largesymbols}{"15}
\libus@MathDelimiter{/}          {\mathord}  {operators}   {"5F}{largesymbols}{"16}
\libus@MathDelimiter{\backslash} {\mathord}  {operators}   {"5C}{largesymbols}{"17}
\expandafter\DeclareMathDelimiter\@backslashchar{\mathord}{operators}{"5C}{largesymbols}{"17}
\libus@MathDelimiter{\lgroup}    {\mathopen} {largesymbols}{"DC}{largesymbols}{"6A}
\libus@MathDelimiter{\rgroup}    {\mathclose}{largesymbols}{"DD}{largesymbols}{"6B}
\libus@MathDelimiter{\bracevert} {\mathord}  {largesymbols}{"6E}{largesymbols}{"6E}
\libus@MathDelimiter{|}          {\mathord}  {largesymbols}{"F0}{largesymbols}{"F3}
\libus@MathDelimiter{\vert}      {\mathord}  {largesymbols}{"F0}{largesymbols}{"F3}
\libus@MathDelimiter{\Vert}      {\mathord}  {largesymbols}{"F1}{largesymbols}{"F4}
        \let\|=\Vert
\libus@MathDelimiter{\Vvert}     {\mathord}  {largesymbols}{"F2}{largesymbols}{"F5}
%\@ifpackageloaded{amsmath}{
    \libus@MathDelimiter{\lvert} {\mathopen}  {largesymbols}{"F0}{largesymbols}{"F3}
    \libus@MathDelimiter{\rvert} {\mathclose} {largesymbols}{"F0}{largesymbols}{"F3}
    \libus@MathDelimiter{\lVert} {\mathopen}  {largesymbols}{"F1}{largesymbols}{"F4}
    \libus@MathDelimiter{\rVert} {\mathclose} {largesymbols}{"F1}{largesymbols}{"F4}
%}{}
\libus@MathDelimiter{\uparrow}    {\mathrel}{symbols}{"44}{symbols}{"44}
\libus@MathDelimiter{\downarrow}  {\mathrel}{symbols}{"46}{symbols}{"46}
\libus@MathDelimiter{\updownarrow}{\mathrel}{symbols}{"48}{symbols}{"48}
\libus@MathDelimiter{\Uparrow}    {\mathrel}{symbols}{"F3}{symbols}{"F3}
\libus@MathDelimiter{\Downarrow}  {\mathrel}{symbols}{"F5}{symbols}{"F5}
\libus@MathDelimiter{\Updownarrow}{\mathrel}{symbols}{"F7}{symbols}{"F7}
\libus@MathDelimiter{\arrowvert}  {\mathrel}{symbols}{"74}{symbols}{"74}
\libus@MathDelimiter{\Arrowvert}  {\mathrel}{symbols}{"75}{symbols}{"74}
\libus@MathRadical{\sqrtsign}    {largesymbols}{"F9}{largesymbols}{"74}
%\libus@MathRadical{\longdivision}{largesymbols}{"FA}{largesymbols}{"FA}
\def\surd{{\mathchar"13F9}}
\libus@MathSymbol{\smallintsl}             {\mathop}{symbols}{"08}
\libus@MathSymbol{\smalliintsl}            {\mathop}{symbols}{"09}
\libus@MathSymbol{\smalliiintsl}           {\mathop}{symbols}{"0A}
\libus@MathSymbol{\smallointsl}            {\mathop}{symbols}{"0B}
\libus@MathSymbol{\smalloiintsl}           {\mathop}{symbols}{"8D}
\libus@MathSymbol{\smalliiiintsl}          {\mathop}{symbols}{"0D}
\libus@MathSymbol{\smallintup}             {\mathop}{symbols}{"03}
\libus@MathSymbol{\smalliintup}            {\mathop}{symbols}{"04}
\libus@MathSymbol{\smalliiintup}           {\mathop}{symbols}{"05}
\libus@MathSymbol{\smallointup}            {\mathop}{symbols}{"06}
\libus@MathSymbol{\smalloiintup}           {\mathop}{symbols}{"8C}
%\libus@MathSymbol{\smalloiiintup}          {\mathop}{integrals}{"20}
\libus@MathSymbol{\smalliiiintup}          {\mathop}{symbols}{"07}
\libus@MathSymbol{\intslop}                {\mathop}{largesymbols}{"88}
\libus@MathSymbol{\iintslop}               {\mathop}{largesymbols}{"8A}
\libus@MathSymbol{\iiintslop}              {\mathop}{largesymbols}{"8C}
\libus@MathSymbol{\ointslop}               {\mathop}{largesymbols}{"8E}
\libus@MathSymbol{\oiintslop}              {\mathop}{largesymbols}{"93}
\libus@MathSymbol{\iiiintslop}             {\mathop}{largesymbols}{"90}
\libus@MathSymbol{\intupop}                {\mathop}{largesymbols}{"7E}
\libus@MathSymbol{\iintupop}               {\mathop}{largesymbols}{"80}
\libus@MathSymbol{\iiintupop}              {\mathop}{largesymbols}{"82}
\libus@MathSymbol{\ointupop}               {\mathop}{largesymbols}{"84}
\libus@MathSymbol{\oiintupop}              {\mathop}{largesymbols}{"92}
\libus@MathSymbol{\iiiintupop}             {\mathop}{largesymbols}{"86}

