author | wenzelm |
Sat, 05 Jan 2002 01:20:06 +0100 | |
changeset 12640 | 6031383c736a |
parent 12627 | 08eee994bf99 |
child 12642 | 40fbd988b59b |
permissions | -rw-r--r-- |
11414 | 1 |
\begin{theindex} |
2 |
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12640 | 3 |
\item \ttall, \bold{203} |
4 |
\item \texttt{?}, \bold{203} |
|
5 |
\item \isasymuniqex, \bold{203} |
|
6 |
\item \ttuniquex, \bold{203} |
|
7 |
\item {\texttt {\&}}, \bold{203} |
|
8 |
\item \verb$~$, \bold{203} |
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9 |
\item \verb$~=$, \bold{203} |
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10 |
\item \ttor, \bold{203} |
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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}, 203 |
14 |
\item \isasymnotin, \bold{203} |
|
15 |
\item \verb$~:$, \bold{203} |
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16 |
\item \isasymInter, \bold{203} |
|
17 |
\item \isasymUnion, \bold{203} |
|
18 |
\item \isasyminverse, \bold{203} |
|
19 |
\item \verb$^-1$, \bold{203} |
|
20 |
\item \isactrlsup{\isacharasterisk}, \bold{203} |
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21 |
\item \verb$^$\texttt{*}, \bold{203} |
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22 |
\item \isasymAnd, \bold{12}, \bold{203} |
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23 |
\item \ttAnd, \bold{203} |
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24 |
\item \isasymrightleftharpoons, 57 |
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25 |
\item \isasymrightharpoonup, 57 |
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26 |
\item \isasymleftharpoondown, 57 |
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\item \emph {$\Rightarrow $}, \bold{5} |
12640 | 28 |
\item \ttlbr, \bold{203} |
29 |
\item \ttrbr, \bold{203} |
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30 |
\item \texttt {\%}, \bold{203} |
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\item \texttt {;}, \bold{7} |
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\item \isa {()} (constant), 24 |
12640 | 33 |
\item \isa {+} (tactical), 93 |
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\item \isa {<*lex*>}, \see{lexicographic product}{1} |
12640 | 35 |
\item \isa {?} (tactical), 93 |
36 |
\item \texttt{|} (tactical), 93 |
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11414 | 37 |
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38 |
\indexspace |
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39 |
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12640 | 40 |
\item \isa {0} (constant), 22, 23, 144 |
41 |
\item \isa {1} (constant), 23, 144, 145 |
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43 |
\indexspace |
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44 |
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\item abandoning a proof, \bold{13} |
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\item abandoning a theory, \bold{16} |
12640 | 47 |
\item \isa {abs} (constant), 147 |
48 |
\item \texttt {abs}, \bold{203} |
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49 |
\item absolute value, 147 |
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\item \isa {add} (modifier), 29 |
12640 | 51 |
\item \isa {add_ac} (theorems), 146 |
52 |
\item \isa {add_assoc} (theorem), \bold{146} |
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53 |
\item \isa {add_commute} (theorem), \bold{146} |
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54 |
\item \isa {add_mult_distrib} (theorem), \bold{145} |
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55 |
\item \texttt {ALL}, \bold{203} |
|
56 |
\item \isa {All} (constant), 103 |
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57 |
\item \isa {allE} (theorem), \bold{75} |
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58 |
\item \isa {allI} (theorem), \bold{74} |
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\item append function, 10--14 |
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\item \isacommand {apply} (command), 15 |
12640 | 61 |
\item \isa {arg_cong} (theorem), \bold{90} |
62 |
\item \isa {arith} (method), 23, 143 |
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\item arithmetic operations |
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\subitem for \protect\isa{nat}, 23 |
12640 | 65 |
\item \textsc {ascii} symbols, \bold{203} |
66 |
\item associative-commutative function, 170 |
|
67 |
\item \isa {assumption} (method), 63 |
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\item assumptions |
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\subitem of subgoal, 12 |
12640 | 70 |
\subitem renaming, 76--77 |
71 |
\subitem reusing, 77 |
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72 |
\item \isa {auto} (method), 38, 86 |
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73 |
\item \isa {axclass}, 158--164 |
|
74 |
