author | wenzelm |
Mon, 12 Dec 2011 23:05:21 +0100 | |
changeset 45822 | 843dc212f69e |
parent 45821 | c2f6c50e3d42 |
child 45839 | 43a5b86bc102 |
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 -> |
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(string list * binding * mixfix * (binding * typ list * mixfix) list) list -> |
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theory -> string list * theory |
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val add_datatype_cmd: |
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(string list * binding * mixfix * (binding * string list * mixfix) list) list -> |
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theory -> theory |
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val parse_decl: (string list * binding * mixfix * (binding * string list * mixfix) list) parser |
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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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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 : Datatype_Aux.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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val datatype_injI = |
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@{lemma "(!!x. ALL y. f x = f y --> x = y) ==> inj f" by (simp add: inj_on_def)}; |
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(** proof of characteristic theorems **) |
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fun representation_proofs (config : Datatype_Aux.config) (dt_info : Datatype_Aux.info Symtab.table) |
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descr 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 new_type_names = map (Binding.name_of o fst) types_syntax; |
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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] |
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else map (prefix (big_rec_name ^ "_") o string_of_int) (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 Datatype_Aux.dest_DtTFree Ts) (hd descr); |
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val leafTs' = Datatype_Aux.get_nonrec_types descr'; |
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val branchTs = Datatype_Aux.get_branching_types descr'; |
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val branchT = |
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if null branchTs then HOLogic.unitT |
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else Balanced_Tree.make (fn (T, U) => Type (@{type_name Sum_Type.sum}, [T, U])) branchTs; |
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val arities = remove (op =) 0 (Datatype_Aux.get_arities descr'); |
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val unneeded_vars = |
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subtract (op =) (fold Term.add_tfreesT (leafTs' @ branchTs) []) (hd tyvars); |
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val leafTs = leafTs' @ map TFree unneeded_vars; |
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val recTs = Datatype_Aux.get_rec_types descr'; |
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val (newTs, oldTs) = chop (length (hd descr)) recTs; |
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val sumT = |
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if null leafTs then HOLogic.unitT |
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else Balanced_Tree.make (fn (T, U) => Type (@{type_name Sum_Type.sum}, [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 |
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else |
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let |
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val n2 = n div 2; |
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val Type (_, [T1, T2]) = T; |
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in |
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if i <= n2 |
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then Const (@{const_name Inl}, T1 --> T) $ mk_inj' T1 n2 i |
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else Const (@{const_name Inr}, T2 --> T) $ mk_inj' T2 (n - n2) (i - n2) |
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end; |
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in mk_inj' sumT (length leafTs) (1 + find_index (fn T'' => T'' = T') leafTs) end; |
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(* make injections for constructors *) |
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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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(* function spaces *) |
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fun mk_fun_inj T' x = |
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let |
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fun mk_inj T n i = |
45700 | 132 |
if n = 1 then x |
133 |
else |
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let |
|
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val n2 = n div 2; |
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val Type (_, [T1, T2]) = T; |
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137 |
fun mkT U = (U --> Univ_elT) --> T --> Univ_elT; |
|
138 |
in |
|
139 |
if i <= n2 then Const (Suml_name, mkT T1) $ mk_inj T1 n2 i |
|
140 |
else Const (Sumr_name, mkT T2) $ mk_inj T2 (n - n2) (i - n2) |
|
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end; |
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in mk_inj branchT (length branchTs) (1 + find_index (fn T'' => T'' = T') branchTs) end; |
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143 |
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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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145 |
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146 |
(************** generate introduction rules for representing set **********) |
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val _ = Datatype_Aux.message config "Constructing representing sets ..."; |
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149 |
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(* make introduction rule for a single constructor *) |
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151 |
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fun make_intr s n (i, (_, cargs)) = |
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let |
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fun mk_prem dt (j, prems, ts) = |
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(case Datatype_Aux.strip_dtyp dt of |
156 |
(dts, Datatype_Aux.DtRec k) => |
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let |
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val Ts = map (Datatype_Aux.typ_of_dtyp descr') dts; |
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val free_t = |
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Datatype_Aux.app_bnds (Datatype_Aux.mk_Free "x" (Ts ---> Univ_elT) j) (length Ts) |
45700 | 161 |
in |
162 |
(j + 1, list_all (map (pair "x") Ts, |
