doc-src/TutorialI/isabellesym.sty
changeset 10211 1bece7f35762
parent 9992 4281ccea43f0
child 10226 2c0ad01ddaf7
equal deleted inserted replaced
10210:e8aa81362f41 10211:1bece7f35762
    16 
    16 
    17 % Note: \emph is important for proper spacing in fake math mode, it
    17 % Note: \emph is important for proper spacing in fake math mode, it
    18 % automatically inserts italic corrections around symbols wherever
    18 % automatically inserts italic corrections around symbols wherever
    19 % appropriate.
    19 % appropriate.
    20 
    20 
    21 \newcommand{\isasymspacespace}{~~}
    21 \newcommand{\isamath}[1]{\emph{$#1$}}
    22 \newcommand{\isasymGamma}{$\Gamma$}
    22 \newcommand{\isatext}[1]{\emph{#1}}
    23 \newcommand{\isasymDelta}{$\Delta$}
    23 
    24 \newcommand{\isasymTheta}{$\Theta$}
    24 
    25 \newcommand{\isasymLambda}{$\Lambda$}
    25 % symbol definitions
    26 \newcommand{\isasymXi}{$\Xi$}
    26 
    27 \newcommand{\isasymPi}{$\Pi$}
    27 \newcommand{\isasymspacespace}{\isamath{~~}}
    28 \newcommand{\isasymSigma}{$\Sigma$}
    28 \newcommand{\isasymGamma}{\isamath{\Gamma}}
    29 \newcommand{\isasymUpsilon}{$\Upsilon$}
    29 \newcommand{\isasymDelta}{\isamath{\Delta}}
    30 \newcommand{\isasymPhi}{$\Phi$}
    30 \newcommand{\isasymTheta}{\isamath{\Theta}}
    31 \newcommand{\isasymPsi}{$\Psi$}
    31 \newcommand{\isasymLambda}{\isamath{\Lambda}}
    32 \newcommand{\isasymOmega}{$\Omega$}
    32 \newcommand{\isasymXi}{\isamath{\Xi}}
    33 \newcommand{\isasymalpha}{$\alpha$}
    33 \newcommand{\isasymPi}{\isamath{\Pi}}
    34 \newcommand{\isasymbeta}{$\beta$}
    34 \newcommand{\isasymSigma}{\isamath{\Sigma}}
    35 \newcommand{\isasymgamma}{$\gamma$}
    35 \newcommand{\isasymUpsilon}{\isamath{\Upsilon}}
    36 \newcommand{\isasymdelta}{$\delta$}
    36 \newcommand{\isasymPhi}{\isamath{\Phi}}
    37 \newcommand{\isasymepsilon}{$\varepsilon$}
    37 \newcommand{\isasymPsi}{\isamath{\Psi}}
    38 \newcommand{\isasymzeta}{$\zeta$}
    38 \newcommand{\isasymOmega}{\isamath{\Omega}}
    39 \newcommand{\isasymeta}{$\eta$}
    39 \newcommand{\isasymalpha}{\isamath{\alpha}}
    40 \newcommand{\isasymtheta}{$\vartheta$}
    40 \newcommand{\isasymbeta}{\isamath{\beta}}
    41 \newcommand{\isasymiota}{$\iota$}
    41 \newcommand{\isasymgamma}{\isamath{\gamma}}
    42 \newcommand{\isasymkappa}{$\kappa$}
    42 \newcommand{\isasymdelta}{\isamath{\delta}}
    43 \newcommand{\isasymlambda}{$\lambda$}
    43 \newcommand{\isasymepsilon}{\isamath{\varepsilon}}
    44 \newcommand{\isasymmu}{$\mu$}
    44 \newcommand{\isasymzeta}{\isamath{\zeta}}
    45 \newcommand{\isasymnu}{$\nu$}
    45 \newcommand{\isasymeta}{\isamath{\eta}}
    46 \newcommand{\isasymxi}{$\xi$}
    46 \newcommand{\isasymtheta}{\isamath{\vartheta}}
    47 \newcommand{\isasympi}{$\pi$}
    47 \newcommand{\isasymiota}{\isamath{\iota}}
    48 \newcommand{\isasymrho}{$\varrho$}
    48 \newcommand{\isasymkappa}{\isamath{\kappa}}
    49 \newcommand{\isasymsigma}{$\sigma$}
    49 \newcommand{\isasymlambda}{\isamath{\lambda}}
    50 \newcommand{\isasymtau}{$\tau$}
    50 \newcommand{\isasymmu}{\isamath{\mu}}
    51 \newcommand{\isasymupsilon}{$\upsilon$}
