doc-src/IsarAdvanced/Functions/Thy/document/isabellesym.sty
changeset 26911 871cc7f11034
parent 26910 aa6357b39212
child 26912 0265353e4def
equal deleted inserted replaced
26910:aa6357b39212 26911:871cc7f11034
     1 %%
       
     2 %% 
       
     3 %%
       
     4 %% definitions of standard Isabelle symbols
       
     5 %%
       
     6 
       
     7 \newcommand{\isasymzero}{\isamath{\mathbf{0}}}  %requires amssymb
       
     8 \newcommand{\isasymone}{\isamath{\mathbf{1}}}  %requires amssymb
       
     9 \newcommand{\isasymtwo}{\isamath{\mathbf{2}}}  %requires amssymb
       
    10 \newcommand{\isasymthree}{\isamath{\mathbf{3}}}  %requires amssymb
       
    11 \newcommand{\isasymfour}{\isamath{\mathbf{4}}}  %requires amssymb
       
    12 \newcommand{\isasymfive}{\isamath{\mathbf{5}}}  %requires amssymb
       
    13 \newcommand{\isasymsix}{\isamath{\mathbf{6}}}  %requires amssymb
       
    14 \newcommand{\isasymseven}{\isamath{\mathbf{7}}}  %requires amssymb
       
    15 \newcommand{\isasymeight}{\isamath{\mathbf{8}}}  %requires amssymb
       
    16 \newcommand{\isasymnine}{\isamath{\mathbf{9}}}  %requires amssymb
       
    17 \newcommand{\isasymA}{\isamath{\mathcal{A}}}
       
    18 \newcommand{\isasymB}{\isamath{\mathcal{B}}}
       
    19 \newcommand{\isasymC}{\isamath{\mathcal{C}}}
       
    20 \newcommand{\isasymD}{\isamath{\mathcal{D}}}
       
    21 \newcommand{\isasymE}{\isamath{\mathcal{E}}}
       
    22 \newcommand{\isasymF}{\isamath{\mathcal{F}}}
       
    23 \newcommand{\isasymG}{\isamath{\mathcal{G}}}
       
    24 \newcommand{\isasymH}{\isamath{\mathcal{H}}}
       
    25 \newcommand{\isasymI}{\isamath{\mathcal{I}}}
       
    26 \newcommand{\isasymJ}{\isamath{\mathcal{J}}}
       
    27 \newcommand{\isasymK}{\isamath{\mathcal{K}}}
       
    28 \newcommand{\isasymL}{\isamath{\mathcal{L}}}
       
    29 \newcommand{\isasymM}{\isamath{\mathcal{M}}}
       
    30 \newcommand{\isasymN}{\isamath{\mathcal{N}}}
       
    31 \newcommand{\isasymO}{\isamath{\mathcal{O}}}
       
    32 \newcommand{\isasymP}{\isamath{\mathcal{P}}}
       
    33 \newcommand{\isasymQ}{\isamath{\mathcal{Q}}}
       
    34 \newcommand{\isasymR}{\isamath{\mathcal{R}}}
       
    35 \newcommand{\isasymS}{\isamath{\mathcal{S}}}
       
    36 \newcommand{\isasymT}{\isamath{\mathcal{T}}}
       
    37 \newcommand{\isasymU}{\isamath{\mathcal{U}}}
       
    38 \newcommand{\isasymV}{\isamath{\mathcal{V}}}
       
    39 \newcommand{\isasymW}{\isamath{\mathcal{W}}}
       
    40 \newcommand{\isasymX}{\isamath{\mathcal{X}}}
       
    41 \newcommand{\isasymY}{\isamath{\mathcal{Y}}}
       
    42 \newcommand{\isasymZ}{\isamath{\mathcal{Z}}}
       
    43 \newcommand{\isasyma}{\isamath{\mathrm{a}}}
       
    44 \newcommand{\isasymb}{\isamath{\mathrm{b}}}
       
    45 \newcommand{\isasymc}{\isamath{\mathrm{c}}}
       
    46 \newcommand{\isasymd}{\isamath{\mathrm{d}}}
       
    47 \newcommand{\isasyme}{\isamath{\mathrm{e}}}
       
    48 \newcommand{\isasymf}{\isamath{\mathrm{f}}}
       
    49 \newcommand{\isasymg}{\isamath{\mathrm{g}}}
       
    50 \newcommand{\isasymh}{\isamath{\mathrm{h}}}
       
    51 \newcommand{\isasymi}{\isamath{\mathrm{i}}}
       
    52 \newcommand{\isasymj}{\isamath{\mathrm{j}}}
       
    53 \newcommand{\isasymk}{\isamath{\mathrm{k}}}
       
    54 \newcommand{\isasyml}{\isamath{\mathrm{l}}}
       
    55 \newcommand{\isasymm}{\isamath{\mathrm{m}}}
       
    56 \newcommand{\isasymn}{\isamath{\mathrm{n}}}
       
    57 \newcommand{\isasymo}{\isamath{\mathrm{o}}}
       