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163 |
HOLogic.mk_Trueprop |
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(Free (nth rep_set_names' k, UnivT') $ free_t)) :: prems, |
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mk_lim free_t Ts :: ts) |
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166 |
end |
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167 |
| _ => |
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let val T = Datatype_Aux.typ_of_dtyp descr' dt |
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in (j + 1, prems, (Leaf $ mk_inj T (Datatype_Aux.mk_Free "x" T j)) :: ts) end); |
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170 |
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val (_, prems, ts) = fold_rev mk_prem cargs (1, [], []); |
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val concl = HOLogic.mk_Trueprop (Free (s, UnivT') $ mk_univ_inj ts n i); |
173 |
in Logic.list_implies (prems, concl) end; |
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174 |
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175 |
val intr_ts = maps (fn ((_, (_, _, constrs)), rep_set_name) => |
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map (make_intr rep_set_name (length constrs)) |
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((1 upto length constrs) ~~ constrs)) (descr' ~~ rep_set_names'); |
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178 |
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val ({raw_induct = rep_induct, intrs = rep_intrs, ...}, thy2) = |
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180 |
thy1 |
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181 |
|> Sign.map_naming Name_Space.conceal |
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|> Inductive.add_inductive_global |
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183 |
{quiet_mode = #quiet config, verbose = false, alt_name = Binding.name big_rec_name, |
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184 |
coind = false, no_elim = true, no_ind = false, skip_mono = true, fork_mono = false} |
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(map (fn s => ((Binding.name s, UnivT'), NoSyn)) rep_set_names') [] |
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(map (fn x => (Attrib.empty_binding, x)) intr_ts) [] |
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187 |
||> Sign.restore_naming thy1 |
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188 |
||> Theory.checkpoint; |
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189 |
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190 |
(********************************* typedef ********************************) |
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191 |
|
45701 | 192 |
val (typedefs, thy3) = thy2 |
193 |
|> Sign.parent_path |
|
194 |
|> fold_map |
|
195 |
(fn (((name, mx), tvs), c) => |
|
45822 | 196 |
Typedef.add_typedef_global false NONE (name, tvs, mx) |
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197 |
(Collect $ Const (c, UnivT')) NONE |
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198 |
(rtac exI 1 THEN rtac CollectI 1 THEN |
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199 |
QUIET_BREADTH_FIRST (has_fewer_prems 1) |
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200 |
(resolve_tac rep_intrs 1))) |
45701 | 201 |
(types_syntax ~~ tyvars ~~ (take (length newTs) rep_set_names)) |
202 |
||> Sign.add_path big_name; |
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203 |
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204 |
(*********************** definition of constructors ***********************) |
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205 |
|
45229 | 206 |
val big_rep_name = space_implode "_" new_type_names ^ "_Rep_"; |
207 |
val rep_names = map (prefix "Rep_") new_type_names; |
|
45701 | 208 |
val rep_names' = map (fn i => big_rep_name ^ string_of_int i) (1 upto length (flat (tl descr))); |
209 |
val all_rep_names = |
|
210 |
map (Sign.intern_const thy3) rep_names @ |
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211 |
map (Sign.full_bname thy3) rep_names'; |
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212 |
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213 |
(* isomorphism declarations *) |
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214 |
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215 |
val iso_decls = map (fn (T, s) => (Binding.name s, T --> Univ_elT, NoSyn)) |
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216 |
(oldTs ~~ rep_names'); |
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217 |
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218 |
(* constructor definitions *) |
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219 |
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220 |
fun make_constr_def tname T n ((cname, cargs), (cname', mx)) (thy, defs, eqns, i) = |
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221 |
let |
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222 |
fun constr_arg dt (j, l_args, r_args) = |
41423 | 223 |
let |
45822 | 224 |
val T = Datatype_Aux.typ_of_dtyp descr' dt; |
41423 | 225 |
val free_t = Datatype_Aux.mk_Free "x" T j; |
45700 | 226 |
in |
227 |
(case (Datatype_Aux.strip_dtyp dt, strip_type T) of |
|
228 |
((_, Datatype_Aux.DtRec m), (Us, U)) => |
|
229 |
(j + 1, free_t :: l_args, mk_lim |
|
230 |
(Const (nth all_rep_names m, U --> Univ_elT) $ |
|
231 |
Datatype_Aux.app_bnds free_t (length Us)) Us :: r_args) |
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232 |
| _ => (j + 1, free_t::l_args, (Leaf $ mk_inj T free_t)::r_args)) |
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233 |
end; |
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234 |
|
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235 |
val (_, l_args, r_args) = fold_rev constr_arg cargs (1, [], []); |
45822 | 236 |
val constrT = map (Datatype_Aux.typ_of_dtyp descr') cargs ---> T; |
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237 |
val abs_name = Sign.intern_const thy ("Abs_" ^ tname); |
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238 |
val rep_name = Sign.intern_const thy ("Rep_" ^ tname); |
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239 |
val lhs = list_comb (Const (cname, constrT), l_args); |
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240 |
val rhs = mk_univ_inj r_args n i; |
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241 |
val def = Logic.mk_equals (lhs, Const (abs_name, Univ_elT --> T) $ rhs); |
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242 |
val def_name = Long_Name.base_name cname ^ "_def"; |
45821 | 243 |
val eqn = |
244 |
HOLogic.mk_Trueprop (HOLogic.mk_eq (Const (rep_name, T --> Univ_elT) $ lhs, rhs)); |
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245 |
val ([def_thm], thy') = |
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246 |
thy |
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247 |
|> Sign.add_consts_i [(cname', constrT, mx)] |
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248 |