    51 \newcommand{\isasymnu}{\isamath{\nu}}
    52 \newcommand{\isasymphi}{$\varphi$}
    52 \newcommand{\isasymxi}{\isamath{\xi}}
    53 \newcommand{\isasymchi}{$\chi$}
    53 \newcommand{\isasympi}{\isamath{\pi}}
    54 \newcommand{\isasympsi}{$\psi$}
    54 \newcommand{\isasymrho}{\isamath{\varrho}}
    55 \newcommand{\isasymomega}{$\omega$}
    55 \newcommand{\isasymsigma}{\isamath{\sigma}}
    56 \newcommand{\isasymnot}{\emph{$\neg$}}
    56 \newcommand{\isasymtau}{\isamath{\tau}}
    57 \newcommand{\isasymand}{\emph{$\wedge$}}
    57 \newcommand{\isasymupsilon}{\isamath{\upsilon}}
    58 \newcommand{\isasymor}{\emph{$\vee$}}
    58 \newcommand{\isasymphi}{\isamath{\varphi}}
    59 \newcommand{\isasymforall}{\emph{$\forall\,$}}
    59 \newcommand{\isasymchi}{\isamath{\chi}}
    60 \newcommand{\isasymexists}{\emph{$\exists\,$}}
    60 \newcommand{\isasympsi}{\isamath{\psi}}
    61 \newcommand{\isasymAnd}{\emph{$\bigwedge\,$}}
    61 \newcommand{\isasymomega}{\isamath{\omega}}
    62 \newcommand{\isasymlceil}{\emph{$\lceil$}}
    62 \newcommand{\isasymnot}{\isamath{\neg}}
    63 \newcommand{\isasymrceil}{\emph{$\rceil$}}
    63 \newcommand{\isasymand}{\isamath{\wedge}}
    64 \newcommand{\isasymlfloor}{\emph{$\lfloor$}}
    64 \newcommand{\isasymor}{\isamath{\vee}}
    65 \newcommand{\isasymrfloor}{\emph{$\rfloor$}}
    65 \newcommand{\isasymforall}{\isamath{\forall\,}}
    66 \newcommand{\isasymturnstile}{\emph{$\vdash$}}
    66 \newcommand{\isasymexists}{\isamath{\exists\,}}
    67 \newcommand{\isasymTurnstile}{\emph{$\models$}}
    67 \newcommand{\isasymAnd}{\isamath{\bigwedge\,}}
    68 \newcommand{\isasymlbrakk}{\emph{$\mathopen{\lbrack\mkern-3mu\lbrack}$}}
    68 \newcommand{\isasymlceil}{\isamath{\lceil}}
    69 \newcommand{\isasymrbrakk}{\emph{$\mathclose{\rbrack\mkern-3mu\rbrack}$}}
    69 \newcommand{\isasymrceil}{\isamath{\rceil}}
    70 \newcommand{\isasymcdot}{\emph{$\cdot$}}
    70 \newcommand{\isasymlfloor}{\isamath{\lfloor}}
    71 \newcommand{\isasymin}{\emph{$\in$}}
    71 \newcommand{\isasymrfloor}{\isamath{\rfloor}}
    72 \newcommand{\isasymsubseteq}{\emph{$\subseteq$}}
    72 \newcommand{\isasymturnstile}{\isamath{\vdash}}
    73 \newcommand{\isasyminter}{\emph{$\cap$}}
    73 \newcommand{\isasymTurnstile}{\isamath{\models}}
    74 \newcommand{\isasymunion}{\emph{$\cup$}}
    74 \newcommand{\isasymlbrakk}{\isamath{\mathopen{\lbrack\mkern-3mu\lbrack}}}
    75 \newcommand{\isasymInter}{\emph{$\bigcap\,$}}
    75 \newcommand{\isasymrbrakk}{\isamath{\mathclose{\rbrack\mkern-3mu\rbrack}}}
    76 \newcommand{\isasymUnion}{\emph{$\bigcup\,$}}
    76 \newcommand{\isasymcdot}{\isamath{\cdot}}
    77 \newcommand{\isasymsqinter}{\emph{$\sqcap$}}
    77 \newcommand{\isasymin}{\isamath{\in}}
    78 \newcommand{\isasymsqunion}{\emph{$\sqcup$}}
    78 \newcommand{\isasymsubseteq}{\isamath{\subseteq}}
    79 \newcommand{\isasymSqinter}{\emph{$\bigsqcap\,$}}  %requires stmaryrd
    79 \newcommand{\isasyminter}{\isamath{\cap}}
    80 \newcommand{\isasymSqunion}{\emph{$\bigsqcup\,$}}
    80 \newcommand{\isasymunion}{\isamath{\cup}}
    81 \newcommand{\isasymbottom}{\emph{$\bot$}}
