# HG changeset patch # User paulson # Date 868012560 -7200 # Node ID 807549666b9c81ac6e151d34fa2e06bf815b8162 # Parent 122e80826c95a3f6181101dea66d63b1885307a2 Automatic update diff -r 122e80826c95 -r 807549666b9c doc-src/Logics/logics.ind --- a/doc-src/Logics/logics.ind Fri Jul 04 12:32:31 1997 +0200 +++ b/doc-src/Logics/logics.ind Fri Jul 04 12:36:00 1997 +0200 @@ -3,62 +3,62 @@ \item {\tt !} symbol, 60, 62, 69, 70 \item {\tt[]} symbol, 81 \item {\tt\#} symbol, 81 - \item {\tt\#*} symbol, 47, 124 - \item {\tt\#+} symbol, 47, 124 + \item {\tt\#*} symbol, 47, 127 + \item {\tt\#+} symbol, 47, 127 \item {\tt\#-} symbol, 47 - \item {\tt\&} symbol, 7, 60, 101 - \item {\tt *} symbol, 26, 61, 78, 115 + \item {\tt\&} symbol, 7, 60, 104 + \item {\tt *} symbol, 26, 61, 78, 118 \item {\tt *} type, 76 - \item {\tt +} symbol, 43, 61, 78, 115 + \item {\tt +} symbol, 43, 61, 78, 118 \item {\tt +} type, 76 - \item {\tt -} symbol, 25, 61, 78, 124 - \item {\tt -->} symbol, 7, 60, 101, 115 + \item {\tt -} symbol, 25, 61, 78, 127 + \item {\tt -->} symbol, 7, 60, 104, 118 \item {\tt ->} symbol, 26 \item {\tt -``} symbol, 25 \item {\tt :} symbol, 25, 68 \item {\tt <} constant, 79 \item {\tt <} symbol, 78 - \item {\tt <->} symbol, 7, 101 + \item {\tt <->} symbol, 7, 104 \item {\tt <=} constant, 79 \item {\tt <=} symbol, 25, 68 - \item {\tt =} symbol, 7, 60, 101, 115 + \item {\tt =} symbol, 7, 60, 104, 118 \item {\tt ?} symbol, 60, 62, 69, 70 \item {\tt ?!} symbol, 60 \item {\tt\at} symbol, 60, 81 - \item {\tt `} symbol, 25, 115 + \item {\tt `} symbol, 25, 118 \item {\tt ``} symbol, 25, 68 \item \verb'{}' symbol, 68 - \item {\tt |} symbol, 7, 60, 101 - \item {\tt |-|} symbol, 124 + \item {\tt |} symbol, 7, 60, 104 + \item {\tt |-|} symbol, 127 \indexspace - \item {\tt 0} constant, 25, 78, 113 + \item {\tt 0} constant, 25, 78, 116 \indexspace - \item {\tt absdiff_def} theorem, 124 - \item {\tt add_assoc} theorem, 124 - \item {\tt add_commute} theorem, 124 - \item {\tt add_def} theorem, 47, 124 - \item {\tt add_inverse_diff} theorem, 124 - \item {\tt add_mp_tac}, \bold{122} - \item {\tt add_mult_dist} theorem, 47, 124 - \item {\tt add_safes}, \bold{107} - \item {\tt add_typing} theorem, 124 - \item {\tt add_unsafes}, \bold{107} - \item {\tt addC0} theorem, 124 - \item {\tt addC_succ} theorem, 124 - \item {\tt ALL} symbol, 7, 26, 60, 62, 69, 70, 101 - \item {\tt All} constant, 7, 60, 101 + \item {\tt absdiff_def} theorem, 127 + \item {\tt add_assoc} theorem, 127 + \item {\tt add_commute} theorem, 127 + \item {\tt add_def} theorem, 47, 127 + \item {\tt add_inverse_diff} theorem, 127 + \item {\tt add_mp_tac}, \bold{125} + \item {\tt add_mult_dist} theorem, 47, 127 + \item {\tt add_safes}, \bold{110} + \item {\tt add_typing} theorem, 127 + \item {\tt add_unsafes}, \bold{110} + \item {\tt addC0} theorem, 127 + \item {\tt addC_succ} theorem, 127 + \item {\tt ALL} symbol, 7, 26, 60, 62, 69, 70, 104 + \item {\tt All} constant, 7, 60, 104 \item {\tt All_def} theorem, 64 \item {\tt all_dupE} theorem, 5, 9, 66 \item {\tt all_impE} theorem, 9 \item {\tt allE} theorem, 5, 9, 66 \item {\tt allI} theorem, 8, 66 - \item {\tt allL} theorem, 103, 106 - \item {\tt allL_thin} theorem, 104 - \item {\tt allR} theorem, 103 + \item {\tt allL} theorem, 106, 109 + \item {\tt allL_thin} theorem, 107 + \item {\tt allR} theorem, 106 \item {\tt and_def} theorem, 42, 64 \item {\tt app_def} theorem, 49 \item {\tt apply_def} theorem, 31 @@ -68,10 +68,10 @@ \item {\tt apply_Pair} theorem, 39, 57 \item {\tt apply_type} theorem, 39 \item {\tt arg_cong} theorem, 65 - \item {\tt Arith} theory, 46, 79, 123 + \item {\tt Arith} theory, 46, 79, 126 \item assumptions \subitem contradictory, 16 - \subitem in {\CTT}, 112, 122 + \subitem in {\CTT}, 115, 125 \indexspace @@ -80,9 +80,9 @@ \item {\tt Ball_def} theorem, 30, 71 \item {\tt ballE} theorem, 32, 33, 72 \item {\tt ballI} theorem, 33, 72 - \item {\tt basic} theorem, 103 - \item {\tt basic_defs}, \bold{120} - \item {\tt best_tac}, \bold{108} + \item {\tt basic} theorem, 106 + \item {\tt basic_defs}, \bold{123} + \item {\tt best_tac}, \bold{111} \item {\tt beta} theorem, 39, 40 \item {\tt Bex} constant, 25, 29, 68, 70 \item {\tt bex_cong} theorem, 32, 33 @@ -98,7 +98,7 @@ \item {\tt blast_tac}, 18, 20, 21 \item {\tt bnd_mono_def} theorem, 44 \item {\tt Bool} theory, 40 - \item {\tt bool} type, 61 + \item {\textit {bool}} type, 