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269 lines
14 KiB
269 lines
14 KiB
%%
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%% This is file `amssymb.sty',
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%% generated with the docstrip utility.
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%%
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%% The original source files were:
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%%
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%% amssymb.dtx
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%%
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%% This is a generated file.
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%%
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%% Copyright 2001, 2009, 2013 American Mathematical Society.
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%%
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%% American Mathematical Society
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%% Technical Support
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%% Publications Technical Group
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%% 201 Charles Street
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%% Providence, RI 02904
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%% USA
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%% tel: (401) 455-4080
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%% (800) 321-4267 (USA and Canada only)
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%% fax: (401) 331-3842
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%% email: tech-support@ams.org
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%%
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%% Unlimited copying and redistribution of this file are permitted as
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%% long as this file is not modified. Modifications, and distribution
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%% of modified versions, are permitted, but only if the resulting file
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%% is renamed.
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%%
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\NeedsTeXFormat{LaTeX2e}% LaTeX 2.09 can't be used (nor non-LaTeX)
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[1994/12/01]% LaTeX date must be December 1994 or later
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\ProvidesPackage{amssymb}[2013/01/14 v3.01 AMS font symbols]
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\DeclareOption{psamsfonts}{\PassOptionsToPackage{psamsfonts}{amsfonts}}
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\ProcessOptions\relax
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\RequirePackage{amsfonts}[1995/01/01]
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\@ifpackageloaded{stix}{%
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\PackageWarningNoLine{amssymb}{The 'amssymb' package is redundant when
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you are using the 'stix' package, so I'm not going to load amssymb}
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\endinput
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}{}
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\let\square\relax \let\rightsquigarrow\square \let\lozenge\square
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\let\vartriangleright\square \let\vartriangleleft\square
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\let\trianglerighteq\square \let\trianglelefteq\square
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\begingroup \catcode`\"=12
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\DeclareMathSymbol{\boxdot} {\mathbin}{AMSa}{"00}
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\DeclareMathSymbol{\boxplus} {\mathbin}{AMSa}{"01}
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\DeclareMathSymbol{\boxtimes} {\mathbin}{AMSa}{"02}
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\DeclareMathSymbol{\square} {\mathord}{AMSa}{"03}
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\DeclareMathSymbol{\blacksquare} {\mathord}{AMSa}{"04}
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\DeclareMathSymbol{\centerdot} {\mathbin}{AMSa}{"05}
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\DeclareMathSymbol{\lozenge} {\mathord}{AMSa}{"06}
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\DeclareMathSymbol{\blacklozenge} {\mathord}{AMSa}{"07}
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\DeclareMathSymbol{\circlearrowright} {\mathrel}{AMSa}{"08}
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\DeclareMathSymbol{\circlearrowleft} {\mathrel}{AMSa}{"09}
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%% In amsfonts.sty:
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%%\DeclareMathSymbol{\rightleftharpoons}{\mathrel}{AMSa}{"0A}
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\DeclareMathSymbol{\leftrightharpoons} {\mathrel}{AMSa}{"0B}
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\DeclareMathSymbol{\boxminus} {\mathbin}{AMSa}{"0C}
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\DeclareMathSymbol{\Vdash} {\mathrel}{AMSa}{"0D}
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\DeclareMathSymbol{\Vvdash} {\mathrel}{AMSa}{"0E}