|> (Global_Theory.add_defs false o map Thm.no_attributes) [(Binding.name def_name, def)]; |
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249 |
|
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250 |
in (thy', defs @ [def_thm], eqns @ [eqn], i + 1) end; |
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251 |
|
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252 |
(* constructor definitions for datatype *) |
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253 |
|
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254 |
fun dt_constr_defs ((((_, (_, _, constrs)), tname), T), constr_syntax) |
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255 |
(thy, defs, eqns, rep_congs, dist_lemmas) = |
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256 |
let |
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257 |
val _ $ (_ $ (cong_f $ _) $ _) = concl_of arg_cong; |
45700 | 258 |
val rep_const = |
259 |
cterm_of thy (Const (Sign.intern_const thy ("Rep_" ^ tname), T --> Univ_elT)); |
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260 |
val cong' = |
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261 |
Drule.export_without_context |
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262 |
(cterm_instantiate [(cterm_of thy cong_f, rep_const)] arg_cong); |
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263 |
val dist = |
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264 |
Drule.export_without_context |
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265 |
(cterm_instantiate [(cterm_of thy distinct_f, rep_const)] distinct_lemma); |
45700 | 266 |
val (thy', defs', eqns', _) = |
267 |
fold ((make_constr_def tname T) (length constrs)) |
|
268 |
(constrs ~~ constr_syntax) (Sign.add_path tname thy, defs, [], 1); |
|
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269 |
in |
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270 |
(Sign.parent_path thy', defs', eqns @ [eqns'], |
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271 |
rep_congs @ [cong'], dist_lemmas @ [dist]) |
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272 |
end; |
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273 |
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274 |
val (thy4, constr_defs, constr_rep_eqns, rep_congs, dist_lemmas) = |
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275 |
fold dt_constr_defs |
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276 |
(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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278 |
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279 |
|
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|
280 |
(*********** isomorphisms for new types (introduced by typedef) ***********) |
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281 |
|
41423 | 282 |
val _ = Datatype_Aux.message config "Proving isomorphism properties ..."; |
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283 |
|
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284 |
val newT_iso_axms = map (fn (_, (_, td)) => |
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285 |
(collect_simp (#Abs_inverse td), #Rep_inverse td, |
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|
286 |
collect_simp (#Rep td))) typedefs; |
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287 |
|
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288 |
val newT_iso_inj_thms = map (fn (_, (_, td)) => |
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289 |
(collect_simp (#Abs_inject td) RS iffD1, #Rep_inject td RS iffD1)) typedefs; |
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|
290 |
|
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291 |
(********* isomorphisms between existing types and "unfolded" types *******) |
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292 |
|
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|
293 |
(*---------------------------------------------------------------------*) |
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294 |
(* isomorphisms are defined using primrec-combinators: *) |
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295 |
(* generate appropriate functions for instantiating primrec-combinator *) |
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|
296 |
(* *) |
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|
297 |
(* e.g. dt_Rep_i = list_rec ... (%h t y. In1 (Scons (Leaf h) y)) *) |
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|
298 |
(* *) |
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299 |
(* also generate characteristic equations for isomorphisms *) |
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|
300 |
(* *) |
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|
301 |
(* e.g. dt_Rep_i (cons h t) = In1 (Scons (dt_Rep_j h) (dt_Rep_i t)) *) |
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|
302 |
(*---------------------------------------------------------------------*) |
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|
303 |
|
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|
304 |
fun make_iso_def k ks n (cname, cargs) (fs, eqns, i) = |
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305 |
let |
45822 | 306 |
val argTs = map (Datatype_Aux.typ_of_dtyp descr') cargs; |
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|
307 |
val T = nth recTs k; |
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|
308 |
val rep_name = nth all_rep_names k; |
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|
309 |
val rep_const = Const (rep_name, T --> Univ_elT); |
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|
310 |
val constr = Const (cname, argTs ---> T); |
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|
311 |
|
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|
312 |
fun process_arg ks' dt (i2, i2', ts, Ts) = |
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313 |
let |
45822 | 314 |
val T' = Datatype_Aux.typ_of_dtyp descr' dt; |
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|
315 |
val (Us, U) = strip_type T' |
45700 | 316 |
in |
317 |
(case Datatype_Aux.strip_dtyp dt of |
|
318 |
(_, Datatype_Aux.DtRec j) => |
|
319 |
if member (op =) ks' j then |
|
41423 | 320 |
(i2 + 1, i2' + 1, ts @ [mk_lim (Datatype_Aux.app_bnds |
321 |
(Datatype_Aux.mk_Free "y" (Us ---> Univ_elT) i2') (length Us)) Us], |
|
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|
322 |
Ts @ [Us ---> Univ_elT]) |
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|
323 |
else |
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|
324 |
(i2 + 1, i2', ts @ [mk_lim |
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|
325 |
(Const (nth all_rep_names j, U --> Univ_elT) $ |
41423 | 326 |
Datatype_Aux.app_bnds (Datatype_Aux.mk_Free "x" T' i2) (length Us)) Us], Ts) |
327 |
| _ => (i2 + 1, i2', ts @ [Leaf $ mk_inj T' (Datatype_Aux.mk_Free "x" T' i2)], Ts)) |
|
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|
328 |
end; |
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|
329 |
|
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|
330 |
val (i2, i2', ts, Ts) = fold (process_arg ks) cargs (1, 1, [], []); |
