author | haftmann |
Mon, 30 Nov 2009 12:28:12 +0100 | |
changeset 33969 | 1e7ca47c6c3d |
parent 33968 | f94fb13ecbb3 |
child 35021 | c839a4c670c6 |
permissions | -rw-r--r-- |
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(* Title: HOL/Tools/Datatype/datatype.ML |
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Author: Stefan Berghofer, TU Muenchen |
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Datatype package: definitional introduction of datatypes |
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with proof of characteristic theorems: injectivity / distinctness |
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of constructors and induction. Main interface to datatypes |
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after full bootstrap of datatype package. |
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*) |
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||
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signature DATATYPE = |
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sig |
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include DATATYPE_DATA |
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val add_datatype : config -> string list -> (string list * binding * mixfix * |
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(binding * typ list * mixfix) list) list -> theory -> string list * theory |
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val datatype_cmd : string list -> (string list * binding * mixfix * |
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(binding * string list * mixfix) list) list -> theory -> theory |
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end; |
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structure Datatype : DATATYPE = |
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struct |
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(** auxiliary **) |
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open Datatype_Aux; |
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open Datatype_Data; |
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val (_ $ (_ $ (_ $ (distinct_f $ _) $ _))) = hd (prems_of distinct_lemma); |
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val collect_simp = rewrite_rule [mk_meta_eq mem_Collect_eq]; |
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fun exh_thm_of (dt_info : info Symtab.table) tname = |
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#exhaust (the (Symtab.lookup dt_info tname)); |
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val node_name = @{type_name "Datatype.node"}; |
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val In0_name = @{const_name "Datatype.In0"}; |
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val In1_name = @{const_name "Datatype.In1"}; |
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val Scons_name = @{const_name "Datatype.Scons"}; |
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val Leaf_name = @{const_name "Datatype.Leaf"}; |
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val Lim_name = @{const_name "Datatype.Lim"}; |
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val Suml_name = @{const_name "Sum_Type.Suml"}; |
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val Sumr_name = @{const_name "Sum_Type.Sumr"}; |
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val In0_inject = @{thm In0_inject}; |
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val In1_inject = @{thm In1_inject}; |
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val Scons_inject = @{thm Scons_inject}; |
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val Leaf_inject = @{thm Leaf_inject}; |
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val In0_eq = @{thm In0_eq}; |
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val In1_eq = @{thm In1_eq}; |
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val In0_not_In1 = @{thm In0_not_In1}; |
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val In1_not_In0 = @{thm In1_not_In0}; |
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val Lim_inject = @{thm Lim_inject}; |
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val Inl_inject = @{thm Inl_inject}; |
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val Inr_inject = @{thm Inr_inject}; |
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val Suml_inject = @{thm Suml_inject}; |
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val Sumr_inject = @{thm Sumr_inject}; |
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(** proof of characteristic theorems **) |
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fun representation_proofs (config : config) (dt_info : info Symtab.table) |
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new_type_names descr sorts types_syntax constr_syntax case_names_induct thy = |
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let |
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val descr' = flat descr; |
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val big_name = space_implode "_" new_type_names; |
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val thy1 = Sign.add_path big_name thy; |
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val big_rec_name = big_name ^ "_rep_set"; |
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val rep_set_names' = |
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(if length descr' = 1 then [big_rec_name] else |
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(map ((curry (op ^) (big_rec_name ^ "_")) o string_of_int) |
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(1 upto (length descr')))); |
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val rep_set_names = map (Sign.full_bname thy1) rep_set_names'; |
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val tyvars = map (fn (_, (_, Ts, _)) => map dest_DtTFree Ts) (hd descr); |
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val leafTs' = get_nonrec_types descr' sorts; |
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val branchTs = get_branching_types descr' sorts; |
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val branchT = if null branchTs then HOLogic.unitT |
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else Balanced_Tree.make (fn (T, U) => Type ("+", [T, U])) branchTs; |
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val arities = remove (op =) 0 (get_arities descr'); |
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val unneeded_vars = |
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subtract (op =) (List.foldr OldTerm.add_typ_tfree_names [] (leafTs' @ branchTs)) (hd tyvars); |
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val leafTs = leafTs' @ map (fn n => TFree (n, (the o AList.lookup (op =) sorts) n)) unneeded_vars; |
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val recTs = get_rec_types descr' sorts; |
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val (newTs, oldTs) = chop (length (hd descr)) recTs; |
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val sumT = if null leafTs then HOLogic.unitT |
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else Balanced_Tree.make (fn (T, U) => Type ("+", [T, U])) leafTs; |
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val Univ_elT = HOLogic.mk_setT (Type (node_name, [sumT, branchT])); |
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val UnivT = HOLogic.mk_setT Univ_elT; |
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val UnivT' = Univ_elT --> HOLogic.boolT; |
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val Collect = Const (@{const_name Collect}, UnivT' --> UnivT); |
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val In0 = Const (In0_name, Univ_elT --> Univ_elT); |
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val In1 = Const (In1_name, Univ_elT --> Univ_elT); |
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val Leaf = Const (Leaf_name, sumT --> Univ_elT); |
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val Lim = Const (Lim_name, (branchT --> Univ_elT) --> Univ_elT); |
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(* make injections needed for embedding types in leaves *) |
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fun mk_inj T' x = |
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let |
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fun mk_inj' T n i = |
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if n = 1 then x else |
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let val n2 = n div 2; |
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val Type (_, [T1, T2]) = T |
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105 |
in |
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if i <= n2 then |
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Const (@{const_name "Sum_Type.Inl"}, T1 --> T) $ (mk_inj' T1 n2 i) |
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else |
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Const (@{const_name "Sum_Type.Inr"}, T2 --> T) $ (mk_inj' T2 (n - n2) (i - n2)) |
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110 |
end |
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in mk_inj' sumT (length leafTs) (1 + find_index (fn T'' => T'' = T') leafTs) |
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end; |
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113 |
|
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114 |
