doc-src/Intro/intro.ind

index info;

\begin{theindex}

  \item {\ptt !!} symbol, 25
    \subitem in main goal, 46
  \item {\tt\%} symbol, 25
  \item {\ptt ::} symbol, 25
  \item {\ptt ==} symbol, 25
  \item {\ptt ==>} symbol, 25
  \item {\ptt =>} symbol, 25
  \item {\ptt =?=} symbol, 25
  \item {\ptt [} symbol, 25
  \item {\ptt [|} symbol, 25
  \item {\ptt ]} symbol, 25
  \item {\tt\ttlbrace} symbol, 25
  \item {\tt\ttrbrace} symbol, 25
  \item {\ptt |]} symbol, 25

  \indexspace

  \item {\ptt allI} theorem, 37
  \item arities
    \subitem declaring, 4, \bold{49}
  \item {\ptt asm_simp_tac}, 60
  \item {\ptt assume_tac}, 29, 31, 37, 47
  \item assumptions
    \subitem deleting, 20
    \subitem discharge of, 7
    \subitem lifting over, 14
    \subitem of main goal, 41
    \subitem use of, 16, 28
  \item axioms
    \subitem Peano, 54

  \indexspace

  \item {\ptt ba}, 30
  \item {\ptt back}, 59, 62
  \item backtracking
    \subitem Prolog style, 62
  \item {\ptt bd}, 30
  \item {\ptt be}, 30
  \item {\ptt br}, 30
  \item {\ptt by}, 30

  \indexspace

  \item {\ptt choplev}, 36, 37, 64
  \item classes, 3
    \subitem built-in, \bold{25}
  \item classical reasoner, 39
  \item {\ptt conjunct1} theorem, 27
  \item constants, 1
    \subitem clashes with variables, 9
    \subitem declaring, \bold{48}
    \subitem overloaded, 53
    \subitem polymorphic, 3

  \indexspace

  \item definitions, 6, \bold{48}
    \subitem and derived rules, 43--46
  \item {\ptt DEPTH_FIRST}, 64
  \item destruct-resolution, 22, 30
  \item {\ptt disjE} theorem, 31
  \item {\ptt dres_inst_tac}, 57
  \item {\ptt dresolve_tac}, 30, 32, 38

  \indexspace

  \item eigenvariables, \see{parameters}{8}
  \item elim-resolution, \bold{20}, 30
  \item equality
    \subitem polymorphic, 3
  \item {\ptt eres_inst_tac}, 57
  \item {\ptt eresolve_tac}, 30, 32, 38, 47
  \item examples
    \subitem of deriving rules, 41
    \subitem of induction, 57, 58
    \subitem of simplification, 59
    \subitem of tacticals, 37
    \subitem of theories, 48, 50--55, 61
    \subitem propositional, 17, 31, 32
    \subitem with quantifiers, 18, 33, 35, 37
  \item {\ptt exE} theorem, 38

  \indexspace

  \item {\ptt FalseE} theorem, 45
  \item {\ptt fast_tac}, 39
  \item first-order logic, 1
  \item flex-flex constraints, 6, 25, \bold{28}
  \item {\ptt flexflex_rule}, 28
  \item forward proof, 21, 24--30
  \item {\ptt fun} type, 1, 4
  \item function applications, 1, 8

  \indexspace

  \item {\ptt goal}, 30, 41, 46
  \item {\ptt goalw}, 44--46

  \indexspace

  \item {\ptt has_fewer_prems}, 64
  \item higher-order logic, 4

  \indexspace

  \item identifiers, 24
  \item {\ptt impI} theorem, 31, 44
  \item infixes, 52
  \item instantiation, 57--60
  \item Isabelle
    \subitem object-logics supported, i
    \subitem overview, i
    \subitem release history, i

  \indexspace

  \item $\lambda$-abstractions, 1, 8, 25
  \item $\lambda$-calculus, 1
  \item LCF, i
  \item LCF system, 15, 26
  \item level of a proof, 31
  \item lifting, \bold{14}
  \item {\ptt logic} class, 3, 6, 25