41423 | 331 |
val xs = map (uncurry (Datatype_Aux.mk_Free "x")) (argTs ~~ (1 upto (i2 - 1))); |
332 |
val ys = map (uncurry (Datatype_Aux.mk_Free "y")) (Ts ~~ (1 upto (i2' - 1))); |
|
44241 | 333 |
val f = fold_rev (absfree o dest_Free) (xs @ ys) (mk_univ_inj ts n i); |
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|
334 |
|
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|
335 |
val (_, _, ts', _) = fold (process_arg []) cargs (1, 1, [], []); |
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|
336 |
val eqn = HOLogic.mk_Trueprop (HOLogic.mk_eq |
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|
337 |
(rep_const $ list_comb (constr, xs), mk_univ_inj ts' n i)) |
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|
338 |
|
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|
339 |
in (fs @ [f], eqns @ [eqn], i + 1) end; |
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|
340 |
|
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|
341 |
(* define isomorphisms for all mutually recursive datatypes in list ds *) |
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|
342 |
|
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|
343 |
fun make_iso_defs ds (thy, char_thms) = |
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|
344 |
let |
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|
345 |
val ks = map fst ds; |
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|
346 |
val (_, (tname, _, _)) = hd ds; |
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|
347 |
val {rec_rewrites, rec_names, ...} = the (Symtab.lookup dt_info tname); |
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|
348 |
|
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|
349 |
fun process_dt (k, (tname, _, constrs)) (fs, eqns, isos) = |
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|
350 |
let |
45700 | 351 |
val (fs', eqns', _) = fold (make_iso_def k ks (length constrs)) constrs (fs, eqns, 1); |
352 |
val iso = (nth recTs k, nth all_rep_names k); |
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|
353 |
in (fs', eqns', isos @ [iso]) end; |
45700 | 354 |
|
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|
355 |
val (fs, eqns, isos) = fold process_dt ds ([], [], []); |
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|
356 |
val fTs = map fastype_of fs; |
45700 | 357 |
val defs = |
358 |
map (fn (rec_name, (T, iso_name)) => |
|
359 |
(Binding.name (Long_Name.base_name iso_name ^ "_def"), |
|
360 |
Logic.mk_equals (Const (iso_name, T --> Univ_elT), |
|
361 |
list_comb (Const (rec_name, fTs @ [T] ---> Univ_elT), fs)))) (rec_names ~~ isos); |
|
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|
362 |
val (def_thms, thy') = |
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|
363 |
apsnd Theory.checkpoint ((Global_Theory.add_defs false o map Thm.no_attributes) defs thy); |
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|
364 |
|
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|
365 |
(* prove characteristic equations *) |
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|
366 |
|
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|
367 |
val rewrites = def_thms @ (map mk_meta_eq rec_rewrites); |
45700 | 368 |
val char_thms' = |
369 |
map (fn eqn => Skip_Proof.prove_global thy' [] [] eqn |
|
370 |
(fn _ => EVERY [rewrite_goals_tac rewrites, rtac refl 1])) eqns; |
|
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|
371 |
|
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|
372 |
in (thy', char_thms' @ char_thms) end; |
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|
373 |
|
45700 | 374 |
val (thy5, iso_char_thms) = |
375 |
apfst Theory.checkpoint (fold_rev make_iso_defs (tl descr) (Sign.add_path big_name thy4, [])); |
|
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|
376 |
|
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|
377 |
(* prove isomorphism properties *) |
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|
378 |
|
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|
379 |
fun mk_funs_inv thy thm = |
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|
380 |
let |
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|
381 |
val prop = Thm.prop_of thm; |
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|
382 |
val _ $ (_ $ ((S as Const (_, Type (_, [U, _]))) $ _ )) $ |
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|
383 |
(_ $ (_ $ (r $ (a $ _)) $ _)) = Type.legacy_freeze prop; |
45738 | 384 |
val used = Term.add_tfree_names a []; |
33968
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changeset
|
385 |
|
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|
386 |
fun mk_thm i = |
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|
387 |
let |
45700 | 388 |
val Ts = map (TFree o rpair HOLogic.typeS) (Name.variant_list used (replicate i "'t")); |
389 |
val f = Free ("f", Ts ---> U); |
|
390 |
in |
|
391 |
Skip_Proof.prove_global thy [] [] |
|
392 |
(Logic.mk_implies |
|
393 |
(HOLogic.mk_Trueprop (HOLogic.list_all |
|
394 |
(map (pair "x") Ts, S $ Datatype_Aux.app_bnds f i)), |
|
395 |
HOLogic.mk_Trueprop (HOLogic.mk_eq (list_abs (map (pair "x") Ts, |
|
396 |
r $ (a $ Datatype_Aux.app_bnds f i)), f)))) |
|
397 |
(fn _ => EVERY [REPEAT_DETERM_N i (rtac ext 1), |
|
398 |
REPEAT (etac allE 1), rtac thm 1, atac 1]) |
|
33968
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changeset
|
399 |
end |
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|
400 |
in map (fn r => r RS subst) (thm :: map mk_thm arities) end; |
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changeset
|
401 |
|
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changeset
|
402 |
(* prove inj dt_Rep_i and dt_Rep_i x : dt_rep_set_i *) |
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changeset
|
403 |
|
45700 | 404 |
val fun_congs = |
405 |
map (fn T => make_elim (Drule.instantiate' [SOME (ctyp_of thy5 T)] [] fun_cong)) branchTs; |
|
33968
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changeset
|
406 |
|
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changeset
|
407 |
fun prove_iso_thms ds (inj_thms, elem_thms) = |
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changeset
|
408 |
let |
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changeset
|
409 |
val (_, (tname, _, _)) = hd ds; |
45700 | 410 |
val induct = #induct (the (Symtab.lookup dt_info tname)); |
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changeset
|
411 |
|
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changeset
|
412 |
fun mk_ind_concl (i, _) = |
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changeset
|
413 |
let |
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changeset
|
414 |
val T = nth recTs i; |
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|
415 |
val Rep_t = Const (nth all_rep_names i, T --> Univ_elT); |
45700 | 416 |
val rep_set_name = nth rep_set_names i; |
417 |
in |
|
418 |
(HOLogic.all_const T $ Abs ("y", T, HOLogic.imp $ |
|
41423 | 419 |
HOLogic.mk_eq (Rep_t $ Datatype_Aux.mk_Free "x" T i, Rep_t $ Bound 0) $ |
420 |
HOLogic.mk_eq (Datatype_Aux.mk_Free "x" T i, Bound 0)), |
