(* Title: Pure/Isar/class.ML
ID: $Id$
Author: Florian Haftmann, TU Muenchen
Type classes derived from primitive axclasses and locales.
*)
signature CLASS =
sig
val fork_mixfix: bool -> string option -> mixfix -> mixfix * mixfix
val axclass_cmd: bstring * xstring list
-> ((bstring * Attrib.src list) * string list) list -> theory -> class * theory
val class: bstring -> class list -> Element.context_i Locale.element list
-> string list -> theory -> string * Proof.context
val class_cmd: bstring -> string list -> Element.context Locale.element list
-> string list -> theory -> string * Proof.context
val instance_arity: arity list -> ((bstring * Attrib.src list) * term) list
-> theory -> Proof.state
val instance_arity_cmd: (bstring * string list * string) list
-> ((bstring * Attrib.src list) * string) list
-> theory -> Proof.state
val prove_instance_arity: tactic -> arity list
-> ((bstring * Attrib.src list) * term) list
-> theory -> theory
val instance_class: class * class -> theory -> Proof.state
val instance_class_cmd: string * string -> theory -> Proof.state
val instance_sort: class * sort -> theory -> Proof.state
val instance_sort_cmd: string * string -> theory -> Proof.state
val prove_instance_sort: tactic -> class * sort -> theory -> theory
val class_of_locale: theory -> string -> class option
val add_const_in_class: string -> (string * term) * Syntax.mixfix
-> theory -> theory
val print_classes: theory -> unit
val intro_classes_tac: thm list -> tactic
val default_intro_classes_tac: thm list -> tactic
end;
structure Class : CLASS =
struct
(** auxiliary **)
fun fork_mixfix is_loc some_class mx =
let
val mx' = Syntax.unlocalize_mixfix mx;
val mx_global = if is_some some_class orelse (is_loc andalso mx = mx')
then NoSyn else mx';
val mx_local = if is_loc then mx else NoSyn;
in (mx_global, mx_local) end;
fun axclass_cmd (class, raw_superclasses) raw_specs thy =
let
val ctxt = ProofContext.init thy;
val superclasses = map (Sign.read_class thy) raw_superclasses;
val name_atts = map ((apsnd o map) (Attrib.attribute thy) o fst) raw_specs;
val axiomss = ProofContext.read_propp (ctxt, map (map (rpair []) o snd) raw_specs)
|> snd
|> (map o map) fst;
in AxClass.define_class (class, superclasses) [] (name_atts ~~ axiomss) thy end;
(** axclasses with implicit parameter handling **)
(* axclass instances *)
local
fun gen_instance mk_prop add_thm after_qed insts thy =
let
fun after_qed' results =
ProofContext.theory ((fold o fold) add_thm results #> after_qed);
in
thy
|> ProofContext.init
|> Proof.theorem_i NONE after_qed' ((map (fn t => [(t, [])]) o maps (mk_prop thy)) insts)
end;
in
val axclass_instance_arity =
gen_instance (Logic.mk_arities oo Sign.cert_arity) AxClass.add_arity;
val axclass_instance_sort =
gen_instance (single oo (Logic.mk_classrel oo AxClass.cert_classrel))
AxClass.add_classrel I o single;
end; (*local*)
(* introducing axclasses with implicit parameter handling *)
fun axclass_params (name, raw_superclasses) raw_consts raw_dep_axioms other_consts thy =
let
val superclasses = map (Sign.certify_class thy) raw_superclasses;
val consts = (map o apfst o apsnd) (Sign.certify_typ thy) raw_consts;
val prefix = Logic.const_of_class name;
fun mk_const_name c = NameSpace.map_base (NameSpace.append prefix)
(Sign.full_name thy c);