%\libus@MathSymbol{\circledS}               {\mathord}{integrals}{"3B}
%\libus@MathSymbol{\diagdown}               {\mathord}{integrals}{"3C}
%\libus@MathSymbol{\diagup}                 {\mathord}{integrals}{"3D}
%\libus@MathSymbol{\eth}                    {\mathord}{integrals}{"3E}
%\libus@MathSymbol{\smallfrown}             {\mathrel}{integrals}{"3F}
%\libus@MathSymbol{\smallsmile}             {\mathrel}{integrals}{"40}
%\libus@MathSymbol{\maltesemath}            {\mathord}{arrows3}{"83}
%\libus@MathSymbol{\circledstar}            {\mathord}{arrows3}{"84}
%\DeclareRobustCommand\yen{%
%  \ifmmode\yenmath\else{\fontencoding{TS1}\selectfont\char"A5}\fi}
%\DeclareRobustCommand\circledR{%
%  \ifmmode\circledRmath\else{\fontencoding{TS1}\selectfont\char"AE}\fi}
\DeclareRobustCommand\checkmark{\ensuremath{\checkmarkmath}}
%\DeclareRobustCommand\maltese{\ensuremath{\maltesemath}}
\iflibus@upint
    \let\smallint=\smallintup
    \let\smalliint=\smalliintup
    \let\smalliiint=\smalliiintup
    \let\smalloint=\smallointup
    \let\smalloiint=\smalloiintup
    \let\smalliiiint=\smalliiiintup
    \let\intop=\intupop
    \let\iintop=\iintupop
    \let\iiintop=\iiintupop
    \let\ointop=\ointupop
    \let\oiintop=\oiintupop
    \let\iiiintop=\iiiintupop
\else
    \let\smallint=\smallintsl
    \let\smalliint=\smalliintsl
    \let\smalliiint=\smalliiintsl
    \let\smalloint=\smallointsl
    \let\smalloiint=\smalloiintsl
    \let\smalliiiint=\smalliiiintsl
    \let\intop=\intslop
    \let\iintop=\iintslop
    \let\iiintop=\iiintslop
    \let\ointop=\ointslop
    \let\oiintop=\oiintslop
    \let\iiiintop=\iiiintslop
\fi
\def\int{\DOTSI\intop\ilimits@}
\def\iint{\DOTSI\iintop\ilimits@}
\def\iiint{\DOTSI\iiintop\ilimits@}
\def\oint{\DOTSI\ointop\ilimits@}
\def\oiint{\DOTSI\oiintop\ilimits@}
\def\iiiint{\DOTSI\iiiintop\ilimits@}
%\def\iintup{\DOTSI\iintupop\ilimits@}
%\def\iiintup{\DOTSI\iiintupop\ilimits@}
%\def\ointup{\DOTSI\ointupop\ilimits@}
%\def\oiintup{\DOTSI\oiintupop\ilimits@}
%\def\oiiintup{\DOTSI\oiiintupop\ilimits@}
%\libus@MathSymbol{\Bbbsumop}               {\mathop}{largesymbols}{"B0}
\libus@MathSymbol{\prodop}                 {\mathop}{largesymbols}{"B1}
\libus@MathSymbol{\coprodop}               {\mathop}{largesymbols}{"B2}
\libus@MathSymbol{\sumop}                  {\mathop}{largesymbols}{"B3}
\libus@MathSymbol{\bigwedgeop}             {\mathop}{largesymbols}{"B4}
\libus@MathSymbol{\bigveeop}               {\mathop}{largesymbols}{"B5}
\libus@MathSymbol{\bigcapop}               {\mathop}{largesymbols}{"B6}
\libus@MathSymbol{\bigcupop}               {\mathop}{largesymbols}{"B7}
\libus@MathSymbol{\xsolop}                 {\mathop}{largesymbols}{"B8}
\libus@MathSymbol{\xbsolop}                {\mathop}{largesymbols}{"B9}
\libus@MathSymbol{\bigodotop}              {\mathop}{largesymbols}{"BA}
\libus@MathSymbol{\bigoplusop}             {\mathop}{largesymbols}{"BB}
\libus@MathSymbol{\bigotimesop}            {\mathop}{largesymbols}{"BC}
\libus@MathSymbol{\bigcupdotop}            {\mathop}{largesymbols}{"BD}
\libus@MathSymbol{\biguplusop}             {\mathop}{largesymbols}{"BE}
\libus@MathSymbol{\bigsqcapop}             {\mathop}{largesymbols}{"BF}
\libus@MathSymbol{\bigsqcupop}             {\mathop}{largesymbols}{"C0}
%\def\Bbbsum{\DOTSI\Bbbsumop\slimits@}
\def\prod{\DOTSI\prodop\slimits@}
\def\coprod{\DOTSI\coprodop\slimits@}
\def\sum{\DOTSI\sumop\slimits@}
\def\bigwedge{\DOTSI\bigwedgeop\slimits@}
\def\bigvee{\DOTSI\bigveeop\slimits@}
\def\bigcap{\DOTSI\bigcapop\slimits@}
\def\bigcup{\DOTSI\bigcupop\slimits@}
\def\xsol{\DOTSI\xsolop\slimits@}
\def\xbsol{\DOTSI\xbsolop\slimits@}
\def\bigodot{\DOTSI\bigodotop\slimits@}
\def\bigoplus{\DOTSI\bigoplusop\slimits@}
\def\bigotimes{\DOTSI\bigotimesop\slimits@}
\def\bigcupdot{\DOTSI\bigcupdotop\slimits@}
\def\biguplus{\DOTSI\biguplusop\slimits@}
\def\bigsqcap{\DOTSI\bigsqcapop\slimits@}
\def\bigsqcup{\DOTSI\bigsqcupop\slimits@}
\libus@MathAccent{\grave}                {\mathalpha}{letters}{"80}
\libus@MathAccent{\acute}                {\mathalpha}{letters}{"81}
\libus@MathAccent{\hat}                  {\mathalpha}{letters}{"82}
\libus@MathAccent{\tilde}                {\mathalpha}{letters}{"83}
\libus@MathAccent{\bar}                  {\mathalpha}{letters}{"84}
\libus@MathAccent{\breve}                {\mathalpha}{letters}{"85}
\libus@MathAccent{\dot}                  {\mathalpha}{letters}{"86}
\libus@MathAccent{\ddot}                 {\mathalpha}{letters}{"87}
\libus@MathAccent{\ovhook}               {\mathalpha}{letters}{"88}
\libus@MathAccent{\mathring}             {\mathalpha}{letters}{"89}
\libus@MathAccent{\check}                {\mathalpha}{letters}{"8A}
\libus@MathAccent{\candra}               {\mathalpha}{letters}{"8B}
\libus@MathAccent{\oturnedcomma}         {\mathalpha}{letters}{"8C}
\libus@MathAccent{\ocommatopright}       {\mathalpha}{letters}{"8D}
\libus@MathAccent{\droang}               {\mathalpha}{letters}{"8E}
\libus@MathAccent{\leftharpoonaccent}    {\mathalpha}{letters}{"8F}
\libus@MathAccent{\rightharpoonaccent}   {\mathalpha}{letters}{"90}
\libus@MathAccent{\leftarrowaccent}      {\mathalpha}{letters}{"91}
\libus@MathAccent{\vec}                  {\mathalpha}{letters}{"92}
        % not \let because amsmath redefines \vec
        \def\rightarrowaccent{\vec}
\libus@MathAccent{\dddot}                {\mathalpha}{letters}{"93}
\libus@MathAccent{\ddddot}               {\mathalpha}{letters}{"94}
\libus@MathAccent{\leftrightarrowaccent} {\mathalpha}{letters}{"95}
\libus@MathAccent{\annuity}              {\mathalpha}{letters}{"96}
\libus@MathAccent{\widebridgeabove}      {\mathalpha}{letters}{"97}
\libus@MathAccent{\asteraccent}          {\mathalpha}{letters}{"98}
\begingroup
  \def\set@mathaccent#1#2#3#4{%
      \xdef#2{\mathaccent"\mathchar@type#3\hexnumber@#1#4\relax}}
  %\libus@MathAccent{\widehat}            {\mathord}{letters}{"9A}
  %\libus@MathAccent{\widetilde}          {\mathord}{letters}{"9B}
  %\libus@MathAccent{\widecheck}          {\mathord}{letters}{"9C}
%temporary, perhaps
\xdef\widehat#1{\mathaccent"0\hexnumber@\symletters 9A{#1}}
\xdef\widetilde#1{\mathaccent"0\hexnumber@\symletters 9B{#1}}
\xdef\widecheck#1{\mathaccent"0\hexnumber@\symletters 9C{#1}}