    81 \newcommand{\isasymInter}{\isamath{\bigcap\,}}
    82 \newcommand{\isasymdoteq}{\emph{$\doteq$}}
    82 \newcommand{\isasymUnion}{\isamath{\bigcup\,}}
    83 \newcommand{\isasymequiv}{\emph{$\equiv$}}
    83 \newcommand{\isasymsqinter}{\isamath{\sqcap}}
    84 \newcommand{\isasymnoteq}{\emph{$\not=$}}
    84 \newcommand{\isasymsqunion}{\isamath{\sqcup}}
    85 \newcommand{\isasymsqsubset}{\emph{$\sqsubset$}}
    85 \newcommand{\isasymSqinter}{\isamath{\bigsqcap\,}}  %requires stmaryrd
    86 \newcommand{\isasymsqsubseteq}{\emph{$\sqsubseteq$}}
    86 \newcommand{\isasymSqunion}{\isamath{\bigsqcup\,}}
    87 \newcommand{\isasymprec}{\emph{$\prec$}}
    87 \newcommand{\isasymbottom}{\isamath{\bot}}
    88 \newcommand{\isasympreceq}{\emph{$\preceq$}}
    88 \newcommand{\isasymdoteq}{\isamath{\doteq}}
    89 \newcommand{\isasymsucc}{\emph{$\succ$}}
    89 \newcommand{\isasymequiv}{\isamath{\equiv}}
    90 \newcommand{\isasymapprox}{\emph{$\approx$}}
    90 \newcommand{\isasymnoteq}{\isamath{\not=}}
    91 \newcommand{\isasymsim}{\emph{$\sim$}}
    91 \newcommand{\isasymsqsubset}{\isamath{\sqsubset}}
    92 \newcommand{\isasymsimeq}{\emph{$\simeq$}}
    92 \newcommand{\isasymsqsubseteq}{\isamath{\sqsubseteq}}
    93 \newcommand{\isasymle}{\emph{$\le$}}
    93 \newcommand{\isasymprec}{\isamath{\prec}}
    94 \newcommand{\isasymColon}{\emph{$\mathrel{::}$}}
    94 \newcommand{\isasympreceq}{\isamath{\preceq}}
    95 \newcommand{\isasymleftarrow}{\emph{$\leftarrow$}}
    95 \newcommand{\isasymsucc}{\isamath{\succ}}
    96 \newcommand{\isasymmidarrow}{\emph{$\relbar$}}
    96 \newcommand{\isasymapprox}{\isamath{\approx}}
    97 \newcommand{\isasymrightarrow}{\emph{$\rightarrow$}}
    97 \newcommand{\isasymsim}{\isamath{\sim}}
    98 \newcommand{\isasymLeftarrow}{\emph{$\Leftarrow$}}
    98 \newcommand{\isasymsimeq}{\isamath{\simeq}}
    99 \newcommand{\isasymMidarrow}{\emph{$\Relbar$}}
    99 \newcommand{\isasymle}{\isamath{\le}}
   100 \newcommand{\isasymRightarrow}{\emph{$\Rightarrow$}}
   100 \newcommand{\isasymColon}{\isamath{\mathrel{::}}}
   101 \newcommand{\isasymfrown}{\emph{$\frown$}}
   101 \newcommand{\isasymleftarrow}{\isamath{\leftarrow}}
   102 \newcommand{\isasymmapsto}{\emph{$\mapsto$}}
   102 \newcommand{\isasymmidarrow}{\isamath{\relbar}}
   103 \newcommand{\isasymleadsto}{\emph{$\leadsto$}}  %requires latexsym
   103 \newcommand{\isasymrightarrow}{\isamath{\rightarrow}}
   104 \newcommand{\isasymup}{\emph{$\uparrow$}}
   104 \newcommand{\isasymLeftarrow}{\isamath{\Leftarrow}}
   105 \newcommand{\isasymdown}{\emph{$\downarrow$}}
   105 \newcommand{\isasymMidarrow}{\isamath{\Relbar}}
   106 \newcommand{\isasymnotin}{\emph{$\notin$}}
   106 \newcommand{\isasymRightarrow}{\isamath{\Rightarrow}}
   107 \newcommand{\isasymtimes}{\emph{$\times$}}
   107 \newcommand{\isasymfrown}{\isamath{\frown}}
   108 \newcommand{\isasymoplus}{\emph{$\oplus$}}
   108 \newcommand{\isasymmapsto}{\isamath{\mapsto}}
   109 \newcommand{\isasymominus}{\emph{$\ominus$}}
   109 \newcommand{\isasymleadsto}{\isamath{\leadsto}}  %requires latexsym
   110 \newcommand{\isasymotimes}{\emph{$\otimes$}}
   110 \newcommand{\isasymup}{\isamath{\uparrow}}