    58 \newcommand{\isasymp}{\isamath{\mathrm{p}}}
       
    59 \newcommand{\isasymq}{\isamath{\mathrm{q}}}
       
    60 \newcommand{\isasymr}{\isamath{\mathrm{r}}}
       
    61 \newcommand{\isasyms}{\isamath{\mathrm{s}}}
       
    62 \newcommand{\isasymt}{\isamath{\mathrm{t}}}
       
    63 \newcommand{\isasymu}{\isamath{\mathrm{u}}}
       
    64 \newcommand{\isasymv}{\isamath{\mathrm{v}}}
       
    65 \newcommand{\isasymw}{\isamath{\mathrm{w}}}
       
    66 \newcommand{\isasymx}{\isamath{\mathrm{x}}}
       
    67 \newcommand{\isasymy}{\isamath{\mathrm{y}}}
       
    68 \newcommand{\isasymz}{\isamath{\mathrm{z}}}
       
    69 \newcommand{\isasymAA}{\isamath{\mathfrak{A}}}  %requires eufrak
       
    70 \newcommand{\isasymBB}{\isamath{\mathfrak{B}}}  %requires eufrak
       
    71 \newcommand{\isasymCC}{\isamath{\mathfrak{C}}}  %requires eufrak
       
    72 \newcommand{\isasymDD}{\isamath{\mathfrak{D}}}  %requires eufrak
       
    73 \newcommand{\isasymEE}{\isamath{\mathfrak{E}}}  %requires eufrak
       
    74 \newcommand{\isasymFF}{\isamath{\mathfrak{F}}}  %requires eufrak
       
    75 \newcommand{\isasymGG}{\isamath{\mathfrak{G}}}  %requires eufrak
       
    76 \newcommand{\isasymHH}{\isamath{\mathfrak{H}}}  %requires eufrak
       
    77 \newcommand{\isasymII}{\isamath{\mathfrak{I}}}  %requires eufrak
       
    78 \newcommand{\isasymJJ}{\isamath{\mathfrak{J}}}  %requires eufrak
       
    79 \newcommand{\isasymKK}{\isamath{\mathfrak{K}}}  %requires eufrak
       
    80 \newcommand{\isasymLL}{\isamath{\mathfrak{L}}}  %requires eufrak
       
    81 \newcommand{\isasymMM}{\isamath{\mathfrak{M}}}  %requires eufrak
       
    82 \newcommand{\isasymNN}{\isamath{\mathfrak{N}}}  %requires eufrak
       
    83 \newcommand{\isasymOO}{\isamath{\mathfrak{O}}}  %requires eufrak
       
    84 \newcommand{\isasymPP}{\isamath{\mathfrak{P}}}  %requires eufrak
       
    85 \newcommand{\isasymQQ}{\isamath{\mathfrak{Q}}}  %requires eufrak
       
    86 \newcommand{\isasymRR}{\isamath{\mathfrak{R}}}  %requires eufrak
       
    87 \newcommand{\isasymSS}{\isamath{\mathfrak{S}}}  %requires eufrak
       
    88 \newcommand{\isasymTT}{\isamath{\mathfrak{T}}}  %requires eufrak
       
    89 \newcommand{\isasymUU}{\isamath{\mathfrak{U}}}  %requires eufrak
       
    90 \newcommand{\isasymVV}{\isamath{\mathfrak{V}}}  %requires eufrak
       
    91 \newcommand{\isasymWW}{\isamath{\mathfrak{W}}}  %requires eufrak
       
    92 \newcommand{\isasymXX}{\isamath{\mathfrak{X}}}  %requires eufrak
       
    93 \newcommand{\isasymYY}{\isamath{\mathfrak{Y}}}  %requires eufrak
       
    94 \newcommand{\isasymZZ}{\isamath{\mathfrak{Z}}}  %requires eufrak
       
    95 \newcommand{\isasymaa}{\isamath{\mathfrak{a}}}  %requires eufrak
       
    96 \newcommand{\isasymbb}{\isamath{\mathfrak{b}}}  %requires eufrak
       
    97 \newcommand{\isasymcc}{\isamath{\mathfrak{c}}}  %requires eufrak
       
    98 \newcommand{\isasymdd}{\isamath{\mathfrak{d}}}  %requires eufrak
       
    99 \newcommand{\isasymee}{\isamath{\mathfrak{e}}}  %requires eufrak
       
   100 \newcommand{\isasymff}{\isamath{\mathfrak{f}}}  %requires eufrak
       
   101 \newcommand{\isasymgg}{\isamath{\mathfrak{g}}}  %requires eufrak
       
   102 \newcommand{\isasymhh}{\isamath{\mathfrak{h}}}  %requires eufrak
       
   103 \newcommand{\isasymii}{\isamath{\mathfrak{i}}}  %requires eufrak
       
   104 \newcommand{\isasymjj}{\isamath{\mathfrak{j}}}  %requires eufrak
       