\item axiom of choice, 80 |
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75 |
\item axiomatic type classes, 158--164 |
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77 |
\indexspace |
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78 |
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12640 | 79 |
\item \isacommand {back} (command), 72 |
80 |
\item \isa {Ball} (constant), 103 |
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81 |
\item \isa {ballI} (theorem), \bold{102} |
|
82 |
\item \isa {best} (method), 86 |
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83 |
\item \isa {Bex} (constant), 103 |
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84 |
\item \isa {bexE} (theorem), \bold{102} |
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85 |
\item \isa {bexI} (theorem), \bold{102} |
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86 |
\item \isa {bij_def} (theorem), \bold{104} |
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87 |
\item bijections, 104 |
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88 |
\item binary trees, 18 |
12640 | 89 |
\item binomial coefficients, 103 |
90 |
\item bisimulations, 110 |
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91 |
\item \isa {blast} (method), 83--84, 86 |
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\item \isa {bool} (type), 4, 5 |
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93 |
\item boolean expressions example, 20--22 |
12640 | 94 |
\item \isa {bspec} (theorem), \bold{102} |
95 |
\item \isacommand{by} (command), 67 |
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11414 | 96 |
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97 |
\indexspace |
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98 |
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12640 | 99 |
\item \isa {card} (constant), 103 |
100 |
\item \isa {card_Pow} (theorem), \bold{103} |
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101 |
\item \isa {card_Un_Int} (theorem), \bold{103} |
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102 |
\item cardinality, 103 |
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103 |
\item \isa {case} (symbol), 32, 33 |
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104 |
\item \isa {case} expressions, 5, 6, 18 |
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\item case distinctions, 19 |
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106 |
\item case splits, \bold{31} |
12640 | 107 |
\item \isa {case_tac} (method), 19, 95, 151 |
108 |
\item \isa {cases} (method), 156 |
|
109 |
\item \isa {clarify} (method), 85, 86 |
|
110 |
\item \isa {clarsimp} (method), 85, 86 |
|
111 |
\item \isa {classical} (theorem), \bold{67} |
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112 |
\item coinduction, \bold{110} |
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113 |
\item \isa {Collect} (constant), 103 |
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\item compiling expressions example, 36--38 |
12640 | 115 |
\item \isa {Compl_iff} (theorem), \bold{100} |
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\item complement |
12640 | 117 |
\subitem of a set, 99 |
11414 | 118 |
\item composition |
12640 | 119 |
\subitem of functions, \bold{104} |
120 |
\subitem of relations, \bold{106} |
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\item conclusion |
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\subitem of subgoal, 12 |
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\item conditional expressions, \see{\isa{if} expressions}{1} |
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124 |
\item conditional simplification rules, 31 |
12640 | 125 |
\item \isa {cong} (attribute), 170 |
126 |
\item congruence rules, \bold{169} |
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127 |
\item \isa {conjE} (theorem), \bold{65} |
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128 |
\item \isa {conjI} (theorem), \bold{62} |
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\item \isa {Cons} (constant), 9 |
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\item \isacommand {constdefs} (command), 25 |
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\item \isacommand {consts} (command), 10 |
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\item contrapositives, 67 |
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\item converse |
12640 | 134 |
\subitem of a relation, \bold{106} |
135 |
\item \isa {converse_iff} (theorem), \bold{106} |
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136 |
\item CTL, 115--120, 185--187 |
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\indexspace |
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\item \isacommand {datatype} (command), 9, 38--43 |
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\item datatypes, 17--22 |
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\subitem and nested recursion, 40, 44 |