|
421 |
Const (rep_set_name, UnivT') $ (Rep_t $ Datatype_Aux.mk_Free "x" T i)) |
|
33968
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|
422 |
end; |
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changeset
|
423 |
|
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changeset
|
424 |
val (ind_concl1, ind_concl2) = ListPair.unzip (map mk_ind_concl ds); |
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changeset
|
425 |
|
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changeset
|
426 |
val rewrites = map mk_meta_eq iso_char_thms; |
45700 | 427 |
val inj_thms' = map snd newT_iso_inj_thms @ map (fn r => r RS @{thm injD}) inj_thms; |
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changeset
|
428 |
|
45700 | 429 |
val inj_thm = |
430 |
Skip_Proof.prove_global thy5 [] [] |
|
431 |
(HOLogic.mk_Trueprop (Datatype_Aux.mk_conj ind_concl1)) |
|
432 |
(fn _ => EVERY |
|
45735 | 433 |
[(Datatype_Aux.ind_tac induct [] THEN_ALL_NEW Object_Logic.atomize_prems_tac) 1, |
45700 | 434 |
REPEAT (EVERY |
435 |
[rtac allI 1, rtac impI 1, |
|
436 |
Datatype_Aux.exh_tac (exh_thm_of dt_info) 1, |
|
437 |
REPEAT (EVERY |
|
438 |
[hyp_subst_tac 1, |
|
439 |
rewrite_goals_tac rewrites, |
|
440 |
REPEAT (dresolve_tac [In0_inject, In1_inject] 1), |
|
441 |
(eresolve_tac [In0_not_In1 RS notE, In1_not_In0 RS notE] 1) |
|
442 |
ORELSE (EVERY |
|
443 |
[REPEAT (eresolve_tac (Scons_inject :: |
|
444 |
map make_elim [Leaf_inject, Inl_inject, Inr_inject]) 1), |
|
445 |
REPEAT (cong_tac 1), rtac refl 1, |
|
446 |
REPEAT (atac 1 ORELSE (EVERY |
|
447 |
[REPEAT (rtac ext 1), |
|
448 |
REPEAT (eresolve_tac (mp :: allE :: |
|
449 |
map make_elim (Suml_inject :: Sumr_inject :: |
|
450 |
Lim_inject :: inj_thms') @ fun_congs) 1), |
|
451 |
atac 1]))])])])]); |
|
33968
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changeset
|
452 |
|
41423 | 453 |
val inj_thms'' = map (fn r => r RS datatype_injI) (Datatype_Aux.split_conj_thm inj_thm); |
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changeset
|
454 |
|
45700 | 455 |
val elem_thm = |
456 |
Skip_Proof.prove_global thy5 [] [] |
|
457 |
(HOLogic.mk_Trueprop (Datatype_Aux.mk_conj ind_concl2)) |
|
41423 | 458 |
(fn _ => |
45735 | 459 |
EVERY [(Datatype_Aux.ind_tac induct [] THEN_ALL_NEW Object_Logic.atomize_prems_tac) 1, |
45700 | 460 |
rewrite_goals_tac rewrites, |
461 |
REPEAT ((resolve_tac rep_intrs THEN_ALL_NEW |
|
462 |
((REPEAT o etac allE) THEN' ares_tac elem_thms)) 1)]); |
|
33968
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changeset
|
463 |
|
45700 | 464 |
in (inj_thms'' @ inj_thms, elem_thms @ (Datatype_Aux.split_conj_thm elem_thm)) end; |
33968
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changeset
|
465 |
|
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changeset
|
466 |
val (iso_inj_thms_unfolded, iso_elem_thms) = |
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|
467 |
fold_rev prove_iso_thms (tl descr) ([], map #3 newT_iso_axms); |
45700 | 468 |
val iso_inj_thms = |
469 |
map snd newT_iso_inj_thms @ map (fn r => r RS @{thm injD}) iso_inj_thms_unfolded; |
|
33968
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changeset
|
470 |
|
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changeset
|
471 |
(* prove dt_rep_set_i x --> x : range dt_Rep_i *) |
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changeset
|
472 |
|
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changeset
|
473 |
fun mk_iso_t (((set_name, iso_name), i), T) = |
45700 | 474 |
let val isoT = T --> Univ_elT in |
475 |
HOLogic.imp $ |
|
476 |
(Const (set_name, UnivT') $ Datatype_Aux.mk_Free "x" Univ_elT i) $ |
|
45740 | 477 |
(if i < length newTs then @{term True} |
45700 | 478 |
else HOLogic.mk_mem (Datatype_Aux.mk_Free "x" Univ_elT i, |
479 |
Const (@{const_name image}, isoT --> HOLogic.mk_setT T --> UnivT) $ |
|
480 |
Const (iso_name, isoT) $ Const (@{const_abbrev UNIV}, HOLogic.mk_setT T))) |
|
33968
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changeset
|
481 |
end; |
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diff
changeset
|
482 |
|
41423 | 483 |
val iso_t = HOLogic.mk_Trueprop (Datatype_Aux.mk_conj (map mk_iso_t |
33968
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diff
changeset
|
484 |
(rep_set_names ~~ all_rep_names ~~ (0 upto (length descr' - 1)) ~~ recTs))); |
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changeset
|
485 |
|
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changeset
|
486 |
(* all the theorems are proved by one single simultaneous induction *) |
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diff
changeset
|
487 |
|
45700 | 488 |
val range_eqs = map (fn r => mk_meta_eq (r RS @{thm range_ex1_eq})) iso_inj_thms_unfolded; |
33968
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diff
changeset
|
489 |
|
45700 | 490 |
val iso_thms = |
491 |
if length descr = 1 then [] |
|
492 |
else |
|
493 |
drop (length newTs) (Datatype_Aux.split_conj_thm |
|
494 |
(Skip_Proof.prove_global thy5 [] [] iso_t (fn _ => EVERY |
|
45735 | 495 |
[(Datatype_Aux.ind_tac rep_induct [] THEN_ALL_NEW Object_Logic.atomize_prems_tac) 1, |
45700 | 496 |
REPEAT (rtac TrueI 1), |
497 |
rewrite_goals_tac (mk_meta_eq @{thm choice_eq} :: |
|
498 |
Thm.symmetric (mk_meta_eq @{thm fun_eq_iff}) :: range_eqs), |
|
499 |
rewrite_goals_tac (map Thm.symmetric range_eqs), |
|
500 |
REPEAT (EVERY |
|
501 |
[REPEAT (eresolve_tac ([rangeE, ex1_implies_ex RS exE] @ |
|
502 |
maps (mk_funs_inv thy5 o #1) newT_iso_axms) 1), |
|
503 |
TRY (hyp_subst_tac 1), |
|
504 |
rtac (sym RS range_eqI) 1, |
|
505 |
resolve_tac iso_char_thms 1])]))); |
|
33968
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haftmann
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diff
changeset
|
506 |
|
f94fb13ecbb3
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haftmann
parents:
33963
diff
changeset
|
507 |
val Abs_inverse_thms' = |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
508 |
map #1 newT_iso_axms @ |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
509 |
map2 (fn r_inj => fn r => @{thm f_the_inv_into_f} OF [r_inj, r RS mp]) |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
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33963
diff
changeset
|
510 |
iso_inj_thms_unfolded iso_thms; |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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33963
diff
changeset
|
511 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
512 |
val Abs_inverse_thms = maps (mk_funs_inv thy5) Abs_inverse_thms'; |
f94fb13ecbb3
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diff
changeset
|
513 |
|
f94fb13ecbb3
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haftmann
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diff
changeset
|
514 |
(******************* freeness theorems for constructors *******************) |
f94fb13ecbb3
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haftmann
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diff
changeset
|
515 |
|
41423 | 516 |
val _ = Datatype_Aux.message config "Proving freeness of constructors ..."; |
33968
