1%% 2%% definitions of standard Isabelle symbols 3%% 4 5\newcommand{\isasymzero}{\isamath{\mathbf{0}}} %requires amssymb 6\newcommand{\isasymone}{\isamath{\mathbf{1}}} %requires amssymb 7\newcommand{\isasymtwo}{\isamath{\mathbf{2}}} %requires amssymb 8\newcommand{\isasymthree}{\isamath{\mathbf{3}}} %requires amssymb 9\newcommand{\isasymfour}{\isamath{\mathbf{4}}} %requires amssymb 10\newcommand{\isasymfive}{\isamath{\mathbf{5}}} %requires amssymb 11\newcommand{\isasymsix}{\isamath{\mathbf{6}}} %requires amssymb 12\newcommand{\isasymseven}{\isamath{\mathbf{7}}} %requires amssymb 13\newcommand{\isasymeight}{\isamath{\mathbf{8}}} %requires amssymb 14\newcommand{\isasymnine}{\isamath{\mathbf{9}}} %requires amssymb 15\newcommand{\isasymA}{\isamath{\mathcal{A}}} 16\newcommand{\isasymB}{\isamath{\mathcal{B}}} 17\newcommand{\isasymC}{\isamath{\mathcal{C}}} 18\newcommand{\isasymD}{\isamath{\mathcal{D}}} 19\newcommand{\isasymE}{\isamath{\mathcal{E}}} 20\newcommand{\isasymF}{\isamath{\mathcal{F}}} 21\newcommand{\isasymG}{\isamath{\mathcal{G}}} 22\newcommand{\isasymH}{\isamath{\mathcal{H}}} 23\newcommand{\isasymI}{\isamath{\mathcal{I}}} 24\newcommand{\isasymJ}{\isamath{\mathcal{J}}} 25\newcommand{\isasymK}{\isamath{\mathcal{K}}} 26\newcommand{\isasymL}{\isamath{\mathcal{L}}} 27\newcommand{\isasymM}{\isamath{\mathcal{M}}} 28\newcommand{\isasymN}{\isamath{\mathcal{N}}} 29\newcommand{\isasymO}{\isamath{\mathcal{O}}} 30\newcommand{\isasymP}{\isamath{\mathcal{P}}} 31\newcommand{\isasymQ}{\isamath{\mathcal{Q}}} 32\newcommand{\isasymR}{\isamath{\mathcal{R}}} 33\newcommand{\isasymS}{\isamath{\mathcal{S}}} 34\newcommand{\isasymT}{\isamath{\mathcal{T}}} 35\newcommand{\isasymU}{\isamath{\mathcal{U}}} 36\newcommand{\isasymV}{\isamath{\mathcal{V}}} 37\newcommand{\isasymW}{\isamath{\mathcal{W}}} 38\newcommand{\isasymX}{\isamath{\mathcal{X}}} 39\newcommand{\isasymY}{\isamath{\mathcal{Y}}} 40\newcommand{\isasymZ}{\isamath{\mathcal{Z}}} 41\newcommand{\isasyma}{\isamath{\mathrm{a}}} 42\newcommand{\isasymb}{\isamath{\mathrm{b}}} 43\newcommand{\isasymc}{\isamath{\mathrm{c}}} 44\newcommand{\isasymd}{\isamath{\mathrm{d}}} 45\newcommand{\isasyme}{\isamath{\mathrm{e}}} 46\newcommand{\isasymf}{\isamath{\mathrm{f}}} 47\newcommand{\isasymg}{\isamath{\mathrm{g}}} 48\newcommand{\isasymh}{\isamath{\mathrm{h}}} 49\newcommand{\isasymi}{\isamath{\mathrm{i}}} 50\newcommand{\isasymj}{\isamath{\mathrm{j}}} 51\newcommand{\isasymk}{\isamath{\mathrm{k}}} 52\newcommand{\isasyml}{\isamath{\mathrm{l}}} 53\newcommand{\isasymm}{\isamath{\mathrm{m}}} 54\newcommand{\isasymn}{\isamath{\mathrm{n}}} 55\newcommand{\isasymo}{\isamath{\mathrm{o}}} 56\newcommand{\isasymp}{\isamath{\mathrm{p}}} 57\newcommand{\isasymq}{\isamath{\mathrm{q}}} 58\newcommand{\isasymr}{\isamath{\mathrm{r}}} 59\newcommand{\isasyms}{\isamath{\mathrm{s}}} 60\newcommand{\isasymt}{\isamath{\mathrm{t}}} 61\newcommand{\isasymu}{\isamath{\mathrm{u}}} 62\newcommand{\isasymv}{\isamath{\mathrm{v}}} 63\newcommand{\isasymw}{\isamath{\mathrm{w}}} 64\newcommand{\isasymx}{\isamath{\mathrm{x}}} 65\newcommand{\isasymy}{\isamath{\mathrm{y}}} 