doc-src/isabellesym.sty
changeset 26913 67040326ab7a
child 40401 25ba6b2559e1
     1.1 --- /dev/null	Thu Jan 01 00:00:00 1970 +0000
     1.2 +++ b/doc-src/isabellesym.sty	Thu May 15 20:14:10 2008 +0200
     1.3 @@ -0,0 +1,360 @@
     1.4 +%%
     1.5 +%% 
     1.6 +%%
     1.7 +%% definitions of standard Isabelle symbols
     1.8 +%%
     1.9 +
    1.10 +\newcommand{\isasymzero}{\isamath{\mathbf{0}}}  %requires amssymb
    1.11 +\newcommand{\isasymone}{\isamath{\mathbf{1}}}  %requires amssymb
    1.12 +\newcommand{\isasymtwo}{\isamath{\mathbf{2}}}  %requires amssymb
    1.13 +\newcommand{\isasymthree}{\isamath{\mathbf{3}}}  %requires amssymb
    1.14 +\newcommand{\isasymfour}{\isamath{\mathbf{4}}}  %requires amssymb
    1.15 +\newcommand{\isasymfive}{\isamath{\mathbf{5}}}  %requires amssymb
    1.16 +\newcommand{\isasymsix}{\isamath{\mathbf{6}}}  %requires amssymb
    1.17 +\newcommand{\isasymseven}{\isamath{\mathbf{7}}}  %requires amssymb
    1.18 +\newcommand{\isasymeight}{\isamath{\mathbf{8}}}  %requires amssymb
    1.19 +\newcommand{\isasymnine}{\isamath{\mathbf{9}}}  %requires amssymb
    1.20 +\newcommand{\isasymA}{\isamath{\mathcal{A}}}
    1.21 +\newcommand{\isasymB}{\isamath{\mathcal{B}}}
    1.22 +\newcommand{\isasymC}{\isamath{\mathcal{C}}}
    1.23 +\newcommand{\isasymD}{\isamath{\mathcal{D}}}
    1.24 +\newcommand{\isasymE}{\isamath{\mathcal{E}}}
    1.25 +\newcommand{\isasymF}{\isamath{\mathcal{F}}}
    1.26 +\newcommand{\isasymG}{\isamath{\mathcal{G}}}
    1.27 +\newcommand{\isasymH}{\isamath{\mathcal{H}}}
    1.28 +\newcommand{\isasymI}{\isamath{\mathcal{I}}}
    1.29 +\newcommand{\isasymJ}{\isamath{\mathcal{J}}}
    1.30 +\newcommand{\isasymK}{\isamath{\mathcal{K}}}
    1.31 +\newcommand{\isasymL}{\isamath{\mathcal{L}}}
    1.32 +\newcommand{\isasymM}{\isamath{\mathcal{M}}}
    1.33 +\newcommand{\isasymN}{\isamath{\mathcal{N}}}
    1.34 +\newcommand{\isasymO}{\isamath{\mathcal{O}}}
    1.35 +\newcommand{\isasymP}{\isamath{\mathcal{P}}}
    1.36 +\newcommand{\isasymQ}{\isamath{\mathcal{Q}}}
    1.37 +\newcommand{\isasymR}{\isamath{\mathcal{R}}}
    1.38 +\newcommand{\isasymS}{\isamath{\mathcal{S}}}
    1.39 +\newcommand{\isasymT}{\isamath{\mathcal{T}}}
    1.40 +\newcommand{\isasymU}{\isamath{\mathcal{U}}}
    1.41 +\newcommand{\isasymV}{\isamath{\mathcal{V}}}
    1.42 +\newcommand{\isasymW}{\isamath{\mathcal{W}}}
    1.43 +\newcommand{\isasymX}{\isamath{\mathcal{X}}}
    1.44 +\newcommand{\isasymY}{\isamath{\mathcal{Y}}}
    1.45 +\newcommand{\isasymZ}{\isamath{\mathcal{Z}}}
    1.46 +\newcommand{\isasyma}{\isamath{\mathrm{a}}}
    1.47 +\newcommand{\isasymb}{\isamath{\mathrm{b}}}
    1.48 +\newcommand{\isasymc}{\isamath{\mathrm{c}}}
    1.49 +\newcommand{\isasymd}{\isamath{\mathrm{d}}}
    1.50 +\newcommand{\isasyme}{\isamath{\mathrm{e}}}
    1.51 +\newcommand{\isasymf}{\isamath{\mathrm{f}}}