(* make injections for constructors *) |
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115 |
|
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fun mk_univ_inj ts = Balanced_Tree.access |
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{left = fn t => In0 $ t, |
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right = fn t => In1 $ t, |
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init = |
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if ts = [] then Const (@{const_name undefined}, Univ_elT) |
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else foldr1 (HOLogic.mk_binop Scons_name) ts}; |
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122 |
|
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123 |
(* function spaces *) |
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124 |
|
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fun mk_fun_inj T' x = |
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126 |
let |
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fun mk_inj T n i = |
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if n = 1 then x else |
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129 |
let |
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130 |
val n2 = n div 2; |
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131 |
val Type (_, [T1, T2]) = T; |
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132 |
fun mkT U = (U --> Univ_elT) --> T --> Univ_elT |
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133 |
in |
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if i <= n2 then Const (Suml_name, mkT T1) $ mk_inj T1 n2 i |
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else Const (Sumr_name, mkT T2) $ mk_inj T2 (n - n2) (i - n2) |
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136 |
end |
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137 |
in mk_inj branchT (length branchTs) (1 + find_index (fn T'' => T'' = T') branchTs) |
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138 |
end; |
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139 |
|
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140 |
fun mk_lim t Ts = fold_rev (fn T => fn t => Lim $ mk_fun_inj T (Abs ("x", T, t))) Ts t; |
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141 |
|
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142 |
(************** generate introduction rules for representing set **********) |
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143 |
|
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144 |
val _ = message config "Constructing representing sets ..."; |
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145 |
|
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146 |
(* make introduction rule for a single constructor *) |
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147 |
|
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148 |
fun make_intr s n (i, (_, cargs)) = |
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149 |
let |
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150 |
fun mk_prem dt (j, prems, ts) = |
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151 |
(case strip_dtyp dt of |
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152 |
(dts, DtRec k) => |
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153 |
let |
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154 |
val Ts = map (typ_of_dtyp descr' sorts) dts; |
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155 |
val free_t = |
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156 |
app_bnds (mk_Free "x" (Ts ---> Univ_elT) j) (length Ts) |
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157 |
in (j + 1, list_all (map (pair "x") Ts, |
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158 |
HOLogic.mk_Trueprop |
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159 |
(Free (nth rep_set_names' k, UnivT') $ free_t)) :: prems, |
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160 |
mk_lim free_t Ts :: ts) |
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161 |
end |
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162 |
| _ => |
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163 |
let val T = typ_of_dtyp descr' sorts dt |
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164 |
in (j + 1, prems, (Leaf $ mk_inj T (mk_Free "x" T j))::ts) |
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165 |
end); |
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166 |
|
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167 |
val (_, prems, ts) = fold_rev mk_prem cargs (1, [], []); |
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168 |
val concl = HOLogic.mk_Trueprop |
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169 |
(Free (s, UnivT') $ mk_univ_inj ts n i) |
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170 |
in Logic.list_implies (prems, concl) |
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171 |
end; |
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172 |
|
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173 |
val intr_ts = maps (fn ((_, (_, _, constrs)), rep_set_name) => |
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174 |
map (make_intr rep_set_name (length constrs)) |
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175 |
((1 upto (length constrs)) ~~ constrs)) (descr' ~~ rep_set_names'); |
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176 |
|
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177 |
val ({raw_induct = rep_induct, intrs = rep_intrs, ...}, thy2) = |
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178 |
thy1 |
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179 |
|> Sign.map_naming Name_Space.conceal |
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180 |
|> Inductive.add_inductive_global |
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181 |
{quiet_mode = #quiet config, verbose = false, alt_name = Binding.name big_rec_name, |
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182 |
coind = false, no_elim = true, no_ind = false, skip_mono = true, fork_mono = false} |
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183 |
(map (fn s => ((Binding.name s, UnivT'), NoSyn)) rep_set_names') [] |
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184 |
(map (fn x => (Attrib.empty_binding, x)) intr_ts) [] |
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185 |
||> Sign.restore_naming thy1 |
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186 |
||> Theory.checkpoint; |
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187 |
|
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188 |
(********************************* typedef ********************************) |
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189 |
|
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190 |
val (typedefs, thy3) = thy2 |> |
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191 |
Sign.parent_path |> |
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192 |
fold_map (fn ((((name, mx), tvs), c), name') => |
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193 |
Typedef.add_typedef false (SOME (Binding.name name')) (name, tvs, mx) |
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194 |
(Collect $ Const (c, UnivT')) NONE |
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195 |
(rtac exI 1 THEN rtac CollectI 1 THEN |
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196 |
QUIET_BREADTH_FIRST (has_fewer_prems 1) |
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197 |
(resolve_tac rep_intrs 1))) |
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198 |
(types_syntax ~~ tyvars ~~ |
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199 |
(take (length newTs) rep_set_names) ~~ new_type_names) ||> |
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200 |
Sign.add_path big_name; |
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201 |
|
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202 |
(*********************** definition of constructors ***********************) |
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203 |
|
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204 |
val big_rep_name = (space_implode "_" new_type_names) ^ "_Rep_"; |
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val rep_names = map (curry op ^ "Rep_") new_type_names; |
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val rep_names' = map (fn i => big_rep_name ^ (string_of_int i)) |
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(1 upto (length (flat (tl descr)))); |
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val all_rep_names = map (Sign.intern_const thy3) rep_names @ |
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map (Sign.full_bname thy3) rep_names'; |
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(* isomorphism declarations *) |
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val iso_decls = map (fn (T, s) => (Binding.name s, T --> Univ_elT, NoSyn)) |
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(oldTs ~~ rep_names'); |
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(* constructor definitions *) |
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fun make_constr_def tname T n ((cname, cargs), (cname', mx)) (thy, defs, eqns, i) = |
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let |
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fun constr_arg dt (j, l_args, r_args) = |