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diff
changeset
|
517 |
|
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changeset
|
518 |
(* prove theorem Rep_i (Constr_j ...) = Inj_j ... *) |
45700 | 519 |
|
33968
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diff
changeset
|
520 |
fun prove_constr_rep_thm eqn = |
f94fb13ecbb3
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changeset
|
521 |
let |
f94fb13ecbb3
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diff
changeset
|
522 |
val inj_thms = map fst newT_iso_inj_thms; |
45700 | 523 |
val rewrites = @{thm o_def} :: constr_defs @ (map (mk_meta_eq o #2) newT_iso_axms); |
524 |
in |
|
525 |
Skip_Proof.prove_global thy5 [] [] eqn |
|
526 |
(fn _ => EVERY |
|
527 |
[resolve_tac inj_thms 1, |
|
528 |
rewrite_goals_tac rewrites, |
|
529 |
rtac refl 3, |
|
530 |
resolve_tac rep_intrs 2, |
|
531 |
REPEAT (resolve_tac iso_elem_thms 1)]) |
|
33968
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changeset
|
532 |
end; |
f94fb13ecbb3
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parents:
33963
diff
changeset
|
533 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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diff
changeset
|
534 |
(*--------------------------------------------------------------*) |
f94fb13ecbb3
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changeset
|
535 |
(* constr_rep_thms and rep_congs are used to prove distinctness *) |
f94fb13ecbb3
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changeset
|
536 |
(* of constructors. *) |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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changeset
|
537 |
(*--------------------------------------------------------------*) |
f94fb13ecbb3
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diff
changeset
|
538 |
|
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
|
539 |
val constr_rep_thms = map (map prove_constr_rep_thm) constr_rep_eqns; |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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changeset
|
540 |
|
45700 | 541 |
val dist_rewrites = |
542 |
map (fn (rep_thms, dist_lemma) => |
|
543 |
dist_lemma::(rep_thms @ [In0_eq, In1_eq, In0_not_In1, In1_not_In0])) |
|
544 |
(constr_rep_thms ~~ dist_lemmas); |
|
33968
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modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
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diff
changeset
|
545 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
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diff
changeset
|
546 |
fun prove_distinct_thms dist_rewrites' (k, ts) = |
f94fb13ecbb3
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haftmann
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diff
changeset
|
547 |
let |
f94fb13ecbb3
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haftmann
parents:
33963
diff
changeset
|
548 |
fun prove [] = [] |
f94fb13ecbb3
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haftmann
parents:
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diff
changeset
|
549 |
| prove (t :: ts) = |
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changeset
|
550 |
let |
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changeset
|
551 |
val dist_thm = Skip_Proof.prove_global thy5 [] [] t (fn _ => |
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changeset
|
552 |
EVERY [simp_tac (HOL_ss addsimps dist_rewrites') 1]) |
35021
c839a4c670c6
renamed old-style Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
33969
diff
changeset
|
553 |
in dist_thm :: Drule.export_without_context (dist_thm RS not_sym) :: prove ts end; |
33968
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changeset
|
554 |
in prove ts end; |
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parents:
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changeset
|
555 |
|
45700 | 556 |
val distinct_thms = |
45822 | 557 |
map2 (prove_distinct_thms) dist_rewrites (Datatype_Prop.make_distincts descr); |
33968
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parents:
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changeset
|
558 |
|
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changeset
|
559 |
(* prove injectivity of constructors *) |
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changeset
|
560 |
|
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changeset
|
561 |
fun prove_constr_inj_thm rep_thms t = |
45700 | 562 |
let |
563 |
val inj_thms = Scons_inject :: |
|
564 |
map make_elim |
|
565 |
(iso_inj_thms @ |
|
566 |
[In0_inject, In1_inject, Leaf_inject, Inl_inject, Inr_inject, |
|
567 |
Lim_inject, Suml_inject, Sumr_inject]) |
|
568 |
in |
|
569 |
Skip_Proof.prove_global thy5 [] [] t |
|
570 |
(fn _ => EVERY |
|
571 |
[rtac iffI 1, |
|
572 |
REPEAT (etac conjE 2), hyp_subst_tac 2, rtac refl 2, |
|
573 |
dresolve_tac rep_congs 1, dtac box_equals 1, |
|
574 |
REPEAT (resolve_tac rep_thms 1), |
|
575 |
REPEAT (eresolve_tac inj_thms 1), |
|
576 |
REPEAT (ares_tac [conjI] 1 ORELSE (EVERY [REPEAT (rtac ext 1), |
|
577 |
REPEAT (eresolve_tac (make_elim fun_cong :: inj_thms) 1), |
|
578 |
atac 1]))]) |
|
33968
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changeset
|
579 |
end; |
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changeset
|
580 |
|
45700 | 581 |
val constr_inject = |
582 |
map (fn (ts, thms) => map (prove_constr_inj_thm thms) ts) |
|
45822 | 583 |
(Datatype_Prop.make_injs descr ~~ constr_rep_thms); |
33968
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changeset
|
584 |
|
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changeset
|
585 |
val ((constr_inject', distinct_thms'), thy6) = |
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parents:
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changeset
|
586 |
thy5 |
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changeset
|
587 |
|> Sign.parent_path |
41423 | 588 |
|> Datatype_Aux.store_thmss "inject" new_type_names constr_inject |
589 |
||>> Datatype_Aux.store_thmss "distinct" new_type_names distinct_thms; |
|
33968
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changeset
|
590 |
|
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changeset
|
591 |
(*************************** induction theorem ****************************) |
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changeset
|
592 |
|
41423 | 593 |
val _ = Datatype_Aux.message config "Proving induction rule for datatypes ..."; |
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changeset
|
594 |
|
45700 | 595 |
val Rep_inverse_thms = |
596 |
map (fn (_, iso, _) => iso RS subst) newT_iso_axms @ |
|
597 |
map (fn r => r RS @{thm the_inv_f_f} RS subst) iso_inj_thms_unfolded; |
|
33968
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changeset
|
598 |
val Rep_inverse_thms' = map (fn r => r RS @{thm the_inv_f_f}) iso_inj_thms_unfolded; |
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changeset
|
599 |
|
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parents:
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changeset
|
600 |