    1.52 +\newcommand{\isasymg}{\isamath{\mathrm{g}}}
    1.53 +\newcommand{\isasymh}{\isamath{\mathrm{h}}}
    1.54 +\newcommand{\isasymi}{\isamath{\mathrm{i}}}
    1.55 +\newcommand{\isasymj}{\isamath{\mathrm{j}}}
    1.56 +\newcommand{\isasymk}{\isamath{\mathrm{k}}}
    1.57 +\newcommand{\isasyml}{\isamath{\mathrm{l}}}
    1.58 +\newcommand{\isasymm}{\isamath{\mathrm{m}}}
    1.59 +\newcommand{\isasymn}{\isamath{\mathrm{n}}}
    1.60 +\newcommand{\isasymo}{\isamath{\mathrm{o}}}
    1.61 +\newcommand{\isasymp}{\isamath{\mathrm{p}}}
    1.62 +\newcommand{\isasymq}{\isamath{\mathrm{q}}}
    1.63 +\newcommand{\isasymr}{\isamath{\mathrm{r}}}
    1.64 +\newcommand{\isasyms}{\isamath{\mathrm{s}}}
    1.65 +\newcommand{\isasymt}{\isamath{\mathrm{t}}}
    1.66 +\newcommand{\isasymu}{\isamath{\mathrm{u}}}
    1.67 +\newcommand{\isasymv}{\isamath{\mathrm{v}}}
    1.68 +\newcommand{\isasymw}{\isamath{\mathrm{w}}}
    1.69 +\newcommand{\isasymx}{\isamath{\mathrm{x}}}
    1.70 +\newcommand{\isasymy}{\isamath{\mathrm{y}}}
    1.71 +\newcommand{\isasymz}{\isamath{\mathrm{z}}}
    1.72 +\newcommand{\isasymAA}{\isamath{\mathfrak{A}}}  %requires eufrak
    1.73 +\newcommand{\isasymBB}{\isamath{\mathfrak{B}}}  %requires eufrak
    1.74 +\newcommand{\isasymCC}{\isamath{\mathfrak{C}}}  %requires eufrak
    1.75 +\newcommand{\isasymDD}{\isamath{\mathfrak{D}}}  %requires eufrak
    1.76 +\newcommand{\isasymEE}{\isamath{\mathfrak{E}}}  %requires eufrak
    1.77 +\newcommand{\isasymFF}{\isamath{\mathfrak{F}}}  %requires eufrak
    1.78 +\newcommand{\isasymGG}{\isamath{\mathfrak{G}}}  %requires eufrak
    1.79 +\newcommand{\isasymHH}{\isamath{\mathfrak{H}}}  %requires eufrak
    1.80 +\newcommand{\isasymII}{\isamath{\mathfrak{I}}}  %requires eufrak
    1.81 +\newcommand{\isasymJJ}{\isamath{\mathfrak{J}}}  %requires eufrak
    1.82 +\newcommand{\isasymKK}{\isamath{\mathfrak{K}}}  %requires eufrak
    1.83 +\newcommand{\isasymLL}{\isamath{\mathfrak{L}}}  %requires eufrak
    1.84 +\newcommand{\isasymMM}{\isamath{\mathfrak{M}}}  %requires eufrak
    1.85 +\newcommand{\isasymNN}{\isamath{\mathfrak{N}}}  %requires eufrak
    1.86 +\newcommand{\isasymOO}{\isamath{\mathfrak{O}}}  %requires eufrak
    1.87 +\newcommand{\isasymPP}{\isamath{\mathfrak{P}}}  %requires eufrak
    1.88 +\newcommand{\isasymQQ}{\isamath{\mathfrak{Q}}}  %requires eufrak
    1.89 +\newcommand{\isasymRR}{\isamath{\mathfrak{R}}}  %requires eufrak
    1.90 +\newcommand{\isasymSS}{\isamath{\mathfrak{S}}}  %requires eufrak
    1.91 +\newcommand{\isasymTT}{\isamath{\mathfrak{T}}}  %requires eufrak
    1.92 +\newcommand{\isasymUU}{\isamath{\mathfrak{U}}}  %requires eufrak
    1.93 +\newcommand{\isasymVV}{\isamath{\mathfrak{V}}}  %requires eufrak
    1.94 +\newcommand{\isasymWW}{\isamath{\mathfrak{W}}}  %requires eufrak
    1.95 +\newcommand{\isasymXX}{\isamath{\mathfrak{X}}}  %requires eufrak