\endgroup
\libus@MathSymbol{\braceld}{\mathord}{letters}{"A9}
\libus@MathSymbol{\bracerd}{\mathord}{letters}{"AA}
\libus@MathSymbol{\bracelu}{\mathord}{letters}{"AB}
\libus@MathSymbol{\braceru}{\mathord}{letters}{"AC}
\libus@MathSymbol{\braceex}{\mathord}{letters}{"AD}
\libus@MathSymbol{\bracemu}{\mathord}{letters}{"AE}
\libus@MathSymbol{\bracemd}{\mathord}{letters}{"AF}
\libus@MathSymbol{\parenld}{\mathord}{letters}{"B0}
\libus@MathSymbol{\parenrd}{\mathord}{letters}{"B1}
\libus@MathSymbol{\parenlu}{\mathord}{letters}{"B2}
\libus@MathSymbol{\parenru}{\mathord}{letters}{"B3}
\libus@MathSymbol{\bracketld}{\mathord}{letters}{"B4}
\libus@MathSymbol{\bracketrd}{\mathord}{letters}{"B5}
\libus@MathSymbol{\bracketlu}{\mathord}{letters}{"B6}
\libus@MathSymbol{\bracketru}{\mathord}{letters}{"B7}
\libus@MathSymbol{\bracketex}{\mathord}{symbols}{"89}
\libus@MathSymbol{\parenex}{\mathord}{symbols}{"8A}
\def\libus@braceglue{\hskip -.1em plus .05em}
\def\downbracefill{$\m@th%
    \braceld\libus@braceglue%
    \cleaders\hbox{$\braceex$}\hfill%
    \libus@braceglue\bracemu\libus@braceglue%
    \cleaders\hbox{$\braceex$}\hfill%
    \libus@braceglue\bracerd$}
\def\upbracefill{$\m@th%
    \bracelu\libus@braceglue%
    \cleaders\hbox{$\braceex$}\hfill%
    \libus@braceglue\bracemd\libus@braceglue%
    \cleaders\hbox{$\braceex$}\hfill%
    \libus@braceglue\braceru$}
\def\libus@parenglue{\hskip -.15em plus .05em}
\def\downparenfill{$\m@th%
    \parenld\libus@parenglue%
    \cleaders\hbox{$\parenex$}\hfill%
    \libus@parenglue\parenrd$}
\def\upparenfill{$\m@th%
    \parenlu\libus@parenglue%
    \cleaders\hbox{$\parenex$}\hfill%
    \libus@parenglue\parenru$}
\def\libus@overbrace#1#2{%
    \mathop {%
        \vbox {%
            \m@th%
            \ialign{##\crcr%
                \noalign{\kern.3\fontdimen5\textfont2}%
                    \csname down#1fill\endcsname\crcr%
                \noalign{\kern.5\fontdimen5\textfont2\nointerlineskip}%
                $\hfil\displaystyle{#2}\hfil$\crcr%
            }%
        }%
    }%
    \limits%
}
\def\libus@underbrace#1#2{
    \mathop {%
        \vtop {%
            \m@th%
            \ialign{##\crcr%
                $\hfil\displaystyle{#2}\hfil$\crcr%
                \noalign{\kern.5\fontdimen5\textfont2\nointerlineskip}%
                \csname up#1fill\endcsname\crcr%
                \noalign{\kern.3\fontdimen5\textfont2}%
            }%
        }%
    }%
    \limits%
}
\def\overbrace#1{\libus@overbrace{brace}{#1}}
\def\overparen#1{\libus@overbrace{paren}{#1}}
\def\underbrace#1{\libus@underbrace{brace}{#1}}
\def\underparen#1{\libus@underbrace{paren}{#1}}
\AtBeginDocument{
    \@ifpackageloaded{mathtools}{}{
        \def\libus@bracketglue{\hskip -.85em plus .85em}
        \def\downbracketfill{$\m@th%
            \bracketld\libus@bracketglue%
            \cleaders\hbox{$\bracketex$}\hfill%
            \libus@bracketglue\bracketrd$}
        \def\upbracketfill{$\m@th%
            \bracketlu\libus@bracketglue%
            \cleaders\hbox{$\bracketex$}\hfill%
            \libus@bracketglue\bracketru$}
        \def\underbracket#1{\libus@underbrace{bracket}{#1}}
        \def\overbracket#1{\libus@overbrace{bracket}{#1}}
    }
}
\libus@MathSymbol{\arrowaccentex}  {\mathord}{letters}{"99}
\libus@MathSymbol{\harpoonaccentlt}{\mathord}{letters}{"8F}
\libus@MathSymbol{\harpoonaccentrt}{\mathord}{letters}{"90}
\libus@MathSymbol{\arrowaccentlt}  {\mathord}{letters}{"91}
\libus@MathSymbol{\arrowaccentrt}  {\mathord}{letters}{"92}
\def\libus@arrowaccentglue{\hskip -.23em plus .01em}
\def\overleftarrowfill{$\m@th%
    \arrowaccentlt\libus@arrowaccentglue%
    \cleaders\hbox{$\arrowaccentex$}\hfill$}
\def\overrightarrowfill{$\m@th%
    \cleaders\hbox{$\arrowaccentex$}\hfill%
    \libus@arrowaccentglue\arrowaccentrt$}
\def\overleftrightarrowfill{$\m@th%
    \arrowaccentlt\libus@arrowaccentglue%
    \cleaders\hbox{$\arrowaccentex$}\hfill%
    \libus@arrowaccentglue\arrowaccentrt$}
\def\overleftharpoonfill{$\m@th%
    \harpoonaccentlt\libus@arrowaccentglue%
    \cleaders\hbox{$\arrowaccentex$}\hfill$}
\def\overrightharpoonfill{$\m@th%
   \cleaders\hbox{$\arrowaccentex$}\hfill%
   \libus@arrowaccentglue\harpoonaccentrt$}
\def\libus@overarrow#1#2#3{%
    \vbox {%
        \m@th%
        \ialign{##\crcr%
            \csname over#1fill\endcsname\crcr%
            \noalign{\kern -1ex\nointerlineskip}%
            $\hfil#2#3\hfil$\crcr%
        }%
    }%
}
\def\libus@underarrow#1#2#3{
    \vtop {%
        \m@th%
        \ialign{##\crcr%
            $\hfil#2#3\hfil$\crcr%
            \noalign{\kern .2ex\nointerlineskip}%
            \csname over#1fill\endcsname\crcr%
            \noalign{\kern -1ex\nointerlineskip}%
        }%
    }%
}
\def\overleftarrow{\mathpalette{\libus@overarrow{leftarrow}}}
\def\overrightarrow{\mathpalette{\libus@overarrow{rightarrow}}}
\def\overleftrightarrow{\mathpalette{\libus@overarrow{leftrightarrow}}}
\def\overleftharpoon{\mathpalette{\libus@overarrow{leftharpoon}}}
\def\overrightharpoon{\mathpalette{\libus@overarrow{rightharpoon}}}
\def\underleftarrow{\mathpalette{\libus@underarrow{leftarrow}}}
\def\underrightarrow{\mathpalette{\libus@underarrow{rightarrow}}}
\def\underleftrightarrow{\mathpalette{\libus@underarrow{leftrightarrow}}}
\def\underleftharpoon{\mathpalette{\libus@underarrow{leftharpoon}}}
\def\underrightharpoon{\mathpalette{\libus@underarrow{rightharpoon}}}
%\libus@MathSymbol{\lhook}                    {\mathrel}{arrows1}{"2A}
%\libus@MathSymbol{\rhook}                    {\mathrel}{arrows1}{"2B}
%\libus@MathSymbol{\relbar}                   {\mathrel}{arrows1}{"2C}
%\libus@MathSymbol{\Relbar}                   {\mathrel}{arrows1}{"2D}
%\libus@MathSymbol{\Rrelbar}                  {\mathrel}{arrows1}{"2E}
%\libus@MathSymbol{\RRelbar}                  {\mathrel}{arrows1}{"2F}
%
%\libus@MathSymbol{\mapsfromchar}             {\mathrel}{arrows1}{"3A}
%\libus@MathSymbol{\mapstochar}               {\mathrel}{arrows1}{"3B}
%\libus@MathSymbol{\leftarrow}                {\mathrel}{arrows1}{"7D} \let\gets=\leftarrow
%\libus@MathSymbol{\rightarrow}               {\mathrel}{arrows1}{"99} \let\to=\rightarrow
\libus@MathSymbol{\neg}                      {\mathord}{operators}{"9B} \let\lnot=\neg
\libus@MathSymbol{\cdotp}                    {\mathbin}{operators}{"9C} \let\centerdot=\cdotp
\libus@MathSymbol{\times}                    {\mathbin}{operators}{"9D}
\libus@MathSymbol{\preceq}                   {\mathrel}{operators}{"9E}
\libus@MathSymbol{\div}                      {\mathbin}{operators}{"9F}

\libus@MathSymbol{\Zbar}                     {\mathord}{operators}{"A0}
\libus@MathSymbol{\notchar}                  {\mathrel}{operators}{"A1}
\libus@MathSymbol{\upbackepsilon}            {\mathord}{operators}{"A2}
\libus@MathSymbol{\dagger}                   {\mathbin}{operators}{"A3}
\libus@MathSymbol{\ddagger}                  {\mathbin}{operators}{"A4}
\libus@MathSymbol{\smblkcircle}              {\mathbin}{operators}{"A5}
\libus@MathSymbol{\enleadertwodots}          {\mathord}{operators}{"A6}
\libus@MathSymbol{\unicodeellipsis}          {\mathord}{operators}{"A7} \def\mathellipsis{\mathinner{\unicodeellipsis}}
\libus@MathSymbol{\prime}                    {\mathord}{operators}{"A8}
\libus@MathSymbol{\dprime}                   {\mathord}{operators}{"A9}
\libus@MathSymbol{\trprime}                  {\mathord}{operators}{"AA}
\libus@MathSymbol{\backprime}                {\mathord}{operators}{"AB}
\libus@MathSymbol{\backdprime}               {\mathord}{operators}{"AC}
\libus@MathSymbol{\backtrprime}              {\mathord}{operators}{"AD}
\libus@MathSymbol{\caretinsert}              {\mathord}{operators}{"AE}
\libus@MathSymbol{\Exclam}                   {\mathord}{operators}{"AF}