66\newcommand{\isasymz}{\isamath{\mathrm{z}}} 67\newcommand{\isasymAA}{\isamath{\mathfrak{A}}} %requires eufrak 68\newcommand{\isasymBB}{\isamath{\mathfrak{B}}} %requires eufrak 69\newcommand{\isasymCC}{\isamath{\mathfrak{C}}} %requires eufrak 70\newcommand{\isasymDD}{\isamath{\mathfrak{D}}} %requires eufrak 71\newcommand{\isasymEE}{\isamath{\mathfrak{E}}} %requires eufrak 72\newcommand{\isasymFF}{\isamath{\mathfrak{F}}} %requires eufrak 73\newcommand{\isasymGG}{\isamath{\mathfrak{G}}} %requires eufrak 74\newcommand{\isasymHH}{\isamath{\mathfrak{H}}} %requires eufrak 75\newcommand{\isasymII}{\isamath{\mathfrak{I}}} %requires eufrak 76\newcommand{\isasymJJ}{\isamath{\mathfrak{J}}} %requires eufrak 77\newcommand{\isasymKK}{\isamath{\mathfrak{K}}} %requires eufrak 78\newcommand{\isasymLL}{\isamath{\mathfrak{L}}} %requires eufrak 79\newcommand{\isasymMM}{\isamath{\mathfrak{M}}} %requires eufrak 80\newcommand{\isasymNN}{\isamath{\mathfrak{N}}} %requires eufrak 81\newcommand{\isasymOO}{\isamath{\mathfrak{O}}} %requires eufrak 82\newcommand{\isasymPP}{\isamath{\mathfrak{P}}} %requires eufrak 83\newcommand{\isasymQQ}{\isamath{\mathfrak{Q}}} %requires eufrak 84\newcommand{\isasymRR}{\isamath{\mathfrak{R}}} %requires eufrak 85\newcommand{\isasymSS}{\isamath{\mathfrak{S}}} %requires eufrak 86\newcommand{\isasymTT}{\isamath{\mathfrak{T}}} %requires eufrak 87\newcommand{\isasymUU}{\isamath{\mathfrak{U}}} %requires eufrak 88\newcommand{\isasymVV}{\isamath{\mathfrak{V}}} %requires eufrak 89\newcommand{\isasymWW}{\isamath{\mathfrak{W}}} %requires eufrak 90\newcommand{\isasymXX}{\isamath{\mathfrak{X}}} %requires eufrak 91\newcommand{\isasymYY}{\isamath{\mathfrak{Y}}} %requires eufrak 92\newcommand{\isasymZZ}{\isamath{\mathfrak{Z}}} %requires eufrak 93\newcommand{\isasymaa}{\isamath{\mathfrak{a}}} %requires eufrak 94\newcommand{\isasymbb}{\isamath{\mathfrak{b}}} %requires eufrak 95\newcommand{\isasymcc}{\isamath{\mathfrak{c}}} %requires eufrak 96\newcommand{\isasymdd}{\isamath{\mathfrak{d}}} %requires eufrak 97\newcommand{\isasymee}{\isamath{\mathfrak{e}}} %requires eufrak 98\newcommand{\isasymff}{\isamath{\mathfrak{f}}} %requires eufrak 99\newcommand{\isasymgg}{\isamath{\mathfrak{g}}} %requires eufrak 100\newcommand{\isasymhh}{\isamath{\mathfrak{h}}} %requires eufrak 101\newcommand{\isasymii}{\isamath{\mathfrak{i}}} %requires eufrak 102\newcommand{\isasymjj}{\isamath{\mathfrak{j}}} %requires eufrak 103\newcommand{\isasymkk}{\isamath{\mathfrak{k}}} %requires eufrak 104\newcommand{\isasymll}{\isamath{\mathfrak{l}}} %requires eufrak 105\newcommand{\isasymmm}{\isamath{\mathfrak{m}}} %requires eufrak 106\newcommand{\isasymnn}{\isamath{\mathfrak{n}}} %requires eufrak 107\newcommand{\isasymoo}{\isamath{\mathfrak{o}}} %requires eufrak 108\newcommand{\isasympp}{\isamath{\mathfrak{p}}} %requires eufrak 109\newcommand{\isasymqq}{\isamath{\mathfrak{q}}} %requires eufrak 110\newcommand{\isasymrr}{\isamath{\mathfrak{r}}} %requires eufrak 111\newcommand{\isasymss}{\isamath{\mathfrak{s}}} %requires eufrak 112\newcommand{\isasymtt}{\isamath{\mathfrak{t}}} %requires eufrak 