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\DeclareMathSymbol{\vDash} {\mathrel}{AMSa}{"0F}
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\DeclareMathSymbol{\twoheadrightarrow} {\mathrel}{AMSa}{"10}
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\DeclareMathSymbol{\twoheadleftarrow} {\mathrel}{AMSa}{"11}
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\DeclareMathSymbol{\leftleftarrows} {\mathrel}{AMSa}{"12}
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\DeclareMathSymbol{\rightrightarrows} {\mathrel}{AMSa}{"13}
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\DeclareMathSymbol{\upuparrows} {\mathrel}{AMSa}{"14}
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\DeclareMathSymbol{\downdownarrows} {\mathrel}{AMSa}{"15}
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\DeclareMathSymbol{\upharpoonright} {\mathrel}{AMSa}{"16}
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\global\let\restriction\upharpoonright
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\DeclareMathSymbol{\downharpoonright} {\mathrel}{AMSa}{"17}
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\DeclareMathSymbol{\upharpoonleft} {\mathrel}{AMSa}{"18}
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\DeclareMathSymbol{\downharpoonleft}{\mathrel}{AMSa}{"19}
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\DeclareMathSymbol{\rightarrowtail} {\mathrel}{AMSa}{"1A}
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\DeclareMathSymbol{\leftarrowtail} {\mathrel}{AMSa}{"1B}
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\DeclareMathSymbol{\leftrightarrows}{\mathrel}{AMSa}{"1C}
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\DeclareMathSymbol{\rightleftarrows}{\mathrel}{AMSa}{"1D}
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\DeclareMathSymbol{\Lsh} {\mathrel}{AMSa}{"1E}
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\DeclareMathSymbol{\Rsh} {\mathrel}{AMSa}{"1F}
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\DeclareMathSymbol{\rightsquigarrow} {\mathrel}{AMSa}{"20}
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\DeclareMathSymbol{\leftrightsquigarrow}{\mathrel}{AMSa}{"21}
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\DeclareMathSymbol{\looparrowleft} {\mathrel}{AMSa}{"22}
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\DeclareMathSymbol{\looparrowright} {\mathrel}{AMSa}{"23}
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\DeclareMathSymbol{\circeq} {\mathrel}{AMSa}{"24}
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\DeclareMathSymbol{\succsim} {\mathrel}{AMSa}{"25}
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\DeclareMathSymbol{\gtrsim} {\mathrel}{AMSa}{"26}
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\DeclareMathSymbol{\gtrapprox} {\mathrel}{AMSa}{"27}
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\DeclareMathSymbol{\multimap} {\mathrel}{AMSa}{"28}
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\DeclareMathSymbol{\therefore} {\mathrel}{AMSa}{"29}
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\DeclareMathSymbol{\because} {\mathrel}{AMSa}{"2A}
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\DeclareMathSymbol{\doteqdot} {\mathrel}{AMSa}{"2B}
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\global\let\Doteq\doteqdot
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\DeclareMathSymbol{\triangleq} {\mathrel}{AMSa}{"2C}
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\DeclareMathSymbol{\precsim} {\mathrel}{AMSa}{"2D}
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\DeclareMathSymbol{\lesssim} {\mathrel}{AMSa}{"2E}
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\DeclareMathSymbol{\lessapprox} {\mathrel}{AMSa}{"2F}
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\DeclareMathSymbol{\eqslantless} {\mathrel}{AMSa}{"30}
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\DeclareMathSymbol{\eqslantgtr} {\mathrel}{AMSa}{"31}
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\DeclareMathSymbol{\curlyeqprec} {\mathrel}{AMSa}{"32}
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\DeclareMathSymbol{\curlyeqsucc} {\mathrel}{AMSa}{"33}
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\DeclareMathSymbol{\preccurlyeq} {\mathrel}{AMSa}{"34}
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\DeclareMathSymbol{\leqq} {\mathrel}{AMSa}{"35}
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\DeclareMathSymbol{\leqslant} {\mathrel}{AMSa}{"36}
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\DeclareMathSymbol{\lessgtr} {\mathrel}{AMSa}{"37}
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\DeclareMathSymbol{\backprime} {\mathord}{AMSa}{"38}
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\DeclareMathSymbol{\risingdotseq} {\mathrel}{AMSa}{"3A}
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\DeclareMathSymbol{\fallingdotseq}{\mathrel}{AMSa}{"3B}
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\DeclareMathSymbol{\succcurlyeq} {\mathrel}{AMSa}{"3C}
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\DeclareMathSymbol{\geqq} {\mathrel}{AMSa}{"3D}
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\DeclareMathSymbol{\geqslant} {\mathrel}{AMSa}{"3E}
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\DeclareMathSymbol{\gtrless} {\mathrel}{AMSa}{"3F}
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%% in amsfonts.sty
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%% \DeclareMathSymbol{\sqsubset} {\mathrel}{AMSa}{"40}
