author | wenzelm |
Mon, 07 Jan 2002 23:56:25 +0100 | |
changeset 12658 | 3939e7dea202 |
parent 12652 | 2d136f05e164 |
permissions | -rw-r--r-- |
11414 | 1 |
\begin{theindex} |
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\item \ttall, \bold{207} |
4 |
\item \texttt{?}, \bold{207} |
|
5 |
\item \isasymuniqex, \bold{207} |
|
6 |
\item \ttuniquex, \bold{207} |
|
7 |
\item {\texttt {\&}}, \bold{207} |
|
8 |
\item \verb$~$, \bold{207} |
|
9 |
\item \verb$~=$, \bold{207} |
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10 |
\item \ttor, \bold{207} |
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\item \texttt{[]}, \bold{9} |
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\item \texttt{\#}, \bold{9} |
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\item \texttt{\at}, \bold{10}, 207 |
14 |
\item \isasymnotin, \bold{207} |
|
15 |
\item \verb$~:$, \bold{207} |
|
16 |
\item \isasymInter, \bold{207} |
|
17 |
\item \isasymUnion, \bold{207} |
|
18 |
\item \isasyminverse, \bold{207} |
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19 |
\item \verb$^-1$, \bold{207} |
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20 |
\item \isactrlsup{\isacharasterisk}, \bold{207} |
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21 |
\item \verb$^$\texttt{*}, \bold{207} |
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22 |
\item \isasymAnd, \bold{12}, \bold{207} |
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23 |
\item \ttAnd, \bold{207} |
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\item \emph {$\Rightarrow $}, \bold{5} |
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\item \ttlbr, \bold{207} |
26 |
\item \ttrbr, \bold{207} |
|
27 |
\item \texttt {\%}, \bold{207} |
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\item \texttt {;}, \bold{7} |
12644 | 29 |
\item \isa {()} (constant), 24 |
30 |
\item \isa {+} (tactical), 97 |
|
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\item \isa {<*lex*>}, \see{lexicographic product}{1} |
12644 | 32 |
\item \isa {?} (tactical), 97 |
33 |
\item \texttt{|} (tactical), 97 |
|
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35 |
\indexspace |
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36 |
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\item \isa {0} (constant), 22, 23, 148 |
38 |
\item \isa {1} (constant), 23, 148, 149 |
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40 |
\indexspace |
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\item abandoning a proof, \bold{13} |
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43 |
\item abandoning a theory, \bold{16} |
12644 | 44 |
\item \isa {abs} (constant), 151 |
45 |
\item \texttt {abs}, \bold{207} |
|
46 |
\item absolute value, 151 |
|
47 |
\item \isa {add} (modifier), 29 |
|
48 |
\item \isa {add_ac} (theorems), 150 |
|
49 |
\item \isa {add_assoc} (theorem), \bold{150} |
|
50 |
\item \isa {add_commute} (theorem), \bold{150} |
|
51 |
\item \isa {add_mult_distrib} (theorem), \bold{149} |
|
52 |
\item \texttt {ALL}, \bold{207} |
|
53 |
\item \isa {All} (constant), 107 |
|
54 |
\item \isa {allE} (theorem), \bold{79} |
|
55 |
\item \isa {allI} (theorem), \bold{78} |
|
56 |
\item append function, 10--14 |
|
57 |
\item \isacommand {apply} (command), 15 |
|
58 |
\item \isa {arg_cong} (theorem), \bold{94} |
|
59 |
\item \isa {arith} (method), 23, 147 |
|
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\item arithmetic operations |
12644 | 61 |
\subitem for \protect\isa{nat}, 23 |
62 |
\item \textsc {ascii} symbols, \bold{207} |
|
63 |
\item Aspinall, David, viii |
|
64 |
\item associative-commutative function, 174 |
|
65 |
\item \isa {assumption} (method), 67 |
|
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\item assumptions |
12644 | 67 |
\subitem of subgoal, 12 |
68 |
\subitem renaming, 80--81 |
|
69 |
\subitem reusing, 81 |
|
70 |
\item \isa {auto} (method), 38, 90 |
|
71 |
\item \isa {axclass}, 162--168 |