113\newcommand{\isasymuu}{\isamath{\mathfrak{u}}} %requires eufrak 114\newcommand{\isasymvv}{\isamath{\mathfrak{v}}} %requires eufrak 115\newcommand{\isasymww}{\isamath{\mathfrak{w}}} %requires eufrak 116\newcommand{\isasymxx}{\isamath{\mathfrak{x}}} %requires eufrak 117\newcommand{\isasymyy}{\isamath{\mathfrak{y}}} %requires eufrak 118\newcommand{\isasymzz}{\isamath{\mathfrak{z}}} %requires eufrak 119\newcommand{\isasymalpha}{\isamath{\alpha}} 120\newcommand{\isasymbeta}{\isamath{\beta}} 121\newcommand{\isasymgamma}{\isamath{\gamma}} 122\newcommand{\isasymdelta}{\isamath{\delta}} 123\newcommand{\isasymepsilon}{\isamath{\varepsilon}} 124\newcommand{\isasymzeta}{\isamath{\zeta}} 125\newcommand{\isasymeta}{\isamath{\eta}} 126\newcommand{\isasymtheta}{\isamath{\vartheta}} 127\newcommand{\isasymiota}{\isamath{\iota}} 128\newcommand{\isasymkappa}{\isamath{\kappa}} 129\newcommand{\isasymlambda}{\isamath{\lambda}} 130\newcommand{\isasymmu}{\isamath{\mu}} 131\newcommand{\isasymnu}{\isamath{\nu}} 132\newcommand{\isasymxi}{\isamath{\xi}} 133\newcommand{\isasympi}{\isamath{\pi}} 134\newcommand{\isasymrho}{\isamath{\varrho}} 135\newcommand{\isasymsigma}{\isamath{\sigma}} 136\newcommand{\isasymtau}{\isamath{\tau}} 137\newcommand{\isasymupsilon}{\isamath{\upsilon}} 138\newcommand{\isasymphi}{\isamath{\varphi}} 139\newcommand{\isasymchi}{\isamath{\chi}} 140\newcommand{\isasympsi}{\isamath{\psi}} 141\newcommand{\isasymomega}{\isamath{\omega}} 142\newcommand{\isasymGamma}{\isamath{\Gamma}} 143\newcommand{\isasymDelta}{\isamath{\Delta}} 144\newcommand{\isasymTheta}{\isamath{\Theta}} 145\newcommand{\isasymLambda}{\isamath{\Lambda}} 146\newcommand{\isasymXi}{\isamath{\Xi}} 147\newcommand{\isasymPi}{\isamath{\Pi}} 148\newcommand{\isasymSigma}{\isamath{\Sigma}} 149\newcommand{\isasymUpsilon}{\isamath{\Upsilon}} 150\newcommand{\isasymPhi}{\isamath{\Phi}} 151\newcommand{\isasymPsi}{\isamath{\Psi}} 152\newcommand{\isasymOmega}{\isamath{\Omega}} 153\newcommand{\isasymbool}{\isamath{\mathrm{I}\mkern-3.8mu\mathrm{B}}} 154\newcommand{\isasymcomplex}{\isamath{\mathrm{C}\mkern-15mu{\phantom{\mathrm{t}}\vrule}\mkern9mu}} 155\newcommand{\isasymnat}{\isamath{\mathrm{I}\mkern-3.8mu\mathrm{N}}} 156\newcommand{\isasymrat}{\isamath{\mathrm{Q}\mkern-16mu{\phantom{\mathrm{t}}\vrule}\mkern10mu}} 157\newcommand{\isasymreal}{\isamath{\mathrm{I}\mkern-3.8mu\mathrm{R}}} 158\newcommand{\isasymint}{\isamath{\mathsf{Z}\mkern-7.5mu\mathsf{Z}}} 159\newcommand{\isasymleftarrow}{\isamath{\leftarrow}} 160\newcommand{\isasymrightarrow}{\isamath{\rightarrow}} 161\newcommand{\isasymlongleftarrow}{\isamath{\longleftarrow}} 162\newcommand{\isasymlongrightarrow}{\isamath{\longrightarrow}} 163\newcommand{\isasymlonglongleftarrow}{\isamath{\xleftarrow{\hphantom{AAA}}}} %requires amsmath 164\newcommand{\isasymlonglongrightarrow}{\isamath{\xrightarrow{\hphantom{AAA}}}} %requires amsmath 165\newcommand{\isasymlonglonglongleftarrow}{\isamath{\xleftarrow{\hphantom{AAAA}}}} %requires amsmath 166\newcommand{\isasymlonglonglongrightarrow}{\isamath{\xrightarrow{\hphantom{AAAA}}}} %requires amsmath 