fun add_const ((c, ty), syn) =
Sign.add_consts_authentic [(c, ty, syn)]
#> pair (mk_const_name c, ty);
fun mk_axioms cs thy =
raw_dep_axioms thy cs
|> (map o apsnd o map) (Sign.cert_prop thy)
|> rpair thy;
fun add_constraint class (c, ty) =
Sign.add_const_constraint_i (c, SOME
(Term.map_type_tfree (fn (v, _) => TFree (v, [class])) ty));
in
thy
|> Theory.add_path prefix
|> fold_map add_const consts
||> Theory.restore_naming thy
|-> (fn cs => mk_axioms cs
#-> (fn axioms_prop => AxClass.define_class (name, superclasses)
(map fst cs @ other_consts) axioms_prop
#-> (fn class => `(fn thy => AxClass.get_definition thy class)
#-> (fn {intro, axioms, ...} => fold (add_constraint class) cs
#> pair (class, ((intro, (map Thm.prop_of axioms, axioms)), cs))))))
end;
(* instances with implicit parameter handling *)
local
fun gen_read_def thy prep_att read_def ((raw_name, raw_atts), raw_t) =
let
val (_, t) = read_def thy (raw_name, raw_t);
val ((c, ty), _) = Sign.cert_def (Sign.pp thy) t;
val atts = map (prep_att thy) raw_atts;
val insts = Consts.typargs (Sign.consts_of thy) (c, ty);
val name = case raw_name
of "" => NONE
| _ => SOME raw_name;
in (c, (insts, ((name, t), atts))) end;
fun read_def_cmd thy = gen_read_def thy Attrib.intern_src Theory.read_axm;
fun read_def thy = gen_read_def thy (K I) (K I);
fun gen_instance_arity prep_arity read_def do_proof raw_arities raw_defs theory =
let
val arities = map (prep_arity theory) raw_arities;
val _ = if null arities then error "at least one arity must be given" else ();
val _ = case (duplicates (op =) o map #1) arities
of [] => ()
| dupl_tycos => error ("type constructors occur more than once in arities: "
^ (commas o map quote) dupl_tycos);
val super_sort = (Graph.all_succs o #classes o Sorts.rep_algebra o Sign.classes_of) theory
fun get_consts_class tyco ty class =
let
val cs = (these o Option.map snd o try (AxClass.params_of_class theory)) class;
val subst_ty = map_type_tfree (K ty);
in
map (fn (c, ty) => (c, ((tyco, class), subst_ty ty))) cs
end;
fun get_consts_sort (tyco, asorts, sort) =
let
val ty = Type (tyco, map (fn (v, sort) => TVar ((v, 0), sort)) (Name.names Name.context "'a" asorts))
in maps (get_consts_class tyco ty) (super_sort sort) end;
val cs = maps get_consts_sort arities;
fun mk_typnorm thy (ty, ty_sc) =
case try (Sign.typ_match thy (Logic.varifyT ty_sc, ty)) Vartab.empty
of SOME env => SOME (Logic.varifyT #> Envir.typ_subst_TVars env #> Logic.unvarifyT)
| NONE => NONE;
fun read_defs defs cs thy_read =
let
fun read raw_def cs =
let
val (c, (inst, ((name_opt, t), atts))) = read_def thy_read raw_def;
val ty = Consts.instance (Sign.consts_of thy_read) (c, inst);
val ((tyco, class), ty') = case AList.lookup (op =) cs c
of NONE => error ("illegal definition for constant " ^ quote c)
| SOME class_ty => class_ty;
val name = case name_opt
of NONE => Thm.def_name (Logic.name_arity (tyco, [], c))
| SOME name => name;
val t' = case mk_typnorm thy_read (ty', ty)
of NONE => error ("illegal definition for constant " ^
quote (c ^ "::" ^ setmp show_sorts true
(Sign.string_of_typ thy_read) ty))
| SOME norm => map_types norm t
in (((class, tyco), ((name, t'), atts)), AList.delete (op =) c cs) end;
in fold_map read defs cs end;
val (defs, _) = read_defs raw_defs cs
