diff -r c51de60e26cf -r 2328d48eeba8 doc-src/TutorialI/tutorial.ind --- a/doc-src/TutorialI/tutorial.ind Fri Jul 20 17:49:10 2001 +0200 +++ b/doc-src/TutorialI/tutorial.ind Fri Jul 20 17:49:21 2001 +0200 @@ -5,7 +5,7 @@ \item \ttall, \bold{189} \item \emph {$\exists \tmspace +\thinmuskip {.1667em}$}, \bold{189} \item \isasymexists, \bold{3} - \item \texttt{?}, \hyperpage{5}, \bold{189} + \item \texttt{?}, 5, \bold{189} \item \emph {$\varepsilon $}, \bold{189} \item \isasymuniqex, \bold{3}, \bold{189} \item \ttuniquex, \bold{189} @@ -13,7 +13,8 @@ \item \isasymand, \bold{3} \item {\texttt {\&}}, \bold{189} \item \texttt {=}, \bold{3} - \item \emph {$\DOTSB \relbar \joinrel \rightarrow $}, \bold{189} + \item \emph {$\DOTSB \mathrel {\smash -}\mathrel {\mkern -3mu}\rightarrow $}, + \bold{189} \item \isasymimp, \bold{3} \item \texttt {-->}, \bold{189} \item \emph {$\neg $}, \bold{189} @@ -34,7 +35,7 @@ \item \texttt {<}, \bold{20, 21} \item \texttt{[]}, \bold{7} \item \texttt{\#}, \bold{7} - \item \texttt{\at}, \bold{8}, \hyperpage{189} + \item \texttt{\at}, \bold{8}, 189 \item \emph {$\in $}, \bold{189} \item \texttt {:}, \bold{189} \item \isasymnotin, \bold{189} @@ -59,7 +60,8 @@ \item \emph {$\Rightarrow $}, \bold{3}, \bold{189} \item \texttt {=>}, \bold{189} \item \texttt {<=}, \bold{189} - \item \emph {$\DOTSB \Relbar \joinrel \Rightarrow $}, \bold{189} + \item \emph {$\DOTSB \mathrel =\mathrel {\mkern -3mu}\Rightarrow $}, + \bold{189} \item \texttt {==>}, \bold{189} \item \emph {$\mathopen {[\mkern -3mu[}$}, \bold{10}, \bold{189} \item \ttlbr, \bold{189} @@ -73,190 +75,187 @@ \item \texttt {'a}, \bold{3} \item \texttt {()}, \bold{22} \item \texttt {::}, \bold{4} - \item \isa {+} (tactical), \hyperpage{83} + \item \isa {+} (tactical), 83 \item \isa {<*lex*>}, \see{lexicographic product}{1} - \item \isa {?} (tactical), \hyperpage{83} - \item \texttt{|} (tactical), \hyperpage{83} + \item \isa {?} (tactical), 83 + \item \texttt{|} (tactical), 83 \indexspace - \item \isa {0} (constant), \hyperpage{20, 21}, \hyperpage{133} - \item \isa {1} (symbol), \hyperpage{133} - \item \isa {2} (symbol), \hyperpage{133} + \item \isa {0} (constant), 20, 21, 133 + \item \isa {1} (symbol), 133 + \item \isa {2} (symbol), 133 \indexspace \item abandoning a proof, \bold{11} \item abandoning a theory, \bold{14} - \item \isa {abs} (constant), \hyperpage{135} + \item \isa {abs} (constant), 135 \item \texttt {abs}, \bold{189} - \item absolute value, \hyperpage{135} + \item absolute value, 135 \item \isa {add_assoc} (theorem), \bold{134} \item \isa {add_commute} (theorem), \bold{134} \item \isa {add_mult_distrib} (theorem), \bold{133} \item \texttt {ALL}, \bold{189} - \item \isa {All} (constant), \hyperpage{93} + \item \isa {All} (constant), 93 \item \isa {allE} (theorem), \bold{65} \item \isa {allI} (theorem), \bold{64} - \item \isacommand {apply} (command), \hyperpage{13} + \item \isacommand {apply} (command), 13 \item \isa {arg_cong} (theorem), \bold{80} - \item \isa {arith} (method), \hyperpage{21}, \hyperpage{131} + \item \isa {arith} (method), 21, 131 \item \textsc {ascii} symbols, \bold{189} - \item associative-commutative function, \hyperpage{158} - \item \isa {assumption} (method), \hyperpage{53} + \item associative-commutative function, 158 + \item \isa {assumption} (method), 53 \item assumptions - \subitem renaming, \hyperpage{66--67} - \subitem reusing, \hyperpage{67} - \item \isa {auto} (method), \hyperpage{36}, \hyperpage{76} - \item \isa {axclass}, \hyperpage{144--150} - \item axiom of choice, \hyperpage{70} - \item axiomatic type classes, \hyperpage{144--150} + \subitem renaming, 66--67 + \subitem reusing, 67 + \item \isa {auto} (method), 36, 76 + \item \isa {axclass}, 144--150 + \item axiom of choice, 70 + \item axiomatic type classes, 144--150 \indexspace - \item \isacommand {back} (command), \hyperpage{62} - \item \isa {Ball} (constant), \hyperpage{93} + \item \isacommand {back} (command), 62 + \item \isa {Ball} (constant), 93 \item \isa {ballI} (theorem), \bold{92} - \item \isa {best} (method), \hyperpage{75, 76} - \item \isa {Bex} (constant), \hyperpage{93} + \item \isa {best} (method), 75, 76 + \item \isa {Bex} (constant), 93 \item \isa {bexE} (theorem), \bold{92} \item \isa {bexI} (theorem), \bold{92} \item \isa {bij_def} (theorem), \bold{94} - \item bijections, \hyperpage{94} - \item binomial coefficients, \hyperpage{93} - \item bisimulations, \hyperpage{100} - \item \isa {blast} (method), \hyperpage{72--75} - \item \isa {bool} (type), \hyperpage{2, 3} + \item bijections, 94 + \item binomial coefficients, 93 + \item bisimulations, 100 + \item \isa {blast} (method), 72--75 + \item \isa {bool} (type), 2, 3 \item \isa {bspec} (theorem), \bold{92} - \item \isacommand{by} (command), \hyperpage{57} + \item \isacommand{by} (command), 57 \indexspace - \item \isa {card} (constant), \hyperpage{93} + \item \isa {card} (constant), 93 \item \isa {card_Pow} (theorem), \bold{93} \item \isa {card_Un_Int} (theorem), \bold{93} - \item cardinality, \hyperpage{93} - \item \isa {case} (symbol), \bold{3}, \hyperpage{4}, \hyperpage{16}, - \hyperpage{30, 31} + \item cardinality, 93 + \item \isa {case} (symbol), \bold{3}, 4, 16, 30, 31 \item case distinction, \bold{17} \item case splits, \bold{29} - \item \isa {case_tac} (method), \hyperpage{17}, \hyperpage{85} - \item \isa {clarify} (method), \hyperpage{74}, \hyperpage{76} - \item \isa {clarsimp} (method), \hyperpage{75, 76} + \item \isa {case_tac} (method), 17, 85 + \item \isa {clarify} (method), 74, 76 + \item \isa {clarsimp} (method), 75, 76 \item \isa {classical} (theorem), \bold{57} \item coinduction, \bold{100} - \item \isa {Collect} (constant), \hyperpage{93} + \item \isa {Collect} (constant), 93 \item \isa {comp_def} (theorem), \bold{96} \item \isa {Compl_iff} (theorem), \bold{90} \item complement - \subitem of a set, \hyperpage{89} + \subitem of a set, 89 \item composition \subitem of functions, \bold{94} \subitem of relations, \bold{96} \item congruence rules, \bold{157} \item \isa {conjE} (theorem), \bold{55} \item \isa {conjI} (theorem), \bold{52} - \item \isa {Cons} (constant), \hyperpage{7} - \item \isacommand {constdefs} (command), \hyperpage{23} - \item contrapositives, \hyperpage{57} + \item \isa {Cons} (constant), 7 + \item \isacommand {constdefs} (command), 23 + \item contrapositives, 57 \item converse \subitem of a relation, \bold{96} \item \isa {converse_iff} (theorem), \bold{96} - \item CTL, \hyperpage{100--110} + \item CTL, 100--110 \indexspace - \item \isacommand {datatype} (command), \hyperpage{7}, - \hyperpage{36--42} - \item \isacommand {defer} (command), \hyperpage{14}, \hyperpage{84} + \item \isacommand {datatype} (command), 7, 36--42 + \item \isacommand {defer} (command), 14, 84 \item definitions, \bold{23} \subitem unfolding, \bold{28} - \item \isacommand {defs} (command), \hyperpage{23} + \item \isacommand {defs} (command), 23 \item descriptions - \subitem definite, \hyperpage{69} - \subitem indefinite, \hyperpage{70} - \item \isa {dest} (attribute), \hyperpage{86} - \item destruction rules, \hyperpage{55} + \subitem definite, 69 + \subitem indefinite, 70 + \item \isa {dest} (attribute), 86 + \item destruction rules, 55 \item \isa {diff_mult_distrib} (theorem), \bold{133} \item difference \subitem of sets, \bold{90} \item \isa {disjCI} (theorem), \bold{58} \item \isa {disjE} (theorem), \bold{54} - \item \isa {div} (symbol), \hyperpage{20} - \item