61 \item {\tt bool_0I} theorem, 42 \item {\tt bool_1I} theorem, 42 \item {\tt bool_def} theorem, 42 @@ -118,23 +118,23 @@ \item {\tt ccontr} theorem, 66 \item {\tt classical} theorem, 66 \item {\tt coinduct} theorem, 44 - \item {\tt coinductive}, 92--95 + \item {\tt coinductive}, 95--98 \item {\tt Collect} constant, 25, 26, 29, 68, 70 \item {\tt Collect_def} theorem, 30 \item {\tt Collect_mem_eq} theorem, 70, 71 \item {\tt Collect_subset} theorem, 36 - \item {\tt CollectD} theorem, 72, 98 + \item {\tt CollectD} theorem, 72, 101 \item {\tt CollectD1} theorem, 32, 34 \item {\tt CollectD2} theorem, 32, 34 \item {\tt CollectE} theorem, 32, 34, 72 - \item {\tt CollectI} theorem, 34, 72, 98 + \item {\tt CollectI} theorem, 34, 72, 101 \item {\tt comp_assoc} theorem, 45 \item {\tt comp_bij} theorem, 45 \item {\tt comp_def} theorem, 45 \item {\tt comp_func} theorem, 45 \item {\tt comp_func_apply} theorem, 45 \item {\tt comp_inj} theorem, 45 - \item {\tt comp_rls}, \bold{120} + \item {\tt comp_rls}, \bold{123} \item {\tt comp_surj} theorem, 45 \item {\tt comp_type} theorem, 45 \item {\tt Compl} constant, 68 @@ -155,12 +155,12 @@ \item {\tt conj_impE} theorem, 9, 10 \item {\tt conjE} theorem, 9, 65 \item {\tt conjI} theorem, 8, 65 - \item {\tt conjL} theorem, 103 - \item {\tt conjR} theorem, 103 + \item {\tt conjL} theorem, 106 + \item {\tt conjR} theorem, 106 \item {\tt conjunct1} theorem, 8, 65 \item {\tt conjunct2} theorem, 8, 65 - \item {\tt conL} theorem, 104 - \item {\tt conR} theorem, 104 + \item {\tt conL} theorem, 107 + \item {\tt conR} theorem, 107 \item {\tt cons} constant, 25, 26 \item {\tt cons_def} theorem, 31 \item {\tt Cons_iff} theorem, 49 @@ -169,37 +169,37 @@ \item {\tt ConsI} theorem, 49 \item {\tt consI1} theorem, 35 \item {\tt consI2} theorem, 35 - \item Constructive Type Theory, 112--134 - \item {\tt contr} constant, 113 + \item Constructive Type Theory, 115--137 + \item {\tt contr} constant, 116 \item {\tt converse} constant, 25, 39 \item {\tt converse_def} theorem, 31 - \item {\tt could_res}, \bold{105} - \item {\tt could_resolve_seq}, \bold{106} - \item {\tt CTT} theory, 1, 112 + \item {\tt could_res}, \bold{108} + \item {\tt could_resolve_seq}, \bold{109} + \item {\tt CTT} theory, 1, 115 \item {\tt Cube} theory, 1 - \item {\tt cut} theorem, 103 + \item {\tt cut} theorem, 106 \item {\tt cut_facts_tac}, 18, 19, 56 - \item {\tt cutL_tac}, \bold{105} - \item {\tt cutR_tac}, \bold{105} + \item {\tt cutL_tac}, \bold{108} + \item {\tt cutR_tac}, \bold{108} \indexspace - \item {\tt datatype}, 85--92 + \item {\tt datatype}, 85--90 \item {\tt deepen_tac}, 16 - \item {\tt diff_0_eq_0} theorem, 124 + \item {\tt diff_0_eq_0} theorem, 127 \item {\tt Diff_cancel} theorem, 41 \item {\tt Diff_contains} theorem, 36 \item {\tt Diff_def} theorem, 30 - \item {\tt diff_def} theorem, 47, 124 + \item {\tt diff_def} theorem, 47, 127 \item {\tt Diff_disjoint} theorem, 41 \item {\tt Diff_Int} theorem, 41 \item {\tt Diff_partition} theorem, 41 - \item {\tt diff_self_eq_0} theorem, 124 + \item {\tt diff_self_eq_0} theorem, 127 \item {\tt Diff_subset} theorem, 36 - \item {\tt diff_succ_succ} theorem, 124 - \item {\tt diff_typing} theorem, 124 + \item {\tt diff_succ_succ} theorem, 127 + \item {\tt diff_typing} theorem, 127 \item {\tt Diff_Un} theorem, 41 - \item {\tt diffC0} theorem, 124 + \item {\tt diffC0} theorem, 127 \item {\tt DiffD1} theorem, 35 \item {\tt DiffD2} theorem, 35 \item {\tt DiffE} theorem, 35 @@ -209,12 +209,13 @@ \item {\tt disjE} theorem, 8, 65 \item {\tt disjI1} theorem, 8, 65 \item {\tt disjI2} theorem, 8, 65 - \item {\tt disjL} theorem, 103 - \item {\tt disjR} theorem, 103 - \item {\tt div} symbol, 47, 78, 124 - \item {\tt div_def} theorem, 47, 124 + \item {\tt disjL} theorem, 106 + \item {\tt disjR} theorem, 106 + \item {\tt div} symbol, 47, 78, 127 + \item {\tt div_def} theorem, 47, 127 \item {\tt div_geq} theorem, 79 \item {\tt div_less} theorem, 79 + \item {\tt Divides} theory, 79 \item {\tt domain} constant, 25, 39 \item {\tt domain_def} theorem, 31 \item {\tt domain_of_fun} theorem, 39 @@ -229,28 +230,28 @@ \indexspace - \item {\tt Elem} constant, 113 - \item {\tt elim_rls}, \bold{120} - \item {\tt elimL_rls}, \bold{120} + \item {\tt Elem} constant, 116 + \item {\tt elim_rls}, \bold{123} + \item {\tt elimL_rls}, \bold{123} \item {\tt empty_def} theorem, 71 - \item {\tt empty_pack}, \bold{106} + \item {\tt empty_pack}, \bold{109} \item {\tt empty_subsetI} theorem, 33 \item {\tt emptyE} theorem, 33, 73 \item {\tt Eps} constant, 60, 62 - \item {\tt Eq} constant, 113 - \item {\tt eq} constant, 113, 118 + \item {\tt Eq} constant, 116 + \item {\tt eq} constant, 116, 121 \item {\tt eq_mp_tac}, \bold{10} - \item {\tt EqC} theorem, 119 - \item {\tt EqE} theorem, 119 - \item {\tt Eqelem} constant, 113 - \item {\tt EqF} theorem, 119 - \item {\tt EqFL} theorem, 119 - \item {\tt EqI} theorem, 119 - \item {\tt Eqtype} constant, 113 - \item {\tt equal_tac}, \bold{121} - \item {\tt equal_types} theorem, 116 - \item {\tt equal_typesL} theorem, 116 - \item {\tt equalityCE} theorem, 70, 72, 98 + \item {\tt EqC} theorem, 122 + \item {\tt EqE} theorem, 122 + \item {\tt Eqelem} constant, 116 + \item {\tt EqF} theorem, 122 + \item {\tt EqFL} theorem, 122 + \item {\tt EqI} theorem, 122 + \item {\tt Eqtype} constant, 116 + \item {\tt equal_tac}, \bold{124} + \item {\tt equal_types} theorem, 119 + \item {\tt equal_typesL} theorem, 119 + \item {\tt equalityCE} theorem, 70, 72, 101, 102 \item {\tt equalityD1} theorem, 33, 72 \item {\tt equalityD2} theorem, 33, 72 \item {\tt equalityE} theorem, 33, 72 @@ -259,8 +260,8 @@ \item {\tt equals0I} theorem, 33 \item {\tt eresolve_tac}, 16 \item {\tt eta} theorem, 39, 40 - \item {\tt EX} symbol, 7, 26, 60, 62, 69, 70, 101 - \item {\tt Ex} constant, 7, 60, 101 + \item {\tt EX} symbol, 7, 26, 60, 62, 69, 70, 104 + \item {\tt Ex} constant, 7, 60, 104 \item {\tt EX!} symbol, 7, 60 \item {\tt Ex1} constant, 7, 60 \item {\tt Ex1_def} theorem, 64 @@ -274,27 +275,27 @@ \item {\tt exE} theorem, 8, 66 \item {\tt exhaust_tac}, \bold{88} \item {\tt exI} theorem, 8, 66 - \item {\tt exL} theorem, 103 - \item {\tt Exp} theory, 96 + \item {\tt exL} theorem, 106 + \item {\tt Exp} theory, 99 \item {\tt expand_if} theorem, 66 \item {\tt expand_split} theorem, 76 \item {\tt expand_sum_case} theorem, 78 - \item {\tt exR} theorem, 103, 106, 108 - \item {\tt exR_thin} theorem, 104, 108, 109 + \item {\tt exR} theorem, 106, 109, 111 + \item {\tt exR_thin} theorem, 107, 111, 112 \item {\tt ext} theorem, 63, 64 \item {\tt extension} theorem, 30 \indexspace - \item {\tt F} constant, 113 - \item {\tt False} constant, 7, 60, 101 + \item {\tt F} constant, 116 + \item {\tt False} constant, 7, 60, 104 \item {\tt False_def} theorem, 64 \item {\tt FalseE} theorem, 8, 65 - \item {\tt FalseL} theorem, 103 - \item {\tt fast_tac}, \bold{108} - \item {\tt FE} theorem, 119, 123 - \item {\tt FEL} theorem, 119 - \item {\tt FF} theorem, 119 + \item {\tt FalseL} theorem, 106 + \item {\tt fast_tac}, \bold{111} + \item {\tt FE} theorem, 122, 126 + \item {\tt FEL} theorem, 122 + \item {\tt FF} theorem, 122 \item {\tt field} constant, 25 \item {\tt field_def} theorem, 31 \item {\tt field_subset} theorem, 38 @@ -302,8 +303,8 @@ \item {\tt fieldE} theorem, 38 \item {\tt fieldI1} theorem, 38 \item {\tt fieldI2} theorem, 38 - \item {\tt filseq_resolve_tac}, \bold{106} - \item {\tt filt_resolve_tac}, 106, 121 + \item {\tt filseq_resolve_tac}, \bold{109} + \item {\tt filt_resolve_tac}, 109, 124 \item {\tt filter} constant, 81 \item {\tt Fin.consI} theorem, 48 \item {\tt Fin.emptyI} theorem, 48 @@ -316,20 +317,20 @@ \item {\tt Fixedpt} theory, 42 \item {\tt flat} constant, 49 \item {\tt flat_def} theorem, 49 - \item flex-flex constraints, 100 - \item {\tt FOL} theory, 1, 5, 11, 122 + \item flex-flex constraints, 103 + \item {\tt FOL} theory, 1, 5, 11, 125 \item {\tt FOL_cs}, \bold{11} \item {\tt FOL_ss}, \bold{6} \item {\tt foldl} constant, 81 - \item {\tt form_rls}, \bold{120} - \item {\tt formL_rls}, \bold{120} - \item {\tt forms_of_seq}, \bold{105} + \item {\tt form_rls}, \bold{123} + \item {\tt formL_rls}, \bold{123} + \item {\tt forms_of_seq}, \bold{108} \item {\tt foundation} theorem, 30 - \item {\tt fst} constant, 25, 29, 76, 113, 118 + \item {\tt fst} constant, 25, 32, 76, 116, 121 \item {\tt fst_conv} theorem, 37, 76 - \item {\tt fst_def} theorem, 31, 118 + \item {\tt fst_def} theorem, 31, 121 \item {\tt Fun} theory, 75 - \item {\tt fun} type, 61 + \item {\textit {fun}} type, 61 \item {\tt fun_cong} theorem, 65 \item {\tt fun_disjoint_apply1} theorem, 40, 56 \item {\tt fun_disjoint_apply2} theorem, 40 @@ -339,7 +340,7 @@ \item {\tt fun_is_rel} theorem, 39 \item {\tt fun_single} theorem, 40 \item function applications - \subitem in \CTT, 115 + \subitem in \CTT, 118 \subitem in \ZF, 25 \indexspace @@ -355,7 +356,7 @@ \indexspace \item {\tt hd} constant, 81 - \item higher-order logic, 59--99 + \item higher-order logic, 59--102 \item {\tt HOL} theory, 1, 59 \item {\sc hol} system, 59, 62 \item {\tt HOL_basic_ss}, \bold{75} @@ -363,12 +364,12 @@ \item {\tt HOL_quantifiers}, \bold{62}, 70 \item {\tt HOL_ss}, \bold{75} \item {\tt HOLCF} theory, 1 - \item {\tt hyp_rew_tac}, \bold{122} + \item {\tt hyp_rew_tac}, \bold{125} \item {\tt hyp_subst_tac}, 6, 75 \indexspace - \item {\tt i} type, 24, 112 + \item {\textit {i}} type, 24, 115 \item {\tt id} constant, 45 \item {\tt id_def} theorem, 45 \item {\tt If} constant, 60 @@ -378,15 +379,15 @@ \item {\tt if_P} theorem, 35, 66 \item {\tt ifE} theorem, 19 \item {\tt iff} theorem, 63, 64 - \item {\tt iff_def} theorem, 8, 103 + \item {\tt iff_def} theorem, 8, 106 \item {\tt iff_impE} theorem, 9 \item {\tt iffCE} theorem, 11, 66, 70 \item {\tt iffD1} theorem, 9, 65 \item {\tt iffD2} theorem, 9, 65 \item {\tt iffE} theorem, 9, 65 \item {\tt iffI} theorem, 9, 19, 65 - \item {\tt iffL} theorem, 104, 110 - \item {\tt iffR} theorem, 104 + \item {\tt iffL} theorem, 107, 113 + \item {\tt iffR} theorem, 107 \item {\tt ifI} theorem, 19 \item {\tt IFOL} theory, 5 \item {\tt IFOL_ss}, \bold{6} @@ -397,13 +398,13 @@ \item {\tt impCE} theorem, 11, 66 \item {\tt impE} theorem, 9, 10, 65 \item {\tt impI} theorem, 8, 63 - \item {\tt impL} theorem, 103 - \item {\tt impR} theorem, 103 + \item {\tt impL} theorem, 106 + \item {\tt impR} theorem, 106 \item {\tt in} symbol, 27, 61 - \item {\tt ind} type, 79 + \item {\textit {ind}} type, 79 \item {\tt induct} theorem, 44 \item {\tt induct_tac}, 80, \bold{88} - \item {\tt inductive}, 92--95 + \item {\tt inductive}, 95--98 \item {\tt Inf} constant, 25, 29 \item {\tt infinity} theorem, 31 \item {\tt inj} constant, 45, 75 @@ -415,13 +416,13 @@ \item {\tt inj_onto_def} theorem, 75 \item {\tt inj_Suc} theorem, 78 \item {\tt Inl} constant, 43, 78 - \item {\tt inl} constant, 113, 118, 128 + \item {\tt inl} constant, 116, 121, 131 \item {\tt Inl_def} theorem, 43 \item {\tt Inl_inject} theorem, 43 \item {\tt Inl_neq_Inr} theorem, 43 \item {\tt Inl_not_Inr} theorem, 78 \item {\tt Inr} constant, 43, 78 - \item {\tt inr} constant, 113, 118 + \item {\tt inr} constant, 116, 121 \item {\tt Inr_def} theorem, 43 \item {\tt Inr_inject} theorem, 43 \item {\tt insert} constant, 68 @@ -467,21 +468,21 @@ \item {\tt IntPr.safe_step_tac}, \bold{10} \item {\tt IntPr.safe_tac}, \bold{10} \item {\tt IntPr.step_tac}, \bold{10} - \item {\tt intr_rls}, \bold{120} - \item {\tt intr_tac}, \bold{121}, 130, 131 - \item {\tt intrL_rls}, \bold{120} + \item {\tt intr_rls}, \bold{123} + \item {\tt intr_tac}, \bold{124}, 133, 134 + \item {\tt intrL_rls}, \bold{123} \item {\tt inv} constant, 75 \item {\tt inv_def} theorem, 75 \indexspace - \item {\tt lam} symbol, 26, 28, 115 + \item {\tt lam} symbol, 26, 28, 118 \item {\tt lam_def} theorem, 31 \item {\tt lam_type} theorem, 39 - \item {\tt Lambda} constant, 25, 28 - \item {\tt lambda} constant, 113, 115 + \item {\tt Lambda} constant, 25, 29 + \item {\tt lambda} constant, 116, 118 \item $\lambda$-abstractions - \subitem in \CTT, 115 + \subitem in \CTT, 118 \subitem in \ZF, 26 \item {\tt lamE} theorem, 39, 40 \item {\tt lamI} theorem, 39, 40 @@ -499,7 +500,7 @@ \item {\tt Let} constant, 24, 25, 60, 63 \item {\tt let} symbol, 27, 61, 63 \item {\tt Let_def} theorem, 24, 30, 63, 64 - \item {\tt LFilter} theory, 96 + \item {\tt LFilter} theory, 99 \item {\tt lfp_def} theorem, 44 \item {\tt lfp_greatest} theorem, 44 \item {\tt lfp_lowerbound} theorem, 44 @@ -507,8 +508,9 @@ \item {\tt lfp_subset} theorem, 44 \item {\tt lfp_Tarski} theorem, 44 \item {\tt List} theory, 80, 81 + \item {\textit {list}} type, 99 + \item {\textit{list}} type, 80 \item {\tt list} constant, 49 - \item {\tt list} type, 80, 96 \item {\tt List.induct} theorem, 49 \item {\tt list_case} constant, 49 \item {\tt list_mono} theorem, 49 @@ -516,10 +518,10 @@ \item {\tt list_rec_Cons} theorem, 49 \item {\tt list_rec_def} theorem, 49 \item {\tt list_rec_Nil} theorem, 49 - \item {\tt LK} theory, 1, 100, 104 - \item {\tt LK_dup_pack}, \bold{106}, 108 - \item {\tt LK_pack}, \bold{106} - \item {\tt LList} theory, 96 + \item {\tt LK} theory, 1, 103, 107 + \item {\tt LK_dup_pack}, \bold{109}, 111 + \item {\tt LK_pack}, \bold{109} + \item {\tt LList} theory, 99 \item {\tt logic} class, 5 \indexspace @@ -538,32 +540,33 @@ \item {\tt mem_irrefl} theorem, 35 \item {\tt min} constant, 61, 79 \item {\tt minus} class, 61 - \item {\tt mod} symbol, 47, 78, 124 - \item {\tt mod_def} theorem, 47, 124 + \item {\tt mod} symbol, 47, 78, 127 + \item {\tt mod_def} theorem, 47, 127 \item {\tt mod_geq} theorem, 79 \item {\tt mod_less} theorem, 79 \item {\tt mod_quo_equality} theorem, 47 \item {\tt Modal} theory, 1 \item {\tt mono} constant, 61 \item {\tt mp} theorem, 8, 63 - \item {\tt mp_tac}, \bold{10}, \bold{122} + \item {\tt mp_tac}, \bold{10}, \bold{125} \item {\tt mult_0} theorem, 47 - \item {\tt mult_assoc} theorem, 47, 124 - \item {\tt mult_commute} theorem, 47, 124 - \item {\tt mult_def} theorem, 47, 124 + \item {\tt mult_assoc} theorem, 47, 127 + \item {\tt mult_commute} theorem, 47, 127 + \item {\tt mult_def} theorem, 47, 127 \item {\tt mult_succ} theorem, 47 \item {\tt mult_type} theorem, 47 - \item {\tt mult_typing} theorem, 124 - \item {\tt multC0} theorem, 124 - \item {\tt multC_succ} theorem, 124 + \item {\tt mult_typing} theorem, 127 + \item {\tt multC0} theorem, 127 + \item {\tt multC_succ} theorem, 127 \indexspace - \item {\tt N} constant, 113 + \item {\tt N} constant, 116 \item {\tt n_not_Suc_n} theorem, 78 \item {\tt Nat} theory, 46, 79 + \item {\textit {nat}} type, 78, 79, 88 + \item {\textit{nat}} type, 79--80 \item {\tt nat} constant, 47 - \item {\tt nat} type, 79 \item {\tt nat_0I} theorem, 47 \item {\tt nat_case} constant, 47 \item {\tt nat_case_0} theorem, 47 @@ -574,46 +577,46 @@ \item {\tt nat_rec} constant, 80 \item {\tt nat_succI} theorem, 47 \item {\tt NatDef} theory, 79 - \item {\tt NC0} theorem, 117 - \item {\tt NC_succ} theorem, 117 - \item {\tt NE} theorem, 116, 117, 125 - \item {\tt NEL} theorem, 117 - \item {\tt NF} theorem, 117, 126 - \item {\tt NI0} theorem, 117 - \item {\tt NI_succ} theorem, 117 - \item {\tt NI_succL} theorem, 117 + \item {\tt NC0} theorem, 120 + \item {\tt NC_succ} theorem, 120 + \item {\tt NE} theorem, 119, 120, 128 + \item {\tt NEL} theorem, 120 + \item {\tt NF} theorem, 120, 129 + \item {\tt NI0} theorem, 120 + \item {\tt NI_succ} theorem, 120 + \item {\tt NI_succL} theorem, 120 \item {\tt Nil_Cons_iff} theorem, 49 \item {\tt NilI} theorem, 49 - \item {\tt NIO} theorem, 125 - \item {\tt Not} constant, 7, 60, 101 + \item {\tt NIO} theorem, 128 + \item {\tt Not} constant, 7, 60, 104 \item {\tt not_def} theorem, 8, 42, 64 \item {\tt not_impE} theorem, 9 \item {\tt not_sym} theorem, 65 \item {\tt notE} theorem, 9, 10, 65 \item {\tt notI} theorem, 9, 65 - \item {\tt notL} theorem, 103 + \item {\tt notL} theorem, 106 \item {\tt notnotD} theorem, 11, 66 - \item {\tt notR} theorem, 103 + \item {\tt notR} theorem, 106 \item {\tt nth} constant, 81 \item {\tt null} constant, 81 \indexspace \item {\tt O} symbol, 45 + \item {\textit {o}} type, 5, 103 \item {\tt o} symbol, 60, 71 - \item {\tt o} type, 5, 100 \item {\tt o_def} theorem, 64 \item {\tt of} symbol, 63 \item {\tt or_def} theorem, 42, 64 \item {\tt Ord} theory, 61 \item {\tt ord} class, 61, 62, 79 - \item {\tt order} class, 61 + \item {\tt order} class, 61, 79 \indexspace - \item {\tt pack} ML type, 106 + \item {\tt pack} ML type, 109 \item {\tt Pair} constant, 25, 26, 76 - \item {\tt pair} constant, 113 + \item {\tt pair} constant, 116 \item {\tt Pair_def} theorem, 31 \item {\tt Pair_eq} theorem, 76 \item {\tt Pair_inject} theorem, 37, 76 @@ -622,46 +625,46 @@ \item {\tt Pair_neq_0} theorem, 37 \item {\tt PairE} theorem, 76 \item {\tt pairing} theorem, 34 - \item {\tt pc_tac}, \bold{107}, \bold{123}, 129, 130 + \item {\tt pc_tac}, \bold{110}, \bold{126}, 132, 133 \item {\tt Perm} theory, 42 \item {\tt Pi} constant, 25, 28, 40 \item {\tt Pi_def} theorem, 31 \item {\tt Pi_type} theorem, 39, 40 \item {\tt plus} class, 61 - \item {\tt PlusC_inl} theorem, 119 - \item {\tt PlusC_inr} theorem, 119 - \item {\tt PlusE} theorem, 119, 123, 127 - \item {\tt PlusEL} theorem, 119 - \item {\tt PlusF} theorem, 119 - \item {\tt PlusFL} theorem, 119 - \item {\tt PlusI_inl} theorem, 119, 128 - \item {\tt PlusI_inlL} theorem, 119 - \item {\tt PlusI_inr} theorem, 119 - \item {\tt PlusI_inrL} theorem, 119 + \item {\tt PlusC_inl} theorem, 122 + \item {\tt PlusC_inr} theorem, 122 + \item {\tt PlusE} theorem, 122, 126, 130 + \item {\tt