   105 \newcommand{\isasymkk}{\isamath{\mathfrak{k}}}  %requires eufrak
       
   106 \newcommand{\isasymll}{\isamath{\mathfrak{l}}}  %requires eufrak
       
   107 \newcommand{\isasymmm}{\isamath{\mathfrak{m}}}  %requires eufrak
       
   108 \newcommand{\isasymnn}{\isamath{\mathfrak{n}}}  %requires eufrak
       
   109 \newcommand{\isasymoo}{\isamath{\mathfrak{o}}}  %requires eufrak
       
   110 \newcommand{\isasympp}{\isamath{\mathfrak{p}}}  %requires eufrak
       
   111 \newcommand{\isasymqq}{\isamath{\mathfrak{q}}}  %requires eufrak
       
   112 \newcommand{\isasymrr}{\isamath{\mathfrak{r}}}  %requires eufrak
       
   113 \newcommand{\isasymss}{\isamath{\mathfrak{s}}}  %requires eufrak
       
   114 \newcommand{\isasymtt}{\isamath{\mathfrak{t}}}  %requires eufrak
       
   115 \newcommand{\isasymuu}{\isamath{\mathfrak{u}}}  %requires eufrak
       
   116 \newcommand{\isasymvv}{\isamath{\mathfrak{v}}}  %requires eufrak
       
   117 \newcommand{\isasymww}{\isamath{\mathfrak{w}}}  %requires eufrak
       
   118 \newcommand{\isasymxx}{\isamath{\mathfrak{x}}}  %requires eufrak
       
   119 \newcommand{\isasymyy}{\isamath{\mathfrak{y}}}  %requires eufrak
       
   120 \newcommand{\isasymzz}{\isamath{\mathfrak{z}}}  %requires eufrak
       
   121 \newcommand{\isasymalpha}{\isamath{\alpha}}
       
   122 \newcommand{\isasymbeta}{\isamath{\beta}}
       
   123 \newcommand{\isasymgamma}{\isamath{\gamma}}
       
   124 \newcommand{\isasymdelta}{\isamath{\delta}}
       
   125 \newcommand{\isasymepsilon}{\isamath{\varepsilon}}
       
   126 \newcommand{\isasymzeta}{\isamath{\zeta}}
       
   127 \newcommand{\isasymeta}{\isamath{\eta}}
       
   128 \newcommand{\isasymtheta}{\isamath{\vartheta}}
       
   129 \newcommand{\isasymiota}{\isamath{\iota}}
       
   130 \newcommand{\isasymkappa}{\isamath{\kappa}}
       
   131 \newcommand{\isasymlambda}{\isamath{\lambda}}
       
   132 \newcommand{\isasymmu}{\isamath{\mu}}
       
   133 \newcommand{\isasymnu}{\isamath{\nu}}
       
   134 \newcommand{\isasymxi}{\isamath{\xi}}
       
   135 \newcommand{\isasympi}{\isamath{\pi}}
       
   136 \newcommand{\isasymrho}{\isamath{\varrho}}
       
   137 \newcommand{\isasymsigma}{\isamath{\sigma}}
       
   138 \newcommand{\isasymtau}{\isamath{\tau}}
       
   139 \newcommand{\isasymupsilon}{\isamath{\upsilon}}
       
   140 \newcommand{\isasymphi}{\isamath{\varphi}}
       
   141 \newcommand{\isasymchi}{\isamath{\chi}}
       
   142 \newcommand{\isasympsi}{\isamath{\psi}}
       
   143 \newcommand{\isasymomega}{\isamath{\omega}}
       
   144 \newcommand{\isasymGamma}{\isamath{\Gamma}}
       
   145 \newcommand{\isasymDelta}{\isamath{\Delta}}
       
   146 \newcommand{\isasymTheta}{\isamath{\Theta}}
       
   147 \newcommand{\isasymLambda}{\isamath{\Lambda}}
       
   148 \newcommand{\isasymXi}{\isamath{\Xi}}
       
   149 \newcommand{\isasymPi}{\isamath{\Pi}}
       
   150 \newcommand{\isasymSigma}{\isamath{\Sigma}}
       
   151 \newcommand{\isasymUpsilon}{\isamath{\Upsilon}}
       
   152 \newcommand{\isasymPhi}{\isamath{\Phi}}
       
   153 \newcommand{\isasymPsi}{\isamath{\Psi}}
       
   154 \newcommand{\isasymOmega}{\isamath{\Omega}}
       
   155 \newcommand{\isasymbool}{\isamath{\mathrm{I}\mkern-3.8mu\mathrm{B}}}
       
   156 \newcommand{\isasymcomplex}{\isamath{\mathrm{C}\mkern-15mu{\phantom{\mathrm{t}}\vrule}\mkern9mu}}
       
   157 \newcommand{\isasymnat}{\isamath{\mathrm{I}\mkern-3.8mu\mathrm{N}}}
       
   158 \newcommand{\isasymrat}{\isamath{\mathrm{Q}\mkern-16mu{\phantom{\mathrm{t}}\vrule}\mkern10mu}}
       