(fold Sign.primitive_arity arities (Theory.copy theory));
fun get_remove_contraint c thy =
let
val ty = Sign.the_const_constraint thy c;
in
thy
|> Sign.add_const_constraint_i (c, NONE)
|> pair (c, Logic.unvarifyT ty)
end;
fun add_defs defs thy =
thy
|> PureThy.add_defs_i true (map ((apsnd o map) (Attrib.attribute thy) o snd) defs)
|-> (fn thms => pair (map fst defs ~~ thms));
fun after_qed cs defs thy =
thy
|> fold Sign.add_const_constraint_i (map (apsnd SOME) cs)
|> fold (Code.add_func false o snd) defs;
in
theory
|> fold_map get_remove_contraint (map fst cs |> distinct (op =))
||>> add_defs defs
|-> (fn (cs, defs) => do_proof (after_qed cs defs) arities)
end;
fun instance_arity_cmd' do_proof = gen_instance_arity Sign.read_arity read_def_cmd do_proof;
fun instance_arity' do_proof = gen_instance_arity Sign.cert_arity read_def do_proof;
fun tactic_proof tac after_qed arities =
fold (fn arity => AxClass.prove_arity arity tac) arities
#> after_qed;
in
val instance_arity_cmd = instance_arity_cmd' axclass_instance_arity;
val instance_arity = instance_arity' axclass_instance_arity;
val prove_instance_arity = instance_arity' o tactic_proof;
end; (*local*)
(** combining locales and axclasses **)
(* theory data *)
datatype class_data = ClassData of {
locale: string,
consts: (string * string) list
(*locale parameter ~> toplevel theory constant*),
v: string option,
intro: thm
} * thm list (*derived defs*);
fun rep_classdata (ClassData c) = c;
fun merge_pair f1 f2 ((x1, y1), (x2, y2)) = (f1 (x1, x2), f2 (y1, y2));
structure ClassData = TheoryDataFun
(
type T = class_data Graph.T * class Symtab.table (*locale name ~> class name*);
val empty = (Graph.empty, Symtab.empty);
val copy = I;
val extend = I;
fun merge _ = merge_pair (Graph.merge (K true)) (Symtab.merge (K true));
);
(* queries *)
val lookup_class_data = Option.map rep_classdata oo try o Graph.get_node o fst o ClassData.get;
fun class_of_locale thy = Symtab.lookup ((snd o ClassData.get) thy);
fun the_class_data thy class =
case lookup_class_data thy class
of NONE => error ("undeclared class " ^ quote class)
| SOME data => data;
val ancestry = Graph.all_succs o fst o ClassData.get;
fun param_map thy =
let
fun params class =
let
val const_typs = (#params o AxClass.get_definition thy) class;
val const_names = (#consts o fst o the_class_data thy) class;
in
(map o apsnd) (fn c => (c, (the o AList.lookup (op =) const_typs) c)) const_names
end;
in maps params o ancestry thy end;
fun these_defs thy = maps (these o Option.map snd o lookup_class_data thy) o ancestry thy;
fun these_intros thy =
Graph.fold (fn (_, (data, _)) => insert Thm.eq_thm ((#intro o fst o rep_classdata) data))
((fst o ClassData.get) thy) [];
fun print_classes thy =
let
val algebra = Sign.classes_of thy;
val arities =
Symtab.empty
|> Symtab.fold (fn (tyco, arities) => fold (fn (class, _) =>
Symtab.map_default (class, []) (insert (op =) tyco)) arities)
((#arities o Sorts.rep_algebra) algebra);
val the_arities = these o Symtab.lookup arities;
fun mk_arity class tyco =
let
val Ss = Sorts.mg_domain algebra tyco [class];
in Sign.pretty_arity thy (tyco, Ss, [class]) end;
fun mk_param (c, ty) = Pretty.str (Sign.extern_const thy c ^ " :: "
^ setmp show_sorts false (Sign.string_of_typ thy o Type.strip_sorts) ty);