PlusEL} theorem, 122 + \item {\tt PlusF} theorem, 122 + \item {\tt PlusFL} theorem, 122 + \item {\tt PlusI_inl} theorem, 122, 131 + \item {\tt PlusI_inlL} theorem, 122 + \item {\tt PlusI_inr} theorem, 122 + \item {\tt PlusI_inrL} theorem, 122 \item {\tt Pow} constant, 25, 68 \item {\tt Pow_def} theorem, 71 \item {\tt Pow_iff} theorem, 30 \item {\tt Pow_mono} theorem, 52 \item {\tt PowD} theorem, 33, 53, 73 \item {\tt PowI} theorem, 33, 53, 73 - \item primitive recursion, 90--92 - \item {\tt primrec}, 90--92 + \item primitive recursion, 93 + \item {\tt primrec}, 91--92 \item {\tt primrec} symbol, 79 \item {\tt PrimReplace} constant, 25, 29 \item priorities, 2 - \item {\tt PROD} symbol, 26, 28, 114, 115 - \item {\tt Prod} constant, 113 + \item {\tt PROD} symbol, 26, 28, 117, 118 + \item {\tt Prod} constant, 116 \item {\tt Prod} theory, 76 - \item {\tt ProdC} theorem, 117, 133 - \item {\tt ProdC2} theorem, 117 - \item {\tt ProdE} theorem, 117, 130, 132, 134 - \item {\tt ProdEL} theorem, 117 - \item {\tt ProdF} theorem, 117 - \item {\tt ProdFL} theorem, 117 - \item {\tt ProdI} theorem, 117, 123, 125 - \item {\tt ProdIL} theorem, 117 + \item {\tt ProdC} theorem, 120, 136 + \item {\tt ProdC2} theorem, 120 + \item {\tt ProdE} theorem, 120, 133, 135, 137 + \item {\tt ProdEL} theorem, 120 + \item {\tt ProdF} theorem, 120 + \item {\tt ProdFL} theorem, 120 + \item {\tt ProdI} theorem, 120, 126, 128 + \item {\tt ProdIL} theorem, 120 \item {\tt prop_cs}, \bold{11}, \bold{76} - \item {\tt prop_pack}, \bold{106} + \item {\tt prop_pack}, \bold{109} \indexspace @@ -683,38 +686,43 @@ \indexspace - \item {\tt range} constant, 25, 68, 97 + \item {\tt range} constant, 25, 68, 100 \item {\tt range_def} theorem, 31, 71 \item {\tt range_of_fun} theorem, 39, 40 \item {\tt range_subset} theorem, 38 \item {\tt range_type} theorem, 39 - \item {\tt rangeE} theorem, 38, 73, 97 + \item {\tt rangeE} theorem, 38, 73, 101 \item {\tt rangeI} theorem, 38, 73 \item {\tt rank} constant, 48 \item {\tt rank_ss}, \bold{23} - \item {\tt rec} constant, 47, 113, 116 + \item {\tt rec} constant, 47, 116, 119 \item {\tt rec_0} theorem, 47 \item {\tt rec_def} theorem, 47 \item {\tt rec_succ} theorem, 47 - \item {\tt red_if_equal} theorem, 116 - \item {\tt Reduce} constant, 113, 116, 122 - \item {\tt refl} theorem, 8, 63, 103 - \item {\tt refl_elem} theorem, 116, 120 - \item {\tt refl_red} theorem, 116 - \item {\tt refl_type} theorem, 116, 120 - \item {\tt REPEAT_FIRST}, 121 - \item {\tt repeat_goal_tac}, \bold{107} + \item {\tt recdef}, 93--95 + \item recursion + \subitem general, 95 + \subitem primitive, 91--92 + \item recursive functions, \see{recursion}{90} + \item {\tt red_if_equal} theorem, 119 + \item {\tt Reduce} constant, 116, 119, 125 + \item {\tt refl} theorem, 8, 63, 106 + \item {\tt refl_elem} theorem, 119, 123 + \item {\tt refl_red} theorem, 119 + \item {\tt refl_type} theorem, 119, 123 + \item {\tt REPEAT_FIRST}, 124 + \item {\tt repeat_goal_tac}, \bold{110} \item {\tt RepFun} constant, 25, 28, 29, 32 \item {\tt RepFun_def} theorem, 30 \item {\tt RepFunE} theorem, 34 \item {\tt RepFunI} theorem, 34 \item {\tt Replace} constant, 25, 28, 29, 32 \item {\tt Replace_def} theorem, 30 - \item {\tt replace_type} theorem, 120, 132 + \item {\tt replace_type} theorem, 123, 135 \item {\tt ReplaceE} theorem, 34 \item {\tt ReplaceI} theorem, 34 \item {\tt replacement} theorem, 30 - \item {\tt reresolve_tac}, \bold{107} + \item {\tt reresolve_tac}, \bold{110} \item {\tt res_inst_tac}, 62 \item {\tt restrict} constant, 25, 32 \item {\tt restrict} theorem, 39 @@ -723,32 +731,32 @@ \item {\tt restrict_type} theorem, 39 \item {\tt rev} constant, 49, 81 \item {\tt rev_def} theorem, 49 - \item {\tt rew_tac}, 18, \bold{122} + \item {\tt rew_tac}, 18, \bold{125} \item {\tt rewrite_rule}, 19 \item {\tt right_comp_id} theorem, 45 \item {\tt right_comp_inverse} theorem, 45 \item {\tt right_inverse} theorem, 45 - \item {\tt RL}, 127 - \item {\tt RS}, 132, 134 + \item {\tt RL}, 130 + \item {\tt RS}, 135, 137 \indexspace - \item {\tt safe_goal_tac}, \bold{108} - \item {\tt safe_tac}, \bold{123} - \item {\tt safestep_tac}, \bold{123} + \item {\tt safe_goal_tac}, \bold{111} + \item {\tt safe_tac}, \bold{126} + \item {\tt safestep_tac}, \bold{126} \item search - \subitem best-first, 99 + \subitem best-first, 102 \item {\tt select_equality} theorem, 64, 66 \item {\tt