   159 \newcommand{\isasymreal}{\isamath{\mathrm{I}\mkern-3.8mu\mathrm{R}}}
       
   160 \newcommand{\isasymint}{\isamath{\mathsf{Z}\mkern-7.5mu\mathsf{Z}}}
       
   161 \newcommand{\isasymleftarrow}{\isamath{\leftarrow}}
       
   162 \newcommand{\isasymlongleftarrow}{\isamath{\longleftarrow}}
       
   163 \newcommand{\isasymrightarrow}{\isamath{\rightarrow}}
       
   164 \newcommand{\isasymlongrightarrow}{\isamath{\longrightarrow}}
       
   165 \newcommand{\isasymLeftarrow}{\isamath{\Leftarrow}}
       
   166 \newcommand{\isasymLongleftarrow}{\isamath{\Longleftarrow}}
       
   167 \newcommand{\isasymRightarrow}{\isamath{\Rightarrow}}
       
   168 \newcommand{\isasymLongrightarrow}{\isamath{\Longrightarrow}}
       
   169 \newcommand{\isasymleftrightarrow}{\isamath{\leftrightarrow}}
       
   170 \newcommand{\isasymlongleftrightarrow}{\isamath{\longleftrightarrow}}
       
   171 \newcommand{\isasymLeftrightarrow}{\isamath{\Leftrightarrow}}
       
   172 \newcommand{\isasymLongleftrightarrow}{\isamath{\Longleftrightarrow}}
       
   173 \newcommand{\isasymmapsto}{\isamath{\mapsto}}
       
   174 \newcommand{\isasymlongmapsto}{\isamath{\longmapsto}}
       
   175 \newcommand{\isasymmidarrow}{\isamath{\relbar}}
       
   176 \newcommand{\isasymMidarrow}{\isamath{\Relbar}}
       
   177 \newcommand{\isasymhookleftarrow}{\isamath{\hookleftarrow}}
       
   178 \newcommand{\isasymhookrightarrow}{\isamath{\hookrightarrow}}
       
   179 \newcommand{\isasymleftharpoondown}{\isamath{\leftharpoondown}}
       
   180 \newcommand{\isasymrightharpoondown}{\isamath{\rightharpoondown}}
       
   181 \newcommand{\isasymleftharpoonup}{\isamath{\leftharpoonup}}
       
   182 \newcommand{\isasymrightharpoonup}{\isamath{\rightharpoonup}}
       
   183 \newcommand{\isasymrightleftharpoons}{\isamath{\rightleftharpoons}}
       
   184 \newcommand{\isasymleadsto}{\isamath{\leadsto}}  %requires amssymb
       
   185 \newcommand{\isasymdownharpoonleft}{\isamath{\downharpoonleft}}  %requires amssymb
       
   186 \newcommand{\isasymdownharpoonright}{\isamath{\downharpoonright}}  %requires amssymb
       
   187 \newcommand{\isasymupharpoonleft}{\isamath{\upharpoonleft}}  %requires amssymb
       
   188 \newcommand{\isasymupharpoonright}{\isamath{\upharpoonright}}  %requires amssymb
       