\libus@MathSymbol{\hyphenbullet}             {\mathord}{operators}{"B0}
\libus@MathSymbol{\fracslash}                {\mathbin}{operators}{"B1}
\libus@MathSymbol{\Question}                 {\mathord}{operators}{"B2}
\libus@MathSymbol{\closure}                  {\mathrel}{operators}{"B3}
\libus@MathSymbol{\qprime}                   {\mathord}{operators}{"B4}
\libus@MathSymbol{\vertoverlay}              {\mathrel}{operators}{"B5}
\libus@MathSymbol{\enclosecircle}            {\mathord}{operators}{"B6}
\libus@MathSymbol{\enclosesquare}            {\mathord}{operators}{"B7}
\libus@MathSymbol{\asymp}                    {\mathrel}{operators}{"B8}
%\libus@MathSymbol{\enclosediamond}           {\mathord}{operators}{"B8}
\libus@MathSymbol{\enclosetriangle}          {\mathord}{operators}{"B9}
\libus@MathSymbol{\Eulerconst}               {\mathord}{operators}{"BA}
\libus@MathSymbol{\mho}                      {\mathord}{operators}{"BB}
\libus@MathSymbol{\turnediota}               {\mathord}{operators}{"BC}
\libus@MathSymbol{\Angstrom}                 {\mathord}{operators}{"BD}
\libus@MathSymbol{\Finv}                     {\mathord}{operators}{"BE}
\libus@MathSymbol{\Game}                     {\mathord}{operators}{"BF}

\libus@MathSymbol{\sansLturned}              {\mathord}{operators}{"C0}
\libus@MathSymbol{\sansLmirrored}            {\mathord}{operators}{"C1}
\libus@MathSymbol{\Yup}                      {\mathord}{operators}{"C2}
%\libus@MathSymbol{\PropertyLine}             {\mathord}{operators}{"C3}
\libus@MathSymbol{\upand}                    {\mathbin}{operators}{"C4}
\libus@MathSymbol{\forall}                   {\mathord}{operators}{"C5}
\libus@MathSymbol{\complement}               {\mathord}{operators}{"C6}
\libus@MathSymbol{\exists}                   {\mathord}{operators}{"C7}
\libus@MathSymbol{\nexists}                  {\mathord}{operators}{"C8}
\libus@MathSymbol{\varnothing}               {\mathord}{operators}{"C9}
\libus@MathSymbol{\increment}                {\mathord}{operators}{"CA}
\libus@MathSymbol{\in}                       {\mathrel}{operators}{"CB}
\libus@MathSymbol{\notin}                    {\mathrel}{operators}{"CC}
\libus@MathSymbol{\smallin}                  {\mathrel}{operators}{"CD}
\libus@MathSymbol{\ni}                       {\mathrel}{operators}{"CE} \let\owns=\ni
\libus@MathSymbol{\nni}                      {\mathrel}{operators}{"CF}

\libus@MathSymbol{\smallni}                  {\mathrel}{operators}{"D0}
\libus@MathSymbol{\QED}                      {\mathord}{operators}{"D1}
\libus@MathSymbol{\dotplus}                  {\mathbin}{operators}{"D2}
\libus@MathSymbol{\succeq}                   {\mathrel}{operators}{"D3}
\libus@MathSymbol{\smallsetminus}            {\mathbin}{operators}{"D4}
\libus@MathSymbol{\vysmwhtcircle}            {\mathbin}{operators}{"D5}
\libus@MathSymbol{\vysmblkcircle}            {\mathbin}{operators}{"D6} \let\bullet=\vysmblkcircle
\libus@MathSymbol{\propto}                   {\mathrel}{operators}{"D7}
\libus@MathSymbol{\infty}                    {\mathord}{operators}{"D8}
\libus@MathSymbol{\rightangle}               {\mathord}{operators}{"D9}
\libus@MathSymbol{\angle}                    {\mathord}{operators}{"DA}
\libus@MathSymbol{\measuredangle}            {\mathord}{operators}{"DB}
\libus@MathSymbol{\sphericalangle}           {\mathord}{operators}{"DC}
\libus@MathSymbol{\mid}                      {\mathrel}{operators}{"DD}
\libus@MathSymbol{\nmid}                     {\mathrel}{operators}{"DE}
\libus@MathSymbol{\parallel}                 {\mathrel}{operators}{"DF}

\libus@MathSymbol{\nparallel}                {\mathrel}{operators}{"E0}
\libus@MathSymbol{\wedge}                    {\mathbin}{operators}{"E1} \let\land=\wedge
\libus@MathSymbol{\vee}                      {\mathbin}{operators}{"E2} \let\lor=\vee
\libus@MathSymbol{\cap}                      {\mathbin}{operators}{"E3}
\libus@MathSymbol{\cup}                      {\mathbin}{operators}{"E4}
\libus@MathSymbol{\therefore}                {\mathord}{operators}{"E5}
\libus@MathSymbol{\because}                  {\mathord}{operators}{"E6}
\libus@MathSymbol{\emptyset}                 {\mathord}{operators}{"E7}
\libus@MathSymbol{\Colon}                    {\mathrel}{operators}{"E8}
\libus@MathSymbol{\dotminus}                 {\mathbin}{operators}{"E9}
\libus@MathSymbol{\dashcolon}                {\mathrel}{operators}{"EA}
\libus@MathSymbol{\dotsminusdots}            {\mathrel}{operators}{"EB}
\libus@MathSymbol{\kernelcontraction}        {\mathrel}{operators}{"EC}
\libus@MathSymbol{\sim}                      {\mathrel}{operators}{"ED} \libus@MathSymbol{\thicksim}{\mathrel}{bold-operators}{"ED}
\libus@MathSymbol{\backsim}                  {\mathrel}{operators}{"EE}
\libus@MathSymbol{\invlazys}                 {\mathbin}{operators}{"EF}

\libus@MathSymbol{\sinewave}                 {\mathord}{operators}{"F0}
\libus@MathSymbol{\wr}                       {\mathbin}{operators}{"F1}
\libus@MathSymbol{\nsim}                     {\mathrel}{operators}{"F2}
\libus@MathSymbol{\eqsim}                    {\mathrel}{operators}{"F3}
\libus@MathSymbol{\simeq}                    {\mathrel}{operators}{"F4}
\libus@MathSymbol{\nsime}                    {\mathrel}{operators}{"F5}
\libus@MathSymbol{\cong}                     {\mathrel}{operators}{"F6}
\libus@MathSymbol{\simneqq}                  {\mathrel}{operators}{"F7}
\libus@MathSymbol{\ncong}                    {\mathrel}{operators}{"F8}
\libus@MathSymbol{\approx}                   {\mathrel}{operators}{"F9} \libus@MathSymbol{\thickapprox}			{\mathrel}{bold-operators}{"F9}
\libus@MathSymbol{\napprox}                  {\mathrel}{operators}{"FA}
\libus@MathSymbol{\approxeq}                 {\mathrel}{operators}{"FB}
\libus@MathSymbol{\approxident}              {\mathrel}{operators}{"FC}
\libus@MathSymbol{\backcong}                 {\mathrel}{operators}{"FD}
%\libus@MathSymbol{\upvarkappa}               {\mathrel}{operators}{"FE}
\libus@MathSymbol{\Bumpeq}                   {\mathrel}{operators}{"FF}