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%% \DeclareMathSymbol{\sqsupset} {\mathrel}{AMSa}{"41}
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\DeclareMathSymbol{\vartriangleright}{\mathrel}{AMSa}{"42}
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\DeclareMathSymbol{\vartriangleleft} {\mathrel}{AMSa}{"43}
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\DeclareMathSymbol{\trianglerighteq} {\mathrel}{AMSa}{"44}
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\DeclareMathSymbol{\trianglelefteq} {\mathrel}{AMSa}{"45}
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\DeclareMathSymbol{\bigstar} {\mathord}{AMSa}{"46}
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\DeclareMathSymbol{\between} {\mathrel}{AMSa}{"47}
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\DeclareMathSymbol{\blacktriangledown} {\mathord}{AMSa}{"48}
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\DeclareMathSymbol{\blacktriangleright} {\mathrel}{AMSa}{"49}
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\DeclareMathSymbol{\blacktriangleleft} {\mathrel}{AMSa}{"4A}
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\DeclareMathSymbol{\vartriangle} {\mathrel}{AMSa}{"4D}
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\DeclareMathSymbol{\blacktriangle} {\mathord}{AMSa}{"4E}
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\DeclareMathSymbol{\triangledown} {\mathord}{AMSa}{"4F}
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\DeclareMathSymbol{\eqcirc} {\mathrel}{AMSa}{"50}
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\DeclareMathSymbol{\lesseqgtr} {\mathrel}{AMSa}{"51}
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\DeclareMathSymbol{\gtreqless} {\mathrel}{AMSa}{"52}
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\DeclareMathSymbol{\lesseqqgtr} {\mathrel}{AMSa}{"53}
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\DeclareMathSymbol{\gtreqqless} {\mathrel}{AMSa}{"54}
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\DeclareMathSymbol{\Rrightarrow} {\mathrel}{AMSa}{"56}
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\DeclareMathSymbol{\Lleftarrow} {\mathrel}{AMSa}{"57}
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\DeclareMathSymbol{\veebar} {\mathbin}{AMSa}{"59}
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\DeclareMathSymbol{\barwedge} {\mathbin}{AMSa}{"5A}
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\DeclareMathSymbol{\doublebarwedge} {\mathbin}{AMSa}{"5B}
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%% In amsfonts.sty
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%%\DeclareMathSymbol{\angle} {\mathord}{AMSa}{"5C}
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\DeclareMathSymbol{\measuredangle} {\mathord}{AMSa}{"5D}
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\DeclareMathSymbol{\sphericalangle} {\mathord}{AMSa}{"5E}
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\DeclareMathSymbol{\varpropto} {\mathrel}{AMSa}{"5F}
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\DeclareMathSymbol{\smallsmile} {\mathrel}{AMSa}{"60}
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\DeclareMathSymbol{\smallfrown} {\mathrel}{AMSa}{"61}
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\DeclareMathSymbol{\Subset} {\mathrel}{AMSa}{"62}
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\DeclareMathSymbol{\Supset} {\mathrel}{AMSa}{"63}
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\DeclareMathSymbol{\Cup} {\mathbin}{AMSa}{"64}
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\global\let\doublecup\Cup
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\DeclareMathSymbol{\Cap} {\mathbin}{AMSa}{"65}
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\global\let\doublecap\Cap
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\DeclareMathSymbol{\curlywedge} {\mathbin}{AMSa}{"66}
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\DeclareMathSymbol{\curlyvee} {\mathbin}{AMSa}{"67}
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\DeclareMathSymbol{\leftthreetimes} {\mathbin}{AMSa}{"68}
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\DeclareMathSymbol{\rightthreetimes}{\mathbin}{AMSa}{"69}
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\DeclareMathSymbol{\subseteqq} {\mathrel}{AMSa}{"6A}
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\DeclareMathSymbol{\supseteqq} {\mathrel}{AMSa}{"6B}
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\DeclareMathSymbol{\bumpeq} {\mathrel}{AMSa}{"6C}
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\DeclareMathSymbol{\Bumpeq} {\mathrel}{AMSa}{"6D}
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\DeclareMathSymbol{\lll} {\mathrel}{AMSa}{"6E}
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\global\let\llless\lll
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\DeclareMathSymbol{\ggg} {\mathrel}{AMSa}{"6F}
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\global\let\gggtr\ggg
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\DeclareMathSymbol{\circledS} {\mathord}{AMSa}{"73}
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\DeclareMathSymbol{\pitchfork} {\mathrel}{AMSa}{"74}
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\DeclareMathSymbol{\dotplus} {\mathbin}{AMSa}{"75}
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\DeclareMathSymbol{\backsim} {\mathrel}{AMSa}{"76}
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\DeclareMathSymbol{\backsimeq} {\mathrel}{AMSa}{"77}