167\newcommand{\isasymLeftarrow}{\isamath{\Leftarrow}} 168\newcommand{\isasymRightarrow}{\isamath{\Rightarrow}} 169\newcommand{\isasymLongleftarrow}{\isamath{\Longleftarrow}} 170\newcommand{\isasymLongrightarrow}{\isamath{\Longrightarrow}} 171\newcommand{\isasymLleftarrow}{\isamath{\Lleftarrow}} %requires amssymb 172\newcommand{\isasymRrightarrow}{\isamath{\Rrightarrow}} %requires amssymb 173\newcommand{\isasymleftrightarrow}{\isamath{\leftrightarrow}} 174\newcommand{\isasymLeftrightarrow}{\isamath{\Leftrightarrow}} 175\newcommand{\isasymlongleftrightarrow}{\isamath{\longleftrightarrow}} 176\newcommand{\isasymLongleftrightarrow}{\isamath{\Longleftrightarrow}} 177\newcommand{\isasymmapsto}{\isamath{\mapsto}} 178\newcommand{\isasymlongmapsto}{\isamath{\longmapsto}} 179\newcommand{\isasymmidarrow}{\isamath{\relbar}} 180\newcommand{\isasymMidarrow}{\isamath{\Relbar}} 181\newcommand{\isasymhookleftarrow}{\isamath{\hookleftarrow}} 182\newcommand{\isasymhookrightarrow}{\isamath{\hookrightarrow}} 183\newcommand{\isasymleftharpoondown}{\isamath{\leftharpoondown}} 184\newcommand{\isasymrightharpoondown}{\isamath{\rightharpoondown}} 185\newcommand{\isasymleftharpoonup}{\isamath{\leftharpoonup}} 186\newcommand{\isasymrightharpoonup}{\isamath{\rightharpoonup}} 187\newcommand{\isasymrightleftharpoons}{\isamath{\rightleftharpoons}} 188\newcommand{\isasymleadsto}{\isamath{\leadsto}} %requires amssymb 189\newcommand{\isasymdownharpoonleft}{\isamath{\downharpoonleft}} %requires amssymb 190\newcommand{\isasymdownharpoonright}{\isamath{\downharpoonright}} %requires amssymb 191\newcommand{\isasymupharpoonleft}{\isamath{\upharpoonleft}} %requires amssymb 192\newcommand{\isasymupharpoonright}{\isamath{\upharpoonright}} %requires amssymb 193\newcommand{\isasymrestriction}{\isamath{\restriction}} %requires amssymb 194\newcommand{\isasymColon}{\isamath{\mathrel{::}}} 195\newcommand{\isasymup}{\isamath{\uparrow}} 196\newcommand{\isasymUp}{\isamath{\Uparrow}} 197\newcommand{\isasymdown}{\isamath{\downarrow}} 198\newcommand{\isasymDown}{\isamath{\Downarrow}} 199\newcommand{\isasymupdown}{\isamath{\updownarrow}} 200\newcommand{\isasymUpdown}{\isamath{\Updownarrow}} 201\newcommand{\isasymlangle}{\isamath{\langle}} 202\newcommand{\isasymrangle}{\isamath{\rangle}} 203\newcommand{\isasymllangle}{\isamath{\langle\mskip-5mu\langle}} 204\newcommand{\isasymrrangle}{\isamath{\rangle\mskip-5mu\rangle}} 205\newcommand{\isasymlceil}{\isamath{\lceil}} 206\newcommand{\isasymrceil}{\isamath{\rceil}} 207\newcommand{\isasymlfloor}{\isamath{\lfloor}} 208\newcommand{\isasymrfloor}{\isamath{\rfloor}} 209\newcommand{\isasymlparr}{\isamath{\mathopen{(\mkern-3mu\mid}}} 210\newcommand{\isasymrparr}{\isamath{\mathclose{\mid\mkern-3mu)}}} 211\newcommand{\isasymlbrakk}{\isamath{\mathopen{\lbrack\mkern-3mu\lbrack}}} 212\newcommand{\isasymrbrakk}{\isamath{\mathclose{\rbrack\mkern-3mu\rbrack}}} 213\newcommand{\isasymlbrace}{\isamath{\mathopen{\lbrace\mkern-4.5mu\mid}}} 214\newcommand{\isasymrbrace}{\isamath{\mathclose{\mid\mkern-4.5mu\rbrace}}} 215\newcommand{\isasymguillemotleft}{\isatext{\flqq}} %requires babel 