    1.96 +\newcommand{\isasymYY}{\isamath{\mathfrak{Y}}}  %requires eufrak
    1.97 +\newcommand{\isasymZZ}{\isamath{\mathfrak{Z}}}  %requires eufrak
    1.98 +\newcommand{\isasymaa}{\isamath{\mathfrak{a}}}  %requires eufrak
    1.99 +\newcommand{\isasymbb}{\isamath{\mathfrak{b}}}  %requires eufrak
   1.100 +\newcommand{\isasymcc}{\isamath{\mathfrak{c}}}  %requires eufrak
   1.101 +\newcommand{\isasymdd}{\isamath{\mathfrak{d}}}  %requires eufrak
   1.102 +\newcommand{\isasymee}{\isamath{\mathfrak{e}}}  %requires eufrak
   1.103 +\newcommand{\isasymff}{\isamath{\mathfrak{f}}}  %requires eufrak
   1.104 +\newcommand{\isasymgg}{\isamath{\mathfrak{g}}}  %requires eufrak
   1.105 +\newcommand{\isasymhh}{\isamath{\mathfrak{h}}}  %requires eufrak
   1.106 +\newcommand{\isasymii}{\isamath{\mathfrak{i}}}  %requires eufrak
   1.107 +\newcommand{\isasymjj}{\isamath{\mathfrak{j}}}  %requires eufrak
   1.108 +\newcommand{\isasymkk}{\isamath{\mathfrak{k}}}  %requires eufrak
   1.109 +\newcommand{\isasymll}{\isamath{\mathfrak{l}}}  %requires eufrak
   1.110 +\newcommand{\isasymmm}{\isamath{\mathfrak{m}}}  %requires eufrak
   1.111 +\newcommand{\isasymnn}{\isamath{\mathfrak{n}}}  %requires eufrak
   1.112 +\newcommand{\isasymoo}{\isamath{\mathfrak{o}}}  %requires eufrak
   1.113 +\newcommand{\isasympp}{\isamath{\mathfrak{p}}}  %requires eufrak
   1.114 +\newcommand{\isasymqq}{\isamath{\mathfrak{q}}}  %requires eufrak
   1.115 +\newcommand{\isasymrr}{\isamath{\mathfrak{r}}}  %requires eufrak
   1.116 +\newcommand{\isasymss}{\isamath{\mathfrak{s}}}  %requires eufrak
   1.117 +\newcommand{\isasymtt}{\isamath{\mathfrak{t}}}  %requires eufrak
   1.118 +\newcommand{\isasymuu}{\isamath{\mathfrak{u}}}  %requires eufrak
   1.119 +\newcommand{\isasymvv}{\isamath{\mathfrak{v}}}  %requires eufrak
   1.120 +\newcommand{\isasymww}{\isamath{\mathfrak{w}}}  %requires eufrak
   1.121 +\newcommand{\isasymxx}{\isamath{\mathfrak{x}}}  %requires eufrak
   1.122 +\newcommand{\isasymyy}{\isamath{\mathfrak{y}}}  %requires eufrak
   1.123 +\newcommand{\isasymzz}{\isamath{\mathfrak{z}}}  %requires eufrak
   1.124 +\newcommand{\isasymalpha}{\isamath{\alpha}}
   1.125 +\newcommand{\isasymbeta}{\isamath{\beta}}
   1.126 +\newcommand{\isasymgamma}{\isamath{\gamma}}
   1.127 +\newcommand{\isasymdelta}{\isamath{\delta}}
   1.128 +\newcommand{\isasymepsilon}{\isamath{\varepsilon}}
   1.129 +\newcommand{\isasymzeta}{\isamath{\zeta}}
   1.130 +\newcommand{\isasymeta}{\isamath{\eta}}
   1.131 +\newcommand{\isasymtheta}{\isamath{\vartheta}}
   1.132 +\newcommand{\isasymiota}{\isamath{\iota}}
   1.133 +\newcommand{\isasymkappa}{\isamath{\kappa}}
   1.134 +\newcommand{\isasymlambda}{\isamath{\lambda}}
   1.135 +\newcommand{\isasymmu}{\isamath{\mu}}
   1.136 +\newcommand{\isasymnu}{\isamath{\nu}}
   1.137 +\newcommand{\isasymxi}{\isamath{\xi}}