divides relation, \hyperpage{68}, \hyperpage{78}, - \hyperpage{85--87}, \hyperpage{134} + \item \isa {div} (symbol), 20 + \item divides relation, 68, 78, 85--87, 134 \item division - \subitem by negative numbers, \hyperpage{135} - \subitem by zero, \hyperpage{134} - \subitem for type \protect\isa{nat}, \hyperpage{133} + \subitem by negative numbers, 135 + \subitem by zero, 134 + \subitem for type \protect\isa{nat}, 133 \item domain - \subitem of a relation, \hyperpage{96} + \subitem of a relation, 96 \item \isa {Domain_iff} (theorem), \bold{96} - \item \isacommand {done} (command), \hyperpage{11} - \item \isa {drule_tac} (method), \hyperpage{60}, \hyperpage{80} + \item \isacommand {done} (command), 11 + \item \isa {drule_tac} (method), 60, 80 \item \isa {dvd_add} (theorem), \bold{134} \item \isa {dvd_anti_sym} (theorem), \bold{134} \item \isa {dvd_def} (theorem), \bold{134} \indexspace - \item \isa {elim!} (attribute), \hyperpage{115} - \item elimination rules, \hyperpage{53--54} - \item \isa {Eps} (constant), \hyperpage{93} + \item \isa {elim!} (attribute), 115 + \item elimination rules, 53--54 + \item \isa {Eps} (constant), 93 \item equality \subitem of functions, \bold{93} - \subitem of records, \hyperpage{143} + \subitem of records, 143 \subitem of sets, \bold{90} \item \isa {equalityE} (theorem), \bold{90} \item \isa {equalityI} (theorem), \bold{90} - \item \isa {erule} (method), \hyperpage{54} - \item \isa {erule_tac} (method), \hyperpage{60} - \item Euclid's algorithm, \hyperpage{85--87} + \item \isa {erule} (method), 54 + \item \isa {erule_tac} (method), 60 + \item Euclid's algorithm, 85--87 \item even numbers - \subitem defining inductively, \hyperpage{111--115} + \subitem defining inductively, 111--115 \item \texttt {EX}, \bold{189} - \item \isa {Ex} (constant), \hyperpage{93} + \item \isa {Ex} (constant), 93 \item \isa {exE} (theorem), \bold{66} \item \isa {exI} (theorem), \bold{66} \item \isa {ext} (theorem), \bold{93} \item extensionality \subitem for functions, \bold{93, 94} - \subitem for records, \hyperpage{143} + \subitem for records, 143 \subitem for sets, \bold{90} \item \ttEXU, \bold{189} \indexspace - \item \isa {False} (constant), \hyperpage{3} - \item \isa {fast} (method), \hyperpage{75, 76} - \item \isa {finite} (symbol), \hyperpage{93} - \item \isa {Finites} (constant), \hyperpage{93} - \item fixed points, \hyperpage{100} - \item flags, \hyperpage{3, 4}, \hyperpage{31} - \subitem setting and resetting, \hyperpage{3} - \item \isa {force} (method), \hyperpage{75, 76} + \item \isa {False} (constant), 3 + \item \isa {fast} (method), 75, 76 + \item \isa {finite} (symbol), 93 + \item \isa {Finites} (constant), 93 + \item fixed points, 100 + \item flags, 3, 4, 31 + \subitem setting and resetting, 3 + \item \isa {force} (method), 75, 76 \item formulae, \bold{3} - \item forward proof, \hyperpage{76--82} - \item \isa {frule} (method), \hyperpage{67} - \item \isa {frule_tac} (method), \hyperpage{60} - \item \isa {fst} (constant), \hyperpage{21} - \item functions, \hyperpage{93--95} - \subitem total, \hyperpage{9}, \hyperpage{45--50} - \subitem underdefined, \hyperpage{165} + \item forward proof, 76--82 + \item \isa {frule} (method), 67 + \item \isa {frule_tac} (method), 60 + \item \isa {fst} (constant), 21 + \item functions, 93--95 + \subitem total, 9, 45--50 + \subitem underdefined, 165 \indexspace - \item \isa {gcd} (constant), \hyperpage{76--78}, \hyperpage{85--87} - \item generalizing for induction, \hyperpage{113} + \item \isa {gcd} (constant), 76--78, 85--87 + \item generalizing for induction, 113 \item Girard, Jean-Yves, \fnote{55} - \item ground terms example, \hyperpage{119--124} + \item ground terms example, 119--124 \indexspace - \item \isa {hd} (constant), \hyperpage{15} + \item \isa {hd} (constant), 15 \item higher-order pattern, \bold{159} - \item Hilbert's $\varepsilon$-operator, \hyperpage{69--71} - \item \isa {hypreal} (type), \hyperpage{137} + \item Hilbert's $\varepsilon$-operator, 69--71 + \item \isa {hypreal} (type), 137 \indexspace @@ -266,9 +265,8 @@ \subitem qualified, \bold{2} \item identity function, \bold{94} \item identity relation, \bold{96} - \item \isa {if} (symbol), \bold{3}, \hyperpage{4} - \item \isa {iff} (attribute), \hyperpage{73, 74}, \hyperpage{86}, - \hyperpage{114} + \item \isa {if} (symbol), \bold{3}, 4 + \item \isa {iff} (attribute), 73, 74, 86, 114 \item \isa {iffD1} (theorem), \bold{78} \item \isa {iffD2} (theorem), \bold{78} \item image @@ -277,292 +275,282 @@ \item \isa {image_def} (theorem), \bold{95} \item \isa {Image_iff} (theorem), \bold{96} \item \isa {impI} (theorem), \bold{56} - \item implication, \hyperpage{56--57} - \item \isa {induct_tac} (method), \hyperpage{10}, \hyperpage{17}, - \hyperpage{50}, \hyperpage{172} - \item induction, \hyperpage{168--175} - \subitem recursion, \hyperpage{49--50} + \item implication, 56--57 + \item \isa {induct_tac} (method), 10, 17, 50, 172 + \item induction, 168--175 + \subitem recursion, 49--50 \subitem structural, \bold{17} - \subitem well-founded, \hyperpage{99} - \item \isacommand {inductive} (command), \hyperpage{111} + \subitem well-founded, 99 + \item \isacommand {inductive} (command), 111 \item inductive definition - \subitem simultaneous, \hyperpage{125} - \item inductive definitions, \hyperpage{111--129} - \item \isacommand {inductive\_cases} (command), \hyperpage{115}, - \hyperpage{123} - \item \isacommand{infixr} (annotation), \hyperpage{8} + \subitem simultaneous, 125 + \item inductive definitions, 111--129 + \item \isacommand {inductive\_cases} (command), 115, 123 + \item \isacommand{infixr} (annotation), 8 \item \isa {inj_on_def} (theorem), \bold{94} - \item injections, \hyperpage{94} + \item injections, 94 \item inner syntax, \bold{9} - \item \isa {insert} (constant), \hyperpage{91} - \item \isa {insert} (method), \hyperpage{80--82} + \item \isa {insert} (constant), 91 + \item \isa {insert} (method), 80--82 \item instance, \bold{145} \item \texttt {INT}, \bold{189} \item \texttt {Int}, \bold{189} - \item \isa {int} (type), \hyperpage{135} + \item \isa {int} (type), 135 \item \isa {INT_iff} (theorem), \bold{92} \item \isa {IntD1} (theorem), \bold{89} \item \isa {IntD2} (theorem), \bold{89} - \item integers, \hyperpage{135} - \item \isa {INTER} (constant), \hyperpage{93} + \item integers, 135 + \item \isa {INTER} (constant), 93 \item \texttt {Inter}, \bold{189} \item \isa {Inter_iff} (theorem), \bold{92} - \item intersection, \hyperpage{89} - \subitem indexed, \hyperpage{92} + \item intersection, 89 + \subitem indexed, 92 \item \isa {IntI} (theorem), \bold{89} - \item \isa {intro} (method), \hyperpage{58} - \item \isa {intro!} (attribute), \hyperpage{112} - \item introduction rules, \hyperpage{52--53} - \item \isa {inv} (constant), \hyperpage{70} + \item \isa {intro} (method), 58 + \item \isa {intro!} (attribute), 112 + \item introduction rules, 52--53 + \item \isa {inv} (constant), 70 \item \isa {inv_image_def} (theorem), \bold{99} \item inverse \subitem of a function, \bold{94} \subitem of a relation, \bold{96} \item inverse image - \subitem of a function, \hyperpage{95} - \subitem of a relation, \hyperpage{98} + \subitem of a function, 95 + \subitem of a relation, 98 \indexspace - \item \isacommand {kill} (command), \hyperpage{14} + \item \isacommand {kill} (command), 14 \indexspace - \item \isa {LEAST} (symbol), \hyperpage{21}, \hyperpage{69} + \item \isa {LEAST} (symbol), 