4 %% definitions of standard Isabelle symbols
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\,}}