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let val T = typ_of_dtyp descr' sorts dt; |
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val free_t = mk_Free "x" T j |
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in (case (strip_dtyp dt, strip_type T) of |
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((_, DtRec m), (Us, U)) => (j + 1, free_t :: l_args, mk_lim |
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(Const (nth all_rep_names m, U --> Univ_elT) $ |
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app_bnds free_t (length Us)) Us :: r_args) |
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| _ => (j + 1, free_t::l_args, (Leaf $ mk_inj T free_t)::r_args)) |
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end; |
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val (_, l_args, r_args) = fold_rev constr_arg cargs (1, [], []); |
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val constrT = (map (typ_of_dtyp descr' sorts) cargs) ---> T; |
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val abs_name = Sign.intern_const thy ("Abs_" ^ tname); |
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val rep_name = Sign.intern_const thy ("Rep_" ^ tname); |
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val lhs = list_comb (Const (cname, constrT), l_args); |
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val rhs = mk_univ_inj r_args n i; |
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val def = Logic.mk_equals (lhs, Const (abs_name, Univ_elT --> T) $ rhs); |
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val def_name = Long_Name.base_name cname ^ "_def"; |
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val eqn = HOLogic.mk_Trueprop (HOLogic.mk_eq |
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(Const (rep_name, T --> Univ_elT) $ lhs, rhs)); |
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val ([def_thm], thy') = |
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thy |
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|> Sign.add_consts_i [(cname', constrT, mx)] |
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|> (PureThy.add_defs false o map Thm.no_attributes) [(Binding.name def_name, def)]; |
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244 |
|
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in (thy', defs @ [def_thm], eqns @ [eqn], i + 1) end; |
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(* constructor definitions for datatype *) |
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fun dt_constr_defs ((((_, (_, _, constrs)), tname), T), constr_syntax) |
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(thy, defs, eqns, rep_congs, dist_lemmas) = |
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let |
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val _ $ (_ $ (cong_f $ _) $ _) = concl_of arg_cong; |
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val rep_const = cterm_of thy |
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(Const (Sign.intern_const thy ("Rep_" ^ tname), T --> Univ_elT)); |
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val cong' = |
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Drule.standard (cterm_instantiate [(cterm_of thy cong_f, rep_const)] arg_cong); |
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val dist = |
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Drule.standard (cterm_instantiate [(cterm_of thy distinct_f, rep_const)] distinct_lemma); |
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val (thy', defs', eqns', _) = fold ((make_constr_def tname T) (length constrs)) |
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(constrs ~~ constr_syntax) (Sign.add_path tname thy, defs, [], 1); |
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261 |
in |
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262 |
(Sign.parent_path thy', defs', eqns @ [eqns'], |
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rep_congs @ [cong'], dist_lemmas @ [dist]) |
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264 |
end; |
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265 |
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266 |
val (thy4, constr_defs, constr_rep_eqns, rep_congs, dist_lemmas) = |
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fold dt_constr_defs |
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(hd descr ~~ new_type_names ~~ newTs ~~ constr_syntax) |
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(thy3 |> Sign.add_consts_i iso_decls |> Sign.parent_path, [], [], [], []); |
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271 |
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(*********** isomorphisms for new types (introduced by typedef) ***********) |
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val _ = message config "Proving isomorphism properties ..."; |
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val newT_iso_axms = map (fn (_, td) => |
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(collect_simp (#Abs_inverse td), #Rep_inverse td, |
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collect_simp (#Rep td))) typedefs; |
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279 |
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val newT_iso_inj_thms = map (fn (_, td) => |
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(collect_simp (#Abs_inject td) RS iffD1, #Rep_inject td RS iffD1)) typedefs; |
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(********* isomorphisms between existing types and "unfolded" types *******) |
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284 |
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285 |
(*---------------------------------------------------------------------*) |
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286 |
(* isomorphisms are defined using primrec-combinators: *) |
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(* generate appropriate functions for instantiating primrec-combinator *) |
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288 |
(* *) |
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(* e.g. dt_Rep_i = list_rec ... (%h t y. In1 (Scons (Leaf h) y)) *) |
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290 |
(* *) |
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(* also generate characteristic equations for isomorphisms *) |
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(* *) |
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(* e.g. dt_Rep_i (cons h t) = In1 (Scons (dt_Rep_j h) (dt_Rep_i t)) *) |
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(*---------------------------------------------------------------------*) |
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295 |
|
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fun make_iso_def k ks n (cname, cargs) (fs, eqns, i) = |
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297 |
let |
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val argTs = map (typ_of_dtyp descr' sorts) cargs; |
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val T = nth recTs k; |
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val rep_name = nth all_rep_names k; |
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val rep_const = Const (rep_name, T --> Univ_elT); |
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val constr = Const (cname, argTs ---> T); |
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303 |
|
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304 |
fun process_arg ks' dt (i2, i2', ts, Ts) = |
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305 |
let |
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306 |
val T' = typ_of_dtyp descr' sorts dt; |
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307 |
val (Us, U) = strip_type T' |
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308 |
in (case strip_dtyp dt of |
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309 |
(_, DtRec j) => if j mem ks' then |
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310 |
(i2 + 1, i2' + 1, ts @ [mk_lim (app_bnds |
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311 |
(mk_Free "y" (Us ---> Univ_elT) i2') (length Us)) Us], |
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312 |
Ts @ [Us ---> Univ_elT]) |
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313 |
else |
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314 |
(i2 + 1, i2', ts @ [mk_lim |
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315 |
(Const (nth all_rep_names j, U --> Univ_elT) $ |
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316 |
app_bnds (mk_Free "x" T' i2) (length Us)) Us], Ts) |
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317 |
| _ => (i2 + 1, i2', ts @ [Leaf $ mk_inj T' (mk_Free "x" T' i2)], Ts)) |
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318 |
end; |
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|
319 |
|
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320 |
val (i2, i2', ts, Ts) = fold (process_arg ks) cargs (1, 1, [], []); |
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321 |
val xs = map (uncurry (mk_Free "x")) (argTs ~~ (1 upto (i2 - 1))); |
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322 |
val ys = map (uncurry (mk_Free "y")) (Ts ~~ (1 upto (i2' - 1))); |
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323 |
val f = list_abs_free (map dest_Free (xs @ ys), mk_univ_inj ts n i); |