\libus@MathSymbol{\lneqq}                    {\mathrel}{letters}{"40}
\libus@MathSymbol{\gneqq}                    {\mathrel}{letters}{"7D}
\libus@MathSymbol{\ll}                       {\mathrel}{letters}{"7E}
\libus@MathSymbol{\gg}                       {\mathrel}{letters}{"B8}
\libus@MathSymbol{\between}                  {\mathrel}{letters}{"B9}
\libus@MathSymbol{\nasymp}                   {\mathrel}{letters}{"BA}
\libus@MathSymbol{\nless}                    {\mathrel}{letters}{"BB}
\libus@MathSymbol{\ngtr}                     {\mathrel}{letters}{"BC}
\libus@MathSymbol{\nleq}                     {\mathrel}{letters}{"BD}
\libus@MathSymbol{\ngeq}                     {\mathrel}{letters}{"BE}
\libus@MathSymbol{\lesssim}                  {\mathrel}{letters}{"BF}
\libus@MathSymbol{\gtrsim}                   {\mathrel}{letters}{"C0}
\libus@MathSymbol{\nlesssim}                 {\mathrel}{letters}{"C1}
\libus@MathSymbol{\ngtrsim}                  {\mathrel}{letters}{"C2}
\libus@MathSymbol{\lessgtr}                  {\mathrel}{letters}{"C3}
\libus@MathSymbol{\gtrless}                  {\mathrel}{letters}{"C4}
\libus@MathSymbol{\nlessgtr}                 {\mathrel}{letters}{"C5}
\libus@MathSymbol{\ngtrless}                 {\mathrel}{letters}{"C6}
\libus@MathSymbol{\prec}                     {\mathrel}{letters}{"C7}
\libus@MathSymbol{\succ}                     {\mathrel}{letters}{"C8}
\libus@MathSymbol{\preccurlyeq}              {\mathrel}{letters}{"C9}
\libus@MathSymbol{\succcurlyeq}              {\mathrel}{letters}{"CA}
\libus@MathSymbol{\precsim}                  {\mathrel}{letters}{"CB}
\libus@MathSymbol{\succsim}                  {\mathrel}{letters}{"CC}
\libus@MathSymbol{\nprec}                    {\mathrel}{letters}{"CD}
\libus@MathSymbol{\nsucc}                    {\mathrel}{letters}{"CE}
\libus@MathSymbol{\subset}                   {\mathrel}{letters}{"CF}
\libus@MathSymbol{\supset}                   {\mathrel}{letters}{"D0}
\libus@MathSymbol{\nsubset}                  {\mathrel}{letters}{"D1}
\libus@MathSymbol{\nsupset}                  {\mathrel}{letters}{"D2}
\libus@MathSymbol{\subseteq}                 {\mathrel}{letters}{"D3}
\libus@MathSymbol{\supseteq}                 {\mathrel}{letters}{"D4}
\libus@MathSymbol{\nsubseteq}                {\mathrel}{letters}{"D5}
\libus@MathSymbol{\nsupseteq}                {\mathrel}{letters}{"D6}
\libus@MathSymbol{\subsetneq}                {\mathrel}{letters}{"D7}
\libus@MathSymbol{\supsetneq}                {\mathrel}{letters}{"D8}
\libus@MathSymbol{\cupleftarrow}             {\mathbin}{letters}{"D9}
\libus@MathSymbol{\cupdot}                   {\mathbin}{letters}{"DA}
\libus@MathSymbol{\uplus}                    {\mathbin}{letters}{"DB}
\libus@MathSymbol{\sqsubset}                 {\mathrel}{letters}{"DC}
\libus@MathSymbol{\sqsupset}                 {\mathrel}{letters}{"DD}
\libus@MathSymbol{\sqsubseteq}               {\mathrel}{letters}{"DE}
\libus@MathSymbol{\sqsupseteq}               {\mathrel}{letters}{"DF}
\libus@MathSymbol{\sqcap}                    {\mathbin}{letters}{"E0}
\libus@MathSymbol{\sqcup}                    {\mathbin}{letters}{"E1}
\libus@MathSymbol{\oplus}                    {\mathbin}{letters}{"E2}
\libus@MathSymbol{\ominus}                   {\mathbin}{letters}{"E3}
\libus@MathSymbol{\otimes}                   {\mathbin}{letters}{"E4}
\libus@MathSymbol{\oslash}                   {\mathbin}{letters}{"E5}
\libus@MathSymbol{\odot}                     {\mathbin}{letters}{"E6}
\libus@MathSymbol{\circledcirc}              {\mathbin}{letters}{"E7}
\libus@MathSymbol{\circledast}               {\mathbin}{letters}{"E8}
\libus@MathSymbol{\circledequal}             {\mathbin}{letters}{"E9}
\libus@MathSymbol{\circleddash}              {\mathbin}{letters}{"EA}
\libus@MathSymbol{\boxplus}                  {\mathbin}{letters}{"EB}
\libus@MathSymbol{\boxminus}                 {\mathbin}{letters}{"EC}
\libus@MathSymbol{\boxtimes}                 {\mathbin}{letters}{"ED}
\libus@MathSymbol{\boxdot}                   {\mathbin}{letters}{"EE}
\libus@MathSymbol{\vdash}                    {\mathrel}{letters}{"EF}
\libus@MathSymbol{\dashv}                    {\mathrel}{letters}{"F0}
\libus@MathSymbol{\top}                      {\mathord}{letters}{"F1}
\libus@MathSymbol{\bot}                      {\mathord}{letters}{"F2}
\libus@MathSymbol{\assert}                   {\mathrel}{letters}{"F3}
\libus@MathSymbol{\models}                   {\mathrel}{letters}{"F4}
\libus@MathSymbol{\vDash}                    {\mathrel}{letters}{"F5}
\libus@MathSymbol{\Vdash}                    {\mathrel}{letters}{"F6}
\libus@MathSymbol{\Vvdash}                   {\mathrel}{letters}{"F7}
\libus@MathSymbol{\VDash}                    {\mathrel}{letters}{"F8}
\libus@MathSymbol{\nvdash}                   {\mathrel}{letters}{"F9}
\libus@MathSymbol{\nvDash}                   {\mathrel}{letters}{"FA}
\libus@MathSymbol{\nVdash}                   {\mathrel}{letters}{"FB}
\libus@MathSymbol{\nVDash}                   {\mathrel}{letters}{"FC}
\libus@MathSymbol{\prurel}                   {\mathrel}{letters}{"FD}
%\libus@MathSymbol{\varkappait}                 {\mathrel}{letters}{"FE}
%\libus@MathSymbol{\scurel}                   {\mathrel}{letters}{"FE}
\libus@MathSymbol{\trianglelefteq}           {\mathrel}{letters}{"FF}
\libus@MathSymbol{\unlhd}                    {\mathbin}{letters}{"FF}
%symbols
\libus@MathSymbol{\trianglerighteq}          {\mathrel}{symbols}{"00}
\libus@MathSymbol{\unrhd}                    {\mathbin}{symbols}{"00}
\libus@MathSymbol{\origof}                   {\mathrel}{symbols}{"01}
% Small integrals are in "03.."0B, "0D
\libus@MathSymbol{\cdot}                     {\mathbin}{symbols}{"0C}
\libus@MathSymbol{\bowtie}                   {\mathrel}{symbols}{"0E}
\libus@MathSymbol{\ltimes}                   {\mathbin}{symbols}{"0F}
\libus@MathSymbol{\rtimes}                   {\mathbin}{symbols}{"10}
%\libus@MathSymbol{\smallintsl}             {\mathop}{symbols}{"08}
\libus@MathSymbol{\smallprod}             {\mathop}{symbols}{"11}
\libus@MathSymbol{\smallcoprod}             {\mathop}{symbols}{"12}
\libus@MathSymbol{\backsimeq}                {\mathrel}{symbols}{"13}
\libus@MathSymbol{\curlyvee}                 {\mathbin}{symbols}{"14}
\libus@MathSymbol{\curlywedge}               {\mathbin}{symbols}{"15}
\libus@MathSymbol{\smallsum}                   {\mathop}{symbols}{"16}
\libus@MathSymbol{\perp}                   {\mathrel}{symbols}{"17}
\libus@MathSymbol{\Hfraktur}             {\mathord}{symbols}{"18}
\libus@MathSymbol{\setminus}             {\mathbin}{symbols}{"19}
\libus@MathSymbol{\dsol}             {\mathbin}{symbols}{"1A}
\libus@MathSymbol{\rsolbar}             {\mathbin}{symbols}{"1B}
\libus@MathSymbol{\lessdot}                  {\mathrel}{symbols}{"1C}
\libus@MathSymbol{\gtrdot}                   {\mathrel}{symbols}{"1D}
\libus@MathSymbol{\lll}                      {\mathrel}{symbols}{"1E}
        \let\llless=\lll
\libus@MathSymbol{\ggg}                      {\mathrel}{symbols}{"1F}
        \let\gggtr=\ggg
\libus@MathSymbol{\lesseqgtr}                {\mathrel}{symbols}{"20}
\libus@MathSymbol{\gtreqless}                {\mathrel}{symbols}{"21}
\libus@MathSymbol{\eqless}                   {\mathrel}{symbols}{"22}
\libus@MathSymbol{\eqgtr}                    {\mathrel}{symbols}{"23}
\libus@MathSymbol{\curlyeqprec}              {\mathrel}{symbols}{"24}
\libus@MathSymbol{\curlyeqsucc}              {\mathrel}{symbols}{"25}
\libus@MathSymbol{\npreccurlyeq}             {\mathrel}{symbols}{"26}
\libus@MathSymbol{\nsucccurlyeq}             {\mathrel}{symbols}{"27}
\libus@MathSymbol{\nsqsubseteq}              {\mathrel}{symbols}{"28}
\libus@MathSymbol{\nsqsupseteq}              {\mathrel}{symbols}{"29}
\libus@MathSymbol{\sqsubsetneq}              {\mathrel}{symbols}{"2A}
\libus@MathSymbol{\sqsupsetneq}              {\mathrel}{symbols}{"2B}
\libus@MathSymbol{\lnsim}                    {\mathrel}{symbols}{"2C}
\libus@MathSymbol{\gnsim}                    {\mathrel}{symbols}{"2D}
\libus@MathSymbol{\precnsim}                 {\mathrel}{symbols}{"2E}
\libus@MathSymbol{\succnsim}                 {\mathrel}{symbols}{"2F}
\libus@MathSymbol{\nvartriangleleft}         {\mathrel}{symbols}{"30}
\libus@MathSymbol{\nvartriangleright}        {\mathrel}{symbols}{"31}
\libus@MathSymbol{\ntrianglelefteq}          {\mathrel}{symbols}{"32}
\libus@MathSymbol{\ntrianglerighteq}         {\mathrel}{symbols}{"33}
\libus@MathSymbol{\vdotsmath}                {\mathrel}{symbols}{"34}
        \DeclareRobustCommand\vdots{%
                \ifmmode\vdotsmath\else%
                {\usefont{LS1}{libusscr}{\f@series}{n}\char"34}%
                \fi}
\libus@MathSymbol{\unicodecdots}             {\mathord}{symbols}{"35} \let\@cdots=\unicodecdots \DeclareRobustCommand\cdots{\mathinner{\unicodecdots}}
\libus@MathSymbol{\adots}                    {\mathrel}{symbols}{"36}
\libus@MathSymbol{\ddots}                    {\mathrel}{symbols}{"37}
\libus@MathSymbol{\succneq}                  {\mathrel}{symbols}{"38}
\libus@MathSymbol{\preceqq}                  {\mathrel}{symbols}{"39}
\libus@MathSymbol{\succeqq}                  {\mathrel}{symbols}{"3A}
\libus@MathSymbol{\precneqq}                 {\mathrel}{symbols}{"3B}
\libus@MathSymbol{\succneqq}                 {\mathrel}{symbols}{"3C}
\libus@MathSymbol{\precneq}                  {\mathrel}{symbols}{"3D}
%\libus@MathSymbol{\varkappa}                  {\mathord}{symbols}{"3E}
\libus@MathSymbol{\digamma}                  {\mathord}{symbols}{"3F}
\libus@MathSymbol{\backepsilon}               {\mathord}{symbols}{"40}
%\libus@MathSymbol{\top}							
\libus@MathSymbol{\lhook}                    {\mathrel}{symbols}{"41}
\libus@MathSymbol{\rhook}                    {\mathrel}{symbols}{"42}
\libus@MathSymbol{\leftarrow}                {\mathrel}{symbols}{"43} \let\gets=\leftarrow
%\libus@MathSymbol{\uparrow}               {\mathrel}{symbols}{"44}
\libus@MathSymbol{\rightarrow}               {\mathrel}{symbols}{"45}
  \let\to=\rightarrow
%\libus@MathSymbol{\downarrow}               {\mathrel}{symbols}{"46}
 \libus@MathSymbol{\leftrightarrow}           {\mathrel}{symbols}{"47}
%\libus@MathSymbol{\updownarrow}           {\mathrel}{symbols}{"48}
\libus@MathSymbol{\nwarrow}                  {\mathrel}{symbols}{"49}
\libus@MathSymbol{\nearrow}                  {\mathrel}{symbols}{"4A}
\libus@MathSymbol{\searrow}                  {\mathrel}{symbols}{"4B}