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143 |
\subitem mutually recursive, 38 |
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\subitem nested, 174 |
145 |
\item \isacommand {defer} (command), 16, 94 |
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\item Definitional Approach, 26 |
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\item definitions, \bold{25} |
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\subitem unfolding, \bold{30} |
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149 |
\item \isacommand {defs} (command), 25 |
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150 |
\item \isa {del} (modifier), 29 |
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\item description operators, 79--81 |
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\item descriptions |
12640 | 153 |
\subitem definite, 79 |
154 |
\subitem indefinite, 80 |
|
155 |
\item \isa {dest} (attribute), 96 |
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156 |
\item destruction rules, 65 |
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157 |
\item \isa {diff_mult_distrib} (theorem), \bold{145} |
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\item difference |
12640 | 159 |
\subitem of sets, \bold{100} |
160 |
\item \isa {disjCI} (theorem), \bold{68} |
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161 |
\item \isa {disjE} (theorem), \bold{64} |
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\item \isa {div} (symbol), 23 |
12640 | 163 |
\item divides relation, 78, 89, 95--98, 146 |
11424 | 164 |
\item division |
12640 | 165 |
\subitem by negative numbers, 147 |
166 |
\subitem by zero, 146 |
|
167 |
\subitem for type \protect\isa{nat}, 145 |
|
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\item domain |
12640 | 169 |
\subitem of a relation, 106 |
170 |
\item \isa {Domain_iff} (theorem), \bold{106} |
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171 |
\item \isacommand {done} (command), 13 |
12640 | 172 |
\item \isa {drule_tac} (method), 70, 90 |
173 |
\item \isa {dvd_add} (theorem), \bold{146} |
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174 |
\item \isa {dvd_anti_sym} (theorem), \bold{146} |
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175 |
\item \isa {dvd_def} (theorem), \bold{146} |
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177 |
\indexspace |
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178 |
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\item \isa {elim!} (attribute), 125 |
180 |
\item elimination rules, 63--64 |
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181 |
\item \isacommand {end} (command), 14 |
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\item \isa {Eps} (constant), 103 |
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183 |
\item equality, 5 |
12640 | 184 |
\subitem of functions, \bold{103} |
185 |
\subitem of records, 155 |
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186 |
\subitem of sets, \bold{100} |
|
187 |
\item \isa {equalityE} (theorem), \bold{100} |
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188 |
\item \isa {equalityI} (theorem), \bold{100} |
|
189 |
\item \isa {erule} (method), 64 |
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190 |
\item \isa {erule_tac} (method), 70 |
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191 |
\item Euclid's algorithm, 95--98 |
|
11414 | 192 |
\item even numbers |
12640 | 193 |
\subitem defining inductively, 121--125 |
194 |
\item \texttt {EX}, \bold{203} |
|
195 |
\item \isa {Ex} (constant), 103 |
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196 |
\item \isa {exE} (theorem), \bold{76} |
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197 |
\item \isa {exI} (theorem), \bold{76} |
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198 |
\item \isa {ext} (theorem), \bold{103} |
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199 |
\item \isa {extend} (constant), 157 |
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\item extensionality |
12640 | 201 |
\subitem for functions, \bold{103, 104} |
202 |
\subitem for records, 155 |
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203 |
\subitem for sets, \bold{100} |
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204 |
\item \ttEXU, \bold{203} |
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206 |
\indexspace |
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207 |
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208 |
\item \isa {False} (constant), 5 |
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\item \isa {fast} (method), 86, 118 |
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\item Fibonacci function, 47 |
12640 | 211 |
\item \isa {fields} (constant), 157 |
212 |
\item \isa {finite} (symbol), 103 |
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213 |
\item \isa {Finites} (constant), 103 |
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214 |