  \indexspace

  \item major premise, \bold{21}
  \item {\ptt Match} exception, 42
  \item meta-assumptions
    \subitem syntax of, 22
  \item meta-equality, \bold{5}, 25
  \item meta-implication, \bold{5}, 7, 25
  \item meta-quantifiers, \bold{5}, 8, 25
  \item meta-rewriting, 43
  \item mixfix declarations, 52, 53, 56
  \item ML, i
  \item {\ptt ML} section, 47
  \item {\ptt mp} theorem, 27

  \indexspace

  \item {\ptt Nat} theory, 55
  \item {\ptt nat} type, 1, 3
  \item {\ptt not_def} theorem, 44
  \item {\ptt notE} theorem, \bold{45}, 58
  \item {\ptt notI} theorem, \bold{44}, 58

  \indexspace

  \item {\ptt o} type, 1, 4
  \item {\ptt ORELSE}, 37
  \item overloading, \bold{4}, 53

  \indexspace

  \item parameters, \bold{8}, 33
    \subitem lifting over, 15
  \item {\ptt Prolog} theory, 61
  \item Prolog interpreter, \bold{60}
  \item proof state, 16
  \item proofs
    \subitem commands for, 30
  \item {\ptt PROP} symbol, 26
  \item {\ptt prop} type, 6, 25, 26
  \item {\ptt prth}, 27
  \item {\ptt prthq}, 27, 28
  \item {\ptt prths}, 27
  \item {\ptt Pure} theory, 47

  \indexspace

  \item quantifiers, 5, 8, 33

  \indexspace

  \item {\ptt read_instantiate}, 29
  \item {\ptt refl} theorem, 29
  \item {\ptt REPEAT}, 33, 37, 62, 64
  \item {\ptt res_inst_tac}, 57, 60
  \item reserved words, 24
  \item resolution, 10, \bold{12}
    \subitem in backward proof, 15
    \subitem with instantiation, 57
  \item {\ptt resolve_tac}, 30, 31, 46, 58
  \item {\ptt result}, 30, 42, 46
  \item {\ptt rewrite_goals_tac}, 44
  \item {\ptt rewrite_rule}, 45, 46
  \item {\ptt RL}, 29
  \item {\ptt RLN}, 29
  \item {\ptt RS}, 27, 29, 46
  \item {\ptt RSN}, 27, 29
  \item rules
    \subitem declaring, 48
    \subitem derived, 13, \bold{22}, 41, 43
    \subitem destruction, 21
    \subitem elimination, 21
    \subitem propositional, 6
    \subitem quantifier, 8

  \indexspace

  \item search
    \subitem depth-first, 63
  \item signatures, \bold{9}
  \item {\ptt simp_tac}, 60
  \item simplification, 59
  \item simplification sets, 59
  \item sort constraints, 25
  \item sorts, \bold{5}
  \item {\ptt spec} theorem, 28, 36, 37
  \item {\ptt standard}, 27
  \item substitution, \bold{8}
  \item {\ptt Suc_inject}, 58
  \item {\ptt Suc_neq_0}, 58
  \item syntax
    \subitem of types and terms, 25

  \indexspace

  \item tacticals, \bold{19}, 37
  \item tactics, \bold{19}
    \subitem assumption, 29
    \subitem resolution, 30
  \item {\ptt term} class, 3
  \item terms
    \subitem syntax of, 1, \bold{25}
  \item theorems
    \subitem basic operations on, \bold{26}
    \subitem printing of, 27
  \item theories, \bold{9}
    \subitem defining, 47--57
  \item {\ptt thm} ML type, 26
  \item {\ptt topthm}, 42
  \item {\ptt Trueprop} constant, 6, 7, 25
  \item type constraints, 25
  \item type constructors, 1
  \item type identifiers, 24
  \item type synonyms, \bold{51}
  \item types
    \subitem declaring, \bold{49}
    \subitem function, 1
    \subitem higher, \bold{5}
    \subitem polymorphic, \bold{3}
    \subitem simple, \bold{1}
    \subitem syntax of, 1, \bold{25}

  \indexspace

  \item {\ptt undo}, 30
  \item unification
    \subitem higher-order, \bold{11}, 58
    \subitem incompleteness of, 11
  \item unknowns, 10, 24, 33
    \subitem function, \bold{11}, 28, 33
  \item {\ptt use_thy}, \bold{47}

  \indexspace

  \item variables
    \subitem bound, 8

\end{theindex}