fun mk_entry class = (Pretty.block o Pretty.fbreaks o map_filter I) [
(SOME o Pretty.str) ("class " ^ class ^ ":"),
(SOME o Pretty.block) [Pretty.str "supersort: ",
(Sign.pretty_sort thy o Sign.certify_sort thy o Sign.super_classes thy) class],
Option.map (Pretty.str o prefix "locale: " o #locale o fst) (lookup_class_data thy class),
((fn [] => NONE | ps => (SOME o Pretty.block o Pretty.fbreaks) (Pretty.str "parameters:" :: ps)) o map mk_param
o these o Option.map #params o try (AxClass.get_definition thy)) class,
(SOME o Pretty.block o Pretty.breaks) [
Pretty.str "instances:",
Pretty.list "" "" (map (mk_arity class) (the_arities class))
]
]
in
(Pretty.writeln o Pretty.chunks o separate (Pretty.str "") o map mk_entry o Sorts.all_classes)
algebra
end;
(* updaters *)
fun add_class_data ((class, superclasses), (locale, consts, v, intro)) =
ClassData.map (fn (gr, tab) => (
gr
|> Graph.new_node (class, ClassData ({ locale = locale, consts = consts,
v = v, intro = intro }, []))
|> fold (curry Graph.add_edge class) superclasses,
tab
|> Symtab.update (locale, class)
));
fun add_class_const_thm (class, thm) = (ClassData.map o apfst o Graph.map_node class)
(fn ClassData (data, thms) => ClassData (data, thm :: thms));
(* tactics and methods *)
fun intro_classes_tac facts st =
let
val thy = Thm.theory_of_thm st;
val classes = Sign.all_classes thy;
val class_trivs = map (Thm.class_triv thy) classes;
val class_intros = these_intros thy;
fun add_axclass_intro class =
case try (AxClass.get_definition thy) class of SOME {intro, ...} => cons intro | _ => I;
val axclass_intros = fold add_axclass_intro classes [];
in
st
|> ((ALLGOALS (Method.insert_tac facts THEN'
REPEAT_ALL_NEW (resolve_tac (class_trivs @ class_intros @ axclass_intros))))
THEN Tactic.distinct_subgoals_tac)
end;
fun default_intro_classes_tac [] = intro_classes_tac []
| default_intro_classes_tac _ = Tactical.no_tac; (*no error message!*)
fun default_tac rules ctxt facts =
HEADGOAL (Method.some_rule_tac rules ctxt facts) ORELSE
default_intro_classes_tac facts;
val _ = Context.add_setup (Method.add_methods
[("intro_classes", Method.no_args (Method.METHOD intro_classes_tac),
"back-chain introduction rules of classes"),
("default", Method.thms_ctxt_args (Method.METHOD oo default_tac),
"apply some intro/elim rule")]);
(* tactical interfaces to locale commands *)
fun prove_interpretation tac prfx_atts expr insts thy =
thy
|> Locale.interpretation_i I prfx_atts expr insts
|> Proof.global_terminal_proof (Method.Basic (K (Method.SIMPLE_METHOD tac), Position.none), NONE)
|> ProofContext.theory_of;
fun prove_interpretation_in tac after_qed (name, expr) thy =
thy
|> Locale.interpretation_in_locale (ProofContext.theory after_qed) (name, expr)
|> Proof.global_terminal_proof (Method.Basic (K (Method.SIMPLE_METHOD tac), Position.none), NONE)
|> ProofContext.theory_of;
(* constructing class introduction and other rules from axclass and locale rules *)
fun mk_instT class = Symtab.empty
|> Symtab.update (AxClass.param_tyvarname, TFree (AxClass.param_tyvarname, [class]));
fun mk_inst class param_names cs =
Symtab.empty
|> fold2 (fn v => fn (c, ty) => Symtab.update (v, Const
(c, Term.map_type_tfree (fn (v, _) => TFree (v, [class])) ty))) param_names cs;
fun OF_LAST thm1 thm2 =
let