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|
324 |
|
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325 |
val (_, _, ts', _) = fold (process_arg []) cargs (1, 1, [], []); |
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326 |
val eqn = HOLogic.mk_Trueprop (HOLogic.mk_eq |
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327 |
(rep_const $ list_comb (constr, xs), mk_univ_inj ts' n i)) |
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|
328 |
|
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329 |
in (fs @ [f], eqns @ [eqn], i + 1) end; |
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|
330 |
|
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|
331 |
(* define isomorphisms for all mutually recursive datatypes in list ds *) |
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|
332 |
|
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|
333 |
fun make_iso_defs ds (thy, char_thms) = |
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|
334 |
let |
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|
335 |
val ks = map fst ds; |
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|
336 |
val (_, (tname, _, _)) = hd ds; |
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|
337 |
val {rec_rewrites, rec_names, ...} = the (Symtab.lookup dt_info tname); |
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|
338 |
|
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|
339 |
fun process_dt (k, (tname, _, constrs)) (fs, eqns, isos) = |
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|
340 |
let |
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|
341 |
val (fs', eqns', _) = |
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|
342 |
fold (make_iso_def k ks (length constrs)) constrs (fs, eqns, 1); |
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|
343 |
val iso = (nth recTs k, nth all_rep_names k) |
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|
344 |
in (fs', eqns', isos @ [iso]) end; |
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|
345 |
|
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|
346 |
val (fs, eqns, isos) = fold process_dt ds ([], [], []); |
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|
347 |
val fTs = map fastype_of fs; |
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|
348 |
val defs = map (fn (rec_name, (T, iso_name)) => (Binding.name (Long_Name.base_name iso_name ^ "_def"), |
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|
349 |
Logic.mk_equals (Const (iso_name, T --> Univ_elT), |
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|
350 |
list_comb (Const (rec_name, fTs @ [T] ---> Univ_elT), fs)))) (rec_names ~~ isos); |
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|
351 |
val (def_thms, thy') = |
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|
352 |
apsnd Theory.checkpoint ((PureThy.add_defs false o map Thm.no_attributes) defs thy); |
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|
353 |
|
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|
354 |
(* prove characteristic equations *) |
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|
355 |
|
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|
356 |
val rewrites = def_thms @ (map mk_meta_eq rec_rewrites); |
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|
357 |
val char_thms' = map (fn eqn => Skip_Proof.prove_global thy' [] [] eqn |
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|
358 |
(fn _ => EVERY [rewrite_goals_tac rewrites, rtac refl 1])) eqns; |
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|
359 |
|
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|
360 |
in (thy', char_thms' @ char_thms) end; |
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|
361 |
|
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|
362 |
val (thy5, iso_char_thms) = apfst Theory.checkpoint (fold_rev make_iso_defs |
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|
363 |
(tl descr) (Sign.add_path big_name thy4, [])); |
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|
364 |
|
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|
365 |
(* prove isomorphism properties *) |
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|
366 |
|
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|
367 |
fun mk_funs_inv thy thm = |
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|
368 |
let |
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|
369 |
val prop = Thm.prop_of thm; |
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|
370 |
val _ $ (_ $ ((S as Const (_, Type (_, [U, _]))) $ _ )) $ |
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|
371 |
(_ $ (_ $ (r $ (a $ _)) $ _)) = Type.legacy_freeze prop; |
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|
372 |
val used = OldTerm.add_term_tfree_names (a, []); |
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|
373 |
|
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|
374 |
fun mk_thm i = |
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|
375 |
let |
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|
376 |
val Ts = map (TFree o rpair HOLogic.typeS) |
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|
377 |
(Name.variant_list used (replicate i "'t")); |
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|
378 |
val f = Free ("f", Ts ---> U) |
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|
379 |
in Skip_Proof.prove_global thy [] [] (Logic.mk_implies |
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|
380 |
(HOLogic.mk_Trueprop (HOLogic.list_all |
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|
381 |
(map (pair "x") Ts, S $ app_bnds f i)), |
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|
382 |
HOLogic.mk_Trueprop (HOLogic.mk_eq (list_abs (map (pair "x") Ts, |
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|
383 |
r $ (a $ app_bnds f i)), f)))) |
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|
384 |
(fn _ => EVERY [REPEAT_DETERM_N i (rtac ext 1), |
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|
385 |
REPEAT (etac allE 1), rtac thm 1, atac 1]) |
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|
386 |
end |
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|
387 |
in map (fn r => r RS subst) (thm :: map mk_thm arities) end; |
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|
388 |
|
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|
389 |
(* prove inj dt_Rep_i and dt_Rep_i x : dt_rep_set_i *) |
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|
390 |
|
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|
391 |
val fun_congs = map (fn T => make_elim (Drule.instantiate' |
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|
392 |
[SOME (ctyp_of thy5 T)] [] fun_cong)) branchTs; |
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|
393 |
|
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|
394 |
fun prove_iso_thms ds (inj_thms, elem_thms) = |
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|
395 |
let |
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396 |
val (_, (tname, _, _)) = hd ds; |
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|
397 |
val induct = (#induct o the o Symtab.lookup dt_info) tname; |
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|
398 |
|
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|
399 |
fun mk_ind_concl (i, _) = |
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|
400 |
let |
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|
401 |
val T = nth recTs i; |
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|
402 |
val Rep_t = Const (nth all_rep_names i, T --> Univ_elT); |
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403 |
val rep_set_name = nth rep_set_names i |
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|
404 |
in (HOLogic.all_const T $ Abs ("y", T, HOLogic.imp $ |
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|
405 |
HOLogic.mk_eq (Rep_t $ mk_Free "x" T i, Rep_t $ Bound 0) $ |
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|
406 |
HOLogic.mk_eq (mk_Free "x" T i, Bound 0)), |
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|
407 |
Const (rep_set_name, UnivT') $ (Rep_t $ mk_Free "x" T i)) |
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|
408 |
end; |
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|
409 |
|
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|
410 |
val (ind_concl1, ind_concl2) = ListPair.unzip (map mk_ind_concl ds); |
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|
411 |
|
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|
412 |
val rewrites = map mk_meta_eq iso_char_thms; |
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|
413 |
val inj_thms' = map snd newT_iso_inj_thms @ |
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|
414 |
map (fn r => r RS @{thm injD}) inj_thms; |
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|
415 |
|
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|
416 |
val inj_thm = Skip_Proof.prove_global thy5 [] [] |
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417 |
(HOLogic.mk_Trueprop (mk_conj ind_concl1)) (fn _ => EVERY |
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418 |
[(indtac induct [] THEN_ALL_NEW ObjectLogic.atomize_prems_tac) 1, |
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|
419 |
REPEAT (EVERY |
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|
420 |
[rtac allI 1, rtac impI 1, |
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|
421 |
exh_tac (exh_thm_of dt_info) 1, |