selectI} theorem, 63, 64 \item {\tt separation} theorem, 34 - \item {\tt Seqof} constant, 101 - \item sequent calculus, 100--111 + \item {\tt Seqof} constant, 104 + \item sequent calculus, 103--114 \item {\tt Set} theory, 67, 70 + \item {\tt set} constant, 81 \item {\tt set} type, 67 \item set theory, 23--58 - \item {\tt set_current_thy}, 99 + \item {\tt set_current_thy}, 102 \item {\tt set_diff_def} theorem, 71 - \item {\tt set_of_list} constant, 81 \item {\tt show_sorts}, 62 \item {\tt show_types}, 62 \item {\tt Sigma} constant, 25, 28, 29, 37, 76 @@ -761,19 +769,19 @@ \item {\tt singletonE} theorem, 35 \item {\tt singletonI} theorem, 35 \item {\tt size} constant, 86 - \item {\tt snd} constant, 25, 29, 76, 113, 118 + \item {\tt snd} constant, 25, 32, 76, 116, 121 \item {\tt snd_conv} theorem, 37, 76 - \item {\tt snd_def} theorem, 31, 118 - \item {\tt sobj} type, 102 + \item {\tt snd_def} theorem, 31, 121 + \item {\tt sobj} type, 105 \item {\tt spec} theorem, 8, 66 - \item {\tt split} constant, 25, 29, 76, 113, 127 + \item {\tt split} constant, 25, 32, 76, 116, 130 \item {\tt split} theorem, 37, 76 \item {\tt split_all_tac}, \bold{77} \item {\tt split_def} theorem, 31 \item {\tt ssubst} theorem, 9, 65, 67 \item {\tt stac}, \bold{75} \item {\tt Step_tac}, 22 - \item {\tt step_tac}, 22, \bold{108}, \bold{123} + \item {\tt step_tac}, 22, \bold{111}, \bold{126} \item {\tt strip_tac}, \bold{67} \item {\tt subset_def} theorem, 30, 71 \item {\tt subset_refl} theorem, 33, 72 @@ -782,15 +790,15 @@ \item {\tt subsetD} theorem, 33, 55, 70, 72 \item {\tt subsetI} theorem, 33, 53, 54, 72 \item {\tt subst} theorem, 8, 63 - \item {\tt subst_elem} theorem, 116 - \item {\tt subst_elemL} theorem, 116 - \item {\tt subst_eqtyparg} theorem, 120, 132 - \item {\tt subst_prodE} theorem, 118, 120 - \item {\tt subst_type} theorem, 116 - \item {\tt subst_typeL} theorem, 116 + \item {\tt subst_elem} theorem, 119 + \item {\tt subst_elemL} theorem, 119 + \item {\tt subst_eqtyparg} theorem, 123, 135 + \item {\tt subst_prodE} theorem, 121, 123 + \item {\tt subst_type} theorem, 119 + \item {\tt subst_typeL} theorem, 119 \item {\tt Suc} constant, 78 \item {\tt Suc_not_Zero} theorem, 78 - \item {\tt succ} constant, 25, 29, 113 + \item {\tt succ} constant, 25, 29, 116 \item {\tt succ_def} theorem, 31 \item {\tt succ_inject} theorem, 35 \item {\tt succ_neq_0} theorem, 35 @@ -798,8 +806,8 @@ \item {\tt succE} theorem, 35 \item {\tt succI1} theorem, 35 \item {\tt succI2} theorem, 35 - \item {\tt SUM} symbol, 26, 28, 114, 115 - \item {\tt Sum} constant, 113 + \item {\tt SUM} symbol, 26, 28, 117, 118 + \item {\tt Sum} constant, 116 \item {\tt Sum} theory, 42, 77 \item {\tt sum_case} constant, 78 \item {\tt sum_case_Inl} theorem, 78 @@ -811,70 +819,70 @@ \item {\tt SUM_Int_distrib2} theorem, 41 \item {\tt SUM_Un_distrib1} theorem, 41 \item {\tt SUM_Un_distrib2} theorem, 41 - \item {\tt SumC} theorem, 118 - \item {\tt SumE} theorem, 118, 123, 127 + \item {\tt SumC} theorem, 121 + \item {\tt SumE} theorem, 121, 126, 130 \item {\tt sumE} theorem, 78 \item {\tt sumE2} theorem, 43 - \item {\tt SumE_fst} theorem, 118, 120, 132, 133 - \item {\tt SumE_snd} theorem, 118, 120, 134 - \item {\tt SumEL} theorem, 118 - \item {\tt SumF} theorem, 118 - \item {\tt SumFL} theorem, 118 - \item {\tt SumI} theorem, 118, 128 - \item {\tt SumIL} theorem, 118 - \item {\tt SumIL2} theorem, 120 + \item {\tt SumE_fst} theorem, 121, 123, 135, 136 + \item {\tt SumE_snd} theorem, 121, 123, 137 + \item {\tt SumEL} theorem, 121 + \item {\tt SumF} theorem, 121 + \item {\tt SumFL} theorem, 121 + \item {\tt SumI} theorem, 121, 131 + \item {\tt SumIL} theorem, 121 + \item {\tt SumIL2} theorem, 123 \item {\tt surj} constant, 45, 71, 75 \item {\tt surj_def} theorem, 45, 75 \item {\tt surjective_pairing} theorem, 76 \item {\tt surjective_sum} theorem, 78 \item {\tt swap} theorem, 11, 66 - \item {\tt swap_res_tac}, 16, 98 - \item {\tt sym} theorem, 9, 65, 103 - \item {\tt sym_elem} theorem, 116 - \item {\tt sym_type} theorem, 116 - \item {\tt symL} theorem, 104 + \item {\tt swap_res_tac}, 16, 102 + \item {\tt sym} theorem, 9, 65, 106 + \item {\tt sym_elem} theorem, 119 + \item {\tt sym_type} theorem, 119 + \item {\tt symL} theorem, 107 \indexspace - \item {\tt T} constant, 113 - \item {\tt t} type, 112 + \item {\tt T} constant, 116 + \item {\textit {t}} type, 115 \item {\tt take} constant, 