\item fixed points, 110 |
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215 |
\item flags, 5, 6, 33 |
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\subitem setting and resetting, 5 |
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\item \isa {force} (method), 85, 86 |
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218 |
\item formulae, 5--6 |
12640 | 219 |
\item forward proof, 86--92 |
220 |
\item \isa {frule} (method), 77 |
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221 |
\item \isa {frule_tac} (method), 70 |
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\item \isa {fst} (constant), 24 |
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223 |
\item function types, 5 |
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\item functions, 103--105 |
225 |
\subitem partial, 176 |
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\subitem total, 11, 46--52 |
12640 | 227 |
\subitem underdefined, 177 |
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229 |
\indexspace |
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230 |
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12640 | 231 |
\item \isa {gcd} (constant), 87--88, 95--98 |
232 |
\item generalizing for induction, 123 |
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\item generalizing induction formulae, 35 |
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\item Girard, Jean-Yves, \fnote{65} |
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235 |
\item Gordon, Mike, 3 |
11494 | 236 |
\item grammars |
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\subitem defining inductively, 134--139 |
238 |
\item ground terms example, 129--134 |
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240 |
\indexspace |
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242 |
\item \isa {hd} (constant), 17, 37 |
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\item Hilbert's $\varepsilon$-operator, 80 |
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244 |
\item HOLCF, 43 |
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\item Hopcroft, J. E., 139 |
246 |
\item \isa {hypreal} (type), 149 |
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248 |
\indexspace |
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249 |
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\item \isa {Id_def} (theorem), \bold{106} |
251 |
\item \isa {id_def} (theorem), \bold{104} |
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252 |
\item identifiers, \bold{6} |
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253 |
\subitem qualified, \bold{4} |
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\item identity function, \bold{104} |
255 |
\item identity relation, \bold{106} |
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256 |
\item \isa {if} expressions, 5, 6 |
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\subitem simplification of, 33 |
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\subitem splitting of, 31, 49 |
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259 |
\item if-and-only-if, 6 |
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\item \isa {iff} (attribute), 84, 96, 124 |
261 |
\item \isa {iffD1} (theorem), \bold{88} |
|
262 |
\item \isa {iffD2} (theorem), \bold{88} |
|
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\item image |
12640 | 264 |
\subitem under a function, \bold{105} |
265 |
\subitem under a relation, \bold{106} |
|
266 |
\item \isa {image_def} (theorem), \bold{105} |
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267 |
\item \isa {Image_iff} (theorem), \bold{106} |
|
268 |
\item \isa {impI} (theorem), \bold{66} |
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269 |
\item implication, 66--67 |
|
270 |
\item \isa {ind_cases} (method), 125 |
|
271 |
\item \isa {induct_tac} (method), 12, 19, 52, 184 |
|
272 |
\item induction, 180--187 |
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273 |
\subitem complete, 182 |
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274 |
\subitem deriving new schemas, 184 |
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275 |
\subitem on a term, 181 |
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\subitem recursion, 51--52 |
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277 |
\subitem structural, 19 |
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\subitem well-founded, 109 |
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\item induction heuristics, 34--36 |
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\item \isacommand {inductive} (command), 121 |
11428 | 281 |
\item inductive definition |
12640 | 282 |
\subitem simultaneous, 135 |
283 |
\item inductive definitions, 121--139 |
|
284 |
\item \isacommand {inductive\_cases} (command), 125, 133 |
|
12547 | 285 |
\item infinitely branching trees, 43 |
12627 | 286 |
\item infix annotations, \bold{54} |