   1.138 +\newcommand{\isasympi}{\isamath{\pi}}
   1.139 +\newcommand{\isasymrho}{\isamath{\varrho}}
   1.140 +\newcommand{\isasymsigma}{\isamath{\sigma}}
   1.141 +\newcommand{\isasymtau}{\isamath{\tau}}
   1.142 +\newcommand{\isasymupsilon}{\isamath{\upsilon}}
   1.143 +\newcommand{\isasymphi}{\isamath{\varphi}}
   1.144 +\newcommand{\isasymchi}{\isamath{\chi}}
   1.145 +\newcommand{\isasympsi}{\isamath{\psi}}
   1.146 +\newcommand{\isasymomega}{\isamath{\omega}}
   1.147 +\newcommand{\isasymGamma}{\isamath{\Gamma}}
   1.148 +\newcommand{\isasymDelta}{\isamath{\Delta}}
   1.149 +\newcommand{\isasymTheta}{\isamath{\Theta}}
   1.150 +\newcommand{\isasymLambda}{\isamath{\Lambda}}
   1.151 +\newcommand{\isasymXi}{\isamath{\Xi}}
   1.152 +\newcommand{\isasymPi}{\isamath{\Pi}}
   1.153 +\newcommand{\isasymSigma}{\isamath{\Sigma}}
   1.154 +\newcommand{\isasymUpsilon}{\isamath{\Upsilon}}
   1.155 +\newcommand{\isasymPhi}{\isamath{\Phi}}
   1.156 +\newcommand{\isasymPsi}{\isamath{\Psi}}
   1.157 +\newcommand{\isasymOmega}{\isamath{\Omega}}
   1.158 +\newcommand{\isasymbool}{\isamath{\mathrm{I}\mkern-3.8mu\mathrm{B}}}
   1.159 +\newcommand{\isasymcomplex}{\isamath{\mathrm{C}\mkern-15mu{\phantom{\mathrm{t}}\vrule}\mkern9mu}}
   1.160 +\newcommand{\isasymnat}{\isamath{\mathrm{I}\mkern-3.8mu\mathrm{N}}}
   1.161 +\newcommand{\isasymrat}{\isamath{\mathrm{Q}\mkern-16mu{\phantom{\mathrm{t}}\vrule}\mkern10mu}}
   1.162 +\newcommand{\isasymreal}{\isamath{\mathrm{I}\mkern-3.8mu\mathrm{R}}}
   1.163 +\newcommand{\isasymint}{\isamath{\mathsf{Z}\mkern-7.5mu\mathsf{Z}}}
   1.164 +\newcommand{\isasymleftarrow}{\isamath{\leftarrow}}
   1.165 +\newcommand{\isasymlongleftarrow}{\isamath{\longleftarrow}}
   1.166 +\newcommand{\isasymrightarrow}{\isamath{\rightarrow}}
   1.167 +\newcommand{\isasymlongrightarrow}{\isamath{\longrightarrow}}
   1.168 +\newcommand{\isasymLeftarrow}{\isamath{\Leftarrow}}
   1.169 +\newcommand{\isasymLongleftarrow}{\isamath{\Longleftarrow}}
   1.170 +\newcommand{\isasymRightarrow}{\isamath{\Rightarrow}}
   1.171 +\newcommand{\isasymLongrightarrow}{\isamath{\Longrightarrow}}
   1.172 +\newcommand{\isasymleftrightarrow}{\isamath{\leftrightarrow}}
   1.173 +\newcommand{\isasymlongleftrightarrow}{\isamath{\longleftrightarrow}}
   1.174 +\newcommand{\isasymLeftrightarrow}{\isamath{\Leftrightarrow}}
   1.175 +\newcommand{\isasymLongleftrightarrow}{\isamath{\Longleftrightarrow}}
   1.176 +\newcommand{\isasymmapsto}{\isamath{\mapsto}}
   1.177 +\newcommand{\isasymlongmapsto}{\isamath{\longmapsto}}
   1.178 +\newcommand{\isasymmidarrow}{\isamath{\relbar}}
   1.179 +\newcommand{\isasymMidarrow}{\isamath{\Relbar}}
   1.180 +\newcommand{\isasymhookleftarrow}{\isamath{\hookleftarrow}}
   1.181 +\newcommand{\isasymhookrightarrow}{\isamath{\hookrightarrow}}
   1.182 +\newcommand{\isasymleftharpoondown}{\isamath{\leftharpoondown}}