   189 \newcommand{\isasymrestriction}{\isamath{\restriction}}  %requires amssymb
       
   190 \newcommand{\isasymColon}{\isamath{\mathrel{::}}}
       
   191 \newcommand{\isasymup}{\isamath{\uparrow}}
       
   192 \newcommand{\isasymUp}{\isamath{\Uparrow}}
       
   193 \newcommand{\isasymdown}{\isamath{\downarrow}}
       
   194 \newcommand{\isasymDown}{\isamath{\Downarrow}}
       
   195 \newcommand{\isasymupdown}{\isamath{\updownarrow}}
       
   196 \newcommand{\isasymUpdown}{\isamath{\Updownarrow}}
       
   197 \newcommand{\isasymlangle}{\isamath{\langle}}
       
   198 \newcommand{\isasymrangle}{\isamath{\rangle}}
       
   199 \newcommand{\isasymlceil}{\isamath{\lceil}}
       
   200 \newcommand{\isasymrceil}{\isamath{\rceil}}
       
   201 \newcommand{\isasymlfloor}{\isamath{\lfloor}}
       
   202 \newcommand{\isasymrfloor}{\isamath{\rfloor}}
       
   203 \newcommand{\isasymlparr}{\isamath{\mathopen{(\mkern-3mu\mid}}}
       
   204 \newcommand{\isasymrparr}{\isamath{\mathclose{\mid\mkern-3mu)}}}
       
   205 \newcommand{\isasymlbrakk}{\isamath{\mathopen{\lbrack\mkern-3mu\lbrack}}}
       
   206 \newcommand{\isasymrbrakk}{\isamath{\mathclose{\rbrack\mkern-3mu\rbrack}}}
       
   207 \newcommand{\isasymlbrace}{\isamath{\mathopen{\lbrace\mkern-4.5mu\mid}}}
       
   208 \newcommand{\isasymrbrace}{\isamath{\mathclose{\mid\mkern-4.5mu\rbrace}}}
       
   209 \newcommand{\isasymguillemotleft}{\isatext{\flqq}}  %requires babel
       
   210 \newcommand{\isasymguillemotright}{\isatext{\frqq}}  %requires babel
       
   211 \newcommand{\isasymbottom}{\isamath{\bot}}
       
   212 \newcommand{\isasymtop}{\isamath{\top}}
       
   213 \newcommand{\isasymand}{\isamath{\wedge}}
       
   214 \newcommand{\isasymAnd}{\isamath{\bigwedge}}
       
   215 \newcommand{\isasymor}{\isamath{\vee}}
       
   216 \newcommand{\isasymOr}{\isamath{\bigvee}}
       
   217 \newcommand{\isasymforall}{\isamath{\forall\,}}
       
   218 \newcommand{\isasymexists}{\isamath{\exists\,}}
       
   219 \newcommand{\isasymnexists}{\isamath{\nexists\,}}  %requires amssymb
       
   220 \newcommand{\isasymnot}{\isamath{\neg}}
       
   221 \newcommand{\isasymbox}{\isamath{\Box}}  %requires amssymb
       
   222 \newcommand{\isasymdiamond}{\isamath{\Diamond}}  %requires amssymb
       
   223 \newcommand{\isasymturnstile}{\isamath{\vdash}}
       
   224 \newcommand{\isasymTurnstile}{\isamath{\models}}
       
   225 \newcommand{\isasymtturnstile}{\isamath{\vdash\!\!\!\vdash}}
       
   226 \newcommand{\isasymTTurnstile}{\isamath{\mid\!\models}}
       
   227 \newcommand{\isasymstileturn}{\isamath{\dashv}}
       
   228 \newcommand{\isasymsurd}{\isamath{\surd}}
       
   229 \newcommand{\isasymle}{\isamath{\le}}
       
   230 \newcommand{\isasymge}{\isamath{\ge}}
       
   231 \newcommand{\isasymlless}{\isamath{\ll}}
       
   232 \newcommand{\isasymggreater}{\isamath{\gg}}
       
   233 \newcommand{\isasymlesssim}{\isamath{\lesssim}}  %requires amssymb
       
   234 \newcommand{\isasymgreatersim}{\isamath{\gtrsim}}  %requires amssymb
       