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287 |
\item \isacommand{infixr} (annotation), 10 |
12640 | 288 |
\item \isa {inj_on_def} (theorem), \bold{104} |
289 |
\item injections, 104 |
|
290 |
\item \isa {insert} (constant), 101 |
|
291 |
\item \isa {insert} (method), 91--92 |
|
292 |
\item instance, \bold{160} |
|
293 |
\item \texttt {INT}, \bold{203} |
|
294 |
\item \texttt {Int}, \bold{203} |
|
295 |
\item \isa {int} (type), 147--148 |
|
296 |
\item \isa {INT_iff} (theorem), \bold{102} |
|
297 |
\item \isa {IntD1} (theorem), \bold{99} |
|
298 |
\item \isa {IntD2} (theorem), \bold{99} |
|
299 |
\item integers, 147--148 |
|
300 |
\item \isa {INTER} (constant), 103 |
|
301 |
\item \texttt {Inter}, \bold{203} |
|
302 |
\item \isa {Inter_iff} (theorem), \bold{102} |
|
303 |
\item intersection, 99 |
|
304 |
\subitem indexed, 102 |
|
305 |
\item \isa {IntI} (theorem), \bold{99} |
|
306 |
\item \isa {intro} (method), 68 |
|
307 |
\item \isa {intro!} (attribute), 122 |
|
308 |
\item \isa {intro_classes} (method), 160 |
|
309 |
\item introduction rules, 62--63 |
|
310 |
\item \isa {inv} (constant), 80 |
|
311 |
\item \isa {inv_image_def} (theorem), \bold{109} |
|
11414 | 312 |
\item inverse |
12640 | 313 |
\subitem of a function, \bold{104} |
314 |
\subitem of a relation, \bold{106} |
|
11414 | 315 |
\item inverse image |
12640 | 316 |
\subitem of a function, 105 |
317 |
\subitem of a relation, 108 |
|
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318 |
\item \isa {itrev} (constant), 34 |
11414 | 319 |
|
320 |
\indexspace |
|
321 |
||
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322 |
\item \isacommand {kill} (command), 16 |
11414 | 323 |
|
324 |
\indexspace |
|
325 |
||
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326 |
\item $\lambda$ expressions, 5 |
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327 |
\item LCF, 43 |
12640 | 328 |
\item \isa {LEAST} (symbol), 23, 79 |
329 |
\item least number operator, \see{\protect\isa{LEAST}}{79} |
|
12627 | 330 |
\item Leibniz, Gottfried Wilhelm, 53 |
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331 |
\item \isacommand {lemma} (command), 13 |
12640 | 332 |
\item \isacommand {lemmas} (command), 87, 96 |
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|
333 |
\item \isa {length} (symbol), 18 |
12640 | 334 |
\item \isa {length_induct}, \bold{184} |
335 |
\item \isa {less_than} (constant), 108 |
|
336 |
\item \isa {less_than_iff} (theorem), \bold{108} |
|
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337 |
\item \isa {let} expressions, 5, 6, 31 |
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338 |
\item \isa {Let_def} (theorem), 31 |
12640 | 339 |
\item \isa {lex_prod_def} (theorem), \bold{109} |
340 |
\item lexicographic product, \bold{109}, 172 |
|
11414 | 341 |
\item {\texttt{lfp}} |
12640 | 342 |
\subitem applications of, \see{CTL}{110} |
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343 |
\item Library, 4 |
12640 | 344 |
\item linear arithmetic, 22--24, 143 |
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345 |
\item \isa {List} (theory), 17 |
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346 |
\item \isa {list} (type), 5, 9, 17 |
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347 |
\item \isa {list.split} (theorem), 32 |
12640 | 348 |
\item \isa {lists_mono} (theorem), \bold{131} |
349 |
\item Lowe, Gavin, 190--191 |
|
11414 | 350 |
|
351 |
\indexspace |
|
352 |
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353 |
\item \isa {Main} (theory), 4 |
12640 | 354 |
\item major premise, \bold{69} |
355 |
\item \isa {make} (constant), 157 |
|
12333 | 356 |
\item \isa {max} (constant), 23, 24 |
12640 | 357 |
\item measure functions, 47, 108 |
358 |
\item \isa {measure_def} (theorem), \bold{109} |
|
359 |
\item meta-logic, \bold{74} |
|
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360 |
\item methods, \bold{16} |
12333 | 361 |
\item \isa {min} (constant), 23, 24 |
12627 | 362 |
\item mixfix annotations, \bold{53} |
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363 |
\item \isa {mod} (symbol), 23 |
12640 | 364 |
\item \isa {mod_div_equality} (theorem), \bold{145} |
365 |
\item \isa {mod_mult_distrib} (theorem), \bold{145} |
|
366 |
\item model checking example, 110--120 |
|
367 |
\item \emph{modus ponens}, 61, 66 |
|
368 |
\item \isa {mono_def} (theorem), \bold{110} |
|
369 |
\item monotone functions, \bold{110}, 133 |
|
370 |
\subitem and inductive definitions, 131--132 |
|
371 |
\item \isa {more} (constant), 152, 154 |
|
372 |
\item \isa {mp} (theorem), \bold{66} |
|
373 |
\item \isa {mult_ac} (theorems), 146 |
|
374 |
\item multiple inheritance, \bold{163} |
|
375 |
\item multiset ordering, \bold{109} |
|
11414 | 376 |
|
377 |
\indexspace |
|
378 |
||
12640 | 379 |
\item \isa {nat} (type), 4, 22, 145--147 |
380 |
\item \isa {nat_less_induct} (theorem), 182 |
|
381 |
\item natural deduction, 61--62 |
|
382 |
\item natural numbers, 22, 145--147 |
|
383 |