   1.183 +\newcommand{\isasymrightharpoondown}{\isamath{\rightharpoondown}}
   1.184 +\newcommand{\isasymleftharpoonup}{\isamath{\leftharpoonup}}
   1.185 +\newcommand{\isasymrightharpoonup}{\isamath{\rightharpoonup}}
   1.186 +\newcommand{\isasymrightleftharpoons}{\isamath{\rightleftharpoons}}
   1.187 +\newcommand{\isasymleadsto}{\isamath{\leadsto}}  %requires amssymb
   1.188 +\newcommand{\isasymdownharpoonleft}{\isamath{\downharpoonleft}}  %requires amssymb
   1.189 +\newcommand{\isasymdownharpoonright}{\isamath{\downharpoonright}}  %requires amssymb
   1.190 +\newcommand{\isasymupharpoonleft}{\isamath{\upharpoonleft}}  %requires amssymb
   1.191 +\newcommand{\isasymupharpoonright}{\isamath{\upharpoonright}}  %requires amssymb
   1.192 +\newcommand{\isasymrestriction}{\isamath{\restriction}}  %requires amssymb
   1.193 +\newcommand{\isasymColon}{\isamath{\mathrel{::}}}
   1.194 +\newcommand{\isasymup}{\isamath{\uparrow}}
   1.195 +\newcommand{\isasymUp}{\isamath{\Uparrow}}
   1.196 +\newcommand{\isasymdown}{\isamath{\downarrow}}
   1.197 +\newcommand{\isasymDown}{\isamath{\Downarrow}}
   1.198 +\newcommand{\isasymupdown}{\isamath{\updownarrow}}
   1.199 +\newcommand{\isasymUpdown}{\isamath{\Updownarrow}}
   1.200 +\newcommand{\isasymlangle}{\isamath{\langle}}
   1.201 +\newcommand{\isasymrangle}{\isamath{\rangle}}
   1.202 +\newcommand{\isasymlceil}{\isamath{\lceil}}
   1.203 +\newcommand{\isasymrceil}{\isamath{\rceil}}
   1.204 +\newcommand{\isasymlfloor}{\isamath{\lfloor}}
   1.205 +\newcommand{\isasymrfloor}{\isamath{\rfloor}}
   1.206 +\newcommand{\isasymlparr}{\isamath{\mathopen{(\mkern-3mu\mid}}}
   1.207 +\newcommand{\isasymrparr}{\isamath{\mathclose{\mid\mkern-3mu)}}}
   1.208 +\newcommand{\isasymlbrakk}{\isamath{\mathopen{\lbrack\mkern-3mu\lbrack}}}
   1.209 +\newcommand{\isasymrbrakk}{\isamath{\mathclose{\rbrack\mkern-3mu\rbrack}}}
   1.210 +\newcommand{\isasymlbrace}{\isamath{\mathopen{\lbrace\mkern-4.5mu\mid}}}
   1.211 +\newcommand{\isasymrbrace}{\isamath{\mathclose{\mid\mkern-4.5mu\rbrace}}}
   1.212 +\newcommand{\isasymguillemotleft}{\isatext{\flqq}}  %requires babel
   1.213 +\newcommand{\isasymguillemotright}{\isatext{\frqq}}  %requires babel
   1.214 +\newcommand{\isasymbottom}{\isamath{\bot}}
   1.215 +\newcommand{\isasymtop}{\isamath{\top}}
   1.216 +\newcommand{\isasymand}{\isamath{\wedge}}
   1.217 +\newcommand{\isasymAnd}{\isamath{\bigwedge}}
   1.218 +\newcommand{\isasymor}{\isamath{\vee}}
   1.219 +\newcommand{\isasymOr}{\isamath{\bigvee}}
   1.220 +\newcommand{\isasymforall}{\isamath{\forall\,}}
   1.221 +\newcommand{\isasymexists}{\isamath{\exists\,}}
   1.222 +\newcommand{\isasymnexists}{\isamath{\nexists\,}}  %requires amssymb
   1.223 +\newcommand{\isasymnot}{\isamath{\neg}}
   1.224 +\newcommand{\isasymbox}{\isamath{\Box}}  %requires amssymb
   1.225 +\newcommand{\isasymdiamond}{\isamath{\Diamond}}  %requires amssymb