21, 69 \item least number operator, \see{\protect\isa{LEAST}}{69} - \item \isacommand {lemma} (command), \hyperpage{11} - \item \isacommand {lemmas} (command), \hyperpage{77}, \hyperpage{86} - \item \isa {length} (symbol), \hyperpage{15} + \item \isacommand {lemma} (command), 11 + \item \isacommand {lemmas} (command), 77, 86 + \item \isa {length} (symbol), 15 \item \isa {length_induct}, \bold{172} - \item \isa {less_than} (constant), \hyperpage{98} + \item \isa {less_than} (constant), 98 \item \isa {less_than_iff} (theorem), \bold{98} - \item \isa {let} (symbol), \bold{3}, \hyperpage{4}, \hyperpage{29} + \item \isa {let} (symbol), \bold{3}, 4, 29 \item \isa {lex_prod_def} (theorem), \bold{99} - \item lexicographic product, \bold{99}, \hyperpage{160} + \item lexicographic product, \bold{99}, 160 \item {\texttt{lfp}} \subitem applications of, \see{CTL}{100} - \item linear arithmetic, \hyperpage{20--21}, \hyperpage{31}, - \hyperpage{131} - \item \isa {List} (theory), \hyperpage{15} - \item \isa {list} (type), \hyperpage{2}, \hyperpage{7}, - \hyperpage{15} + \item linear arithmetic, 20--21, 31, 131 + \item \isa {List} (theory), 15 + \item \isa {list} (type), 2, 7, 15 \item \isa {lists_mono} (theorem), \bold{121} - \item Lowe, Gavin, \hyperpage{178--179} + \item Lowe, Gavin, 178--179 \indexspace - \item \isa {Main} (theory), \hyperpage{2} + \item \isa {Main} (theory), 2 \item major premise, \bold{59} - \item \isa {max} (constant), \hyperpage{20, 21} + \item \isa {max} (constant), 20, 21 \item measure function, \bold{45}, \bold{98} \item \isa {measure_def} (theorem), \bold{99} \item meta-logic, \bold{64} \item methods, \bold{14} - \item \isa {min} (constant), \hyperpage{20, 21} - \item \isa {mod} (symbol), \hyperpage{20} + \item \isa {min} (constant), 20, 21 + \item \isa {mod} (symbol), 20 \item \isa {mod_div_equality} (theorem), \bold{133} \item \isa {mod_mult_distrib} (theorem), \bold{133} - \item \emph{modus ponens}, \hyperpage{51}, \hyperpage{56} + \item \emph{modus ponens}, 51, 56 \item \isa {mono_def} (theorem), \bold{100} - \item monotone functions, \bold{100}, \hyperpage{123} - \subitem and inductive definitions, \hyperpage{121--122} - \item \isa {more} (constant), \hyperpage{140--142} + \item monotone functions, \bold{100}, 123 + \subitem and inductive definitions, 121--122 + \item \isa {more} (constant), 140--142 \item \isa {mp} (theorem), \bold{56} \item multiset ordering, \bold{99} \indexspace - \item \isa {nat} (type), \hyperpage{2}, \hyperpage{20}, - \hyperpage{133--134} - \item natural deduction, \hyperpage{51--52} - \item natural numbers, \hyperpage{133--134} - \item Needham-Schroeder protocol, \hyperpage{177--179} - \item negation, \hyperpage{57--59} - \item \isa {Nil} (constant), \hyperpage{7} + \item \isa {nat} (type), 2, 20, 133--134 + \item natural deduction, 51--52 + \item natural numbers, 133--134 + \item Needham-Schroeder protocol, 177--179 + \item negation, 57--59 + \item \isa {Nil} (constant), 7 \item \isa {no_asm}, \bold{27} \item \isa {no_asm_simp}, \bold{27} \item \isa {no_asm_use}, \bold{28} - \item non-standard reals, \hyperpage{137} + \item non-standard reals, 137 \item \isa {None} (constant), \bold{22} \item \isa {notE} (theorem), \bold{57} \item \isa {notI} (theorem), \bold{57} - \item numeric literals, \hyperpage{132} - \subitem for type \protect\isa{nat}, \hyperpage{133} - \subitem for type \protect\isa{real}, \hyperpage{136} + \item numeric literals, 132 + \subitem for type \protect\isa{nat}, 133 + \subitem for type \protect\isa{real}, 136 \indexspace - \item \isa {O} (symbol), \hyperpage{96} + \item \isa {O} (symbol), 96 \item \texttt {o}, \bold{189} \item \isa {o_def} (theorem), \bold{94} - \item \isa {OF} (attribute), \hyperpage{78--79} - \item \isa {of} (attribute), \hyperpage{77}, \hyperpage{79} - \item \isacommand {oops} (command), \hyperpage{11} + \item \isa {OF} (attribute), 78--79 + \item \isa {of} (attribute), 77, 79 + \item \isacommand {oops} (command), 11 \item \isa {option} (type), \bold{22} \item ordered rewriting, \bold{158} \item outer syntax, \bold{9} - \item overloading, \hyperpage{144--146} - \subitem and arithmetic, \hyperpage{132} + \item overloading, 144--146 + \subitem and arithmetic, 132 \indexspace - \item pairs and tuples, \hyperpage{21}, \hyperpage{137--140} + \item pairs and tuples, 21, 137--140 \item parent theory, \bold{2} - \item partial function, \hyperpage{164} + \item partial function, 164 \item pattern, higher-order, \bold{159} - \item PDL, \hyperpage{102--105} + \item PDL, 102--105 \item permutative rewrite rule, \bold{158} - \item \isacommand {pr} (command), \hyperpage{14}, \hyperpage{83} - \item \isacommand {prefer} (command), \hyperpage{14}, \hyperpage{84} + \item \isacommand {pr} (command), 14, 83 + \item \isacommand {prefer} (command), 14, 84 \item primitive recursion, \see{\isacommand{primrec}}{1} - \item \isacommand {primrec} (command), \hyperpage{8}, \hyperpage{16}, - \hyperpage{36--42} + \item \isacommand {primrec} (command), 8, 16, 36--42 \item product type, \see{pairs and tuples}{1} \item Proof General, \bold{5} \item proofs \subitem abandoning, \bold{11} - \subitem examples of failing, \hyperpage{71--72} + \subitem examples of failing, 71--72 \item protocols - \subitem security, \hyperpage{177--187} + \subitem security, 177--187 \indexspace \item quantifiers - \subitem and inductive definitions, \hyperpage{119--121} - \subitem existential, \hyperpage{66} - \subitem for sets, \hyperpage{92} - \subitem instantiating, \hyperpage{68} - \subitem universal, \hyperpage{63--66} + \subitem and inductive definitions, 119--121 + \subitem existential, 66 + \subitem for sets, 92 + \subitem instantiating, 68 + \subitem universal, 63--66 \indexspace \item \isa {r_into_rtrancl} (theorem), \bold{96} \item \isa {r_into_trancl} (theorem), \bold{97} \item range - \subitem of a function, \hyperpage{95} - \subitem of a relation, \hyperpage{96} - \item \isa {range} (symbol), \hyperpage{95} + \subitem of a function, 95 + \subitem of a relation, 96 + \item \isa {range} (symbol), 95 \item \isa {Range_iff} (theorem), \bold{96} - \item \isa {Real} (theory), \hyperpage{137} - \item \isa {real} (type), \hyperpage{136--137} - \item real numbers, \hyperpage{136--137} - \item \isacommand {recdef} (command), \hyperpage{45--50}, - \hyperpage{98}, \hyperpage{160--168} - \subitem and numeric literals, \hyperpage{132} - \item \isa {recdef_cong} (attribute), \hyperpage{164} - \item \isa {recdef_simp} (attribute), \hyperpage{47} - \item \isa {recdef_wf} (attribute), \hyperpage{162} - \item \isacommand {record} (command), \hyperpage{140} - \item \isa {record_split} (method), \hyperpage{143} - \item records, \hyperpage{140--144} - \subitem extensible, \hyperpage{141--142} + \item \isa {Real} (theory), 137 + \item \isa {real} (type), 136--137 + \item real numbers, 136--137 + \item \isacommand {recdef} (command), 45--50, 98, 160--168 + \subitem and numeric literals, 132 + \item \isa {recdef_cong} (attribute), 164 + \item \isa {recdef_simp} (attribute), 47 + \item \isa {recdef_wf} (attribute), 162 + \item \isacommand {record} (command), 140 + \item \isa {record_split} (method), 143 + \item records, 140--144 + \subitem extensible, 141--142 \item recursion \subitem well-founded, \bold{161} - \item recursion induction, \hyperpage{49--50} - \item \isacommand {redo} (command), \hyperpage{14} - \item reflexive and transitive closure, \hyperpage{96--98} - \item