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422 |
REPEAT (EVERY |
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|
423 |
[hyp_subst_tac 1, |
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|
424 |
rewrite_goals_tac rewrites, |
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|
425 |
REPEAT (dresolve_tac [In0_inject, In1_inject] 1), |
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|
426 |
(eresolve_tac [In0_not_In1 RS notE, In1_not_In0 RS notE] 1) |
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|
427 |
ORELSE (EVERY |
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|
428 |
[REPEAT (eresolve_tac (Scons_inject :: |
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|
429 |
map make_elim [Leaf_inject, Inl_inject, Inr_inject]) 1), |
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|
430 |
REPEAT (cong_tac 1), rtac refl 1, |
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|
431 |
REPEAT (atac 1 ORELSE (EVERY |
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|
432 |
[REPEAT (rtac ext 1), |
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433 |
REPEAT (eresolve_tac (mp :: allE :: |
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|
434 |
map make_elim (Suml_inject :: Sumr_inject :: |
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|
435 |
Lim_inject :: inj_thms') @ fun_congs) 1), |
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|
436 |
atac 1]))])])])]); |
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changeset
|
437 |
|
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|
438 |
val inj_thms'' = map (fn r => r RS @{thm datatype_injI}) |
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|
439 |
(split_conj_thm inj_thm); |
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|
440 |
|
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|
441 |
val elem_thm = |
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|
442 |
Skip_Proof.prove_global thy5 [] [] (HOLogic.mk_Trueprop (mk_conj ind_concl2)) |
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|
443 |
(fn _ => |
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|
444 |
EVERY [(indtac induct [] THEN_ALL_NEW ObjectLogic.atomize_prems_tac) 1, |
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|
445 |
rewrite_goals_tac rewrites, |
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|
446 |
REPEAT ((resolve_tac rep_intrs THEN_ALL_NEW |
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|
447 |
((REPEAT o etac allE) THEN' ares_tac elem_thms)) 1)]); |
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|
448 |
|
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|
449 |
in (inj_thms'' @ inj_thms, elem_thms @ (split_conj_thm elem_thm)) |
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|
450 |
end; |
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changeset
|
451 |
|
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|
452 |
val (iso_inj_thms_unfolded, iso_elem_thms) = |
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|
453 |
fold_rev prove_iso_thms (tl descr) ([], map #3 newT_iso_axms); |
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|
454 |
val iso_inj_thms = map snd newT_iso_inj_thms @ |
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|
455 |
map (fn r => r RS @{thm injD}) iso_inj_thms_unfolded; |
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changeset
|
456 |
|
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|
457 |
(* prove dt_rep_set_i x --> x : range dt_Rep_i *) |
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|
458 |
|
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|
459 |
fun mk_iso_t (((set_name, iso_name), i), T) = |
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|
460 |
let val isoT = T --> Univ_elT |
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|
461 |
in HOLogic.imp $ |
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|
462 |
(Const (set_name, UnivT') $ mk_Free "x" Univ_elT i) $ |
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|
463 |
(if i < length newTs then HOLogic.true_const |
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|
464 |
else HOLogic.mk_mem (mk_Free "x" Univ_elT i, |
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|
465 |
Const (@{const_name image}, isoT --> HOLogic.mk_setT T --> UnivT) $ |
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|
466 |
Const (iso_name, isoT) $ Const (@{const_name UNIV}, HOLogic.mk_setT T))) |
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|
467 |
end; |
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changeset
|
468 |
|
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|
469 |
val iso_t = HOLogic.mk_Trueprop (mk_conj (map mk_iso_t |
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|
470 |
(rep_set_names ~~ all_rep_names ~~ (0 upto (length descr' - 1)) ~~ recTs))); |
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changeset
|
471 |
|
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|
472 |
(* all the theorems are proved by one single simultaneous induction *) |
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changeset
|
473 |
|
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|
474 |
val range_eqs = map (fn r => mk_meta_eq (r RS @{thm range_ex1_eq})) |
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|
475 |
iso_inj_thms_unfolded; |
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changeset
|
476 |
|
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|
477 |
val iso_thms = if length descr = 1 then [] else |
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|
478 |
drop (length newTs) (split_conj_thm |
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|
479 |
(Skip_Proof.prove_global thy5 [] [] iso_t (fn _ => EVERY |
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|
480 |
[(indtac rep_induct [] THEN_ALL_NEW ObjectLogic.atomize_prems_tac) 1, |
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|
481 |
REPEAT (rtac TrueI 1), |
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|
482 |
rewrite_goals_tac (mk_meta_eq choice_eq :: |
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|
483 |
symmetric (mk_meta_eq @{thm expand_fun_eq}) :: range_eqs), |
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|
484 |
rewrite_goals_tac (map symmetric range_eqs), |
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|
485 |
REPEAT (EVERY |
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486 |
[REPEAT (eresolve_tac ([rangeE, ex1_implies_ex RS exE] @ |
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|
487 |
maps (mk_funs_inv thy5 o #1) newT_iso_axms) 1), |
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|
488 |
TRY (hyp_subst_tac 1), |
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489 |
rtac (sym RS range_eqI) 1, |
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|
490 |
resolve_tac iso_char_thms 1])]))); |
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|
491 |
|
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492 |
val Abs_inverse_thms' = |
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493 |
map #1 newT_iso_axms @ |
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494 |
map2 (fn r_inj => fn r => @{thm f_the_inv_into_f} OF [r_inj, r RS mp]) |
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495 |
iso_inj_thms_unfolded iso_thms; |
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|
496 |
|
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497 |
val Abs_inverse_thms = maps (mk_funs_inv thy5) Abs_inverse_thms'; |
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|
498 |
|
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|
499 |
(******************* freeness theorems for constructors *******************) |
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|
500 |
|
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|
501 |
val _ = message config "Proving freeness of constructors ..."; |
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changeset
|
502 |
|
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|
503 |
(* prove theorem Rep_i (Constr_j ...) = Inj_j ... *) |
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|
504 |
|
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changeset
|
505 |
fun prove_constr_rep_thm eqn = |
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|
506 |
let |
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|
507 |
val inj_thms = map fst newT_iso_inj_thms; |
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|
508 |
val rewrites = @{thm o_def} :: constr_defs @ (map (mk_meta_eq o #2) newT_iso_axms) |
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|
509 |
in Skip_Proof.prove_global thy5 [] [] eqn (fn _ => EVERY |
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|
510 |
[resolve_tac inj_thms 1, |
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|
511 |
rewrite_goals_tac rewrites, |
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|
512 |
rtac refl 3, |
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|
513 |
resolve_tac rep_intrs 2, |
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|
514 |
REPEAT (resolve_tac iso_elem_thms 1)]) |
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|
515 |
end; |
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changeset
|
516 |
|
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|
517 |
(*--------------------------------------------------------------*) |
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|
518 |