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\DeclareMathSymbol{\complement} {\mathord}{AMSa}{"7B}
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\DeclareMathSymbol{\intercal} {\mathbin}{AMSa}{"7C}
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\DeclareMathSymbol{\circledcirc} {\mathbin}{AMSa}{"7D}
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\DeclareMathSymbol{\circledast} {\mathbin}{AMSa}{"7E}
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\DeclareMathSymbol{\circleddash} {\mathbin}{AMSa}{"7F}
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%% Begin AMSb declarations
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\DeclareMathSymbol{\lvertneqq} {\mathrel}{AMSb}{"00}
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\DeclareMathSymbol{\gvertneqq} {\mathrel}{AMSb}{"01}
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\DeclareMathSymbol{\nleq} {\mathrel}{AMSb}{"02}
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\DeclareMathSymbol{\ngeq} {\mathrel}{AMSb}{"03}
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\DeclareMathSymbol{\nless} {\mathrel}{AMSb}{"04}
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\DeclareMathSymbol{\ngtr} {\mathrel}{AMSb}{"05}
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\DeclareMathSymbol{\nprec} {\mathrel}{AMSb}{"06}
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\DeclareMathSymbol{\nsucc} {\mathrel}{AMSb}{"07}
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\DeclareMathSymbol{\lneqq} {\mathrel}{AMSb}{"08}
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\DeclareMathSymbol{\gneqq} {\mathrel}{AMSb}{"09}
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\DeclareMathSymbol{\nleqslant} {\mathrel}{AMSb}{"0A}
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\DeclareMathSymbol{\ngeqslant} {\mathrel}{AMSb}{"0B}
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\DeclareMathSymbol{\lneq} {\mathrel}{AMSb}{"0C}
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\DeclareMathSymbol{\gneq} {\mathrel}{AMSb}{"0D}
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\DeclareMathSymbol{\npreceq} {\mathrel}{AMSb}{"0E}
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\DeclareMathSymbol{\nsucceq} {\mathrel}{AMSb}{"0F}
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\DeclareMathSymbol{\precnsim} {\mathrel}{AMSb}{"10}
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\DeclareMathSymbol{\succnsim} {\mathrel}{AMSb}{"11}
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\DeclareMathSymbol{\lnsim} {\mathrel}{AMSb}{"12}
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\DeclareMathSymbol{\gnsim} {\mathrel}{AMSb}{"13}
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\DeclareMathSymbol{\nleqq} {\mathrel}{AMSb}{"14}
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\DeclareMathSymbol{\ngeqq} {\mathrel}{AMSb}{"15}
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\DeclareMathSymbol{\precneqq} {\mathrel}{AMSb}{"16}
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\DeclareMathSymbol{\succneqq} {\mathrel}{AMSb}{"17}
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\DeclareMathSymbol{\precnapprox} {\mathrel}{AMSb}{"18}
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\DeclareMathSymbol{\succnapprox} {\mathrel}{AMSb}{"19}
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\DeclareMathSymbol{\lnapprox} {\mathrel}{AMSb}{"1A}
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\DeclareMathSymbol{\gnapprox} {\mathrel}{AMSb}{"1B}
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\DeclareMathSymbol{\nsim} {\mathrel}{AMSb}{"1C}
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\DeclareMathSymbol{\ncong} {\mathrel}{AMSb}{"1D}
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\DeclareMathSymbol{\diagup} {\mathord}{AMSb}{"1E}
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\DeclareMathSymbol{\diagdown} {\mathord}{AMSb}{"1F}
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\DeclareMathSymbol{\varsubsetneq} {\mathrel}{AMSb}{"20}
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\DeclareMathSymbol{\varsupsetneq} {\mathrel}{AMSb}{"21}
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\DeclareMathSymbol{\nsubseteqq} {\mathrel}{AMSb}{"22}
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\DeclareMathSymbol{\nsupseteqq} {\mathrel}{AMSb}{"23}
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\DeclareMathSymbol{\subsetneqq} {\mathrel}{AMSb}{"24}
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\DeclareMathSymbol{\supsetneqq} {\mathrel}{AMSb}{"25}
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\DeclareMathSymbol{\varsubsetneqq} {\mathrel}{AMSb}{"26}
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\DeclareMathSymbol{\varsupsetneqq} {\mathrel}{AMSb}{"27}
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\DeclareMathSymbol{\subsetneq} {\mathrel}{AMSb}{"28}
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\DeclareMathSymbol{\supsetneq} {\mathrel}{AMSb}{"29}
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\DeclareMathSymbol{\nsubseteq} {\mathrel}{AMSb}{"2A}
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\DeclareMathSymbol{\nsupseteq} {\mathrel}{AMSb}{"2B}
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\DeclareMathSymbol{\nparallel} {\mathrel}{AMSb}{"2C}
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\DeclareMathSymbol{\nmid} {\mathrel}{AMSb}{"2D}