216\newcommand{\isasymguillemotright}{\isatext{\frqq}} %requires babel 217\newcommand{\isasymbottom}{\isamath{\bot}} 218\newcommand{\isasymtop}{\isamath{\top}} 219\newcommand{\isasymand}{\isamath{\wedge}} 220\newcommand{\isasymAnd}{\isamath{\bigwedge}} 221\newcommand{\isasymor}{\isamath{\vee}} 222\newcommand{\isasymOr}{\isamath{\bigvee}} 223\newcommand{\isasymforall}{\isamath{\forall\,}} 224\newcommand{\isasymexists}{\isamath{\exists\,}} 225\newcommand{\isasymnot}{\isamath{\neg}} 226\newcommand{\isasymnexists}{\isamath{\nexists\,}} %requires amssymb 227\newcommand{\isasymcircle}{\isamath{\ocircle}} %requires wasysym 228\newcommand{\isasymbox}{\isamath{\Box}} %requires amssymb 229\newcommand{\isasymdiamond}{\isamath{\Diamond}} %requires amssymb 230\newcommand{\isasymdiamondop}{\isamath{\diamond}} 231\newcommand{\isasymsurd}{\isamath{\surd}} 232\newcommand{\isasymturnstile}{\isamath{\vdash}} 233\newcommand{\isasymTurnstile}{\isamath{\models}} 234\newcommand{\isasymtturnstile}{\isamath{\vdash\!\!\!\vdash}} 235\newcommand{\isasymTTurnstile}{\isamath{\mid\!\models}} 236\newcommand{\isasymstileturn}{\isamath{\dashv}} 237\newcommand{\isasymle}{\isamath{\le}} 238\newcommand{\isasymge}{\isamath{\ge}} 239\newcommand{\isasymlless}{\isamath{\ll}} 240\newcommand{\isasymggreater}{\isamath{\gg}} 241\newcommand{\isasymlesssim}{\isamath{\lesssim}} %requires amssymb 242\newcommand{\isasymgreatersim}{\isamath{\gtrsim}} %requires amssymb 243\newcommand{\isasymlessapprox}{\isamath{\lessapprox}} %requires amssymb 244\newcommand{\isasymgreaterapprox}{\isamath{\gtrapprox}} %requires amssymb 245\newcommand{\isasymin}{\isamath{\in}} 246\newcommand{\isasymnotin}{\isamath{\notin}} 247\newcommand{\isasymsubset}{\isamath{\subset}} 248\newcommand{\isasymsupset}{\isamath{\supset}} 249\newcommand{\isasymsubseteq}{\isamath{\subseteq}} 250\newcommand{\isasymsupseteq}{\isamath{\supseteq}} 251\newcommand{\isasymsqsubset}{\isamath{\sqsubset}} %requires amssymb 252\newcommand{\isasymsqsupset}{\isamath{\sqsupset}} %requires amssymb 253\newcommand{\isasymsqsubseteq}{\isamath{\sqsubseteq}} 254\newcommand{\isasymsqsupseteq}{\isamath{\sqsupseteq}} 255\newcommand{\isasyminter}{\isamath{\cap}} 256\newcommand{\isasymInter}{\isamath{\bigcap\,}} 257\newcommand{\isasymunion}{\isamath{\cup}} 258\newcommand{\isasymUnion}{\isamath{\bigcup\,}} 259\newcommand{\isasymsqunion}{\isamath{\sqcup}} 260\newcommand{\isasymSqunion}{\isamath{\bigsqcup\,}} 261\newcommand{\isasymsqinter}{\isamath{\sqcap}} 262\newcommand{\isasymSqinter}{\isamath{\bigsqcap\,}} %requires stmaryrd 263\newcommand{\isasymsetminus}{\isamath{\setminus}} 264\newcommand{\isasympropto}{\isamath{\propto}} 265\newcommand{\isasymuplus}{\isamath{\uplus}} 266\newcommand{\isasymUplus}{\isamath{\biguplus\,}} 267\newcommand{\isasymnoteq}{\isamath{\not=}} 268\newcommand{\isasymsim}{\isamath{\sim}} 269\newcommand{\isasymdoteq}{\isamath{\doteq}} 270\newcommand{\isasymsimeq}{\isamath{\simeq}} 271\newcommand{\isasymapprox}{\isamath{\approx}} 272\newcommand{\isasymasymp}{\isamath{\asymp}} 273\newcommand{\isasymcong}{\isamath{\cong}} 