   235 \newcommand{\isasymlessapprox}{\isamath{\lessapprox}}  %requires amssymb
       
   236 \newcommand{\isasymgreaterapprox}{\isamath{\gtrapprox}}  %requires amssymb
       
   237 \newcommand{\isasymin}{\isamath{\in}}
       
   238 \newcommand{\isasymnotin}{\isamath{\notin}}
       
   239 \newcommand{\isasymsubset}{\isamath{\subset}}
       
   240 \newcommand{\isasymsupset}{\isamath{\supset}}
       
   241 \newcommand{\isasymsubseteq}{\isamath{\subseteq}}
       
   242 \newcommand{\isasymsupseteq}{\isamath{\supseteq}}
       
   243 \newcommand{\isasymsqsubset}{\isamath{\sqsubset}}  %requires amssymb
       
   244 \newcommand{\isasymsqsupset}{\isamath{\sqsupset}}  %requires amssymb
       
   245 \newcommand{\isasymsqsubseteq}{\isamath{\sqsubseteq}}
       
   246 \newcommand{\isasymsqsupseteq}{\isamath{\sqsupseteq}}
       
   247 \newcommand{\isasyminter}{\isamath{\cap}}
       
   248 \newcommand{\isasymInter}{\isamath{\bigcap\,}}
       
   249 \newcommand{\isasymunion}{\isamath{\cup}}
       
   250 \newcommand{\isasymUnion}{\isamath{\bigcup\,}}
       
   251 \newcommand{\isasymsqunion}{\isamath{\sqcup}}
       
   252 \newcommand{\isasymSqunion}{\isamath{\bigsqcup\,}}
       
   253 \newcommand{\isasymsqinter}{\isamath{\sqcap}}
       
   254 \newcommand{\isasymSqinter}{\isamath{\bigsqcap\,}}  %requires amsmath
       
   255 \newcommand{\isasymsetminus}{\isamath{\setminus}}
       
   256 \newcommand{\isasympropto}{\isamath{\propto}}
       
   257 \newcommand{\isasymuplus}{\isamath{\uplus}}
       
   258 \newcommand{\isasymUplus}{\isamath{\biguplus\,}}
       
   259 \newcommand{\isasymnoteq}{\isamath{\not=}}
       
   260 \newcommand{\isasymsim}{\isamath{\sim}}
       
   261 \newcommand{\isasymdoteq}{\isamath{\doteq}}
       
   262 \newcommand{\isasymsimeq}{\isamath{\simeq}}
       
   263 \newcommand{\isasymapprox}{\isamath{\approx}}
       
   264 \newcommand{\isasymasymp}{\isamath{\asymp}}
       
   265 \newcommand{\isasymcong}{\isamath{\cong}}
       
   266 \newcommand{\isasymsmile}{\isamath{\smile}}
       
   267 \newcommand{\isasymequiv}{\isamath{\equiv}}
       
   268 \newcommand{\isasymfrown}{\isamath{\frown}}
       
   269 \newcommand{\isasymJoin}{\isamath{\Join}}  %requires amssymb
       
   270 \newcommand{\isasymbowtie}{\isamath{\bowtie}}
       
   271 \newcommand{\isasymprec}{\isamath{\prec}}
       
   272 \newcommand{\isasymsucc}{\isamath{\succ}}
       
   273 \newcommand{\isasympreceq}{\isamath{\preceq}}
       
   274 \newcommand{\isasymsucceq}{\isamath{\succeq}}
       
   275 \newcommand{\isasymparallel}{\isamath{\parallel}}
       
   276 \newcommand{\isasymbar}{\isamath{\mid}}
       
   277 \newcommand{\isasymplusminus}{\isamath{\pm}}
       
   278 \newcommand{\isasymminusplus}{\isamath{\mp}}
       
   279 \newcommand{\isasymtimes}{\isamath{\times}}
       
   280 \newcommand{\isasymdiv}{\isamath{\div}}
       
   281 \newcommand{\isasymcdot}{\isamath{\cdot}}
       
   282 \newcommand{\isasymstar}{\isamath{\star}}
       
   283 \newcommand{\isasymbullet}{\boldmath\isamath{\mathchoice{\displaystyle{\cdot}}{\textstyle{\cdot}}{\scriptstyle{\bullet}}{\scriptscriptstyle{\bullet}}}}
       