|
72 |
\item axiom of choice, 84 |
|
73 |
\item axiomatic type classes, 162--168 |
|
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|
75 |
\indexspace |
|
76 |
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12644 | 77 |
\item \isacommand {back} (command), 76 |
78 |
\item \isa {Ball} (constant), 107 |
|
79 |
\item \isa {ballI} (theorem), \bold{106} |
|
80 |
\item \isa {best} (method), 90 |
|
81 |
\item \isa {Bex} (constant), 107 |
|
82 |
\item \isa {bexE} (theorem), \bold{106} |
|
83 |
\item \isa {bexI} (theorem), \bold{106} |
|
84 |
\item \isa {bij_def} (theorem), \bold{108} |
|
85 |
\item bijections, 108 |
|
86 |
\item binary trees, 18 |
|
87 |
\item binomial coefficients, 107 |
|
88 |
\item bisimulations, 114 |
|
89 |
\item \isa {blast} (method), 87--88, 90 |
|
90 |
\item \isa {bool} (type), 4, 5 |
|
91 |
\item boolean expressions example, 20--22 |
|
92 |
\item \isa {bspec} (theorem), \bold{106} |
|
93 |
\item \isacommand{by} (command), 71 |
|
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|
95 |
\indexspace |
|
96 |
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12644 | 97 |
\item \isa {card} (constant), 107 |
98 |
\item \isa {card_Pow} (theorem), \bold{107} |
|
99 |
\item \isa {card_Un_Int} (theorem), \bold{107} |
|
100 |
\item cardinality, 107 |
|
101 |
\item \isa {case} (symbol), 32, 33 |
|
102 |
\item \isa {case} expressions, 5, 6, 18 |
|
103 |
\item case distinctions, 19 |
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\item case splits, \bold{31} |
12644 | 105 |
\item \isa {case_tac} (method), 19, 99, 155 |
106 |
\item \isa {cases} (method), 160 |
|
12652 | 107 |
\item \isacommand {chapter} (command), 60 |
12644 | 108 |
\item \isa {clarify} (method), 89, 90 |
109 |
\item \isa {clarsimp} (method), 89, 90 |
|
110 |
\item \isa {classical} (theorem), \bold{71} |
|
111 |
\item coinduction, \bold{114} |
|
112 |
\item \isa {Collect} (constant), 107 |
|
113 |
\item compiling expressions example, 36--38 |
|
114 |
\item \isa {Compl_iff} (theorem), \bold{104} |
|
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\item complement |
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\subitem of a set, 103 |
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\item composition |
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\subitem of functions, \bold{108} |
119 |
\subitem of relations, \bold{110} |
|
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\item conclusion |
12644 | 121 |
\subitem of subgoal, 12 |
11450 | 122 |
\item conditional expressions, \see{\isa{if} expressions}{1} |
12644 | 123 |
\item conditional simplification rules, 31 |
124 |
\item \isa {cong} (attribute), 174 |
|
125 |
\item congruence rules, \bold{173} |
|
126 |
\item \isa {conjE} (theorem), \bold{69} |
|
127 |
\item \isa {conjI} (theorem), \bold{66} |
|
128 |
\item \isa {Cons} (constant), 9 |
|
129 |
\item \isacommand {constdefs} (command), 25 |
|
130 |
\item \isacommand {consts} (command), 10 |
|
131 |
\item contrapositives, 71 |
|
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\item converse |
12644 | 133 |
\subitem of a relation, \bold{110} |
134 |
\item \isa {converse_iff} (theorem), \bold{110} |
|
135 |
\item CTL, 119--124, 189--191 |
|
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|
137 |
\indexspace |
|
138 |
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12644 | 139 |
\item \isacommand {datatype} (command), 9, 38--43 |
140 |
\item datatypes, 17--22 |
|
141 |
\subitem and nested recursion, 40, 44 |
|
142 |
\subitem mutually recursive, 38 |
|
143 |
\subitem nested, 178 |
|
144 |
\item \isacommand {defer} (command), 16, 98 |
|
145 |
\item Definitional Approach, 26 |
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\item definitions, \bold{25} |
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147 |
\subitem unfolding, \bold{30} |
12644 | 148 |
\item \isacommand {defs} (command), 25 |
149 |
\item \isa {del} (modifier), 29 |
|
150 |