274\newcommand{\isasymsmile}{\isamath{\smile}} 275\newcommand{\isasymequiv}{\isamath{\equiv}} 276\newcommand{\isasymfrown}{\isamath{\frown}} 277\newcommand{\isasymJoin}{\isamath{\Join}} %requires amssymb 278\newcommand{\isasymbowtie}{\isamath{\bowtie}} 279\newcommand{\isasymprec}{\isamath{\prec}} 280\newcommand{\isasymsucc}{\isamath{\succ}} 281\newcommand{\isasympreceq}{\isamath{\preceq}} 282\newcommand{\isasymsucceq}{\isamath{\succeq}} 283\newcommand{\isasymparallel}{\isamath{\parallel}} 284\newcommand{\isasymbar}{\isamath{\mid}} 285\newcommand{\isasymbbar}{\isamath{[\mskip-1.5mu]}} 286\newcommand{\isasymplusminus}{\isamath{\pm}} 287\newcommand{\isasymminusplus}{\isamath{\mp}} 288\newcommand{\isasymtimes}{\isamath{\times}} 289\newcommand{\isasymdiv}{\isamath{\div}} 290\newcommand{\isasymcdot}{\isamath{\cdot}} 291\newcommand{\isasymsqdot}{\isamath{\sbox\z@{$\centerdot$}\ht\z@=.33333\ht\z@\vcenter{\box\z@}}} %requires amssymb 292\newcommand{\isasymstar}{\isamath{\star}} 293\newcommand{\isasymbullet}{\boldmath\isamath{\mathchoice{\displaystyle{\cdot}}{\textstyle{\cdot}}{\scriptstyle{\bullet}}{\scriptscriptstyle{\bullet}}}} 294\newcommand{\isasymcirc}{\isamath{\circ}} 295\newcommand{\isasymdagger}{\isamath{\dagger}} 296\newcommand{\isasymddagger}{\isamath{\ddagger}} 297\newcommand{\isasymlhd}{\isamath{\lhd}} %requires amssymb 298\newcommand{\isasymrhd}{\isamath{\rhd}} %requires amssymb 299\newcommand{\isasymunlhd}{\isamath{\unlhd}} %requires amssymb 300\newcommand{\isasymunrhd}{\isamath{\unrhd}} %requires amssymb 301\newcommand{\isasymtriangleleft}{\isamath{\triangleleft}} 302\newcommand{\isasymtriangleright}{\isamath{\triangleright}} 303\newcommand{\isasymtriangle}{\isamath{\triangle}} 304\newcommand{\isasymtriangleq}{\isamath{\triangleq}} %requires amssymb 305\newcommand{\isasymoplus}{\isamath{\oplus}} 306\newcommand{\isasymOplus}{\isamath{\bigoplus\,}} 307\newcommand{\isasymotimes}{\isamath{\otimes}} 308\newcommand{\isasymOtimes}{\isamath{\bigotimes\,}} 309\newcommand{\isasymodot}{\isamath{\odot}} 310\newcommand{\isasymOdot}{\isamath{\bigodot\,}} 311\newcommand{\isasymominus}{\isamath{\ominus}} 312\newcommand{\isasymoslash}{\isamath{\oslash}} 313\newcommand{\isasymdots}{\isamath{\dots}} 314\newcommand{\isasymcdots}{\isamath{\cdots}} 315\newcommand{\isasymSum}{\isamath{\sum\,}} 316\newcommand{\isasymProd}{\isamath{\prod\,}} 317\newcommand{\isasymCoprod}{\isamath{\coprod\,}} 318\newcommand{\isasyminfinity}{\isamath{\infty}} 319\newcommand{\isasymintegral}{\isamath{\int\,}} 320\newcommand{\isasymointegral}{\isamath{\oint\,}} 321\newcommand{\isasymclubsuit}{\isamath{\clubsuit}} 322\newcommand{\isasymdiamondsuit}{\isamath{\diamondsuit}} 323\newcommand{\isasymheartsuit}{\isamath{\heartsuit}} 324\newcommand{\isasymspadesuit}{\isamath{\spadesuit}} 325\newcommand{\isasymaleph}{\isamath{\aleph}} 326\newcommand{\isasymemptyset}{\isamath{\emptyset}} 327\newcommand{\isasymnabla}{\isamath{\nabla}} 328\newcommand{\isasympartial}{\isamath{\partial}} 329\newcommand{\isasymRe}{\isamath{\Re}} 330\newcommand{\isasymIm}{\isamath{\Im}} 331\newcommand{\isasymflat}{\isamath{\flat}} 