\libus@MathSymbol{\swarrow}                  {\mathrel}{symbols}{"4C}
\libus@MathSymbol{\nleftarrow}               {\mathrel}{symbols}{"4D}
\libus@MathSymbol{\nrightarrow}              {\mathrel}{symbols}{"4E}
\libus@MathSymbol{\mapsfrom}		          {\mathrel}{symbols}{"4F}
\libus@MathSymbol{\mapsto} 			         {\mathrel}{symbols}{"50}
\libus@MathSymbol{\hookleftarrow}            {\mathrel}{symbols}{"51}
\libus@MathSymbol{\hookrightarrow}           {\mathrel}{symbols}{"52}
\libus@MathSymbol{\nleftrightarrow}          {\mathrel}{symbols}{"53}
\libus@MathSymbol{\leftharpoonup}            {\mathrel}{symbols}{"54}
\libus@MathSymbol{\leftharpoondown}          {\mathrel}{symbols}{"55}
\libus@MathSymbol{\rightharpoonup}           {\mathrel}{symbols}{"56}
\libus@MathSymbol{\rightharpoondown}         {\mathrel}{symbols}{"57}
\libus@MathSymbol{\leftrightharpoons}        {\mathrel}{symbols}{"58}
\libus@MathSymbol{\rightleftharpoons}        {\mathrel}{symbols}{"59}
\libus@MathSymbol{\longleftarrow}            {\mathrel}{symbols}{"5A}
\libus@MathSymbol{\longrightarrow}           {\mathrel}{symbols}{"5B}
\libus@MathSymbol{\longleftrightarrow}       {\mathrel}{symbols}{"5C}
\libus@MathSymbol{\longmapsfrom}             {\mathrel}{symbols}{"5D}
\libus@MathSymbol{\longmapsto}               {\mathrel}{symbols}{"5E}
%\libus@MathSymbol{\downharpoonright}         {\mathrel}{arrows1}{"C9}
%\libus@MathSymbol{\downharpoonleft}          {\mathrel}{arrows1}{"CA}
%\libus@MathSymbol{\rightleftarrows}          {\mathrel}{arrows1}{"CB}
%\libus@MathSymbol{\updownarrows}             {\mathrel}{arrows1}{"CC}
%\libus@MathSymbol{\leftrightarrows}          {\mathrel}{arrows1}{"CD}
%\libus@MathSymbol{\leftleftarrows}           {\mathrel}{arrows1}{"CE}
%\libus@MathSymbol{\upuparrows}               {\mathrel}{arrows1}{"CF}
\libus@MathSymbol{\diameter}                 {\mathord}{symbols}{"5F}
\libus@MathSymbol{\bumpeq}                   {\mathrel}{symbols}{"60}
\libus@MathSymbol{\doteq}                    {\mathrel}{symbols}{"61}
\libus@MathSymbol{\Doteq}                    {\mathrel}{symbols}{"62}
        \let\doteqdot=\Doteq
\libus@MathSymbol{\fallingdotseq}            {\mathrel}{symbols}{"63}
\libus@MathSymbol{\risingdotseq}             {\mathrel}{symbols}{"64}
\libus@MathSymbol{\coloneq}                  {\mathrel}{symbols}{"65}
\libus@MathSymbol{\eqcolon}                  {\mathrel}{symbols}{"66}
\libus@MathSymbol{\eqcirc}                   {\mathrel}{symbols}{"67}
\libus@MathSymbol{\circeq}                   {\mathrel}{symbols}{"68}
\libus@MathSymbol{\arceq}                    {\mathrel}{symbols}{"69}
\libus@MathSymbol{\wedgeq}                   {\mathrel}{symbols}{"6A}
\libus@MathSymbol{\veeeq}                    {\mathrel}{symbols}{"6B}
\libus@MathSymbol{\stareq}                   {\mathrel}{symbols}{"6C}
\libus@MathSymbol{\triangleq}                {\mathrel}{symbols}{"6D}
\libus@MathSymbol{\eqdef}                    {\mathrel}{symbols}{"6E}
\libus@MathSymbol{\measeq}                   {\mathrel}{symbols}{"6F}
\libus@MathSymbol{\questeq}                  {\mathrel}{symbols}{"70}
\libus@MathSymbol{\ne}                       {\mathrel}{symbols}{"71}
        \let\neq=\ne
\libus@MathSymbol{\equiv}                    {\mathrel}{symbols}{"72}
\libus@MathSymbol{\nequiv}                   {\mathrel}{symbols}{"73}
\libus@MathSymbol{\Equiv}                    {\mathrel}{symbols}{"76}
\libus@MathSymbol{\leq}                      {\mathrel}{symbols}{"77}
        \let\le=\leq
\libus@MathSymbol{\geq}                      {\mathrel}{symbols}{"78}
        \let\ge=\geq
\libus@MathSymbol{\leqq}                     {\mathrel}{symbols}{"79}
\libus@MathSymbol{\geqq}                     {\mathrel}{symbols}{"7A}