(* constr_rep_thms and rep_congs are used to prove distinctness *) |
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|
519 |
(* of constructors. *) |
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|
520 |
(*--------------------------------------------------------------*) |
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|
521 |
|
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|
522 |
val constr_rep_thms = map (map prove_constr_rep_thm) constr_rep_eqns; |
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|
523 |
|
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changeset
|
524 |
val dist_rewrites = map (fn (rep_thms, dist_lemma) => |
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|
525 |
dist_lemma::(rep_thms @ [In0_eq, In1_eq, In0_not_In1, In1_not_In0])) |
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|
526 |
(constr_rep_thms ~~ dist_lemmas); |
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changeset
|
527 |
|
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|
528 |
fun prove_distinct_thms dist_rewrites' (k, ts) = |
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|
529 |
let |
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|
530 |
fun prove [] = [] |
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|
531 |
| prove (t :: ts) = |
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|
532 |
let |
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|
533 |
val dist_thm = Skip_Proof.prove_global thy5 [] [] t (fn _ => |
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|
534 |
EVERY [simp_tac (HOL_ss addsimps dist_rewrites') 1]) |
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|
535 |
in dist_thm :: Drule.standard (dist_thm RS not_sym) :: prove ts end; |
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changeset
|
536 |
in prove ts end; |
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changeset
|
537 |
|
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|
538 |
val distinct_thms = map2 (prove_distinct_thms) |
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|
539 |
dist_rewrites (Datatype_Prop.make_distincts descr sorts); |
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changeset
|
540 |
|
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|
541 |
(* prove injectivity of constructors *) |
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changeset
|
542 |
|
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|
543 |
fun prove_constr_inj_thm rep_thms t = |
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|
544 |
let val inj_thms = Scons_inject :: (map make_elim |
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|
545 |
(iso_inj_thms @ |
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|
546 |
[In0_inject, In1_inject, Leaf_inject, Inl_inject, Inr_inject, |
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|
547 |
Lim_inject, Suml_inject, Sumr_inject])) |
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|
548 |
in Skip_Proof.prove_global thy5 [] [] t (fn _ => EVERY |
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|
549 |
[rtac iffI 1, |
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|
550 |
REPEAT (etac conjE 2), hyp_subst_tac 2, rtac refl 2, |
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|
551 |
dresolve_tac rep_congs 1, dtac box_equals 1, |
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|
552 |
REPEAT (resolve_tac rep_thms 1), |
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|
553 |
REPEAT (eresolve_tac inj_thms 1), |
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|
554 |
REPEAT (ares_tac [conjI] 1 ORELSE (EVERY [REPEAT (rtac ext 1), |
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|
555 |
REPEAT (eresolve_tac (make_elim fun_cong :: inj_thms) 1), |
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|
556 |
atac 1]))]) |
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|
557 |
end; |
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changeset
|
558 |
|
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changeset
|
559 |
val constr_inject = map (fn (ts, thms) => map (prove_constr_inj_thm thms) ts) |
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changeset
|
560 |
((Datatype_Prop.make_injs descr sorts) ~~ constr_rep_thms); |
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changeset
|
561 |
|
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changeset
|
562 |
val ((constr_inject', distinct_thms'), thy6) = |
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changeset
|
563 |
thy5 |
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|
564 |
|> Sign.parent_path |
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|
565 |
|> store_thmss "inject" new_type_names constr_inject |
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changeset
|
566 |
||>> store_thmss "distinct" new_type_names distinct_thms; |
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changeset
|
567 |
|
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changeset
|
568 |
(*************************** induction theorem ****************************) |
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changeset
|
569 |
|
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parents:
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changeset
|
570 |
val _ = message config "Proving induction rule for datatypes ..."; |
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parents:
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changeset
|
571 |
|
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modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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changeset
|
572 |
val Rep_inverse_thms = (map (fn (_, iso, _) => iso RS subst) newT_iso_axms) @ |
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changeset
|
573 |
(map (fn r => r RS @{thm the_inv_f_f} RS subst) iso_inj_thms_unfolded); |
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changeset
|
574 |
val Rep_inverse_thms' = map (fn r => r RS @{thm the_inv_f_f}) iso_inj_thms_unfolded; |
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changeset
|
575 |
|
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changeset
|
576 |
fun mk_indrule_lemma ((i, _), T) (prems, concls) = |
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changeset
|
577 |
let |
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changeset
|
578 |
val Rep_t = Const (nth all_rep_names i, T --> Univ_elT) $ |
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changeset
|
579 |
mk_Free "x" T i; |
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changeset
|
580 |
|
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changeset
|
581 |
val Abs_t = if i < length newTs then |
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|
582 |
Const (Sign.intern_const thy6 |
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changeset
|
583 |
("Abs_" ^ (nth new_type_names i)), Univ_elT --> T) |
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|
584 |
else Const (@{const_name the_inv_into}, |
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changeset
|
585 |
[HOLogic.mk_setT T, T --> Univ_elT, Univ_elT] ---> T) $ |
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changeset
|
586 |
HOLogic.mk_UNIV T $ Const (nth all_rep_names i, T --> Univ_elT) |
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changeset
|
587 |
|
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changeset
|
588 |
in (prems @ [HOLogic.imp $ |
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changeset
|
589 |
(Const (nth rep_set_names i, UnivT') $ Rep_t) $ |
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changeset
|
590 |
(mk_Free "P" (T --> HOLogic.boolT) (i + 1) $ (Abs_t $ Rep_t))], |
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changeset
|
591 |
concls @ [mk_Free "P" (T --> HOLogic.boolT) (i + 1) $ mk_Free "x" T i]) |
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changeset
|
592 |
end; |
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parents:
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changeset
|
593 |
|
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changeset
|
594 |
val (indrule_lemma_prems, indrule_lemma_concls) = |
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|
595 |
fold mk_indrule_lemma (descr' ~~ recTs) ([], []); |
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changeset
|
596 |
|
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changeset
|
597 |
val cert = cterm_of thy6; |
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changeset
|
598 |
|
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|
599 |
val indrule_lemma = Skip_Proof.prove_global thy6 [] [] |
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|
600 |
(Logic.mk_implies |
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changeset
|
601 |
(HOLogic.mk_Trueprop (mk_conj indrule_lemma_prems), |
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|
602 |
HOLogic.mk_Trueprop (mk_conj indrule_lemma_concls))) (fn _ => EVERY |
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changeset
|
603 |
[REPEAT (etac conjE 1), |
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changeset
|
604 |
REPEAT (EVERY |
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changeset
|
605 |
[TRY (rtac conjI 1), resolve_tac Rep_inverse_thms 1, |
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|
606 |
etac mp 1, resolve_tac iso_elem_thms 1])]); |
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changeset