\item description operators, 83--85 |
|
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\item descriptions |
12644 | 152 |
\subitem definite, 83 |
153 |
\subitem indefinite, 84 |
|
154 |
\item \isa {dest} (attribute), 100 |
|
155 |
\item destruction rules, 69 |
|
156 |
\item \isa {diff_mult_distrib} (theorem), \bold{149} |
|
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\item difference |
12644 | 158 |
\subitem of sets, \bold{104} |
159 |
\item \isa {disjCI} (theorem), \bold{72} |
|
160 |
\item \isa {disjE} (theorem), \bold{68} |
|
161 |
\item \isa {div} (symbol), 23 |
|
162 |
\item divides relation, 82, 93, 99--102, 150 |
|
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\item division |
12644 | 164 |
\subitem by negative numbers, 151 |
165 |
\subitem by zero, 150 |
|
166 |
\subitem for type \protect\isa{nat}, 149 |
|
167 |
\item documents, \bold{57} |
|
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\item domain |
12644 | 169 |
\subitem of a relation, 110 |
170 |
\item \isa {Domain_iff} (theorem), \bold{110} |
|
171 |
\item \isacommand {done} (command), 13 |
|
172 |
\item \isa {drule_tac} (method), 74, 94 |
|
173 |
\item \isa {dvd_add} (theorem), \bold{150} |
|
174 |
\item \isa {dvd_anti_sym} (theorem), \bold{150} |
|
175 |
\item \isa {dvd_def} (theorem), \bold{150} |
|
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|
177 |
\indexspace |
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178 |
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12644 | 179 |
\item \isa {elim!} (attribute), 129 |
180 |
\item elimination rules, 67--68 |
|
181 |
\item \isacommand {end} (command), 14 |
|
182 |
\item \isa {Eps} (constant), 107 |
|
183 |
\item equality, 5 |
|
184 |
\subitem of functions, \bold{107} |
|
185 |
\subitem of records, 159 |
|
186 |
\subitem of sets, \bold{104} |
|
187 |
\item \isa {equalityE} (theorem), \bold{104} |
|
188 |
\item \isa {equalityI} (theorem), \bold{104} |
|
189 |
\item \isa {erule} (method), 68 |
|
190 |
\item \isa {erule_tac} (method), 74 |
|
191 |
\item Euclid's algorithm, 99--102 |
|
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\item even numbers |
12644 | 193 |
\subitem defining inductively, 125--129 |
194 |
\item \texttt {EX}, \bold{207} |
|
195 |
\item \isa {Ex} (constant), 107 |
|
196 |
\item \isa {exE} (theorem), \bold{80} |
|
197 |
\item \isa {exI} (theorem), \bold{80} |
|
198 |
\item \isa {ext} (theorem), \bold{107} |
|
199 |
\item \isa {extend} (constant), 161 |
|
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\item extensionality |
12644 | 201 |
\subitem for functions, \bold{107, 108} |
12658 | 202 |
\subitem for records, 160 |
12644 | 203 |
\subitem for sets, \bold{104} |
204 |
\item \ttEXU, \bold{207} |
|
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|
206 |
\indexspace |
|
207 |
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12644 | 208 |
\item \isa {False} (constant), 5 |
209 |
\item \isa {fast} (method), 90, 122 |
|
210 |
\item Fibonacci function, 47 |
|
211 |
\item \isa {fields} (constant), 161 |
|
212 |
\item \isa {finite} (symbol), 107 |
|
213 |
\item \isa {Finites} (constant), 107 |
|
214 |
\item fixed points, 114 |
|
215 |
\item flags, 5, 6, 33 |
|
216 |
\subitem setting and resetting, 5 |
|
217 |
\item \isa {force} (method), 89, 90 |
|
218 |
\item formal proof documents, \bold{57} |
|
219 |
\item formulae, 5--6 |
|
220 |
\item forward proof, 90--96 |
|
221 |
\item \isa {frule} (method), 81 |
|
222 |
\item \isa {frule_tac} (method), 74 |
|
223 |
\item \isa {fst} (constant), 24 |
|
224 |
\item function types, 5 |
|
225 |
\item functions, 107--109 |
|
226 |
\subitem partial, 180 |
|
227 |
\subitem total, 11, 46--52 |
|
228 |
\subitem underdefined, 181 |
|
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|
230 |
\indexspace |
|
231 |
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12644 | 232 |
\item \isa {gcd} (constant), 91--92, 99--102 |
233 |
\item generalizing for induction, 127 |