\libus@MathSymbol{\Re}        {\mathord}  {symbols}{"7B}
\libus@MathSymbol{\Im}        {\mathord}  {symbols}{"7C}
\libus@MathSymbol{\wp}        {\mathord}  {symbols}{"7D}
\libus@MathSymbol{\house}                    {\mathord}{symbols}{"7E}

\libus@MathSymbol{\clubsuit}                {\mathord}{symbols}{"80}
\libus@MathSymbol{\diamondsuit}              {\mathord}{symbols}{"81}
\libus@MathSymbol{\heartsuit}                {\mathord}{symbols}{"82}
\libus@MathSymbol{\spadesuit}                 {\mathord}{symbols}{"83}
\libus@MathSymbol{\musicalnote}                 {\mathord}{symbols}{"84}
\libus@MathSymbol{\degree}                 {\mathord}{symbols}{"85}
\libus@MathSymbol{\mathsection}              {\mathord}{symbols}{"86}
\libus@MathSymbol{\mathparagraph}            {\mathord}{symbols}{"87}
\libus@MathSymbol{\checkmarkmath}            {\mathord}{symbols}{"88}
% two extension glyphs in "89, "8A
\libus@MathSymbol{\ell}       {\mathord}  {symbols}{"8B}
% "8E--"8F currently .notdef


%\libus@MathSymbol{\varbarwedge}              {\mathbin}{symbols}{"99}
%\libus@MathSymbol{\vardoublebarwedge}        {\mathbin}{symbols}{"9A}
\libus@MathSymbol{\invnot}                   {\mathord}{symbols}{"9B}
%\libus@MathSymbol{\sqlozenge}                {\mathord}{symbols}{"9C}
%\libus@MathSymbol{\profline}                 {\mathord}{symbols}{"9D}
%\libus@MathSymbol{\profsurf}                 {\mathord}{symbols}{"9E}
%\libus@MathSymbol{\viewdata}                 {\mathord}{symbols}{"9F}

%\libus@MathSymbol{\turnednot}                {\mathord}{symbols}{"A0}
%\libus@MathSymbol{\ulcorner}                {\mathopen}{symbols}{"A1}
%\libus@MathSymbol{\urcorner}               {\mathclose}{symbols}{"A2}
%\libus@MathSymbol{\llcorner}                {\mathopen}{symbols}{"A3}
%\libus@MathSymbol{\lrcorner}               {\mathclose}{symbols}{"A4}
%\libus@MathSymbol{\varhexagonlrbonds}        {\mathord}{symbols}{"A5}
%\libus@MathSymbol{\conictaper}               {\mathord}{symbols}{"A6}
%\libus@MathSymbol{\topbot}                   {\mathord}{symbols}{"A7}
%\libus@MathSymbol{\obar}                     {\mathbin}{symbols}{"A8}
%\libus@MathSymbol{\APLnotslash}              {\mathrel}{symbols}{"A9}
%\libus@MathSymbol{\APLnotbackslash}          {\mathord}{symbols}{"AA}
%\libus@MathSymbol{\APLboxupcaret}            {\mathord}{symbols}{"AB}
%\libus@MathSymbol{\APLboxquestion}           {\mathord}{symbols}{"AC}
%\libus@MathSymbol{\rangledownzigzagarrow}    {\mathord}{symbols}{"AD}
%\libus@MathSymbol{\hexagon}                  {\mathord}{symbols}{"AE}
%\libus@MathSymbol{\varcarriagereturn}        {\mathord}{symbols}{"AF}

%\libus@MathSymbol{\trapezium}                {\mathord}{symbols}{"B0}
%\libus@MathSymbol{\benzenr}                  {\mathord}{symbols}{"B1}
%\libus@MathSymbol{\strns}                    {\mathord}{symbols}{"B2}
%\libus@MathSymbol{\fltns}                    {\mathord}{symbols}{"B3}
%\libus@MathSymbol{\accurrent}                {\mathord}{symbols}{"B4}
%\libus@MathSymbol{\elinters}                 {\mathord}{symbols}{"B5}
\libus@MathSymbol{\mathvisiblespace}         {\mathord}{symbols}{"B6}
\libus@MathSymbol{\mdlgblksquare}            {\mathord}{symbols}{"B7} \let\blacksquare=\mdlgblksquare
\libus@MathSymbol{\mdlgwhtsquare}            {\mathord}{symbols}{"B8} \let\square=\mdlgwhtsquare \let\Box=\mdlgwhtsquare
%\libus@MathSymbol{\squoval}                  {\mathord}{symbols}{"B9}
%\libus@MathSymbol{\blackinwhitesquare}       {\mathord}{symbols}{"BA}
%\libus@MathSymbol{\squarehfill}              {\mathord}{symbols}{"BB}
%\libus@MathSymbol{\squarevfill}              {\mathord}{symbols}{"BC}
%\libus@MathSymbol{\squarehvfill}             {\mathord}{symbols}{"BD}
%\libus@MathSymbol{\squarenwsefill}           {\mathord}{symbols}{"BE}
%\libus@MathSymbol{\squareneswfill}           {\mathord}{symbols}{"BF}

%\libus@MathSymbol{\squarecrossfill}          {\mathord}{symbols}{"C0}
%\libus@MathSymbol{\smblksquare}              {\mathord}{symbols}{"C1}
%\libus@MathSymbol{\smwhtsquare}              {\mathord}{symbols}{"C2}
%\libus@MathSymbol{\hrectangleblack}          {\mathord}{symbols}{"C3}
%\libus@MathSymbol{\hrectangle}               {\mathord}{symbols}{"C4}
%\libus@MathSymbol{\vrectangleblack}          {\mathord}{symbols}{"C5}
%\libus@MathSymbol{\vrectangle}               {\mathord}{symbols}{"C6}
%\libus@MathSymbol{\parallelogramblack}       {\mathord}{symbols}{"C7}
%\libus@MathSymbol{\parallelogram}            {\mathord}{symbols}{"C8}
\libus@MathSymbol{\bigblacktriangleup}       {\mathord}{symbols}{"C9}
\libus@MathSymbol{\bigtriangleup}            {\mathbin}{symbols}{"CA} \let\varbigtriangleup=\bigtriangleup \let\triangle=\bigtriangleup
%\libus@MathSymbol{\blacktriangle}            {\mathord}{symbols}{"CB}
%\libus@MathSymbol{\vartriangle}              {\mathrel}{symbols}{"CC}
\libus@MathSymbol{\blacktriangleright}       {\mathord}{symbols}{"CD}
\libus@MathSymbol{\vartriangleright}         {\mathrel}{symbols}{"CE} \libus@MathSymbol{\rhd}{\mathbin}{symbols}{"CE}
%\libus@MathSymbol{\smallblacktriangleright}  {\mathord}{symbols}{"CF}