332\newcommand{\isasymnatural}{\isamath{\natural}} 333\newcommand{\isasymsharp}{\isamath{\sharp}} 334\newcommand{\isasymangle}{\isamath{\angle}} 335\newcommand{\isasymcopyright}{\isatext{\normalfont\rmfamily\copyright}} 336\newcommand{\isasymregistered}{\isatext{\normalfont\rmfamily\textregistered}} 337\newcommand{\isasyminverse}{\isamath{{}^{-1}}} 338\newcommand{\isasymonequarter}{\isatext{\normalfont\rmfamily\textonequarter}} %requires textcomp 339\newcommand{\isasymonehalf}{\isatext{\normalfont\rmfamily\textonehalf}} %requires textcomp 340\newcommand{\isasymthreequarters}{\isatext{\normalfont\rmfamily\textthreequarters}} %requires textcomp 341\newcommand{\isasymordfeminine}{\isatext{\normalfont\rmfamily\textordfeminine}} 342\newcommand{\isasymordmasculine}{\isatext{\normalfont\rmfamily\textordmasculine}} 343\newcommand{\isasymsection}{\isatext{\normalfont\rmfamily\S}} 344\newcommand{\isasymparagraph}{\isatext{\normalfont\rmfamily\P}} 345\newcommand{\isasymexclamdown}{\isatext{\normalfont\rmfamily\textexclamdown}} 346\newcommand{\isasymquestiondown}{\isatext{\normalfont\rmfamily\textquestiondown}} 347\newcommand{\isasymeuro}{\isatext{\euro}} %requires eurosym 348\newcommand{\isasympounds}{\isamath{\pounds}} 349\newcommand{\isasymyen}{\isatext{\yen}} %requires amssymb 350\newcommand{\isasymcent}{\isatext{\textcent}} %requires textcomp 351\newcommand{\isasymcurrency}{\isatext{\textcurrency}} %requires textcomp 352\newcommand{\isasymdegree}{\isatext{\normalfont\rmfamily\textdegree}} %requires textcomp 353\newcommand{\isasymhyphen}{\isatext{\normalfont\rmfamily-}} 354\newcommand{\isasymamalg}{\isamath{\amalg}} 355\newcommand{\isasymmho}{\isamath{\mho}} %requires amssymb 356\newcommand{\isasymlozenge}{\isamath{\lozenge}} %requires amssymb 357\newcommand{\isasymwp}{\isamath{\wp}} 358\newcommand{\isasymwrong}{\isamath{\wr}} 359\newcommand{\isasymacute}{\isatext{\'\relax}} 360\newcommand{\isasymindex}{\isatext{\i}} 361\newcommand{\isasymdieresis}{\isatext{\"\relax}} 362\newcommand{\isasymcedilla}{\isatext{\c\relax}} 363\newcommand{\isasymhungarumlaut}{\isatext{\H\relax}} 364\newcommand{\isasymsome}{\isamath{\epsilon\,}} 365\newcommand{\isasymbind}{\isamath{\mathbin{>\!\!\!>\mkern-6.7mu=}}} 366\newcommand{\isasymthen}{\isamath{\mathbin{>\!\!\!>}}} 367\newcommand{\isasymopen}{\isatext{\raise.3ex\hbox{$\scriptscriptstyle\langle$}}} 368\newcommand{\isasymclose}{\isatext{\raise.3ex\hbox{$\scriptscriptstyle\rangle$}}} 369\newcommand{\isasymhole}{\isatext{\normalfont\rmfamily\wasylozenge}} %requires wasysym 370\newcommand{\isasymnewline}{\isatext{\fbox{$\hookleftarrow$}}} 371\newcommand{\isasymcomment}{\isatext{\isastylecmt---}} 372\newcommand{\isasymproof}{\isamath{\,\langle\mathit{proof}\rangle}} 373 374\newcommand{\isactrlmarker}{\isatext{\ding{48}}} %requires pifont 375\newcommand{\isactrlassert}{\isakeywordcontrol{assert}} 376\newcommand{\isactrlcancel}{\isakeywordcontrol{cancel}} 377\newcommand{\isactrlbinding}{\isakeywordcontrol{binding}} 378\newcommand{\isactrlclass}{\isakeywordcontrol{class}} 379\newcommand{\isactrlclassUNDERSCOREsyntax}{\isakeywordcontrol{class{\isacharunderscore}syntax}} 