|
234 |
\item generalizing induction formulae, 35 |
|
235 |
\item Girard, Jean-Yves, \fnote{69} |
|
236 |
\item Gordon, Mike, 3 |
|
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\item grammars |
12644 | 238 |
\subitem defining inductively, 138--143 |
239 |
\item ground terms example, 133--138 |
|
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|
241 |
\indexspace |
|
242 |
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12644 | 243 |
\item \isa {hd} (constant), 17, 37 |
12652 | 244 |
\item \isacommand {header} (command), 60 |
12644 | 245 |
\item Hilbert's $\varepsilon$-operator, 84 |
246 |
\item HOLCF, 43 |
|
247 |
\item Hopcroft, J. E., 143 |
|
248 |
\item \isa {hypreal} (type), 153 |
|
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|
250 |
\indexspace |
|
251 |
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\item \isa {Id_def} (theorem), \bold{110} |
253 |
\item \isa {id_def} (theorem), \bold{108} |
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\item identifiers, \bold{6} |
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\subitem qualified, \bold{4} |
12644 | 256 |
\item identity function, \bold{108} |
257 |
\item identity relation, \bold{110} |
|
258 |
\item \isa {if} expressions, 5, 6 |
|
259 |
\subitem simplification of, 33 |
|
260 |
\subitem splitting of, 31, 49 |
|
261 |
\item if-and-only-if, 6 |
|
262 |
\item \isa {iff} (attribute), 88, 100, 128 |
|
263 |
\item \isa {iffD1} (theorem), \bold{92} |
|
264 |
\item \isa {iffD2} (theorem), \bold{92} |
|
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\item ignored material, \bold{62} |
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\item image |
12644 | 267 |
\subitem under a function, \bold{109} |
268 |
\subitem under a relation, \bold{110} |
|
269 |
\item \isa {image_def} (theorem), \bold{109} |
|
270 |
\item \isa {Image_iff} (theorem), \bold{110} |
|
271 |
\item \isa {impI} (theorem), \bold{70} |
|
272 |
\item implication, 70--71 |
|
273 |
\item \isa {ind_cases} (method), 129 |
|
274 |
\item \isa {induct_tac} (method), 12, 19, 52, 188 |
|
275 |
\item induction, 184--191 |
|
276 |
\subitem complete, 186 |
|
277 |
\subitem deriving new schemas, 188 |
|
278 |
\subitem on a term, 185 |
|
279 |
\subitem recursion, 51--52 |
|
280 |
\subitem structural, 19 |
|
281 |
\subitem well-founded, 113 |
|
282 |
\item induction heuristics, 34--36 |
|
283 |
\item \isacommand {inductive} (command), 125 |
|
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\item inductive definition |
12644 | 285 |
\subitem simultaneous, 139 |
286 |
\item inductive definitions, 125--143 |
|
287 |
\item \isacommand {inductive\_cases} (command), 129, 137 |
|
288 |
\item infinitely branching trees, 43 |
|
289 |
\item infix annotations, 54 |
|
290 |
\item \isacommand{infixr} (annotation), 10 |
|
291 |
\item \isa {inj_on_def} (theorem), \bold{108} |
|
292 |
\item injections, 108 |
|
293 |
\item \isa {insert} (constant), 105 |
|
294 |
\item \isa {insert} (method), 95--96 |
|
295 |
\item instance, \bold{164} |
|
296 |
\item \texttt {INT}, \bold{207} |
|
297 |
\item \texttt {Int}, \bold{207} |
|
298 |
\item \isa {int} (type), 151--152 |
|
299 |
\item \isa {INT_iff} (theorem), \bold{106} |
|
300 |
\item \isa {IntD1} (theorem), \bold{103} |
|
301 |
\item \isa {IntD2} (theorem), \bold{103} |
|
302 |
\item integers, 151--152 |
|
303 |
\item \isa {INTER} (constant), 107 |
|
304 |
\item \texttt {Inter}, \bold{207} |
|
305 |
\item \isa {Inter_iff} (theorem), \bold{106} |
|
306 |
\item intersection, 103 |
|
307 |
\subitem indexed, 106 |
|
308 |
\item \isa {IntI} (theorem), \bold{103} |
|
309 |
\item \isa {intro} (method), 72 |
|
310 |
\item \isa {intro!} (attribute), 126 |
|
311 |
\item \isa {intro_classes} (method), 164 |
|
312 |
\item introduction rules, 66--67 |
|
313 |
\item \isa {inv} (constant), 84 |
|
314 |
\item \isa {inv_image_def} (theorem), \bold{113} |
|
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\item inverse |