%\libus@MathSymbol{\smalltriangleright}       {\mathord}{symbols}{"D0}
%\libus@MathSymbol{\blackpointerright}        {\mathord}{symbols}{"D1}
%\libus@MathSymbol{\whitepointerright}        {\mathord}{symbols}{"D2}
\libus@MathSymbol{\bigblacktriangledown}     {\mathord}{symbols}{"D3}
\libus@MathSymbol{\bigtriangledown}          {\mathord}{symbols}{"D4} \let\varbigtriangledown=\bigtriangledown
\libus@MathSymbol{\blacktriangledown}        {\mathord}{symbols}{"D5}
\libus@MathSymbol{\triangledown}             {\mathord}{symbols}{"D6}
\libus@MathSymbol{\blacktriangleleft}        {\mathord}{symbols}{"D7}
\libus@MathSymbol{\vartriangleleft}          {\mathrel}{symbols}{"D8} \libus@MathSymbol{\lhd}						{\mathbin}{symbols}{"D8}
\libus@MathSymbol{\Longleftarrow}            {\mathrel}{symbols}{"D9}
\libus@MathSymbol{\Longrightarrow}           {\mathrel}{symbols}{"DA}
\libus@MathSymbol{\Longleftrightarrow}       {\mathrel}{symbols}{"DB}
\libus@MathSymbol{\Longmapsfrom}             {\mathrel}{symbols}{"DC}
\libus@MathSymbol{\mdlgblkdiamond}           {\mathord}{symbols}{"DE}
\libus@MathSymbol{\mdlgwhtdiamond}           {\mathord}{symbols}{"DE}
\libus@MathSymbol{\Longmapsto}               {\mathrel}{symbols}{"DF}

\libus@MathSymbol{\fisheye}                  {\mathord}{symbols}{"E0}
\libus@MathSymbol{\mdlgwhtlozenge}           {\mathord}{symbols}{"E1} \let\lozenge=\mdlgwhtlozenge \let\Diamond=\mdlgwhtlozenge
\libus@MathSymbol{\mdlgwhtcircle}            {\mathbin}{symbols}{"E2} \let\bigcirc=\mdlgwhtcircle
\libus@MathSymbol{\relbar}             {\mathord}{symbols}{"E3}
\libus@MathSymbol{\Relbar}           {\mathord}{symbols}{"E4}
\libus@MathSymbol{\bullseye}                 {\mathord}{symbols}{"E5}
\libus@MathSymbol{\mdlgblkcircle}            {\mathord}{symbols}{"E6}

\libus@MathSymbol{\nLeftarrow}               {\mathrel}{symbols}{"EF}
\libus@MathSymbol{\nLeftrightarrow}          {\mathrel}{symbols}{"F0}
\libus@MathSymbol{\nRightarrow}              {\mathrel}{symbols}{"F1}
\libus@MathSymbol{\Leftarrow}                {\mathrel}{symbols}{"F2}
%\libus@MathSymbol{\Uparrow}                {\mathrel}{symbols}{"F3}
\libus@MathSymbol{\Rightarrow}               {\mathrel}{symbols}{"F4}
%\libus@MathSymbol{\Downarrow}                {\mathrel}{symbols}{"F5}
\libus@MathSymbol{\Leftrightarrow}           {\mathrel}{symbols}{"F6}
%\libus@MathSymbol{\Updownarrow}           {\mathrel}{symbols}{"F7}

\libus@MathSymbol{\Nwarrow}                  {\mathrel}{symbols}{"F8}
\libus@MathSymbol{\Nearrow}                  {\mathrel}{symbols}{"F9}
\libus@MathSymbol{\Searrow}                  {\mathrel}{symbols}{"FA}
\libus@MathSymbol{\Swarrow}                  {\mathrel}{symbols}{"FB}

\libus@MathSymbol{\Mapsfrom}          {\mathord}{symbols}{"FC}
\libus@MathSymbol{\smwhtcircle}              {\mathord}{symbols}{"FD} \let\circ=\smwhtcircle
\libus@MathSymbol{\smwhtdiamond}             {\mathbin}{symbols}{"FE}
        \let\diamond=\smwhtdiamond
\libus@MathSymbol{\Mapsto}         {\mathord}{symbols}{"FF}
%
\DeclareMathSizes{10}{10}{8}{6.5}
\AtBeginDocument{
        \renewcommand{\big}{\bBigg@{1.2}}
        \renewcommand{\Bigg}{\bBigg@{2.7}}
        \let\dotsb@\@cdots
        \let\dotsb\cdots
        \let\dotsm\cdots
}
\@ifpackageloaded{amsopn}{
    \begingroup \catcode`\"=12
    \gdef\newmcodes@{%
      \mathcode`\'="007F\relax%
      \mathcode`\*="003C\relax%
      \mathcode`\.="613A\relax%
      \ifnum\mathcode`\-="002A \else
        \mathchardef\std@minus\mathcode`\-\relax
      \fi
      \mathcode`\-="002A\relax%
      \mathcode`\/="005F\relax%
      \mathcode`\:="603A\relax%
    }
    \endgroup
}{}
\DeclareTextSymbol{\i}{LS1}{123}
\DeclareTextSymbol{\j}{LS1}{124}
\@namedef{not=}{\ne}
\@namedef{not>}{\ngtr}
\@namedef{not<}{\nless}
\let\ngets\nleftarrow
\let\nsimeq\nsime
\let\nforksnot\forks
\let\nle\nleq
\let\nge\ngeq
\DeclareRobustCommand*{\not}[1]{%
    \begingroup \escapechar\m@ne\xdef\@gtempa{not\string#1}\endgroup
    \@ifundefined{\@gtempa}%
        {\not@n@{#1}}%
        {\@nameuse{\@gtempa}}}
\def\not@n@#1{%
    \begingroup \escapechar\m@ne\xdef\@gtempa{n\string#1}\endgroup
    \@ifundefined{\@gtempa}%
        {\notchar #1}%
        {\@nameuse{\@gtempa}}}
\def\libus@dotlessi{\ifmmode\imath\else\i\fi}
\@ifundefined{es@dotlessi}{}{\let\es@dotlessi\libus@dotlessi}

\def\txf@ntname#1{\expandafter\let\expandafter\@ntx@\csname sym#1\endcsname
  \ifx\@ntx@\relax %
  \else
    \expandafter\def\csname @@@X\number\@ntx@ \endcsname{#1}
  \fi}
\newcommand{\ShowMathFonts}{%
\txf@ntname{operators}
\txf@ntname{symbols}
\txf@ntname{largesymbols}
\txf@ntname{letters}
\txf@ntname{bold-operators}
\txf@ntname{bold-letters}
\txf@ntname{symbolsbb}
\txf@ntname{sans}
\txf@ntname{sansi}
  \typeout{*** Mathgroups ***}
  \count@\z@
  \loop\ifnum\count@<16
    \def\@@ntx@{}
    \expandafter\let\expandafter\@ntx@\csname @@@X\the\count@\endcsname
    \ifx\@ntx@\relax\else\def\@@ntx@{\space[\@ntx@]}\fi
    \typeout{(\the\count@: \the\textfont\count@ = \fontname\textfont\count@\@@ntx@)}
    \advance\count@\@ne
  \repeat
  \typeout{***}}


\endinput