   111 \newcommand{\isasymoslash}{\emph{$\oslash$}}
   111 \newcommand{\isasymdown}{\isamath{\downarrow}}
   112 \newcommand{\isasymsubset}{\emph{$\subset$}}
   112 \newcommand{\isasymnotin}{\isamath{\notin}}
   113 \newcommand{\isasyminfinity}{\emph{$\infty$}}
   113 \newcommand{\isasymtimes}{\isamath{\times}}
   114 \newcommand{\isasymbox}{\emph{$\Box$}}  %requires latexsym
   114 \newcommand{\isasymoplus}{\isamath{\oplus}}
   115 \newcommand{\isasymdiamond}{\emph{$\Diamond$}}  %requires latexsym
   115 \newcommand{\isasymominus}{\isamath{\ominus}}
   116 \newcommand{\isasymcirc}{\emph{$\circ$}}
   116 \newcommand{\isasymotimes}{\isamath{\otimes}}
   117 \newcommand{\isasymbullet}{\emph{$\bullet$}}
   117 \newcommand{\isasymoslash}{\isamath{\oslash}}
   118 \newcommand{\isasymparallel}{\emph{$\parallel$}}
   118 \newcommand{\isasymsubset}{\isamath{\subset}}
   119 \newcommand{\isasymsurd}{\emph{$\surd$}}
   119 \newcommand{\isasyminfinity}{\isamath{\infty}}
   120 \newcommand{\isasymcopyright}{\emph{\copyright}}
   120 \newcommand{\isasymbox}{\isamath{\Box}}  %requires latexsym
   121 \newcommand{\isasymplusminus}{\emph{$\pm$}}
   121 \newcommand{\isasymdiamond}{\isamath{\Diamond}}  %requires latexsym
   122 \newcommand{\isasymdiv}{\emph{$\div$}}
   122 \newcommand{\isasymcirc}{\isamath{\circ}}
   123 \newcommand{\isasymlongrightarrow}{\emph{$\longrightarrow$}}
   123 \newcommand{\isasymbullet}{\isamath{\bullet}}
   124 \newcommand{\isasymlongleftarrow}{\emph{$\longleftarrow$}}
   124 \newcommand{\isasymparallel}{\isamath{\parallel}}
   125 \newcommand{\isasymlongleftrightarrow}{\emph{$\longleftrightarrow$}}
   125 \newcommand{\isasymsurd}{\isamath{\surd}}
   126 \newcommand{\isasymLongrightarrow}{\emph{$\Longrightarrow$}}
   126 \newcommand{\isasymcopyright}{\isatext{\copyright}}
   127 \newcommand{\isasymLongleftarrow}{\emph{$\Longleftarrow$}}
   127 \newcommand{\isasymplusminus}{\isamath{\pm}}
   128 \newcommand{\isasymLongleftrightarrow}{\emph{$\Longleftrightarrow$}}
   128 \newcommand{\isasymdiv}{\isamath{\div}}
   129 \newcommand{\isasymbar}{\emph{$\mid$}}
   129 \newcommand{\isasymlongrightarrow}{\isamath{\longrightarrow}}
   130 \newcommand{\isasymhyphen}{\emph{\rm-}}
   130 \newcommand{\isasymlongleftarrow}{\isamath{\longleftarrow}}
   131 \newcommand{\isasymmacron}{\emph{\rm\=\relax}}
   131 \newcommand{\isasymlongleftrightarrow}{\isamath{\longleftrightarrow}}
   132 \newcommand{\isasymexclamdown}{\emph{\rm\textexclamdown}}
   132 \newcommand{\isasymLongrightarrow}{\isamath{\Longrightarrow}}
   133 \newcommand{\isasymquestiondown}{\emph{\rm\textquestiondown}}
   133 \newcommand{\isasymLongleftarrow}{\isamath{\Longleftarrow}}
   134 \newcommand{\isasymguillemotleft}{\emph{\flqq}}  %requires babel
   134 \newcommand{\isasymLongleftrightarrow}{\isamath{\Longleftrightarrow}}
   135 \newcommand{\isasymguillemotright}{\emph{\frqq}}  %requires babel
   135 \newcommand{\isasymbar}{\isamath{\mid}}
   136 \newcommand{\isasymdegree}{\emph{\rm\textdegree}}  %requires latin1
   136 \newcommand{\isasymhyphen}{\isatext{\rm-}}
   137 \newcommand{\isasymonesuperior}{\emph{$\mathonesuperior$}}  %requires latin1