   1.226 +\newcommand{\isasymturnstile}{\isamath{\vdash}}
   1.227 +\newcommand{\isasymTurnstile}{\isamath{\models}}
   1.228 +\newcommand{\isasymtturnstile}{\isamath{\vdash\!\!\!\vdash}}
   1.229 +\newcommand{\isasymTTurnstile}{\isamath{\mid\!\models}}
   1.230 +\newcommand{\isasymstileturn}{\isamath{\dashv}}
   1.231 +\newcommand{\isasymsurd}{\isamath{\surd}}
   1.232 +\newcommand{\isasymle}{\isamath{\le}}
   1.233 +\newcommand{\isasymge}{\isamath{\ge}}
   1.234 +\newcommand{\isasymlless}{\isamath{\ll}}
   1.235 +\newcommand{\isasymggreater}{\isamath{\gg}}
   1.236 +\newcommand{\isasymlesssim}{\isamath{\lesssim}}  %requires amssymb
   1.237 +\newcommand{\isasymgreatersim}{\isamath{\gtrsim}}  %requires amssymb
   1.238 +\newcommand{\isasymlessapprox}{\isamath{\lessapprox}}  %requires amssymb
   1.239 +\newcommand{\isasymgreaterapprox}{\isamath{\gtrapprox}}  %requires amssymb
   1.240 +\newcommand{\isasymin}{\isamath{\in}}
   1.241 +\newcommand{\isasymnotin}{\isamath{\notin}}
   1.242 +\newcommand{\isasymsubset}{\isamath{\subset}}
   1.243 +\newcommand{\isasymsupset}{\isamath{\supset}}
   1.244 +\newcommand{\isasymsubseteq}{\isamath{\subseteq}}
   1.245 +\newcommand{\isasymsupseteq}{\isamath{\supseteq}}
   1.246 +\newcommand{\isasymsqsubset}{\isamath{\sqsubset}}  %requires amssymb
   1.247 +\newcommand{\isasymsqsupset}{\isamath{\sqsupset}}  %requires amssymb
   1.248 +\newcommand{\isasymsqsubseteq}{\isamath{\sqsubseteq}}
   1.249 +\newcommand{\isasymsqsupseteq}{\isamath{\sqsupseteq}}
   1.250 +\newcommand{\isasyminter}{\isamath{\cap}}
   1.251 +\newcommand{\isasymInter}{\isamath{\bigcap\,}}
   1.252 +\newcommand{\isasymunion}{\isamath{\cup}}
   1.253 +\newcommand{\isasymUnion}{\isamath{\bigcup\,}}
   1.254 +\newcommand{\isasymsqunion}{\isamath{\sqcup}}
   1.255 +\newcommand{\isasymSqunion}{\isamath{\bigsqcup\,}}
   1.256 +\newcommand{\isasymsqinter}{\isamath{\sqcap}}
   1.257 +\newcommand{\isasymSqinter}{\isamath{\bigsqcap\,}}  %requires amsmath
   1.258 +\newcommand{\isasymsetminus}{\isamath{\setminus}}
   1.259 +\newcommand{\isasympropto}{\isamath{\propto}}
   1.260 +\newcommand{\isasymuplus}{\isamath{\uplus}}
   1.261 +\newcommand{\isasymUplus}{\isamath{\biguplus\,}}
   1.262 +\newcommand{\isasymnoteq}{\isamath{\not=}}
   1.263 +\newcommand{\isasymsim}{\isamath{\sim}}
   1.264 +\newcommand{\isasymdoteq}{\isamath{\doteq}}
   1.265 +\newcommand{\isasymsimeq}{\isamath{\simeq}}
   1.266 +\newcommand{\isasymapprox}{\isamath{\approx}}
   1.267 +\newcommand{\isasymasymp}{\isamath{\asymp}}
   1.268 +\newcommand{\isasymcong}{\isamath{\cong}}
   1.269 +\newcommand{\isasymsmile}{\isamath{\smile}}
   1.270 +\newcommand{\isasymequiv}{\isamath{\equiv}}
   1.271 +\newcommand{\isasymfrown}{\isamath{\frown}}
   1.272 +\newcommand{\isasymJoin}{\isamath{\Join}}  %requires amssymb