fun mk_indrule_lemma ((i, _), T) (prems, concls) = |
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changeset
|
601 |
let |
45700 | 602 |
val Rep_t = |
603 |
Const (nth all_rep_names i, T --> Univ_elT) $ Datatype_Aux.mk_Free "x" T i; |
|
33968
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changeset
|
604 |
|
45700 | 605 |
val Abs_t = |
606 |
if i < length newTs then |
|
607 |
Const (Sign.intern_const thy6 ("Abs_" ^ nth new_type_names i), Univ_elT --> T) |
|
33968
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changeset
|
608 |
else Const (@{const_name the_inv_into}, |
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changeset
|
609 |
[HOLogic.mk_setT T, T --> Univ_elT, Univ_elT] ---> T) $ |
45700 | 610 |
HOLogic.mk_UNIV T $ Const (nth all_rep_names i, T --> Univ_elT); |
41423 | 611 |
in |
612 |
(prems @ |
|
613 |
[HOLogic.imp $ |
|
33968
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changeset
|
614 |
(Const (nth rep_set_names i, UnivT') $ Rep_t) $ |
41423 | 615 |
(Datatype_Aux.mk_Free "P" (T --> HOLogic.boolT) (i + 1) $ (Abs_t $ Rep_t))], |
616 |
concls @ |
|
617 |
[Datatype_Aux.mk_Free "P" (T --> HOLogic.boolT) (i + 1) $ Datatype_Aux.mk_Free "x" T i]) |
|
33968
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changeset
|
618 |
end; |
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changeset
|
619 |
|
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changeset
|
620 |
val (indrule_lemma_prems, indrule_lemma_concls) = |
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changeset
|
621 |
fold mk_indrule_lemma (descr' ~~ recTs) ([], []); |
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changeset
|
622 |
|
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changeset
|
623 |
val cert = cterm_of thy6; |
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parents:
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diff
changeset
|
624 |
|
45700 | 625 |
val indrule_lemma = |
626 |
Skip_Proof.prove_global thy6 [] [] |
|
627 |
(Logic.mk_implies |
|
628 |
(HOLogic.mk_Trueprop (Datatype_Aux.mk_conj indrule_lemma_prems), |
|
629 |
HOLogic.mk_Trueprop (Datatype_Aux.mk_conj indrule_lemma_concls))) |
|
630 |
(fn _ => |
|
631 |
EVERY |
|
33968
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changeset
|
632 |
[REPEAT (etac conjE 1), |
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parents:
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changeset
|
633 |
REPEAT (EVERY |
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changeset
|
634 |
[TRY (rtac conjI 1), resolve_tac Rep_inverse_thms 1, |
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parents:
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changeset
|
635 |
etac mp 1, resolve_tac iso_elem_thms 1])]); |
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diff
changeset
|
636 |
|
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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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diff
changeset
|
637 |
val Ps = map head_of (HOLogic.dest_conj (HOLogic.dest_Trueprop (concl_of indrule_lemma))); |
45700 | 638 |
val frees = |
639 |
if length Ps = 1 then [Free ("P", snd (dest_Var (hd Ps)))] |
|
640 |
else map (Free o apfst fst o dest_Var) Ps; |
|
33968
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diff
changeset
|
641 |
val indrule_lemma' = cterm_instantiate (map cert Ps ~~ map cert frees) indrule_lemma; |
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parents:
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diff
changeset
|
642 |
|
45822 | 643 |
val dt_induct_prop = Datatype_Prop.make_ind descr; |
45700 | 644 |
val dt_induct = |
645 |
Skip_Proof.prove_global thy6 [] |
|
646 |
(Logic.strip_imp_prems dt_induct_prop) |
|
647 |
(Logic.strip_imp_concl dt_induct_prop) |
|
648 |
(fn {prems, ...} => |
|
649 |
EVERY |
|
650 |
[rtac indrule_lemma' 1, |
|
45735 | 651 |
(Datatype_Aux.ind_tac rep_induct [] THEN_ALL_NEW Object_Logic.atomize_prems_tac) 1, |
45700 | 652 |
EVERY (map (fn (prem, r) => (EVERY |
653 |
[REPEAT (eresolve_tac Abs_inverse_thms 1), |
|
654 |
simp_tac (HOL_basic_ss addsimps (Thm.symmetric r :: Rep_inverse_thms')) 1, |
|
655 |
DEPTH_SOLVE_1 (ares_tac [prem] 1 ORELSE etac allE 1)])) |
|
656 |
(prems ~~ (constr_defs @ (map mk_meta_eq iso_char_thms))))]); |
|
33968
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haftmann
parents:
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diff
changeset
|
657 |
|
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
|
658 |
val ([dt_induct'], thy7) = |
f94fb13ecbb3
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haftmann
parents:
33963
diff
changeset
|
659 |
thy6 |
40929
7ff03a5e044f
theorem names generated by the (rep_)datatype command now have mandatory qualifiers
huffman
parents:
40719
diff
changeset
|
660 |
|> Global_Theory.add_thms |
7ff03a5e044f
theorem names generated by the (rep_)datatype command now have mandatory qualifiers
huffman
parents:
40719
diff
changeset
|
661 |
[((Binding.qualify true big_name (Binding.name "induct"), dt_induct), |
7ff03a5e044f
theorem names generated by the (rep_)datatype command now have mandatory qualifiers
huffman
parents:
40719
diff
changeset
|
662 |
[case_names_induct])] |
33968
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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
|
663 |
||> Theory.checkpoint; |
f94fb13ecbb3
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haftmann
parents:
33963
diff
changeset
|
664 |
|
f94fb13ecbb3
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haftmann
parents:
33963
diff
changeset
|
665 |
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
|
666 |
((constr_inject', distinct_thms', dt_induct'), thy7) |
f94fb13ecbb3
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parents:
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diff
changeset
|
667 |
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
|
668 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
669 |
|
f94fb13ecbb3
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haftmann
parents:
33963
diff
changeset
|
670 |
|
45701 | 671 |
(** datatype definition **) |
33968
f94fb13ecbb3
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haftmann
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33963
diff
changeset
|
672 |
|
45701 | 673 |
fun gen_add_datatype prep_typ config dts thy = |
33968
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diff
changeset
|
674 |
let |
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
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diff
changeset
|
675 |
val _ = Theory.requires thy "Datatype" "datatype definitions"; |
f94fb13ecbb3
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haftmann
parents:
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diff
changeset
|
676 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
677 |
(* this theory is used just for parsing *) |
45700 | 678 |
val tmp_thy = thy |
679 |
|> Theory.copy |
|
680 |
|> Sign.add_types_global (map (fn (tvs, tname, mx, _) => (tname, length tvs, mx)) dts); |
|
45742 | 681 |
val tmp_ctxt = Proof_Context.init_global tmp_thy; |