   137 \newcommand{\isasymmacron}{\isatext{\rm\=\relax}}
   138 \newcommand{\isasymonequarter}{\emph{\rm\textonequarter}}  %requires latin1
   138 \newcommand{\isasymexclamdown}{\isatext{\rm\textexclamdown}}
   139 \newcommand{\isasymtwosuperior}{\emph{$\mathtwosuperior$}}  %requires latin1
   139 \newcommand{\isasymquestiondown}{\isatext{\rm\textquestiondown}}
   140 \newcommand{\isasymonehalf}{\emph{\rm\textonehalf}}  %requires latin1
   140 \newcommand{\isasymguillemotleft}{\isatext{\flqq}}  %requires babel
   141 \newcommand{\isasymthreesuperior}{\emph{$\maththreesuperior$}}  %requires latin1
   141 \newcommand{\isasymguillemotright}{\isatext{\frqq}}  %requires babel
   142 \newcommand{\isasymthreequarters}{\emph{\rm\textthreequarters}}  %requires latin1
   142 \newcommand{\isasymdegree}{\isatext{\rm\textdegree}}  %requires latin1
   143 \newcommand{\isasymparagraph}{\emph{\P}}
   143 \newcommand{\isasymonesuperior}{\isamath{\mathonesuperior}}  %requires latin1
   144 \newcommand{\isasymregistered}{\emph{\rm\textregistered}}
   144 \newcommand{\isasymonequarter}{\isatext{\rm\textonequarter}}  %requires latin1
   145 \newcommand{\isasymordfeminine}{\emph{\rm\textordfeminine}}
   145 \newcommand{\isasymtwosuperior}{\isamath{\mathtwosuperior}}  %requires latin1
   146 \newcommand{\isasymordmasculine}{\emph{\rm\textordmasculine}}
   146 \newcommand{\isasymonehalf}{\isatext{\rm\textonehalf}}  %requires latin1
   147 \newcommand{\isasymsection}{\emph{\S}}
   147 \newcommand{\isasymthreesuperior}{\isamath{\maththreesuperior}}  %requires latin1
   148 \newcommand{\isasympounds}{\emph{$\pounds$}}
   148 \newcommand{\isasymthreequarters}{\isatext{\rm\textthreequarters}}  %requires latin1
   149 \newcommand{\isasymyen}{\emph{\yen}}  %requires amssymb
   149 \newcommand{\isasymparagraph}{\isatext{\P}}
   150 \newcommand{\isasymcent}{\emph{\cent}}  %requires wasysym
   150 \newcommand{\isasymregistered}{\isatext{\rm\textregistered}}
   151 \newcommand{\isasymcurrency}{\emph{\currency}}  %requires wasysym
   151 \newcommand{\isasymordfeminine}{\isatext{\rm\textordfeminine}}
   152 \newcommand{\isasymlbrace}{\emph{$\mathopen{\lbrace\mkern-4.5mu\mid}$}}
   152 \newcommand{\isasymordmasculine}{\isatext{\rm\textordmasculine}}
   153 \newcommand{\isasymrbrace}{\emph{$\mathclose{\mid\mkern-4.5mu\rbrace}$}}
   153 \newcommand{\isasymsection}{\isatext{\S}}
   154 \newcommand{\isasymtop}{\emph{$\top$}}
   154 \newcommand{\isasympounds}{\isamath{\pounds}}
   155 \newcommand{\isasymcong}{\emph{$\cong$}}
   155 \newcommand{\isasymyen}{\isatext{\yen}}  %requires amssymb
   156 \newcommand{\isasymclubsuit}{\emph{$\clubsuit$}}
   156 \newcommand{\isasymcent}{\isatext{\cent}}  %requires wasysym
   157 \newcommand{\isasymdiamondsuit}{\emph{$\diamondsuit$}}
   157 \newcommand{\isasymcurrency}{\isatext{\currency}}  %requires wasysym
   158 \newcommand{\isasymheartsuit}{\emph{$\heartsuit$}}
   158 \newcommand{\isasymlbrace}{\isamath{\mathopen{\lbrace\mkern-4.5mu\mid}}}
   159 \newcommand{\isasymspadesuit}{\emph{$\spadesuit$}}
   159 \newcommand{\isasymrbrace}{\isamath{\mathclose{\mid\mkern-4.5mu\rbrace}}}
   160 \newcommand{\isasymleftrightarrow}{\emph{$\leftrightarrow$}}