   1.273 +\newcommand{\isasymbowtie}{\isamath{\bowtie}}
   1.274 +\newcommand{\isasymprec}{\isamath{\prec}}
   1.275 +\newcommand{\isasymsucc}{\isamath{\succ}}
   1.276 +\newcommand{\isasympreceq}{\isamath{\preceq}}
   1.277 +\newcommand{\isasymsucceq}{\isamath{\succeq}}
   1.278 +\newcommand{\isasymparallel}{\isamath{\parallel}}
   1.279 +\newcommand{\isasymbar}{\isamath{\mid}}
   1.280 +\newcommand{\isasymplusminus}{\isamath{\pm}}
   1.281 +\newcommand{\isasymminusplus}{\isamath{\mp}}
   1.282 +\newcommand{\isasymtimes}{\isamath{\times}}
   1.283 +\newcommand{\isasymdiv}{\isamath{\div}}
   1.284 +\newcommand{\isasymcdot}{\isamath{\cdot}}
   1.285 +\newcommand{\isasymstar}{\isamath{\star}}
   1.286 +\newcommand{\isasymbullet}{\boldmath\isamath{\mathchoice{\displaystyle{\cdot}}{\textstyle{\cdot}}{\scriptstyle{\bullet}}{\scriptscriptstyle{\bullet}}}}
   1.287 +\newcommand{\isasymcirc}{\isamath{\circ}}
   1.288 +\newcommand{\isasymdagger}{\isamath{\dagger}}
   1.289 +\newcommand{\isasymddagger}{\isamath{\ddagger}}
   1.290 +\newcommand{\isasymlhd}{\isamath{\lhd}}  %requires amssymb
   1.291 +\newcommand{\isasymrhd}{\isamath{\rhd}}  %requires amssymb
   1.292 +\newcommand{\isasymunlhd}{\isamath{\unlhd}}  %requires amssymb
   1.293 +\newcommand{\isasymunrhd}{\isamath{\unrhd}}  %requires amssymb
   1.294 +\newcommand{\isasymtriangleleft}{\isamath{\triangleleft}}
   1.295 +\newcommand{\isasymtriangleright}{\isamath{\triangleright}}
   1.296 +\newcommand{\isasymtriangle}{\isamath{\triangle}}
   1.297 +\newcommand{\isasymtriangleq}{\isamath{\triangleq}}  %requires amssymb
   1.298 +\newcommand{\isasymoplus}{\isamath{\oplus}}
   1.299 +\newcommand{\isasymOplus}{\isamath{\bigoplus\,}}
   1.300 +\newcommand{\isasymotimes}{\isamath{\otimes}}
   1.301 +\newcommand{\isasymOtimes}{\isamath{\bigotimes\,}}
   1.302 +\newcommand{\isasymodot}{\isamath{\odot}}
   1.303 +\newcommand{\isasymOdot}{\isamath{\bigodot\,}}
   1.304 +\newcommand{\isasymominus}{\isamath{\ominus}}
   1.305 +\newcommand{\isasymoslash}{\isamath{\oslash}}
   1.306 +\newcommand{\isasymdots}{\isamath{\dots}}
   1.307 +\newcommand{\isasymcdots}{\isamath{\cdots}}
   1.308 +\newcommand{\isasymSum}{\isamath{\sum\,}}
   1.309 +\newcommand{\isasymProd}{\isamath{\prod\,}}
   1.310 +\newcommand{\isasymCoprod}{\isamath{\coprod\,}}
   1.311 +\newcommand{\isasyminfinity}{\isamath{\infty}}
   1.312 +\newcommand{\isasymintegral}{\isamath{\int\,}}
   1.313 +\newcommand{\isasymointegral}{\isamath{\oint\,}}
   1.314 +\newcommand{\isasymclubsuit}{\isamath{\clubsuit}}
   1.315 +\newcommand{\isasymdiamondsuit}{\isamath{\diamondsuit}}
   1.316 +\newcommand{\isasymheartsuit}{\isamath{\heartsuit}}
   1.317 +\newcommand{\isasymspadesuit}{\isamath{\spadesuit}}
   1.318 +\newcommand{\isasymaleph}{\isamath{\aleph}}
   1.319 +\newcommand{\isasymemptyset}{\isamath{\emptyset}}
   1.320 +\newcommand{\isasymnabla}{\isamath{\nabla}}