relations, \hyperpage{95--98} - \subitem well-founded, \hyperpage{98--99} - \item \isa {rename_tac} (method), \hyperpage{66--67} - \item \isa {rev} (constant), \hyperpage{8} + \item recursion induction, 49--50 + \item \isacommand {redo} (command), 14 + \item reflexive and transitive closure, 96--98 + \item relations, 95--98 + \subitem well-founded, 98--99 + \item \isa {rename_tac} (method), 66--67 + \item \isa {rev} (constant), 8 \item rewrite rule, \bold{26} \subitem permutative, \bold{158} \item rewriting, \bold{26} \subitem ordered, \bold{158} - \item \isa {rotate_tac} (method), \hyperpage{28} + \item \isa {rotate_tac} (method), 28 \item \isa {rtrancl_refl} (theorem), \bold{96} \item \isa {rtrancl_trans} (theorem), \bold{96} - \item rule induction, \hyperpage{112--114} - \item rule inversion, \hyperpage{114--115}, \hyperpage{123--124} - \item \isa {rule_tac} (method), \hyperpage{60} - \subitem and renaming, \hyperpage{67} + \item rule induction, 112--114 + \item rule inversion, 114--115, 123--124 + \item \isa {rule_tac} (method), 60 + \subitem and renaming, 67 \indexspace - \item \isa {safe} (method), \hyperpage{75, 76} + \item \isa {safe} (method), 75, 76 \item safe rules, \bold{73} - \item \isa {set} (type), \hyperpage{2}, \hyperpage{89} - \item set comprehensions, \hyperpage{91--92} + \item \isa {set} (type), 2, 89 + \item set comprehensions, 91--92 \item \isa {set_ext} (theorem), \bold{90} - \item sets, \hyperpage{89--93} - \subitem finite, \hyperpage{93} + \item sets, 89--93 + \subitem finite, 93 \subitem notation for finite, \bold{91} \item settings, \see{flags}{1} - \item \isa {show_brackets} (flag), \hyperpage{4} - \item \isa {show_types} (flag), \hyperpage{3} - \item \texttt {show_types}, \hyperpage{14} - \item \isa {simp} (attribute), \bold{9}, \hyperpage{26} + \item \isa {show_brackets} (flag), 4 + \item \isa {show_types} (flag), 3 + \item \texttt {show_types}, 14 + \item \isa {simp} (attribute), \bold{9}, 26 \item \isa {simp} (method), \bold{26} - \item \isa {simp_all} (method), \hyperpage{26}, \hyperpage{36} - \item simplification, \hyperpage{25--32}, \hyperpage{157--160} - \subitem of let-expressions, \hyperpage{29} + \item \isa {simp_all} (method), 26, 36 + \item simplification, 25--32, 157--160 + \subitem of let-expressions, 29 \subitem ordered, \bold{158} - \subitem with definitions, \hyperpage{28} - \subitem with/of assumptions, \hyperpage{27} - \item simplification rule, \bold{26}, \hyperpage{159--160} - \item \isa {simplified} (attribute), \hyperpage{77}, \hyperpage{79} + \subitem with definitions, 28 + \subitem with/of assumptions, 27 + \item simplification rule, \bold{26}, 159--160 + \item \isa {simplified} (attribute), 77, 79 \item simplifier, \bold{25} - \item \isa {size} (constant), \hyperpage{15} - \item \isa {snd} (constant), \hyperpage{21} - \item \isa {SOME} (symbol), \hyperpage{69} + \item \isa {size} (constant), 15 + \item \isa {snd} (constant), 21 + \item \isa {SOME} (symbol), 69 \item \texttt {SOME}, \bold{189} \item \isa {Some} (constant), \bold{22} \item \isa {some_equality} (theorem), \bold{69} \item \isa {someI} (theorem), \bold{70} \item \isa {someI2} (theorem), \bold{70} \item \isa {someI_ex} (theorem), \bold{71} - \item sorts, \hyperpage{150} + \item sorts, 150 \item \isa {spec} (theorem), \bold{64} \item \isa {split} (constant), \bold{137} - \item \isa {split} (method, attr.), \hyperpage{29--31} + \item \isa {split} (method, attr.), 29--31 \item split rule, \bold{30} - \item \isa {split_if} (theorem), \hyperpage{30} + \item \isa {split_if} (theorem), 30 \item \isa {ssubst} (theorem), \bold{61} \item structural induction, \bold{17} - \item \isa {subgoal_tac} (method), \hyperpage{81, 82} + \item \isa {subgoal_tac} (method), 81, 82 \item subset relation, \bold{90} \item \isa {subsetD} (theorem), \bold{90} \item \isa {subsetI} (theorem), \bold{90} - \item \isa {subst} (method), \hyperpage{61} - \item substitution, \hyperpage{61--63} - \item \isa {Suc} (constant), \hyperpage{20} + \item \isa {subst} (method), 61 + \item substitution, 61--63 + \item \isa {Suc} (constant), 20 \item \isa {surj_def} (theorem), \bold{94} - \item surjections, \hyperpage{94} + \item surjections, 94 \item \isa {sym} (theorem), \bold{77} - \item syntax translations, \hyperpage{23--24} \indexspace - \item tacticals, \hyperpage{82--83} - \item tactics, \hyperpage{10} - \item \isacommand {term} (command), \hyperpage{14} + \item tacticals, 82--83 + \item tactics, 10 + \item \isacommand {term} (command), 14 \item term rewriting, \bold{26} \item termination, \see{functions, total}{1} - \item terms, \hyperpage{3} - \item \isa {THEN} (attribute), \bold{77}, \hyperpage{79}, - \hyperpage{86} - \item \isacommand {theorem} (command), \bold{9}, \hyperpage{11} - \item theories, \hyperpage{2} + \item terms, 3 + \item \isa {THEN} (attribute), \bold{77}, 79, 86 + \item \isacommand {theorem} (command), \bold{9}, 11 + \item theories, 2 \subitem abandoning, \bold{14} - \item theory files, \hyperpage{2} - \item \isacommand {thm} (command), \hyperpage{14} - \item \isa {tl} (constant), \hyperpage{15} - \item \isa {trace_simp} (flag), \hyperpage{31} + \item theory files, 2 + \item \isacommand {thm} (command), 14 + \item \isa {tl} (constant), 15 + \item \isa {trace_simp} (flag), 31 \item tracing the simplifier, \bold{31} \item \isa {trancl_trans} (theorem), \bold{97} - \item \isa {True} (constant), \hyperpage{3} + \item \isa {True} (constant), 3 \item tuples, \see{pairs and tuples}{1} - \item \isacommand {typ} (command), \hyperpage{14} + \item \isacommand {typ} (command), 14 \item type constraints, \bold{4} \item type inference, \bold{3} - \item type synonyms, \hyperpage{22--23} \item type variables, \bold{3} - \item \isacommand {typedecl} (command), \hyperpage{150} - \item \isacommand {typedef} (command), \hyperpage{151--155} - \item types, \hyperpage{2} - \subitem declaring, \hyperpage{150--151} - \subitem defining, \hyperpage{151--155} - \item \isacommand {types} (command), \hyperpage{22} + \item \isacommand {typedecl} (command), 150 + \item \isacommand {typedef} (command), 151--155 + \item types, 2 + \subitem declaring, 150--151 + \subitem defining, 151--155 + \item \isacommand {types} (command), 22 \indexspace @@ -572,15 +560,15 @@ \item \isa {UN_I} (theorem), \bold{92} \item \isa {UN_iff} (theorem), \bold{92} \item \isa {Un_subset_iff} (theorem), \bold{90} - \item \isacommand {undo} (command), \hyperpage{14} - \item unification, \hyperpage{60--63} - \item \isa {UNION} (constant), \hyperpage{93} + \item \isacommand {undo} (command), 14 + \item unification, 60--63 + \item \isa {UNION} (constant), 93 \item \texttt {Union}, \bold{189} \item union - \subitem indexed, \hyperpage{92} + \subitem indexed, 92 \item \isa {Union_iff} (theorem), \bold{92} - \item \isa {unit} (type), \hyperpage{22} - \item unknowns, \hyperpage{4}, \bold{52} + \item \isa {unit} (type), 22 + \item unknowns, 4, \bold{52} \item unsafe rules, \bold{73} \item updating a function, \bold{93} @@ -588,14 +576,14 @@ \item variable, \bold{4} \item variables - \subitem schematic, \hyperpage{4} + \subitem schematic, 4 \subitem type, \bold{3} \item \isa {vimage_def} (theorem), \bold{95} \indexspace \item \isa {wf_induct} (theorem), \bold{99} - \item \isa {while} (constant), \hyperpage{167} - \item \isa {While_Combinator} (theory), \hyperpage{167} + \item \isa {while} (constant), 167 + \item \isa {While_Combinator} (theory), 167 \end{theindex}