12644 | 316 |
\subitem of a function, \bold{108} |
317 |
\subitem of a relation, \bold{110} |
|
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\item inverse image |
12644 | 319 |
\subitem of a function, 109 |
320 |
\subitem of a relation, 112 |
|
321 |
\item \isa {itrev} (constant), 34 |
|
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|
323 |
\indexspace |
|
324 |
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12644 | 325 |
\item \isacommand {kill} (command), 16 |
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|
327 |
\indexspace |
|
328 |
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12644 | 329 |
\item $\lambda$ expressions, 5 |
330 |
\item LCF, 43 |
|
331 |
\item \isa {LEAST} (symbol), 23, 83 |
|
332 |
\item least number operator, \see{\protect\isa{LEAST}}{83} |
|
333 |
\item Leibniz, Gottfried Wilhelm, 53 |
|
334 |
\item \isacommand {lemma} (command), 13 |
|
335 |
\item \isacommand {lemmas} (command), 91, 100 |
|
336 |
\item \isa {length} (symbol), 18 |
|
337 |
\item \isa {length_induct}, \bold{188} |
|
338 |
\item \isa {less_than} (constant), 112 |
|
339 |
\item \isa {less_than_iff} (theorem), \bold{112} |
|
340 |
\item \isa {let} expressions, 5, 6, 31 |
|
341 |
\item \isa {Let_def} (theorem), 31 |
|
342 |
\item \isa {lex_prod_def} (theorem), \bold{113} |
|
343 |
\item lexicographic product, \bold{113}, 176 |
|
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\item {\texttt{lfp}} |
12644 | 345 |
\subitem applications of, \see{CTL}{114} |
346 |
\item Library, 4 |
|
347 |
\item linear arithmetic, 22--24, 147 |
|
348 |
\item \isa {List} (theory), 17 |
|
349 |
\item \isa {list} (type), 5, 9, 17 |
|
350 |
\item \isa {list.split} (theorem), 32 |
|
351 |
\item \isa {lists_mono} (theorem), \bold{135} |
|
352 |
\item Lowe, Gavin, 194--195 |
|
11414 | 353 |
|
354 |
\indexspace |
|
355 |
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12644 | 356 |
\item \isa {Main} (theory), 4 |
357 |
\item major premise, \bold{73} |
|
358 |
\item \isa {make} (constant), 161 |
|
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\item markup commands, \bold{60} |
12644 | 360 |
\item \isa {max} (constant), 23, 24 |
361 |
\item measure functions, 47, 112 |
|
362 |
\item \isa {measure_def} (theorem), \bold{113} |
|
363 |
\item meta-logic, \bold{78} |
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\item methods, \bold{16} |
12644 | 365 |
\item \isa {min} (constant), 23, 24 |
12627 | 366 |
\item mixfix annotations, \bold{53} |
12644 | 367 |
\item \isa {mod} (symbol), 23 |
368 |
\item \isa {mod_div_equality} (theorem), \bold{149} |
|
369 |
\item \isa {mod_mult_distrib} (theorem), \bold{149} |
|
370 |
\item model checking example, 114--124 |
|
371 |
\item \emph{modus ponens}, 65, 70 |
|
372 |
\item \isa {mono_def} (theorem), \bold{114} |
|
373 |
\item monotone functions, \bold{114}, 137 |
|
374 |
\subitem and inductive definitions, 135--136 |
|
375 |
\item \isa {more} (constant), 156, 158 |
|
376 |
\item \isa {mp} (theorem), \bold{70} |
|
377 |
\item \isa {mult_ac} (theorems), 150 |
|
378 |
\item multiple inheritance, \bold{167} |
|
379 |
\item multiset ordering, \bold{113} |
|
11414 | 380 |
|
381 |
\indexspace |
|
382 |
||
12644 | 383 |
\item \isa {nat} (type), 4, 22, 149--151 |
384 |
\item \isa {nat_less_induct} (theorem), 186 |
|
385 |
\item natural deduction, 65--66 |
|
386 |
\item natural numbers, 22, 149--151 |
|
387 |
\item Needham-Schroeder protocol, 193--195 |
|
388 |
\item negation, 71--73 |
|
389 |
\item \isa {Nil} (constant), 9 |
|
390 |
\item \isa {no_asm} (modifier), 29 |
|
391 |
\item \isa {no_asm_simp} (modifier), 30 |
|
392 |
\item \isa {no_asm_use} (modifier), 30 |
|
393 |
\item non-standard reals, 153 |
|
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394 |
\item \isa {None} (constant), \bold{24} |
12644 | 395 |
\item \isa {notE} (theorem), \bold{71} |
396 |
\item \isa {notI} (theorem), \bold{71} |
|
397 |
\item numbers, 147--153 |