val n = (length o Logic.strip_imp_prems o prop_of) thm2;
in (thm1 RSN (n, thm2)) end;
fun strip_all_ofclass thy sort =
let
val typ = TVar ((AxClass.param_tyvarname, 0), sort);
fun prem_inclass t =
case Logic.strip_imp_prems t
of ofcls :: _ => try Logic.dest_inclass ofcls
| [] => NONE;
fun strip_ofclass class thm =
thm OF (fst o AxClass.of_sort thy (typ, [class])) AxClass.cache;
fun strip thm = case (prem_inclass o Thm.prop_of) thm
of SOME (_, class) => thm |> strip_ofclass class |> strip
| NONE => thm;
in strip end;
fun class_intro thy locale class sups =
let
fun class_elim class =
case (map Drule.unconstrainTs o #axioms o AxClass.get_definition thy) class
of [thm] => SOME thm
| [] => NONE;
val pred_intro = case Locale.intros thy locale
of ([ax_intro], [intro]) => intro |> OF_LAST ax_intro |> SOME
| ([intro], []) => SOME intro
| ([], [intro]) => SOME intro
| _ => NONE;
val pred_intro' = pred_intro
|> Option.map (fn intro => intro OF map_filter class_elim sups);
val class_intro = (#intro o AxClass.get_definition thy) class;
val raw_intro = case pred_intro'
of SOME pred_intro => class_intro |> OF_LAST pred_intro
| NONE => class_intro;
val sort = Sign.super_classes thy class;
val typ = TVar ((AxClass.param_tyvarname, 0), sort);
val defs = these_defs thy sups;
in
raw_intro
|> Drule.instantiate' [SOME (Thm.ctyp_of thy typ)] []
|> strip_all_ofclass thy sort
|> Thm.strip_shyps
|> MetaSimplifier.rewrite_rule defs
|> Drule.unconstrainTs
end;
fun interpretation_in_rule thy (class1, class2) =
let
val (params, consts) = split_list (param_map thy [class1]);
(*FIXME also remember this at add_class*)
fun mk_axioms class =
let
val name_locale = (#locale o fst o the_class_data thy) class;
val inst = mk_inst class params consts;
in
Locale.global_asms_of thy name_locale
|> maps snd
|> (map o map_aterms) (fn Free (s, _) => (the o Symtab.lookup inst) s | t => t)
|> (map o map_types o map_atyps) (fn TFree _ => TFree ("'a", [class1]) | T => T)
|> map (ObjectLogic.ensure_propT thy)
end;
val (prems, concls) = pairself mk_axioms (class1, class2);
in
Goal.prove_global thy [] prems (Logic.mk_conjunction_list concls)
(Locale.intro_locales_tac true (ProofContext.init thy))
end;
(* classes *)
local
fun read_param thy raw_t =
let
val t = Sign.read_term thy raw_t
in case try dest_Const t
of SOME (c, _) => c
| NONE => error ("Not a constant: " ^ Sign.string_of_term thy t)
end;
fun gen_class add_locale prep_class prep_param bname
raw_supclasses raw_elems raw_other_consts thy =
let
(*FIXME need proper concept for reading locale statements*)
fun subst_classtyvar (_, _) =
TFree (AxClass.param_tyvarname, [])
| subst_classtyvar (v, sort) =
error ("Sort constraint illegal in type class, for type variable " ^ v ^ "::" ^ Sign.string_of_sort thy sort);
(*val subst_classtyvars = Element.map_ctxt {name = I, var = I, term = I,
typ = Term.map_type_tfree subst_classtyvar, fact = I, attrib = I};*)
val other_consts = map (prep_param thy) raw_other_consts;
val (elems, includes) = fold_rev (fn Locale.Elem e => apfst (cons e)
| Locale.Expr i => apsnd (cons i)) raw_elems ([], []);
val supclasses = map (prep_class thy) raw_supclasses;
val sups = filter (is_some o lookup_class_data thy) supclasses
|> Sign.certify_sort thy;
val supsort = Sign.certify_sort thy supclasses;