|
607 |
|
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changeset
|
608 |
val Ps = map head_of (HOLogic.dest_conj (HOLogic.dest_Trueprop (concl_of indrule_lemma))); |
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changeset
|
609 |
val frees = if length Ps = 1 then [Free ("P", snd (dest_Var (hd Ps)))] else |
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changeset
|
610 |
map (Free o apfst fst o dest_Var) Ps; |
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changeset
|
611 |
val indrule_lemma' = cterm_instantiate (map cert Ps ~~ map cert frees) indrule_lemma; |
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changeset
|
612 |
|
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changeset
|
613 |
val dt_induct_prop = Datatype_Prop.make_ind descr sorts; |
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changeset
|
614 |
val dt_induct = Skip_Proof.prove_global thy6 [] |
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changeset
|
615 |
(Logic.strip_imp_prems dt_induct_prop) (Logic.strip_imp_concl dt_induct_prop) |
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changeset
|
616 |
(fn {prems, ...} => EVERY |
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changeset
|
617 |
[rtac indrule_lemma' 1, |
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changeset
|
618 |
(indtac rep_induct [] THEN_ALL_NEW ObjectLogic.atomize_prems_tac) 1, |
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changeset
|
619 |
EVERY (map (fn (prem, r) => (EVERY |
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changeset
|
620 |
[REPEAT (eresolve_tac Abs_inverse_thms 1), |
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changeset
|
621 |
simp_tac (HOL_basic_ss addsimps ((symmetric r)::Rep_inverse_thms')) 1, |
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changeset
|
622 |
DEPTH_SOLVE_1 (ares_tac [prem] 1 ORELSE etac allE 1)])) |
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changeset
|
623 |
(prems ~~ (constr_defs @ (map mk_meta_eq iso_char_thms))))]); |
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changeset
|
624 |
|
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changeset
|
625 |
val ([dt_induct'], thy7) = |
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changeset
|
626 |
thy6 |
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changeset
|
627 |
|> Sign.add_path big_name |
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changeset
|
628 |
|> PureThy.add_thms [((Binding.name "induct", dt_induct), [case_names_induct])] |
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changeset
|
629 |
||> Sign.parent_path |
f94fb13ecbb3
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changeset
|
630 |
||> Theory.checkpoint; |
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changeset
|
631 |
|
f94fb13ecbb3
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haftmann
parents:
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diff
changeset
|
632 |
in |
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parents:
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changeset
|
633 |
((constr_inject', distinct_thms', dt_induct'), thy7) |
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changeset
|
634 |
end; |
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changeset
|
635 |
|
f94fb13ecbb3
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parents:
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diff
changeset
|
636 |
|
f94fb13ecbb3
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parents:
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diff
changeset
|
637 |
|
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parents:
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changeset
|
638 |
(** definitional introduction of datatypes **) |
f94fb13ecbb3
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parents:
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diff
changeset
|
639 |
|
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changeset
|
640 |
fun gen_add_datatype prep_typ config new_type_names dts thy = |
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parents:
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changeset
|
641 |
let |
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changeset
|
642 |
val _ = Theory.requires thy "Datatype" "datatype definitions"; |
f94fb13ecbb3
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parents:
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changeset
|
643 |
|
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changeset
|
644 |
(* this theory is used just for parsing *) |
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changeset
|
645 |
val tmp_thy = thy |> |
f94fb13ecbb3
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diff
changeset
|
646 |
Theory.copy |> |
f94fb13ecbb3
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parents:
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diff
changeset
|
647 |
Sign.add_types (map (fn (tvs, tname, mx, _) => |
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changeset
|
648 |
(tname, length tvs, mx)) dts); |
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parents:
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diff
changeset
|
649 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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parents:
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changeset
|
650 |
val (tyvars, _, _, _)::_ = dts; |
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modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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changeset
|
651 |
val (new_dts, types_syntax) = ListPair.unzip (map (fn (tvs, tname, mx, _) => |
f94fb13ecbb3
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changeset
|
652 |
let val full_tname = Sign.full_name tmp_thy (Binding.map_name (Syntax.type_name mx) tname) |
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parents:
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changeset
|
653 |
in |
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modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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parents:
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diff
changeset
|
654 |
(case duplicates (op =) tvs of |
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parents:
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changeset
|
655 |
[] => |
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diff
changeset
|
656 |
if eq_set (op =) (tyvars, tvs) then ((full_tname, tvs), (tname, mx)) |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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changeset
|
657 |
else error ("Mutually recursive datatypes must have same type parameters") |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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parents:
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changeset
|
658 |
| dups => error ("Duplicate parameter(s) for datatype " ^ quote (Binding.str_of tname) ^ |
f94fb13ecbb3
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parents:
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changeset
|
659 |
" : " ^ commas dups)) |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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parents:
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changeset
|
660 |
end) dts); |
f94fb13ecbb3
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changeset
|
661 |
val dt_names = map fst new_dts; |
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haftmann
parents:
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diff
changeset
|
662 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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parents:
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diff
changeset
|
663 |
val _ = |
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parents:
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diff
changeset
|
664 |
(case duplicates (op =) (map fst new_dts) @ duplicates (op =) new_type_names of |
f94fb13ecbb3
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diff
changeset
|
665 |
[] => () |
f94fb13ecbb3
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parents:
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diff
changeset
|
666 |
| dups => error ("Duplicate datatypes: " ^ commas dups)); |
f94fb13ecbb3
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haftmann
parents:
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diff
changeset
|
667 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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changeset
|
668 |
fun prep_dt_spec (tvs, tname, mx, constrs) tname' (dts', constr_syntax, sorts, i) = |
f94fb13ecbb3
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changeset
|
669 |
let |
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changeset
|
670 |
fun prep_constr (cname, cargs, mx') (constrs, constr_syntax', sorts') = |
f94fb13ecbb3
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changeset
|
671 |
let |
f94fb13ecbb3
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parents:
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changeset
|
672 |
val (cargs', sorts'') = fold_map (prep_typ tmp_thy) cargs sorts'; |
f94fb13ecbb3
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changeset
|
673 |
val _ = |
f94fb13ecbb3