|
398 |
\item numeric literals, 148 |
|
399 |
\subitem for type \protect\isa{nat}, 149 |
|
400 |
\subitem for type \protect\isa{real}, 153 |
|
11414 | 401 |
|
402 |
\indexspace |
|
403 |
||
12644 | 404 |
\item \isa {O} (symbol), 110 |
405 |
\item \texttt {o}, \bold{207} |
|
406 |
\item \isa {o_def} (theorem), \bold{108} |
|
407 |
\item \isa {OF} (attribute), 93--94 |
|
408 |
\item \isa {of} (attribute), 91, 94 |
|
409 |
\item \isa {only} (modifier), 29 |
|
410 |
\item \isacommand {oops} (command), 13 |
|
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|
411 |
\item \isa {option} (type), \bold{24} |
12644 | 412 |
\item ordered rewriting, \bold{174} |
413 |
\item overloading, 23, 163--165 |
|
414 |
\subitem and arithmetic, 148 |
|
11414 | 415 |
|
416 |
\indexspace |
|
417 |
||
12644 | 418 |
\item pairs and tuples, 24, 153--156 |
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|
419 |
\item parent theories, \bold{4} |
11494 | 420 |
\item pattern matching |
12644 | 421 |
\subitem and \isacommand{recdef}, 47 |
11582 | 422 |
\item patterns |
12644 | 423 |
\subitem higher-order, \bold{175} |
424 |
\item PDL, 116--118 |
|
425 |
\item \isacommand {pr} (command), 16, 98 |
|
426 |
\item \isacommand {prefer} (command), 16, 98 |
|
427 |
\item prefix annotation, 56 |
|
11457 | 428 |
\item primitive recursion, \see{recursion, primitive}{1} |
12644 | 429 |
\item \isacommand {primrec} (command), 10, 18, 38--43 |
430 |
\item print mode, \bold{55} |
|
431 |
\item \isacommand {print\_syntax} (command), 54 |
|
11428 | 432 |
\item product type, \see{pairs and tuples}{1} |
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433 |
\item Proof General, \bold{7} |
12644 | 434 |
\item proof state, 12 |
11414 | 435 |
\item proofs |
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|
436 |
\subitem abandoning, \bold{13} |
12644 | 437 |
\subitem examples of failing, 85--87 |
11428 | 438 |
\item protocols |
12644 | 439 |
\subitem security, 193--203 |
11414 | 440 |
|
441 |
\indexspace |
|
442 |
||
12644 | 443 |
\item quantifiers, 6 |
444 |
\subitem and inductive definitions, 133--135 |
|
445 |
\subitem existential, 80 |
|
446 |
\subitem for sets, 106 |
|
447 |
\subitem instantiating, 82 |
|
448 |
\subitem universal, 77--80 |
|
11414 | 449 |
|
450 |
\indexspace |
|
451 |
||
12644 | 452 |
\item \isa {r_into_rtrancl} (theorem), \bold{110} |
453 |
\item \isa {r_into_trancl} (theorem), \bold{111} |
|
11414 | 454 |
\item range |
12644 | 455 |
\subitem of a function, 109 |
456 |
\subitem of a relation, 110 |
|
457 |
\item \isa {range} (symbol), 109 |
|
458 |
\item \isa {Range_iff} (theorem), \bold{110} |
|
459 |
\item \isa {Real} (theory), 153 |
|
460 |
\item \isa {real} (type), 152--153 |
|
461 |
\item real numbers, 152--153 |
|
462 |
\item \isacommand {recdef} (command), 46--52, 112, 176--184 |
|
463 |
\subitem and numeric literals, 148 |
|
464 |
\item \isa {recdef_cong} (attribute), 180 |
|
465 |
\item \isa {recdef_simp} (attribute), 49 |
|
466 |
\item \isa {recdef_wf} (attribute), 178 |
|
467 |
\item \isacommand {record} (command), 157 |
|
468 |
\item records, 156--162 |
|
469 |
\subitem extensible, 158--159 |
|
11414 | 470 |
\item recursion |
12644 | 471 |
\subitem guarded, 181 |
472 |
\subitem primitive, 18 |
|
473 |
\subitem well-founded, \bold{177} |
|
474 |
\item recursion induction, 51--52 |
|
475 |
\item \isacommand {redo} (command), 16 |
|
476 |
\item reflexive and transitive closure, 110--112 |
|
11494 | 477 |
\item reflexive transitive closure |
12644 | 478 |
\subitem defining inductively, 130--133 |
479 |
\item \isa {rel_comp_def} (theorem), \bold{110} |
|
480 |
\item relations, 109--112 |
|
481 |
\subitem well-founded, 112--113 |
|
482 |
\item \isa {rename_tac} (method), 80--81 |
|
483 |
\item \isa {rev} (constant), 10--14, 34 |
|
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484 |
\item rewrite rules, \bold{27} |
12644 | 485 |
\subitem permutative, \bold{174} |