   284 \newcommand{\isasymcirc}{\isamath{\circ}}
       
   285 \newcommand{\isasymdagger}{\isamath{\dagger}}
       
   286 \newcommand{\isasymddagger}{\isamath{\ddagger}}
       
   287 \newcommand{\isasymlhd}{\isamath{\lhd}}  %requires amssymb
       
   288 \newcommand{\isasymrhd}{\isamath{\rhd}}  %requires amssymb
       
   289 \newcommand{\isasymunlhd}{\isamath{\unlhd}}  %requires amssymb
       
   290 \newcommand{\isasymunrhd}{\isamath{\unrhd}}  %requires amssymb
       
   291 \newcommand{\isasymtriangleleft}{\isamath{\triangleleft}}
       
   292 \newcommand{\isasymtriangleright}{\isamath{\triangleright}}
       
   293 \newcommand{\isasymtriangle}{\isamath{\triangle}}
       
   294 \newcommand{\isasymtriangleq}{\isamath{\triangleq}}  %requires amssymb
       
   295 \newcommand{\isasymoplus}{\isamath{\oplus}}
       
   296 \newcommand{\isasymOplus}{\isamath{\bigoplus\,}}
       
   297 \newcommand{\isasymotimes}{\isamath{\otimes}}
       
   298 \newcommand{\isasymOtimes}{\isamath{\bigotimes\,}}
       
   299 \newcommand{\isasymodot}{\isamath{\odot}}
       
   300 \newcommand{\isasymOdot}{\isamath{\bigodot\,}}
       
   301 \newcommand{\isasymominus}{\isamath{\ominus}}
       
   302 \newcommand{\isasymoslash}{\isamath{\oslash}}
       
   303 \newcommand{\isasymdots}{\isamath{\dots}}
       
   304 \newcommand{\isasymcdots}{\isamath{\cdots}}
       
   305 \newcommand{\isasymSum}{\isamath{\sum\,}}
       
   306 \newcommand{\isasymProd}{\isamath{\prod\,}}
       
   307 \newcommand{\isasymCoprod}{\isamath{\coprod\,}}
       
   308 \newcommand{\isasyminfinity}{\isamath{\infty}}
       
   309 \newcommand{\isasymintegral}{\isamath{\int\,}}
       
   310 \newcommand{\isasymointegral}{\isamath{\oint\,}}
       
   311 \newcommand{\isasymclubsuit}{\isamath{\clubsuit}}
       
   312 \newcommand{\isasymdiamondsuit}{\isamath{\diamondsuit}}
       
   313 \newcommand{\isasymheartsuit}{\isamath{\heartsuit}}
       
   314 \newcommand{\isasymspadesuit}{\isamath{\spadesuit}}
       
   315 \newcommand{\isasymaleph}{\isamath{\aleph}}
       
   316 \newcommand{\isasymemptyset}{\isamath{\emptyset}}
       
   317 \newcommand{\isasymnabla}{\isamath{\nabla}}
       
   318 \newcommand{\isasympartial}{\isamath{\partial}}
       
   319 \newcommand{\isasymRe}{\isamath{\Re}}
       
   320 \newcommand{\isasymIm}{\isamath{\Im}}
       
   321 \newcommand{\isasymflat}{\isamath{\flat}}
       
   322 \newcommand{\isasymnatural}{\isamath{\natural}}
       
   323 \newcommand{\isasymsharp}{\isamath{\sharp}}
       
   324 \newcommand{\isasymangle}{\isamath{\angle}}
       