   160 \newcommand{\isasymtop}{\isamath{\top}}
   161 \newcommand{\isasymge}{\emph{$\ge$}}
   161 \newcommand{\isasymcong}{\isamath{\cong}}
   162 \newcommand{\isasympropto}{\emph{$\propto$}}
   162 \newcommand{\isasymclubsuit}{\isamath{\clubsuit}}
   163 \newcommand{\isasympartial}{\emph{$\partial$}}
   163 \newcommand{\isasymdiamondsuit}{\isamath{\diamondsuit}}
   164 \newcommand{\isasymdots}{\emph{$\dots$}}
   164 \newcommand{\isasymheartsuit}{\isamath{\heartsuit}}
   165 \newcommand{\isasymaleph}{\emph{$\aleph$}}
   165 \newcommand{\isasymspadesuit}{\isamath{\spadesuit}}
   166 \newcommand{\isasymIm}{\emph{$\Im$}}
   166 \newcommand{\isasymleftrightarrow}{\isamath{\leftrightarrow}}
   167 \newcommand{\isasymRe}{\emph{$\Re$}}
   167 \newcommand{\isasymge}{\isamath{\ge}}
   168 \newcommand{\isasymwp}{\emph{$\wp$}}
   168 \newcommand{\isasympropto}{\isamath{\propto}}
   169 \newcommand{\isasymemptyset}{\emph{$\emptyset$}}
   169 \newcommand{\isasympartial}{\isamath{\partial}}
   170 \newcommand{\isasymangle}{\emph{$\angle$}}
   170 \newcommand{\isasymdots}{\isamath{\dots}}
   171 \newcommand{\isasymnabla}{\emph{$\nabla$}}
   171 \newcommand{\isasymaleph}{\isamath{\aleph}}
   172 \newcommand{\isasymProd}{\emph{$\prod\,$}}
   172 \newcommand{\isasymIm}{\isamath{\Im}}
   173 \newcommand{\isasymLeftrightarrow}{\emph{$\Leftrightarrow$}}
   173 \newcommand{\isasymRe}{\isamath{\Re}}
   174 \newcommand{\isasymUparrow}{\emph{$\Uparrow$}}
   174 \newcommand{\isasymwp}{\isamath{\wp}}
   175 \newcommand{\isasymDownarrow}{\emph{$\Downarrow$}}
   175 \newcommand{\isasymemptyset}{\isamath{\emptyset}}
   176 \newcommand{\isasymlozenge}{\emph{$\lozenge$}}  %requires amssym
   176 \newcommand{\isasymangle}{\isamath{\angle}}
   177 \newcommand{\isasymlangle}{\emph{$\langle$}}
   177 \newcommand{\isasymnabla}{\isamath{\nabla}}
   178 \newcommand{\isasymrangle}{\emph{$\rangle$}}
   178 \newcommand{\isasymProd}{\isamath{\prod\,}}
   179 \newcommand{\isasymSum}{\emph{$\sum\,$}}
   179 \newcommand{\isasymLeftrightarrow}{\isamath{\Leftrightarrow}}
   180 \newcommand{\isasymintegral}{\emph{$\int\,$}}
   180 \newcommand{\isasymUparrow}{\isamath{\Uparrow}}
   181 \newcommand{\isasymdagger}{\emph{$\dagger$}}
   181 \newcommand{\isasymDownarrow}{\isamath{\Downarrow}}
   182 \newcommand{\isasymsharp}{\emph{$\sharp$}}
   182 \newcommand{\isasymlozenge}{\isamath{\lozenge}}  %requires amssym
   183 \newcommand{\isasymstar}{\emph{$\star$}}
   183 \newcommand{\isasymlangle}{\isamath{\langle}}
   184 \newcommand{\isasymtriangleright}{\emph{$\triangleright$}}
   184 \newcommand{\isasymrangle}{\isamath{\rangle}}
   185 \newcommand{\isasymlhd}{\emph{$\lhd$}}
   185 \newcommand{\isasymSum}{\isamath{\sum\,}}
   186 \newcommand{\isasymtriangle}{\emph{$\triangle$}}
   186 \newcommand{\isasymintegral}{\isamath{\int\,}}
   187 \newcommand{\isasymrhd}{\emph{$\rhd$}}
   187 \newcommand{\isasymdagger}{\isamath{\dagger}}
   188 \newcommand{\isasymunlhd}{\emph{$\unlhd$}}
   188 \newcommand{\isasymsharp}{\isamath{\sharp}}
   189 \newcommand{\isasymunrhd}{\emph{$\unrhd$}}
   189 \newcommand{\isasymstar}{\isamath{\star}}
   190 \newcommand{\isasymtriangleleft}{\emph{$\triangleleft$}}