380\newcommand{\isactrlcommandUNDERSCOREkeyword}{\isakeywordcontrol{command{\isacharunderscore}keyword}} 381\newcommand{\isactrlconst}{\isakeywordcontrol{const}} 382\newcommand{\isactrlconstUNDERSCOREabbrev}{\isakeywordcontrol{const{\isacharunderscore}abbrev}} 383\newcommand{\isactrlconstUNDERSCOREname}{\isakeywordcontrol{const{\isacharunderscore}name}} 384\newcommand{\isactrlconstUNDERSCOREsyntax}{\isakeywordcontrol{const{\isacharunderscore}syntax}} 385\newcommand{\isactrlcontext}{\isakeywordcontrol{context}} 386\newcommand{\isactrlcprop}{\isakeywordcontrol{cprop}} 387\newcommand{\isactrlcterm}{\isakeywordcontrol{cterm}} 388\newcommand{\isactrlctyp}{\isakeywordcontrol{ctyp}} 389\newcommand{\isactrldir}{\isakeywordcontrol{dir}} 390\newcommand{\isactrlfile}{\isakeywordcontrol{file}} 391\newcommand{\isactrlhere}{\isakeywordcontrol{here}} 392\newcommand{\isactrlkeyword}{\isakeywordcontrol{keyword}} 393\newcommand{\isactrllatex}{\isakeywordcontrol{latex}} 394\newcommand{\isactrllocale}{\isakeywordcontrol{locale}} 395\newcommand{\isactrlmakeUNDERSCOREstring}{\isakeywordcontrol{make{\isacharunderscore}string}} 396\newcommand{\isactrlmasterUNDERSCOREdir}{\isakeywordcontrol{master{\isacharunderscore}dir}} 397\newcommand{\isactrlmethod}{\isakeywordcontrol{method}} 398\newcommand{\isactrlnamedUNDERSCOREtheorems}{\isakeywordcontrol{named{\isacharunderscore}theorems}} 399\newcommand{\isactrlnonterminal}{\isakeywordcontrol{nonterminal}} 400\newcommand{\isactrlpath}{\isakeywordcontrol{path}} 401\newcommand{\isactrlpathUNDERSCOREbinding}{\isakeywordcontrol{path{\isacharunderscore}binding}} 402\newcommand{\isactrlplugin}{\isakeywordcontrol{plugin}} 403\newcommand{\isactrlprint}{\isakeywordcontrol{print}} 404\newcommand{\isactrlprop}{\isakeywordcontrol{prop}} 405\newcommand{\isactrlsimproc}{\isakeywordcontrol{simproc}} 406\newcommand{\isactrlsort}{\isakeywordcontrol{sort}} 407\newcommand{\isactrlsyntaxUNDERSCOREconst}{\isakeywordcontrol{syntax{\isacharunderscore}const}} 408\newcommand{\isactrlsystemUNDERSCOREoption}{\isakeywordcontrol{system{\isacharunderscore}option}} 409\newcommand{\isactrlterm}{\isakeywordcontrol{term}} 410\newcommand{\isactrltheory}{\isakeywordcontrol{theory}} 411\newcommand{\isactrltheoryUNDERSCOREcontext}{\isakeywordcontrol{theory{\isacharunderscore}context}} 412\newcommand{\isactrltyp}{\isakeywordcontrol{typ}} 413\newcommand{\isactrltypeUNDERSCOREabbrev}{\isakeywordcontrol{type{\isacharunderscore}abbrev}} 414\newcommand{\isactrltypeUNDERSCOREname}{\isakeywordcontrol{type{\isacharunderscore}name}} 415\newcommand{\isactrltypeUNDERSCOREsyntax}{\isakeywordcontrol{type{\isacharunderscore}syntax}} 416\newcommand{\isactrlundefined}{\isakeywordcontrol{undefined}} 417 418\newcommand{\isactrlcode}{\isakeywordcontrol{code}} 419\newcommand{\isactrlcomputation}{\isakeywordcontrol{computation}} 420\newcommand{\isactrlcomputationUNDERSCOREconv}{\isakeywordcontrol{computation{\isacharunderscore}conv}} 421\newcommand{\isactrlcomputationUNDERSCOREcheck}{\isakeywordcontrol{computation{\isacharunderscore}check}} 422