\item Needham-Schroeder protocol, 189--191 |
|
384 |
\item negation, 67--69 |
|
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385 |
\item \isa {Nil} (constant), 9 |
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386 |
\item \isa {no_asm} (modifier), 29 |
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387 |
\item \isa {no_asm_simp} (modifier), 30 |
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388 |
\item \isa {no_asm_use} (modifier), 30 |
12640 | 389 |
\item non-standard reals, 149 |
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390 |
\item \isa {None} (constant), \bold{24} |
12640 | 391 |
\item \isa {notE} (theorem), \bold{67} |
392 |
\item \isa {notI} (theorem), \bold{67} |
|
393 |
\item numbers, 143--149 |
|
394 |
\item numeric literals, 144 |
|
395 |
\subitem for type \protect\isa{nat}, 145 |
|
396 |
\subitem for type \protect\isa{real}, 149 |
|
11414 | 397 |
|
398 |
\indexspace |
|
399 |
||
12640 | 400 |
\item \isa {O} (symbol), 106 |
401 |
\item \texttt {o}, \bold{203} |
|
402 |
\item \isa {o_def} (theorem), \bold{104} |
|
403 |
\item \isa {OF} (attribute), 89--90 |
|
404 |
\item \isa {of} (attribute), 87, 90 |
|
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405 |
\item \isa {only} (modifier), 29 |
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406 |
\item \isacommand {oops} (command), 13 |
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407 |
\item \isa {option} (type), \bold{24} |
12640 | 408 |
\item ordered rewriting, \bold{170} |
409 |
\item overloading, 23, 159--161 |
|
410 |
\subitem and arithmetic, 144 |
|
11414 | 411 |
|
412 |
\indexspace |
|
413 |
||
12640 | 414 |
\item pairs and tuples, 24, 149--152 |
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415 |
\item parent theories, \bold{4} |
11494 | 416 |
\item pattern matching |
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417 |
\subitem and \isacommand{recdef}, 47 |
11582 | 418 |
\item patterns |
12640 | 419 |
\subitem higher-order, \bold{171} |
420 |
\item PDL, 112--114 |
|
421 |
\item \isacommand {pr} (command), 16, 94 |
|
422 |
\item \isacommand {prefer} (command), 16, 94 |
|
423 |
\item prefix annotation, \bold{56} |
|
11457 | 424 |
\item primitive recursion, \see{recursion, primitive}{1} |
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425 |
\item \isacommand {primrec} (command), 10, 18, 38--43 |
12640 | 426 |
\item print mode, 55 |
12627 | 427 |
\item \isacommand {print\_syntax} (command), 54 |
11428 | 428 |
\item product type, \see{pairs and tuples}{1} |
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429 |
\item Proof General, \bold{7} |
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430 |
\item proof state, 12 |
11414 | 431 |
\item proofs |
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432 |
\subitem abandoning, \bold{13} |
12640 | 433 |
\subitem examples of failing, 81--83 |
11428 | 434 |
\item protocols |
12640 | 435 |
\subitem security, 189--199 |
11414 | 436 |
|
437 |
\indexspace |
|
438 |
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439 |
\item quantifiers, 6 |
12640 | 440 |
\subitem and inductive definitions, 129--131 |
441 |
\subitem existential, 76 |
|
442 |
\subitem for sets, 102 |
|
443 |
\subitem instantiating, 78 |
|
444 |
\subitem universal, 73--76 |
|
11414 | 445 |
|
446 |
\indexspace |
|
447 |
||
12640 | 448 |
\item \isa {r_into_rtrancl} (theorem), \bold{106} |
449 |
\item \isa {r_into_trancl} (theorem), \bold{107} |
|
11414 | 450 |
\item range |
12640 | 451 |
\subitem of a function, 105 |
452 |
\subitem of a relation, 106 |
|
453 |
\item \isa {range} (symbol), 105 |
|
454 |
\item \isa {Range_iff} (theorem), \bold{106} |
|
455 |
\item \isa {Real} (theory), 149 |
|
456 |
\item \isa {real} (type), 148--149 |
|
457 |
\item real numbers, 148--149 |
|
458 |
\item \isacommand {recdef} (command), 46--52, 108, 172--180 |
|
459 |
\subitem and numeric literals, 144 |
|
460 |
\item \isa {recdef_cong} (attribute), 176 |
|
12547 | 461 |
\item \isa {recdef_simp} (attribute), 49 |
12640 | 462 |
\item \isa {recdef_wf} (attribute), 174 |
463 |
\item \isacommand {record} (command), 153 |
|
464 |
\item records, 152--158 |
|
465 |
\subitem extensible, 154--155 |
|
11414 | 466 |
\item recursion |
12640 | 467 |
\subitem guarded, 177 |
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468 |
\subitem primitive, 18 |
12640 | 469 |
\subitem well-founded, \bold{173} |
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470 |
\item recursion induction, 51--52 |
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471 |
\item \isacommand {redo} (command), 16 |
12640 | 472 |
\item reflexive and transitive closure, 106--108 |
11494 | 473 |
\item reflexive transitive closure |
12640 | 474 |
\subitem defining inductively, 126--129 |
475 |
\item \isa {rel_comp_def} (theorem), \bold{106} |
|
476 |
\item relations, 105--108 |
|
477 |
\subitem well-founded, 108--109 |
|
478 |
\item \isa {rename_tac} (method), 76--77 |