   1.321 +\newcommand{\isasympartial}{\isamath{\partial}}
   1.322 +\newcommand{\isasymRe}{\isamath{\Re}}
   1.323 +\newcommand{\isasymIm}{\isamath{\Im}}
   1.324 +\newcommand{\isasymflat}{\isamath{\flat}}
   1.325 +\newcommand{\isasymnatural}{\isamath{\natural}}
   1.326 +\newcommand{\isasymsharp}{\isamath{\sharp}}
   1.327 +\newcommand{\isasymangle}{\isamath{\angle}}
   1.328 +\newcommand{\isasymcopyright}{\isatext{\rm\copyright}}
   1.329 +\newcommand{\isasymregistered}{\isatext{\rm\textregistered}}
   1.330 +\newcommand{\isasymhyphen}{\isatext{\rm-}}
   1.331 +\newcommand{\isasyminverse}{\isamath{{}^{-1}}}
   1.332 +\newcommand{\isasymonesuperior}{\isamath{\mathonesuperior}}  %requires latin1
   1.333 +\newcommand{\isasymonequarter}{\isatext{\rm\textonequarter}}  %requires latin1
   1.334 +\newcommand{\isasymtwosuperior}{\isamath{\mathtwosuperior}}  %requires latin1
   1.335 +\newcommand{\isasymonehalf}{\isatext{\rm\textonehalf}}  %requires latin1
   1.336 +\newcommand{\isasymthreesuperior}{\isamath{\maththreesuperior}}  %requires latin1
   1.337 +\newcommand{\isasymthreequarters}{\isatext{\rm\textthreequarters}}  %requires latin1
   1.338 +\newcommand{\isasymordfeminine}{\isatext{\rm\textordfeminine}}
   1.339 +\newcommand{\isasymordmasculine}{\isatext{\rm\textordmasculine}}
   1.340 +\newcommand{\isasymsection}{\isatext{\rm\S}}
   1.341 +\newcommand{\isasymparagraph}{\isatext{\rm\P}}
   1.342 +\newcommand{\isasymexclamdown}{\isatext{\rm\textexclamdown}}
   1.343 +\newcommand{\isasymquestiondown}{\isatext{\rm\textquestiondown}}
   1.344 +\newcommand{\isasymeuro}{\isatext{\textgreek{\euro}}}  %requires greek babel
   1.345 +\newcommand{\isasympounds}{\isamath{\pounds}}
   1.346 +\newcommand{\isasymyen}{\isatext{\yen}}  %requires amssymb
   1.347 +\newcommand{\isasymcent}{\isatext{\textcent}}  %requires textcomp
   1.348 +\newcommand{\isasymcurrency}{\isatext{\textcurrency}} %requires textcomp
   1.349 +\newcommand{\isasymdegree}{\isatext{\rm\textdegree}}  %requires latin1
   1.350 +\newcommand{\isasymamalg}{\isamath{\amalg}}
   1.351 +\newcommand{\isasymmho}{\isamath{\mho}}  %requires amssymb
   1.352 +\newcommand{\isasymlozenge}{\isamath{\lozenge}}  %requires amssymb
   1.353 +\newcommand{\isasymwp}{\isamath{\wp}}
   1.354 +\newcommand{\isasymwrong}{\isamath{\wr}}
   1.355 +\newcommand{\isasymstruct}{\isamath{\diamond}}
   1.356 +\newcommand{\isasymacute}{\isatext{\'\relax}}
   1.357 +\newcommand{\isasymindex}{\isatext{\i}}
   1.358 +\newcommand{\isasymdieresis}{\isatext{\"\relax}}
   1.359 +\newcommand{\isasymcedilla}{\isatext{\c\relax}}
   1.360 +\newcommand{\isasymhungarumlaut}{\isatext{\H\relax}}
   1.361 +\newcommand{\isasymspacespace}{\isamath{~~}}
   1.362 +\newcommand{\isasymmodule}{\isamath{\langle}\isakeyword{module}\isamath{\rangle}}
   1.363 +\newcommand{\isasymsome}{\isamath{\epsilon\,}}