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|
486 |
\item rewriting, \bold{27} |
12644 | 487 |
\item \isa {rotate_tac} (method), 30 |
488 |
\item \isa {rtrancl_refl} (theorem), \bold{110} |
|
489 |
\item \isa {rtrancl_trans} (theorem), \bold{110} |
|
490 |
\item rule induction, 126--128 |
|
491 |
\item rule inversion, 128--129, 137--138 |
|
492 |
\item \isa {rule_format} (attribute), 185 |
|
493 |
\item \isa {rule_tac} (method), 74 |
|
494 |
\subitem and renaming, 81 |
|
11414 | 495 |
|
496 |
\indexspace |
|
497 |
||
12644 | 498 |
\item \isa {safe} (method), 89, 90 |
499 |
\item safe rules, \bold{88} |
|
12652 | 500 |
\item \isacommand {sect} (command), 60 |
501 |
\item \isacommand {section} (command), 60 |
|
12585 | 502 |
\item selector |
12644 | 503 |
\subitem record, 157 |
504 |
\item session, \bold{58} |
|
505 |
\item \isa {set} (type), 5, 103 |
|
506 |
\item set comprehensions, 105--106 |
|
507 |
\item \isa {set_ext} (theorem), \bold{104} |
|
508 |
\item sets, 103--107 |
|
509 |
\subitem finite, 107 |
|
510 |
\subitem notation for finite, \bold{105} |
|
11428 | 511 |
\item settings, \see{flags}{1} |
12644 | 512 |
\item \isa {show_brackets} (flag), 6 |
513 |
\item \isa {show_types} (flag), 5, 16 |
|
514 |
\item \isa {simp} (attribute), 11, 28 |
|
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|
515 |
\item \isa {simp} (method), \bold{28} |
12644 | 516 |
\item \isa {simp} del (attribute), 28 |
517 |
\item \isa {simp_all} (method), 29, 38 |
|
518 |
\item simplification, 27--33, 173--176 |
|
519 |
\subitem of \isa{let}-expressions, 31 |
|
520 |
\subitem with definitions, 30 |
|
521 |
\subitem with/of assumptions, 29 |
|
522 |
\item simplification rule, 175--176 |
|
523 |
\item simplification rules, 28 |
|
524 |
\subitem adding and deleting, 29 |
|
525 |
\item \isa {simplified} (attribute), 91, 94 |
|
526 |
\item \isa {size} (constant), 17 |
|
527 |
\item \isa {snd} (constant), 24 |
|
528 |
\item \isa {SOME} (symbol), 84 |
|
529 |
\item \texttt {SOME}, \bold{207} |
|
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530 |
\item \isa {Some} (constant), \bold{24} |
12644 | 531 |
\item \isa {some_equality} (theorem), \bold{84} |
532 |
\item \isa {someI} (theorem), \bold{84} |
|
533 |
\item \isa {someI2} (theorem), \bold{84} |
|
534 |
\item \isa {someI_ex} (theorem), \bold{85} |
|
535 |
\item sorts, 168 |
|
536 |
\item \isa {spec} (theorem), \bold{78} |
|
537 |
\item \isa {split} (attribute), 32 |
|
538 |
\item \isa {split} (constant), 154 |
|
539 |
\item \isa {split} (method), 31, 154 |
|
540 |
\item \isa {split} (modifier), 32 |
|
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|
541 |
\item split rule, \bold{32} |
12644 | 542 |
\item \isa {split_if} (theorem), 32 |
543 |
\item \isa {split_if_asm} (theorem), 32 |
|
544 |
\item \isa {ssubst} (theorem), \bold{75} |
|
11457 | 545 |
\item structural induction, \see{induction, structural}{1} |
12644 | 546 |
\item subclasses, 162, 167 |
547 |
\item subgoal numbering, 46 |
|
548 |
\item \isa {subgoal_tac} (method), 96 |
|
549 |
\item subgoals, 12 |
|
12652 | 550 |
\item \isacommand {subsect} (command), 60 |
551 |
\item \isacommand {subsection} (command), 60 |
|
12644 | 552 |
\item subset relation, \bold{104} |
553 |
\item \isa {subsetD} (theorem), \bold{104} |
|
554 |
\item \isa {subsetI} (theorem), \bold{104} |
|
555 |
\item \isa {subst} (method), 75 |
|
556 |
\item substitution, 75--77 |
|
12652 | 557 |
\item \isacommand {subsubsect} (command), 60 |
558 |
\item \isacommand {subsubsection} (command), 60 |
|
12644 | 559 |
\item \isa {Suc} (constant), 22 |
560 |
\item \isa {surj_def} (theorem), \bold{108} |
|
561 |
\item surjections, 108 |
|
562 |
\item \isa {sym} (theorem), \bold{92} |
|
12652 | 563 |
\item symbols, \bold{54} |
12644 | 564 |
\item syntax, 6, 11 |
12652 | 565 |
\item \isacommand {syntax} (command), 55 |
566 |
\item syntax (command), 57 |
|
567 |
\item syntax translations, \bold{57} |
|
11414 | 568 |
|
569 |
\indexspace |
|