|
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479 |
\item \isa {rev} (constant), 10--14, 34 |
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480 |
\item rewrite rules, \bold{27} |
12640 | 481 |
\subitem permutative, \bold{170} |
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482 |
\item rewriting, \bold{27} |
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483 |
\item \isa {rotate_tac} (method), 30 |
12640 | 484 |
\item \isa {rtrancl_refl} (theorem), \bold{106} |
485 |
\item \isa {rtrancl_trans} (theorem), \bold{106} |
|
486 |
\item rule induction, 122--124 |
|
487 |
\item rule inversion, 124--125, 133--134 |
|
488 |
\item \isa {rule_format} (attribute), 181 |
|
489 |
\item \isa {rule_tac} (method), 70 |
|
490 |
\subitem and renaming, 77 |
|
11414 | 491 |
|
492 |
\indexspace |
|
493 |
||
12640 | 494 |
\item \isa {safe} (method), 85, 86 |
495 |
\item safe rules, \bold{84} |
|
12585 | 496 |
\item selector |
12640 | 497 |
\subitem record, 153 |
498 |
\item \isa {set} (type), 5, 99 |
|
499 |
\item set comprehensions, 101--102 |
|
500 |
\item \isa {set_ext} (theorem), \bold{100} |
|
501 |
\item sets, 99--103 |
|
502 |
\subitem finite, 103 |
|
503 |
\subitem notation for finite, \bold{101} |
|
11428 | 504 |
\item settings, \see{flags}{1} |
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505 |
\item \isa {show_brackets} (flag), 6 |
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506 |
\item \isa {show_types} (flag), 5, 16 |
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507 |
\item \isa {simp} (attribute), 11, 28 |
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508 |
\item \isa {simp} (method), \bold{28} |
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509 |
\item \isa {simp} del (attribute), 28 |
12547 | 510 |
\item \isa {simp_all} (method), 29, 38 |
12640 | 511 |
\item simplification, 27--33, 169--172 |
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512 |
\subitem of \isa{let}-expressions, 31 |
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513 |
\subitem with definitions, 30 |
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514 |
\subitem with/of assumptions, 29 |
12640 | 515 |
\item simplification rule, 171--172 |
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516 |
\item simplification rules, 28 |
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517 |
\subitem adding and deleting, 29 |
12640 | 518 |
\item \isa {simplified} (attribute), 87, 90 |
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519 |
\item \isa {size} (constant), 17 |
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520 |
\item \isa {snd} (constant), 24 |
12640 | 521 |
\item \isa {SOME} (symbol), 80 |
522 |
\item \texttt {SOME}, \bold{203} |
|
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523 |
\item \isa {Some} (constant), \bold{24} |
12640 | 524 |
\item \isa {some_equality} (theorem), \bold{80} |
525 |
\item \isa {someI} (theorem), \bold{80} |
|
526 |
\item \isa {someI2} (theorem), \bold{80} |
|
527 |
\item \isa {someI_ex} (theorem), \bold{81} |
|
528 |
\item sorts, 164 |
|
529 |
\item \isa {spec} (theorem), \bold{74} |
|
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530 |
\item \isa {split} (attribute), 32 |
12640 | 531 |
\item \isa {split} (constant), 150 |
532 |
\item \isa {split} (method), 31, 150 |
|
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533 |
\item \isa {split} (modifier), 32 |
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534 |
\item split rule, \bold{32} |
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535 |
\item \isa {split_if} (theorem), 32 |
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536 |
\item \isa {split_if_asm} (theorem), 32 |
12640 | 537 |
\item \isa {ssubst} (theorem), \bold{71} |
11457 | 538 |
\item structural induction, \see{induction, structural}{1} |
12640 | 539 |
\item subclasses, 158, 163 |
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540 |
\item subgoal numbering, 46 |
12640 | 541 |
\item \isa {subgoal_tac} (method), 92 |
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542 |
\item subgoals, 12 |
12640 | 543 |
\item subset relation, \bold{100} |
544 |
\item \isa {subsetD} (theorem), \bold{100} |
|
545 |
\item \isa {subsetI} (theorem), \bold{100} |
|
546 |
\item \isa {subst} (method), 71 |
|
547 |
\item substitution, 71--73 |
|
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548 |
\item \isa {Suc} (constant), 22 |
12640 | 549 |
\item \isa {surj_def} (theorem), \bold{104} |
550 |
\item surjections, 104 |
|
551 |
\item \isa {sym} (theorem), \bold{88} |
|
552 |
\item symbols, \bold{55} |
|
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553 |
\item syntax, 6, 11 |
12640 | 554 |
\item \isacommand {syntax} (command), 56 |
555 |
\item syntax translations, 57 |
|
11414 | 556 |
|
557 |
\indexspace |
|
558 |
||
12640 | 559 |
\item tacticals, 93 |
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560 |
\item tactics, 12 |
