105
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\begin{theindex}
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3096
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3 |
\item {\tt !!} symbol, 25
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4 |
\subitem in main goal, 46
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5 |
\item {\tt\%} symbol, 25
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6 |
\item {\tt ::} symbol, 25
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7 |
\item {\tt ==} symbol, 25
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\item {\tt ==>} symbol, 25
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\item {\tt =>} symbol, 25
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10 |
\item {\tt =?=} symbol, 25
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11 |
\item {\tt [} symbol, 25
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\item {\tt [|} symbol, 25
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\item {\tt ]} symbol, 25
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14 |
\item {\tt\ttlbrace} symbol, 25
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15 |
\item {\tt\ttrbrace} symbol, 25
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\item {\tt |]} symbol, 25
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105
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17 |
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18 |
\indexspace
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19 |
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3096
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20 |
\item {\tt allI} theorem, 37
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359
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21 |
\item arities
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3096
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22 |
\subitem declaring, 4, \bold{49}
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3114
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23 |
\item {\tt Asm_simp_tac}, 60
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3104
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\item {\tt assume_tac}, 30, 32, 37, 47
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359
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\item assumptions
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3096
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26 |
\subitem deleting, 20
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359
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27 |
\subitem discharge of, 7
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3096
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\subitem lifting over, 14
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29 |
\subitem of main goal, 41
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\subitem use of, 16, 28
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359
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\item axioms
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3213
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\subitem Peano, 55
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105
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\indexspace
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3104
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\item {\tt ba}, 31
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3213
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\item {\tt back}, 59, 63
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359
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\item backtracking
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3096
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\subitem Prolog style, 62
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3104
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\item {\tt bd}, 31
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\item {\tt be}, 31
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3129
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\item {\tt Blast_tac}, 39
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3104
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\item {\tt br}, 31
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3096
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\item {\tt by}, 30
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105
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\indexspace
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47 |
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3213
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48 |
\item {\tt choplev}, 37, 65
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359
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\item classes, 3
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3096
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\subitem built-in, \bold{25}
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\item classical reasoner, 39
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3104
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\item {\tt conjunct1} theorem, 28
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\item constants, 3
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359
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\subitem clashes with variables, 9
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3096
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55 |
\subitem declaring, \bold{48}
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3213
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\subitem overloaded, 54
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359
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\subitem polymorphic, 3
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3104
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\item {\tt CPure} theory, 47
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359
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\indexspace
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3096
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\item definitions, 6, \bold{48}
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\subitem and derived rules, 43--46
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\item {\tt DEPTH_FIRST}, 64
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\item destruct-resolution, 22, 30
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\item {\tt disjE} theorem, 31
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\item {\tt dres_inst_tac}, 57
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3104
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\item {\tt dresolve_tac}, 30, 32, 33, 38
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105
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\indexspace
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3096
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\item eigenvariables, \see{parameters}{8}
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\item elim-resolution, \bold{20}, 30
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105
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\item equality
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359
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\subitem polymorphic, 3
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3096
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\item {\tt eres_inst_tac}, 57
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\item {\tt eresolve_tac}, 30, 32, 33, 39, 47
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105
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\item examples
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3096
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\subitem of deriving rules, 41
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\subitem of induction, 57, 58
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3213
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\subitem of simplification, 60
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3096
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\subitem of tacticals, 37
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3213
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\subitem of theories, 48, 50--54, 56, 61
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3096
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\subitem propositional, 17, 31, 32
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3104
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\subitem with quantifiers, 18, 34, 35, 38
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3096
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\item {\tt exE} theorem, 38
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105
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\indexspace
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3096
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\item {\tt FalseE} theorem, 45
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359
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\item first-order logic, 1
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3096
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\item flex-flex constraints, 6, 25, \bold{28}
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3104
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\item {\tt flexflex_rule}, 29
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3096
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\item forward proof, 21, 24--30
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\item {\tt fun} type, 1, 4
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\item function applications, 1, 8
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105
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\indexspace
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3096
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\item {\tt goal}, 30, 41, 46
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\item {\tt goalw}, 44--46
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359
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\indexspace
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3096
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\item {\tt has_fewer_prems}, 64
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359
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\item higher-order logic, 4
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\indexspace
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3096
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\item identifiers, 24
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\item {\tt impI} theorem, 31, 44
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\item infixes, 52
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\item instantiation, 57--60
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105
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\item Isabelle
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\subitem object-logics supported, i
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\subitem overview, i
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\subitem release history, i
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\indexspace
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\item $\lambda$-abstractions, 1, 8, 25
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359
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\item $\lambda$-calculus, 1
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\item LCF, i
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3104
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\item LCF system, 15, 27
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3096
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\item level of a proof, 31
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\item lifting, \bold{14}
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\item {\tt logic} class, 3, 6, 25
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\indexspace
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3096
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\item major premise, \bold{21}
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\item {\tt Match} exception, 42
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359
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\item meta-assumptions
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3096
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\subitem syntax of, 22
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\item meta-equality, \bold{5}, 25