val suplocales = map (Locale.Locale o #locale o fst o the_class_data thy) sups;
val supexpr = Locale.Merge (suplocales @ includes);
val supparams = (map fst o Locale.parameters_of_expr thy)
(Locale.Merge suplocales);
val supconsts = AList.make (the o AList.lookup (op =) (param_map thy sups))
(map fst supparams);
(*val elems_constrains = map
(Element.Constrains o apsnd (Term.map_type_tfree subst_classtyvar)) supparams;*)
fun mk_tyvar (_, sort) = TFree (AxClass.param_tyvarname,
if Sign.subsort thy (supsort, sort) then sort else error
("Sort " ^ Sign.string_of_sort thy sort
^ " is less general than permitted least general sort "
^ Sign.string_of_sort thy supsort));
fun extract_params thy name_locale =
let
val params = Locale.parameters_of thy name_locale;
val v = case (maps typ_tfrees o map (snd o fst)) params
of (v, _) :: _ => SOME v
| _ => NONE;
in
(v, (map (fst o fst) params, params
|> (map o apfst o apsnd o Term.map_type_tfree) mk_tyvar
|> (map o apsnd) (fork_mixfix true NONE #> fst)
|> chop (length supconsts)
|> snd))
end;
fun extract_assumes name_locale params thy cs =
let
val consts = supconsts @ (map (fst o fst) params ~~ cs);
fun subst (Free (c, ty)) =
Const ((fst o the o AList.lookup (op =) consts) c, ty)
| subst t = t;
val super_defs = these_defs thy sups;
fun prep_asm ((name, atts), ts) =
((NameSpace.base name, map (Attrib.attribute thy) atts),
(map o map_aterms) ((*MetaSimplifier.rewrite_term thy super_defs [] o *)subst) ts);
in
Locale.global_asms_of thy name_locale
|> map prep_asm
end;
fun note_intro name_axclass class_intro =
PureThy.note_thmss_qualified "" ((Logic.const_of_class o NameSpace.base) name_axclass)
[(("intro", []), [([class_intro], [])])]
#> snd
in
thy
|> add_locale (SOME "") bname supexpr ((*elems_constrains @*) elems)
|-> (fn name_locale => ProofContext.theory_result (
`(fn thy => extract_params thy name_locale)
#-> (fn (v, (param_names, params)) =>
axclass_params (bname, supsort) params (extract_assumes name_locale params) other_consts
#-> (fn (name_axclass, ((_, (ax_terms, ax_axioms)), consts)) =>
`(fn thy => class_intro thy name_locale name_axclass sups)
#-> (fn class_intro =>
add_class_data ((name_axclass, sups),
(name_locale, map (fst o fst) params ~~ map fst consts, v,
class_intro))
(*FIXME: class_data should already contain data relevant
for interpretation; use this later for class target*)
(*FIXME: general export_fixes which may be parametrized
with pieces of an emerging class*)
#> note_intro name_axclass class_intro
#> prove_interpretation ((ALLGOALS o ProofContext.fact_tac) ax_axioms)
((false, Logic.const_of_class bname), []) (Locale.Locale name_locale)
((mk_instT name_axclass, mk_inst name_axclass param_names (map snd supconsts @ consts)), [])
#> pair name_axclass
)))))
end;
in
val class_cmd = gen_class Locale.add_locale Sign.intern_class read_param;
val class = gen_class Locale.add_locale_i Sign.certify_class (K I);
end; (*local*)
local
fun instance_subclass (class1, class2) thy =
let
val interp = interpretation_in_rule thy (class1, class2);
val ax = #axioms (AxClass.get_definition thy class1);
val intro = #intro (AxClass.get_definition thy class2)
|> Drule.instantiate' [SOME (Thm.ctyp_of thy
(TVar ((AxClass.param_tyvarname, 0), [class1])))] [];
val thm =
intro
|> OF_LAST (interp OF ax)