33968
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33963
diff
changeset
|
682 |
|
45700 | 683 |
val (tyvars, _, _, _) ::_ = dts; |
33968
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haftmann
parents:
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diff
changeset
|
684 |
val (new_dts, types_syntax) = ListPair.unzip (map (fn (tvs, tname, mx, _) => |
45700 | 685 |
let val full_tname = Sign.full_name tmp_thy tname in |
33968
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changeset
|
686 |
(case duplicates (op =) tvs of |
f94fb13ecbb3
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changeset
|
687 |
[] => |
f94fb13ecbb3
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parents:
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diff
changeset
|
688 |
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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diff
changeset
|
689 |
else error ("Mutually recursive datatypes must have same type parameters") |
45700 | 690 |
| dups => |
691 |
error ("Duplicate parameter(s) for datatype " ^ Binding.print tname ^ |
|
692 |
" : " ^ commas dups)) |
|
33968
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changeset
|
693 |
end) dts); |
f94fb13ecbb3
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diff
changeset
|
694 |
val dt_names = map fst new_dts; |
f94fb13ecbb3
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haftmann
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diff
changeset
|
695 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
696 |
val _ = |
45701 | 697 |
(case duplicates (op =) (map fst new_dts) of |
33968
f94fb13ecbb3
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diff
changeset
|
698 |
[] => () |
45822 | 699 |
| dups => error ("Duplicate datatypes: " ^ commas_quote dups)); |
33968
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diff
changeset
|
700 |
|
45701 | 701 |
fun prep_dt_spec (tvs, tname, mx, constrs) (dts', constr_syntax, sorts, i) = |
33968
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changeset
|
702 |
let |
f94fb13ecbb3
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parents:
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diff
changeset
|
703 |
fun prep_constr (cname, cargs, mx') (constrs, constr_syntax', sorts') = |
f94fb13ecbb3
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changeset
|
704 |
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
|
705 |
val (cargs', sorts'') = fold_map (prep_typ tmp_thy) cargs 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
|
706 |
val _ = |
45738 | 707 |
(case subtract (op =) tvs (fold Term.add_tfree_namesT cargs' []) of |
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
|
708 |
[] => () |
35129 | 709 |
| vs => error ("Extra type variables on rhs: " ^ commas vs)); |
45701 | 710 |
val c = Sign.full_name_path tmp_thy (Binding.name_of tname) cname; |
35129 | 711 |
in |
41423 | 712 |
(constrs @ [(c, map (Datatype_Aux.dtyp_of_typ new_dts) cargs')], |
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
|
713 |
constr_syntax' @ [(cname, mx')], sorts'') |
45700 | 714 |
end handle ERROR msg => |
715 |
cat_error msg ("The error above occurred in constructor " ^ Binding.print cname ^ |
|
716 |
" of datatype " ^ Binding.print tname); |
|
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
|
717 |
|
45700 | 718 |
val (constrs', constr_syntax', sorts') = fold prep_constr constrs ([], [], sorts); |
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
|
719 |
in |
45700 | 720 |
(case duplicates (op =) (map fst constrs') of |
35129 | 721 |
[] => |
45822 | 722 |
(dts' @ [(i, (Sign.full_name tmp_thy tname, tvs, constrs'))], |
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
|
723 |
constr_syntax @ [constr_syntax'], sorts', i + 1) |
42381
309ec68442c6
added Binding.print convenience, which includes quote already;
wenzelm
parents:
42375
diff
changeset
|
724 |
| dups => |
45822 | 725 |
error ("Duplicate constructors " ^ commas_quote dups ^ |
726 |
" in datatype " ^ Binding.print tname)) |
|
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
|
727 |
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
|
728 |
|
45822 | 729 |
val (dts0, constr_syntax, sorts', i) = fold prep_dt_spec dts ([], [], [], 0); |
730 |
val tmp_ctxt' = tmp_ctxt |> fold (Variable.declare_typ o TFree) sorts'; |
|
731 |
||
732 |
val dts' = dts0 |> map (fn (i, (name, tvs, cs)) => |
|
733 |
let |
|
734 |
val args = tvs |> |
|
735 |
map (fn a => Datatype_Aux.DtTFree (a, Proof_Context.default_sort tmp_ctxt' (a, ~1))); |
|
736 |
in (i, (name, args, cs)) end); |
|
737 |
||
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
|
738 |
val dt_info = Datatype_Data.get_all thy; |
45822 | 739 |
val (descr, _) = Datatype_Aux.unfold_datatypes tmp_ctxt dts' dt_info dts' i; |
41423 | 740 |
val _ = |
741 |
Datatype_Aux.check_nonempty descr |
|
742 |
handle (exn as Datatype_Aux.Datatype_Empty s) => |
|
45822 | 743 |
if #strict config then error ("Nonemptiness check failed for datatype " ^ quote s) |
41423 | 744 |
else reraise exn; |
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
|
745 |
|
45701 | 746 |
val _ = |
747 |
Datatype_Aux.message config |
|
748 |
("Constructing datatype(s) " ^ commas_quote (map (Binding.name_of o #2) dts)); |
|
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
|
749 |
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
|
750 |
thy |
45822 | 751 |
|> representation_proofs config dt_info descr types_syntax constr_syntax |
45701 | 752 |
(Datatype_Data.mk_case_names_induct (flat descr)) |
45700 | 753 |
|-> (fn (inject, distinct, induct) => |
45822 | 754 |
Datatype_Data.derive_datatype_props config dt_names descr induct inject distinct) |
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
|
755 |
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
|
756 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
757 |
val add_datatype = gen_add_datatype Datatype_Data.cert_typ; |
45701 | 758 |
val add_datatype_cmd = snd oo gen_add_datatype Datatype_Data.read_typ Datatype_Aux.default_config; |
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
|
759 |
|
45701 | 760 |
|
761 |
(* concrete syntax *) |
|
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
|
762 |
|
45701 | 763 |
val parse_decl = |
764 |
Parse.type_args -- Parse.binding -- Parse.opt_mixfix -- |
|
765 |
(Parse.$$$ "=" |-- Parse.enum1 "|" (Parse.binding -- Scan.repeat Parse.typ -- Parse.opt_mixfix)) |
|
766 |
>> (fn (((vs, t), mx), cons) => (vs, t, mx, map Parse.triple1 cons)); |
|
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
|
767 |
|
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33963
diff
changeset
|
768 |
val _ = |
36960
01594f816e3a
prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents:
36945
diff
changeset
|
769 |
Outer_Syntax.command "datatype" "define inductive datatypes" Keyword.thy_decl |
45701 | 770 |
(Parse.and_list1 parse_decl >> (Toplevel.theory o add_datatype_cmd)); |
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
|
771 |
|
41423 | 772 |
|
773 |
open Datatype_Data; |
|
774 |
||
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
|
775 |
end; |