   190 \newcommand{\isasymtriangleright}{\isamath{\triangleright}}
   191 \newcommand{\isasymnatural}{\emph{$\natural$}}
   191 \newcommand{\isasymlhd}{\isamath{\lhd}}
   192 \newcommand{\isasymflat}{\emph{$\flat$}}
   192 \newcommand{\isasymtriangle}{\isamath{\triangle}}
   193 \newcommand{\isasymamalg}{\emph{$\amalg$}}
   193 \newcommand{\isasymrhd}{\isamath{\rhd}}
   194 \newcommand{\isasymmho}{\emph{$\mho$}}  %requires latexsym
   194 \newcommand{\isasymunlhd}{\isamath{\unlhd}}
   195 \newcommand{\isasymupdownarrow}{\emph{$\updownarrow$}}
   195 \newcommand{\isasymunrhd}{\isamath{\unrhd}}
   196 \newcommand{\isasymlongmapsto}{\emph{$\longmapsto$}}
   196 \newcommand{\isasymtriangleleft}{\isamath{\triangleleft}}
   197 \newcommand{\isasymUpdownarrow}{\emph{$\Updownarrow$}}
   197 \newcommand{\isasymnatural}{\isamath{\natural}}
   198 \newcommand{\isasymhookleftarrow}{\emph{$\hookleftarrow$}}
   198 \newcommand{\isasymflat}{\isamath{\flat}}
   199 \newcommand{\isasymhookrightarrow}{\emph{$\hookrightarrow$}}
   199 \newcommand{\isasymamalg}{\isamath{\amalg}}
   200 \newcommand{\isasymrightleftharpoons}{\emph{$\rightleftharpoons$}}
   200 \newcommand{\isasymmho}{\isamath{\mho}}  %requires latexsym
   201 \newcommand{\isasymleftharpoondown}{\emph{$\leftharpoondown$}}
   201 \newcommand{\isasymupdownarrow}{\isamath{\updownarrow}}
   202 \newcommand{\isasymrightharpoondown}{\emph{$\rightharpoondown$}}
   202 \newcommand{\isasymlongmapsto}{\isamath{\longmapsto}}
   203 \newcommand{\isasymleftharpoonup}{\emph{$\leftharpoonup$}}
   203 \newcommand{\isasymUpdownarrow}{\isamath{\Updownarrow}}
   204 \newcommand{\isasymrightharpoonup}{\emph{$\rightharpoonup$}}
   204 \newcommand{\isasymhookleftarrow}{\isamath{\hookleftarrow}}
   205 \newcommand{\isasymasymp}{\emph{$\asymp$}}
   205 \newcommand{\isasymhookrightarrow}{\isamath{\hookrightarrow}}
   206 \newcommand{\isasymminusplus}{\emph{$\mp$}}
   206 \newcommand{\isasymrightleftharpoons}{\isamath{\rightleftharpoons}}
   207 \newcommand{\isasymbowtie}{\emph{$\bowtie$}}
   207 \newcommand{\isasymleftharpoondown}{\isamath{\leftharpoondown}}
   208 \newcommand{\isasymcdots}{\emph{$\cdots$}}
   208 \newcommand{\isasymrightharpoondown}{\isamath{\rightharpoondown}}
   209 \newcommand{\isasymodot}{\emph{$\odot$}}
   209 \newcommand{\isasymleftharpoonup}{\isamath{\leftharpoonup}}
   210 \newcommand{\isasymsupset}{\emph{$\supset$}}
   210 \newcommand{\isasymrightharpoonup}{\isamath{\rightharpoonup}}
   211 \newcommand{\isasymsupseteq}{\emph{$\supseteq$}}
   211 \newcommand{\isasymasymp}{\isamath{\asymp}}
   212 \newcommand{\isasymsqsupset}{\emph{$\sqsupset$}}  %requires latexsym
   212 \newcommand{\isasymminusplus}{\isamath{\mp}}
   213 \newcommand{\isasymsqsupseteq}{\emph{$\sqsupseteq$}}
   213 \newcommand{\isasymbowtie}{\isamath{\bowtie}}
   214 \newcommand{\isasymll}{\emph{$\ll$}}
   214 \newcommand{\isasymcdots}{\isamath{\cdots}}
   215 \newcommand{\isasymgg}{\emph{$\gg$}}
   215 \newcommand{\isasymodot}{\isamath{\odot}}
   216 \newcommand{\isasymuplus}{\emph{$\uplus$}}
   216 \newcommand{\isasymsupset}{\isamath{\supset}}
   217 \newcommand{\isasymsmile}{\emph{$\smile$}}