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\DeclareMathSymbol{\nshortmid} {\mathrel}{AMSb}{"2E}
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\DeclareMathSymbol{\nshortparallel} {\mathrel}{AMSb}{"2F}
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\DeclareMathSymbol{\nvdash} {\mathrel}{AMSb}{"30}
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\DeclareMathSymbol{\nVdash} {\mathrel}{AMSb}{"31}
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\DeclareMathSymbol{\nvDash} {\mathrel}{AMSb}{"32}
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\DeclareMathSymbol{\nVDash} {\mathrel}{AMSb}{"33}
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\DeclareMathSymbol{\ntrianglerighteq}{\mathrel}{AMSb}{"34}
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\DeclareMathSymbol{\ntrianglelefteq}{\mathrel}{AMSb}{"35}
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\DeclareMathSymbol{\ntriangleleft} {\mathrel}{AMSb}{"36}
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\DeclareMathSymbol{\ntriangleright} {\mathrel}{AMSb}{"37}
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\DeclareMathSymbol{\nleftarrow} {\mathrel}{AMSb}{"38}
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\DeclareMathSymbol{\nrightarrow} {\mathrel}{AMSb}{"39}
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\DeclareMathSymbol{\nLeftarrow} {\mathrel}{AMSb}{"3A}
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\DeclareMathSymbol{\nRightarrow} {\mathrel}{AMSb}{"3B}
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\DeclareMathSymbol{\nLeftrightarrow}{\mathrel}{AMSb}{"3C}
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\DeclareMathSymbol{\nleftrightarrow}{\mathrel}{AMSb}{"3D}
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\DeclareMathSymbol{\divideontimes} {\mathbin}{AMSb}{"3E}
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\DeclareMathSymbol{\varnothing} {\mathord}{AMSb}{"3F}
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\DeclareMathSymbol{\nexists} {\mathord}{AMSb}{"40}
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\DeclareMathSymbol{\Finv} {\mathord}{AMSb}{"60}
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\DeclareMathSymbol{\Game} {\mathord}{AMSb}{"61}
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%% In amsfonts.sty:
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%%\DeclareMathSymbol{\mho} {\mathord}{AMSb}{"66}
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\DeclareMathSymbol{\eth} {\mathord}{AMSb}{"67}
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\DeclareMathSymbol{\eqsim} {\mathrel}{AMSb}{"68}
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\DeclareMathSymbol{\beth} {\mathord}{AMSb}{"69}
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\DeclareMathSymbol{\gimel} {\mathord}{AMSb}{"6A}
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\DeclareMathSymbol{\daleth} {\mathord}{AMSb}{"6B}
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\DeclareMathSymbol{\lessdot} {\mathbin}{AMSb}{"6C}
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\DeclareMathSymbol{\gtrdot} {\mathbin}{AMSb}{"6D}
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\DeclareMathSymbol{\ltimes} {\mathbin}{AMSb}{"6E}
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\DeclareMathSymbol{\rtimes} {\mathbin}{AMSb}{"6F}
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\DeclareMathSymbol{\shortmid} {\mathrel}{AMSb}{"70}
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\DeclareMathSymbol{\shortparallel} {\mathrel}{AMSb}{"71}
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\DeclareMathSymbol{\smallsetminus} {\mathbin}{AMSb}{"72}
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\DeclareMathSymbol{\thicksim} {\mathrel}{AMSb}{"73}
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\DeclareMathSymbol{\thickapprox} {\mathrel}{AMSb}{"74}
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\DeclareMathSymbol{\approxeq} {\mathrel}{AMSb}{"75}
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\DeclareMathSymbol{\succapprox} {\mathrel}{AMSb}{"76}
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\DeclareMathSymbol{\precapprox} {\mathrel}{AMSb}{"77}
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\DeclareMathSymbol{\curvearrowleft} {\mathrel}{AMSb}{"78}
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\DeclareMathSymbol{\curvearrowright}{\mathrel}{AMSb}{"79}
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\DeclareMathSymbol{\digamma} {\mathord}{AMSb}{"7A}
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\DeclareMathSymbol{\varkappa} {\mathord}{AMSb}{"7B}
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\DeclareMathSymbol{\Bbbk} {\mathord}{AMSb}{"7C}
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\DeclareMathSymbol{\hslash} {\mathord}{AMSb}{"7D}
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%% In amsfonts.sty:
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%%\DeclareMathSymbol{\hbar} {\mathord}{AMSb}{"7E}
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\DeclareMathSymbol{\backepsilon} {\mathrel}{AMSb}{"7F}
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\endgroup
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\endinput
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%%
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%% End of file `amssymb.sty'.
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