570 |
||
12644 | 571 |
\item tacticals, 97 |
572 |
\item tactics, 12 |
|
573 |
\item \isacommand {term} (command), 16 |
|
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|
574 |
\item term rewriting, \bold{27} |
11428 | 575 |
\item termination, \see{functions, total}{1} |
12644 | 576 |
\item terms, 5 |
577 |
\item \isa {THE} (symbol), 83 |
|
578 |
\item \isa {the_equality} (theorem), \bold{83} |
|
579 |
\item \isa {THEN} (attribute), \bold{92}, 94, 100 |
|
580 |
\item \isacommand {theorem} (command), \bold{11}, 13 |
|
581 |
\item theories, 4 |
|
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|
582 |
\subitem abandoning, \bold{16} |
12644 | 583 |
\item \isacommand {theory} (command), 16 |
584 |
\item theory files, 4 |
|
585 |
\item \isacommand {thm} (command), 16 |
|
586 |
\item \isa {tl} (constant), 17 |
|
587 |
\item \isa {ToyList} example, 9--14 |
|
588 |
\item \isa {trace_simp} (flag), 33 |
|
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|
589 |
\item tracing the simplifier, \bold{33} |
12644 | 590 |
\item \isa {trancl_trans} (theorem), \bold{111} |
591 |
\item transition systems, 115 |
|
592 |
\item \isacommand {translations} (command), 57 |
|
593 |
\item tries, 44--46 |
|
594 |
\item \isa {True} (constant), 5 |
|
595 |
\item \isa {truncate} (constant), 161 |
|
11428 | 596 |
\item tuples, \see{pairs and tuples}{1} |
12644 | 597 |
\item \isacommand {typ} (command), 16 |
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|
598 |
\item type constraints, \bold{6} |
12644 | 599 |
\item type constructors, 5 |
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|
600 |
\item type inference, \bold{5} |
12644 | 601 |
\item type synonyms, 25 |
602 |
\item type variables, 5 |
|
603 |
\item \isacommand {typedecl} (command), 115, 169 |
|
604 |
\item \isacommand {typedef} (command), 169--172 |
|
605 |
\item types, 4--5 |
|
606 |
\subitem declaring, 169 |
|
607 |
\subitem defining, 169--172 |
|
608 |
\item \isacommand {types} (command), 25 |
|
11414 | 609 |
|
610 |
\indexspace |
|
611 |
||
12644 | 612 |
\item Ullman, J. D., 143 |
613 |
\item \texttt {UN}, \bold{207} |
|
614 |
\item \texttt {Un}, \bold{207} |
|
615 |
\item \isa {UN_E} (theorem), \bold{106} |
|
616 |
\item \isa {UN_I} (theorem), \bold{106} |
|
617 |
\item \isa {UN_iff} (theorem), \bold{106} |
|
618 |
\item \isa {Un_subset_iff} (theorem), \bold{104} |
|
619 |
\item \isacommand {undo} (command), 16 |
|
12547 | 620 |
\item \isa {unfold} (method), \bold{31} |
12652 | 621 |
\item Unicode, 54 |
12644 | 622 |
\item unification, 74--77 |
623 |
\item \isa {UNION} (constant), 107 |
|
624 |
\item \texttt {Union}, \bold{207} |
|
11414 | 625 |
\item union |
12644 | 626 |
\subitem indexed, 106 |
627 |
\item \isa {Union_iff} (theorem), \bold{106} |
|
628 |
\item \isa {unit} (type), 24 |
|
629 |
\item unknowns, 7, \bold{66} |
|
630 |
\item unsafe rules, \bold{88} |
|
12585 | 631 |
\item update |
12644 | 632 |
\subitem record, 157 |
633 |
\item updating a function, \bold{107} |
|
11414 | 634 |
|
635 |
\indexspace |
|
636 |
||
12644 | 637 |
\item variables, 7 |
638 |
\subitem schematic, 7 |
|
639 |
\subitem type, 5 |
|
640 |
\item \isa {vimage_def} (theorem), \bold{109} |
|
11414 | 641 |
|
642 |
\indexspace |
|
643 |
||
12644 | 644 |
\item Wenzel, Markus, vii |
645 |
\item \isa {wf_induct} (theorem), \bold{113} |
|
646 |
\item \isa {wf_inv_image} (theorem), \bold{113} |
|
647 |
\item \isa {wf_less_than} (theorem), \bold{112} |
|
648 |
\item \isa {wf_lex_prod} (theorem), \bold{113} |
|
649 |
\item \isa {wf_measure} (theorem), \bold{113} |
|
650 |
\item \isa {wf_subset} (theorem), 178 |
|
651 |
\item \isa {while} (constant), 183 |
|
652 |
\item \isa {While_Combinator} (theory), 183 |
|
653 |
\item \isa {while_rule} (theorem), 183 |
|
11414 | 654 |
|
11494 | 655 |
\indexspace |
656 |
||
12644 | 657 |
\item \isa {zadd_ac} (theorems), 151 |
658 |
\item \isa {zmult_ac} (theorems), 151 |
|
11494 | 659 |
|
11414 | 660 |
\end{theindex} |