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parents:
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changeset
|
674 |
(case subtract (op =) tvs (fold (curry OldTerm.add_typ_tfree_names) cargs' []) of |
f94fb13ecbb3
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parents:
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diff
changeset
|
675 |
[] => () |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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parents:
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diff
changeset
|
676 |
| vs => error ("Extra type variables on rhs: " ^ commas vs)) |
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haftmann
parents:
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diff
changeset
|
677 |
in (constrs @ [(Sign.full_name_path tmp_thy tname' |
f94fb13ecbb3
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changeset
|
678 |
(Binding.map_name (Syntax.const_name mx') cname), |
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parents:
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changeset
|
679 |
map (dtyp_of_typ new_dts) cargs')], |
f94fb13ecbb3
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changeset
|
680 |
constr_syntax' @ [(cname, mx')], sorts'') |
f94fb13ecbb3
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|
681 |
end handle ERROR msg => cat_error msg |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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parents:
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changeset
|
682 |
("The error above occured in constructor " ^ quote (Binding.str_of cname) ^ |
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modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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parents:
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changeset
|
683 |
" of datatype " ^ quote (Binding.str_of tname)); |
f94fb13ecbb3
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haftmann
parents:
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changeset
|
684 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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parents:
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diff
changeset
|
685 |
val (constrs', constr_syntax', sorts') = |
f94fb13ecbb3
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parents:
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changeset
|
686 |
fold prep_constr constrs ([], [], sorts) |
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parents:
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changeset
|
687 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
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diff
changeset
|
688 |
in |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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parents:
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diff
changeset
|
689 |
case duplicates (op =) (map fst constrs') of |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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parents:
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changeset
|
690 |
[] => |
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modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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parents:
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changeset
|
691 |
(dts' @ [(i, (Sign.full_name tmp_thy (Binding.map_name (Syntax.type_name mx) tname), |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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changeset
|
692 |
map DtTFree tvs, constrs'))], |
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|
693 |
constr_syntax @ [constr_syntax'], sorts', i + 1) |
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|
694 |
| dups => error ("Duplicate constructors " ^ commas dups ^ |
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modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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|
695 |
" in datatype " ^ quote (Binding.str_of tname)) |
f94fb13ecbb3
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|
696 |
end; |
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modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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parents:
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changeset
|
697 |
|
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parents:
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changeset
|
698 |
val (dts', constr_syntax, sorts', i) = |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
699 |
fold2 prep_dt_spec dts new_type_names ([], [], [], 0); |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
700 |
val sorts = sorts' @ map (rpair (Sign.defaultS tmp_thy)) (subtract (op =) (map fst sorts') tyvars); |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
701 |
val dt_info = Datatype_Data.get_all thy; |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
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diff
changeset
|
702 |
val (descr, _) = unfold_datatypes tmp_thy dts' sorts dt_info dts' i; |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
703 |
val _ = check_nonempty descr handle (exn as Datatype_Empty s) => |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
704 |
if #strict config then error ("Nonemptiness check failed for datatype " ^ s) |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
705 |
else raise exn; |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
706 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
707 |
val _ = message config ("Constructing datatype(s) " ^ commas_quote new_type_names); |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
708 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
709 |
in |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
710 |
thy |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
711 |
|> representation_proofs config dt_info new_type_names descr sorts |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
712 |
types_syntax constr_syntax (Datatype_Data.mk_case_names_induct (flat descr)) |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
713 |
|-> (fn (inject, distinct, induct) => Datatype_Data.derive_datatype_props |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
714 |
config dt_names (SOME new_type_names) descr sorts |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
715 |
induct inject distinct) |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
716 |
end; |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
717 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
718 |
val add_datatype = gen_add_datatype Datatype_Data.cert_typ; |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
719 |
val datatype_cmd = snd ooo gen_add_datatype Datatype_Data.read_typ default_config; |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
720 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
721 |
local |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
722 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
723 |
structure P = OuterParse and K = OuterKeyword |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
724 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
725 |
fun prep_datatype_decls args = |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
726 |
let |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
727 |
val names = map |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
728 |
(fn ((((NONE, _), t), _), _) => Binding.name_of t | ((((SOME t, _), _), _), _) => t) args; |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
729 |
val specs = map (fn ((((_, vs), t), mx), cons) => |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
730 |
(vs, t, mx, map (fn ((x, y), z) => (x, y, z)) cons)) args; |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
731 |
in (names, specs) end; |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
732 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
733 |
val parse_datatype_decl = |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
734 |
(Scan.option (P.$$$ "(" |-- P.name --| P.$$$ ")") -- P.type_args -- P.binding -- P.opt_infix -- |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
735 |
(P.$$$ "=" |-- P.enum1 "|" (P.binding -- Scan.repeat P.typ -- P.opt_mixfix))); |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
736 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
737 |
val parse_datatype_decls = P.and_list1 parse_datatype_decl >> prep_datatype_decls; |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
738 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
739 |
in |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
740 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
741 |
val _ = |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
742 |
OuterSyntax.command "datatype" "define inductive datatypes" K.thy_decl |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
743 |
(parse_datatype_decls >> (fn (names, specs) => Toplevel.theory (datatype_cmd names specs))); |
6385
5a6570458d9e
rep_datatype: '_i' version, attributes, outer syntax;
wenzelm
parents:
6360
diff
changeset
|
744 |
|
30391
d930432adb13
adapted to simplified ThyOutput.antiquotation interface;
wenzelm
parents:
30364
diff
changeset
|
745 |
end; |
33968
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
746 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
747 |
end; |