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561 |
\item \isacommand {term} (command), 16 |
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562 |
\item term rewriting, \bold{27} |
11428 | 563 |
\item termination, \see{functions, total}{1} |
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564 |
\item terms, 5 |
12640 | 565 |
\item \isa {THE} (symbol), 79 |
566 |
\item \isa {the_equality} (theorem), \bold{79} |
|
567 |
\item \isa {THEN} (attribute), \bold{88}, 90, 96 |
|
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568 |
\item \isacommand {theorem} (command), \bold{11}, 13 |
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569 |
\item theories, 4 |
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570 |
\subitem abandoning, \bold{16} |
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571 |
\item \isacommand {theory} (command), 16 |
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572 |
\item theory files, 4 |
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573 |
\item \isacommand {thm} (command), 16 |
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574 |
\item \isa {tl} (constant), 17 |
11866 | 575 |
\item \isa {ToyList} example, 9--14 |
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576 |
\item \isa {trace_simp} (flag), 33 |
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577 |
\item tracing the simplifier, \bold{33} |
12640 | 578 |
\item \isa {trancl_trans} (theorem), \bold{107} |
579 |
\item transition systems, 111 |
|
580 |
\item \isacommand {translations} (command), 57 |
|
12547 | 581 |
\item tries, 44--46 |
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582 |
\item \isa {True} (constant), 5 |
12640 | 583 |
\item \isa {truncate} (constant), 157 |
11428 | 584 |
\item tuples, \see{pairs and tuples}{1} |
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585 |
\item \isacommand {typ} (command), 16 |
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586 |
\item type constraints, \bold{6} |
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587 |
\item type constructors, 5 |
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588 |
\item type inference, \bold{5} |
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589 |
\item type synonyms, 25 |
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590 |
\item type variables, 5 |
12640 | 591 |
\item \isacommand {typedecl} (command), 111, 165 |
592 |
\item \isacommand {typedef} (command), 165--168 |
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593 |
\item types, 4--5 |
12640 | 594 |
\subitem declaring, 165 |
595 |
\subitem defining, 165--168 |
|
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596 |
\item \isacommand {types} (command), 25 |
11414 | 597 |
|
598 |
\indexspace |
|
599 |
||
12640 | 600 |
\item Ullman, J. D., 139 |
601 |
\item \texttt {UN}, \bold{203} |
|
602 |
\item \texttt {Un}, \bold{203} |
|
603 |
\item \isa {UN_E} (theorem), \bold{102} |
|
604 |
\item \isa {UN_I} (theorem), \bold{102} |
|
605 |
\item \isa {UN_iff} (theorem), \bold{102} |
|
606 |
\item \isa {Un_subset_iff} (theorem), \bold{100} |
|
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607 |
\item \isacommand {undo} (command), 16 |
12547 | 608 |
\item \isa {unfold} (method), \bold{31} |
12640 | 609 |
\item Unicode, 55 |
610 |
\item unification, 70--73 |
|
611 |
\item \isa {UNION} (constant), 103 |
|
612 |
\item \texttt {Union}, \bold{203} |
|
11414 | 613 |
\item union |
12640 | 614 |
\subitem indexed, 102 |
615 |
\item \isa {Union_iff} (theorem), \bold{102} |
|
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616 |
\item \isa {unit} (type), 24 |
12640 | 617 |
\item unknowns, 7, \bold{62} |
618 |
\item unsafe rules, \bold{84} |
|
12585 | 619 |
\item update |
12640 | 620 |
\subitem record, 153 |
621 |
\item updating a function, \bold{103} |
|
11414 | 622 |
|
623 |
\indexspace |
|
624 |
||
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625 |
\item variables, 7 |
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626 |
\subitem schematic, 7 |
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627 |
\subitem type, 5 |
12640 | 628 |
\item \isa {vimage_def} (theorem), \bold{105} |
11414 | 629 |
|
630 |
\indexspace |
|
631 |
||
11582 | 632 |
\item Wenzel, Markus, vii |
12640 | 633 |
\item \isa {wf_induct} (theorem), \bold{109} |
634 |
\item \isa {wf_inv_image} (theorem), \bold{109} |
|
635 |
\item \isa {wf_less_than} (theorem), \bold{108} |
|
636 |
\item \isa {wf_lex_prod} (theorem), \bold{109} |
|
637 |
\item \isa {wf_measure} (theorem), \bold{109} |
|
638 |
\item \isa {wf_subset} (theorem), 174 |
|
639 |
\item \isa {while} (constant), 179 |
|
640 |
\item \isa {While_Combinator} (theory), 179 |
|
641 |
\item \isa {while_rule} (theorem), 179 |
|
11414 | 642 |
|
11494 | 643 |
\indexspace |
644 |
||
12640 | 645 |
\item \isa {zadd_ac} (theorems), 147 |
646 |
\item \isa {zmult_ac} (theorems), 147 |
|
11494 | 647 |
|
11414 | 648 |
\end{theindex} |