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\item meta-implication, \bold{5}, 7, 25
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\item meta-quantifiers, \bold{5}, 8, 25
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\item meta-rewriting, 43
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\item mixfix declarations, 52, 53, 56
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359
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\item ML, i
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3096
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\item {\tt ML} section, 47
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3104
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\item {\tt mp} theorem, 27, 28
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105
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\indexspace
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3213
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\item {\tt Nat} theory, 56
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3104
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\item {\tt nat} type, 3
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3096
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\item {\tt not_def} theorem, 44
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3213
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\item {\tt notE} theorem, \bold{45}, 58
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\item {\tt notI} theorem, \bold{44}, 58
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\indexspace
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3104
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\item {\tt o} type, 3, 4
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\item {\tt ORELSE}, 38
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3096
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\item overloading, \bold{4}, 53
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\indexspace
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3104
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\item parameters, \bold{8}, 34
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3096
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\subitem lifting over, 15
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\item {\tt Prolog} theory, 61
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3213
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\item Prolog interpreter, \bold{61}
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3096
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\item proof state, 16
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359
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\item proofs
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3096
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\subitem commands for, 30
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\item {\tt PROP} symbol, 26
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\item {\tt prop} type, 6, 25, 26
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\item {\tt prth}, 27
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3104
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\item {\tt prthq}, 27, 29
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3096
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\item {\tt prths}, 27
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\item {\tt Pure} theory, 47
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359
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\indexspace
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3104
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\item {\tt qed}, 31, 42, 46
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\item quantifiers, 5, 8, 34
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\indexspace
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3096
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\item {\tt read_instantiate}, 29
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\item {\tt refl} theorem, 29
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3104
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\item {\tt REPEAT}, 33, 38, 62, 64
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3213
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\item {\tt res_inst_tac}, 57, 60
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3096
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\item reserved words, 24
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\item resolution, 10, \bold{12}
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359
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\subitem in backward proof, 15
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3096
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\subitem with instantiation, 57
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\item {\tt resolve_tac}, 30, 31, 46, 58
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3104
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\item {\tt result}, 31
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3096
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\item {\tt rewrite_goals_tac}, 44
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\item {\tt rewrite_rule}, 45, 46
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\item {\tt RL}, 29
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\item {\tt RLN}, 29
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\item {\tt RS}, 27, 29, 46
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\item {\tt RSN}, 27, 29
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105
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\item rules
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3096
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\subitem declaring, 48
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\subitem derived, 13, \bold{22}, 41, 43
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\subitem destruction, 21
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\subitem elimination, 21
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359
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\subitem propositional, 6
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3096
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\subitem quantifier, 8
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105
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\indexspace
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\item search
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3096
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\subitem depth-first, 63
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\item signatures, \bold{9}
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3114
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\item {\tt Simp_tac}, 60
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3213
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\item simplification, 60
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\item simplification sets, 60
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3096
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\item sort constraints, 25
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\item sorts, \bold{5}
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\item {\tt spec} theorem, 28, 36, 37
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\item {\tt standard}, 27
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\item substitution, \bold{8}
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\item {\tt Suc_inject}, 58
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\item {\tt Suc_neq_0}, 58
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359
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\item syntax
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3096
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221 |
\subitem of types and terms, 25
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105
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223 |
\indexspace
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3096
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\item tacticals, \bold{19}, 37
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\item tactics, \bold{19}
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3104
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227 |
\subitem assumption, 30
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3096
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\subitem resolution, 30
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229 |
\item {\tt term} class, 3
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105
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\item terms
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3096
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231 |
\subitem syntax of, 1, \bold{25}
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105
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\item theorems
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3104
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\subitem basic operations on, \bold{27}
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3096
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\subitem printing of, 27
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\item theories, \bold{9}
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3213
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\subitem defining, 47--57
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3104
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\item {\tt thm} ML type, 27
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3096
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238 |
\item {\tt topthm}, 42
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\item {\tt Trueprop} constant, 6, 7, 25
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\item type constraints, 25
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359
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\item type constructors, 1
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3096
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\item type identifiers, 24
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\item type synonyms, \bold{51}
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359
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244 |
\item types
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3096
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245 |
\subitem declaring, \bold{49}
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359
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246 |
\subitem function, 1
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247 |
\subitem higher, \bold{5}
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105
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\subitem polymorphic, \bold{3}
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\subitem simple, \bold{1}
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3096
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\subitem syntax of, 1, \bold{25}
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105
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\indexspace
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3096
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\item {\tt undo}, 30
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105
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255 |
\item unification
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3096
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256 |
\subitem higher-order, \bold{11}, 58
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359
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\subitem incompleteness of, 11
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3104
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\item unknowns, 10, 24, 34
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\subitem function, \bold{11}, 28, 34
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\item {\tt use_thy}, \bold{47, 48}
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105
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262 |
\indexspace
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263 |
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264 |
\item variables
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3096
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\subitem bound, 8
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105
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\end{theindex}
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