   325 \newcommand{\isasymcopyright}{\isatext{\rm\copyright}}
       
   326 \newcommand{\isasymregistered}{\isatext{\rm\textregistered}}
       
   327 \newcommand{\isasymhyphen}{\isatext{\rm-}}
       
   328 \newcommand{\isasyminverse}{\isamath{{}^{-1}}}
       
   329 \newcommand{\isasymonesuperior}{\isamath{\mathonesuperior}}  %requires latin1
       
   330 \newcommand{\isasymonequarter}{\isatext{\rm\textonequarter}}  %requires latin1
       
   331 \newcommand{\isasymtwosuperior}{\isamath{\mathtwosuperior}}  %requires latin1
       
   332 \newcommand{\isasymonehalf}{\isatext{\rm\textonehalf}}  %requires latin1
       
   333 \newcommand{\isasymthreesuperior}{\isamath{\maththreesuperior}}  %requires latin1
       
   334 \newcommand{\isasymthreequarters}{\isatext{\rm\textthreequarters}}  %requires latin1
       
   335 \newcommand{\isasymordfeminine}{\isatext{\rm\textordfeminine}}
       
   336 \newcommand{\isasymordmasculine}{\isatext{\rm\textordmasculine}}
       
   337 \newcommand{\isasymsection}{\isatext{\rm\S}}
       
   338 \newcommand{\isasymparagraph}{\isatext{\rm\P}}
       
   339 \newcommand{\isasymexclamdown}{\isatext{\rm\textexclamdown}}
       
   340 \newcommand{\isasymquestiondown}{\isatext{\rm\textquestiondown}}
       
   341 \newcommand{\isasymeuro}{\isatext{\textgreek{\euro}}}  %requires greek babel
       
   342 \newcommand{\isasympounds}{\isamath{\pounds}}
       
   343 \newcommand{\isasymyen}{\isatext{\yen}}  %requires amssymb
       
   344 \newcommand{\isasymcent}{\isatext{\textcent}}  %requires textcomp
       
   345 \newcommand{\isasymcurrency}{\isatext{\textcurrency}} %requires textcomp
       
   346 \newcommand{\isasymdegree}{\isatext{\rm\textdegree}}  %requires latin1
       
   347 \newcommand{\isasymamalg}{\isamath{\amalg}}
       
   348 \newcommand{\isasymmho}{\isamath{\mho}}  %requires amssymb
       
   349 \newcommand{\isasymlozenge}{\isamath{\lozenge}}  %requires amssymb
       
   350 \newcommand{\isasymwp}{\isamath{\wp}}
       
   351 \newcommand{\isasymwrong}{\isamath{\wr}}
       
   352 \newcommand{\isasymstruct}{\isamath{\diamond}}
       
   353 \newcommand{\isasymacute}{\isatext{\'\relax}}
       
   354 \newcommand{\isasymindex}{\isatext{\i}}
       
   355 \newcommand{\isasymdieresis}{\isatext{\"\relax}}
       
   356 \newcommand{\isasymcedilla}{\isatext{\c\relax}}
       
   357 \newcommand{\isasymhungarumlaut}{\isatext{\H\relax}}
       
   358 \newcommand{\isasymspacespace}{\isamath{~~}}
       
   359 \newcommand{\isasymmodule}{\isamath{\langle}\isakeyword{module}\isamath{\rangle}}
       
   360 \newcommand{\isasymsome}{\isamath{\epsilon\,}}