   217 \newcommand{\isasymsupseteq}{\isamath{\supseteq}}
   218 \newcommand{\isasymsucceq}{\emph{$\succeq$}}
   218 \newcommand{\isasymsqsupset}{\isamath{\sqsupset}}  %requires latexsym
   219 \newcommand{\isasymstileturn}{\emph{$\dashv$}}
   219 \newcommand{\isasymsqsupseteq}{\isamath{\sqsupseteq}}
   220 \newcommand{\isasymOr}{\emph{$\bigvee$}}
   220 \newcommand{\isasymll}{\isamath{\ll}}
   221 \newcommand{\isasymbiguplus}{\emph{$\biguplus$}}
   221 \newcommand{\isasymgg}{\isamath{\gg}}
   222 \newcommand{\isasymddagger}{\emph{$\ddagger$}}
   222 \newcommand{\isasymuplus}{\isamath{\uplus}}
   223 \newcommand{\isasymJoin}{\emph{$\Join$}}  %requires latexsym
   223 \newcommand{\isasymsmile}{\isamath{\smile}}
   224 \newcommand{\isasymbool}{\emph{$\mathrm{I}\mkern-3.8mu\mathrm{B}$}}
   224 \newcommand{\isasymsucceq}{\isamath{\succeq}}
   225 \newcommand{\isasymcomplex}{\emph{$\mathrm{C}\mkern-15mu{\phantom{\mathrm{t}}\vrule}\mkern9mu$}}
   225 \newcommand{\isasymstileturn}{\isamath{\dashv}}
   226 \newcommand{\isasymnat}{\emph{$\mathrm{I}\mkern-3.8mu\mathrm{N}$}}
   226 \newcommand{\isasymOr}{\isamath{\bigvee}}
   227 \newcommand{\isasymrat}{\emph{$\mathrm{Q}\mkern-16mu{\phantom{\mathrm{t}}\vrule}\mkern10mu$}}
   227 \newcommand{\isasymbiguplus}{\isamath{\biguplus}}
   228 \newcommand{\isasymreal}{\emph{$\mathrm{I}\mkern-3.8mu\mathrm{R}$}}
   228 \newcommand{\isasymddagger}{\isamath{\ddagger}}
   229 \newcommand{\isasymint}{\emph{$\mathsf{Z}\mkern-7.5mu\mathsf{Z}$}}
   229 \newcommand{\isasymJoin}{\isamath{\Join}}  %requires latexsym
   230 \newcommand{\isasymlesssim}{\emph{$\lesssim$}}  %requires amssymb
   230 \newcommand{\isasymbool}{\isamath{\mathrm{I}\mkern-3.8mu\mathrm{B}}}
   231 \newcommand{\isasymgreatersim}{\emph{$\gtrsim$}}  %requires amssymb
   231 \newcommand{\isasymcomplex}{\isamath{\mathrm{C}\mkern-15mu{\phantom{\mathrm{t}}\vrule}\mkern9mu}}
   232 \newcommand{\isasymlessapprox}{\emph{$\lessapprox$}}  %requires amssymb
   232 \newcommand{\isasymnat}{\isamath{\mathrm{I}\mkern-3.8mu\mathrm{N}}}
   233 \newcommand{\isasymgreaterapprox}{\emph{$\gtrapprox$}}  %requires amssymb
   233 \newcommand{\isasymrat}{\isamath{\mathrm{Q}\mkern-16mu{\phantom{\mathrm{t}}\vrule}\mkern10mu}}
   234 \newcommand{\isasymtriangleq}{\emph{$\triangleq$}}  %requires amssymb
   234 \newcommand{\isasymreal}{\isamath{\mathrm{I}\mkern-3.8mu\mathrm{R}}}
   235 \newcommand{\isasymlparr}{\emph{$\mathopen{(\mkern-3mu\mid}$}}
   235 \newcommand{\isasymint}{\isamath{\mathsf{Z}\mkern-7.5mu\mathsf{Z}}}
   236 \newcommand{\isasymrparr}{\emph{$\mathclose{\mid\mkern-3mu)}$}}
   236 \newcommand{\isasymlesssim}{\isamath{\lesssim}}  %requires amssymb
       
   237 \newcommand{\isasymgreatersim}{\isamath{\gtrsim}}  %requires amssymb
       
   238 \newcommand{\isasymlessapprox}{\isamath{\lessapprox}}  %requires amssymb
       
   239 \newcommand{\isasymgreaterapprox}{\isamath{\gtrapprox}}  %requires amssymb
       
   240 \newcommand{\isasymtriangleq}{\isamath{\triangleq}}  %requires amssymb
       
   241 \newcommand{\isasymlparr}{\isamath{\mathopen{(\mkern-3mu\mid}}}
       
   242 \newcommand{\isasymrparr}{\isamath{\mathclose{\mid\mkern-3mu)}}}