|> strip_all_ofclass thy (Sign.super_classes thy class2);
in
thy |> AxClass.add_classrel thm
end;
fun instance_subsort (class, sort) thy =
let
val super_sort = (Graph.all_succs o #classes o Sorts.rep_algebra
o Sign.classes_of) thy sort;
val classes = filter_out (fn class' => Sign.subsort thy ([class], [class']))
(rev super_sort);
in
thy |> fold (curry instance_subclass class) classes
end;
fun instance_sort' do_proof (class, sort) theory =
let
val loc_name = (#locale o fst o the_class_data theory) class;
val loc_expr =
(Locale.Merge o map (Locale.Locale o #locale o fst o the_class_data theory)) sort;
in
theory
|> do_proof (instance_subsort (class, sort)) (loc_name, loc_expr)
end;
fun gen_instance_sort prep_class prep_sort (raw_class, raw_sort) theory =
let
val class = prep_class theory raw_class;
val sort = prep_sort theory raw_sort;
in
theory
|> instance_sort' (Locale.interpretation_in_locale o ProofContext.theory) (class, sort)
end;
fun gen_instance_class prep_class (raw_class, raw_superclass) theory =
let
val class = prep_class theory raw_class;
val superclass = prep_class theory raw_superclass;
in
theory
|> axclass_instance_sort (class, superclass)
end;
in
val instance_sort_cmd = gen_instance_sort Sign.read_class Syntax.global_read_sort;
val instance_sort = gen_instance_sort Sign.certify_class Sign.certify_sort;
val prove_instance_sort = instance_sort' o prove_interpretation_in;
val instance_class_cmd = gen_instance_class Sign.read_class;
val instance_class = gen_instance_class Sign.certify_class;
end; (*local*)
(** class target **)
fun export_fixes thy class =
let
val v = (#v o fst o the_class_data thy) class;
val constrain_sort = curry (Sorts.inter_sort (Sign.classes_of thy)) [class];
val subst_typ = Term.map_type_tfree (fn var as (w, sort) =>
if SOME w = v then TFree (w, constrain_sort sort) else TFree var);
val consts = param_map thy [class];
fun subst_aterm (t as Free (v, ty)) = (case AList.lookup (op =) consts v
of SOME (c, _) => Const (c, ty)
| NONE => t)
| subst_aterm t = t;
in map_types subst_typ #> Term.map_aterms subst_aterm end;
fun add_const_in_class class ((c, rhs), syn) thy =
let
val prfx = (Logic.const_of_class o NameSpace.base) class;
fun mk_name inject c =
let
val n1 = Sign.full_name thy c;
val n2 = NameSpace.qualifier n1;
val n3 = NameSpace.base n1;
in NameSpace.implode (n2 :: inject @ [n3]) end;
val abbr' = mk_name [prfx, prfx] c;
val rhs' = export_fixes thy class rhs;
val ty' = Term.fastype_of rhs';
val def = (c, Logic.mk_equals (Const (mk_name [prfx] c, ty'), rhs'));
val (syn', _) = fork_mixfix true NONE syn;
fun interpret def =
let
val def' = symmetric def
val tac = (ALLGOALS o ProofContext.fact_tac) [def'];
val name_locale = (#locale o fst o the_class_data thy) class;
val def_eq = Thm.prop_of def';
val (params, consts) = split_list (param_map thy [class]);
in
prove_interpretation tac ((false, prfx), []) (Locale.Locale name_locale)
((mk_instT class, mk_inst class params consts), [def_eq])
#> add_class_const_thm (class, def')
end;
in
thy
|> Sign.hide_consts_i true [abbr']
|> Sign.add_path prfx
|> Sign.add_consts_authentic [(c, ty', syn')]
|> Sign.parent_path
|> Sign.sticky_prefix prfx
|> PureThy.add_defs_i false [(def, [])]
|-> (fn [def] => interpret def)
|> Sign.restore_naming thy
end;
end;