81 \item {\tt takeWhile} constant, 81 - \item {\tt TC} theorem, 119 - \item {\tt TE} theorem, 119 - \item {\tt TEL} theorem, 119 - \item {\tt term} class, 5, 61, 100 - \item {\tt test_assume_tac}, \bold{121} - \item {\tt TF} theorem, 119 - \item {\tt THE} symbol, 26, 28, 36, 101 - \item {\tt The} constant, 25, 28, 29, 101 - \item {\tt The} theorem, 103 + \item {\tt TC} theorem, 122 + \item {\tt TE} theorem, 122 + \item {\tt TEL} theorem, 122 + \item {\tt term} class, 5, 61, 103 + \item {\tt test_assume_tac}, \bold{124} + \item {\tt TF} theorem, 122 + \item {\tt THE} symbol, 26, 28, 36, 104 + \item {\tt The} constant, 25, 28, 29, 104 + \item {\tt The} theorem, 106 \item {\tt the_def} theorem, 30 \item {\tt the_equality} theorem, 35, 36 \item {\tt theI} theorem, 35, 36 - \item {\tt thinL} theorem, 103 - \item {\tt thinR} theorem, 103 - \item {\tt TI} theorem, 119 + \item {\tt thinL} theorem, 106 + \item {\tt thinR} theorem, 106 + \item {\tt TI} theorem, 122 \item {\tt times} class, 61 \item {\tt tl} constant, 81 \item tracing \subitem of unification, 62 - \item {\tt trans} theorem, 9, 65, 103 - \item {\tt trans_elem} theorem, 116 - \item {\tt trans_red} theorem, 116 + \item {\tt trans} theorem, 9, 65, 106 + \item {\tt trans_elem} theorem, 119 + \item {\tt trans_red} theorem, 119 \item {\tt trans_tac}, 80 - \item {\tt trans_type} theorem, 116 - \item {\tt True} constant, 7, 60, 101 - \item {\tt True_def} theorem, 8, 64, 103 + \item {\tt trans_type} theorem, 119 + \item {\tt True} constant, 7, 60, 104 + \item {\tt True_def} theorem, 8, 64, 106 \item {\tt True_or_False} theorem, 63, 64 \item {\tt TrueI} theorem, 9, 65 - \item {\tt Trueprop} constant, 7, 60, 101 - \item {\tt TrueR} theorem, 104 - \item {\tt tt} constant, 113 + \item {\tt Trueprop} constant, 7, 60, 104 + \item {\tt TrueR} theorem, 107 + \item {\tt tt} constant, 116 \item {\tt ttl} constant, 81 - \item {\tt Type} constant, 113 + \item {\tt Type} constant, 116 \item type definition, \bold{83} - \item {\tt typechk_tac}, \bold{121}, 126, 129, 133, 134 + \item {\tt typechk_tac}, \bold{124}, 129, 132, 136, 137 \item {\tt typedef}, 80 \indexspace @@ -931,7 +939,7 @@ \indexspace - \item {\tt when} constant, 113, 118, 127 + \item {\tt when} constant, 116, 121, 130 \indexspace @@ -939,7 +947,7 @@ \indexspace - \item {\tt zero_ne_succ} theorem, 116, 117 + \item {\tt zero_ne_succ} theorem, 119, 120 \item {\tt ZF} theory, 1, 23, 59 \item {\tt ZF_cs}, \bold{23} \item {\tt ZF_ss}, \bold{23} diff -r 122e80826c95 -r 807549666b9c doc-src/Ref/ref.ind --- a/doc-src/Ref/ref.ind Fri Jul 04 12:32:31 1997 +0200 +++ b/doc-src/Ref/ref.ind Fri Jul 04 12:36:00 1997 +0200 @@ -153,7 +153,7 @@ \item {\tt commit}, \bold{2} \item {\tt COMP}, \bold{46} \item {\tt compose}, \bold{46} - \item {\tt compose_tac}, \bold{22} + \item {\tt compose_tac}, \bold{23} \item {\tt compSWrapper}, \bold{124} \item {\tt compWrapper}, \bold{124} \item {\tt concl_of}, \bold{39} @@ -206,11 +206,14 @@ \item destruct-resolution, 17 \item {\tt DETERM}, \bold{32} \item discrimination nets, \bold{24} + \item {\tt distinct_subgoals_tac}, \bold{22} \item {\tt dmatch_tac}, \bold{17} \item {\tt dres_inst_tac}, \bold{18} \item {\tt dresolve_tac}, \bold{17} \item {\tt dtac}, \bold{19} \item {\tt dummyT}, 82, 83, 93 + \item duplicate subgoals + \subitem removing, 22 \indexspace @@ -289,7 +292,7 @@ \item {\tt frs}, \bold{11} \item {\tt Full_simp_tac}, \bold{100}, 105 \item {\tt full_simp_tac}, 105, \bold{106} - \item {\tt fun} type, 60 + \item {\textit {fun}} type, 60 \item function applications, \bold{57} \indexspace @@ -404,7 +407,7 @@ \indexspace - \item {\tt o} type, 76 + \item {\textit {o}} type, 76 \item {\tt op} symbol, 73 \item {\tt option} ML type, 26 \item oracles, 61--62 @@ -470,8 +473,8 @@ \subitem starting, 6 \subitem timing, 10 \item {\tt PROP} symbol, 65 + \item {\textit {prop}} type, 60, 66 \item {\tt prop} nonterminal, \bold{64}, 76 - \item {\tt prop} type, 60, 66 \item {\tt prove_goal}, 10, \bold{13} \item {\tt prove_goalw}, \bold{13} \item {\tt prove_goalw_cterm}, \bold{13} @@ -767,8 +770,8 @@ \item {\tt tvar} nonterminal, \bold{66, 67}, 80, 87 \item {\tt typ} ML type, 60 \item {\tt Type}, \bold{60} + \item {\textit {type}} type, 71 \item {\tt type} nonterminal, \bold{66} - \item {\tt type} type, 71 \item type constraints, 66, 74, 83 \item type constructors, \bold{60} \item type identifiers, 66