author  haftmann 
Thu, 04 Dec 2008 14:43:33 +0100  
changeset 28965  1de908189869 
parent 28941  128459bd72d2 
child 29006  abe0f11cfa4e 
permissions  rwrr 
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(* Title: Pure/Isar/class.ML 
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ID: $Id$ 

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Author: Florian Haftmann, TU Muenchen 

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Type classes derived from primitive axclasses and locales. 

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*) 

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signature CLASS = 

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sig 

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(*classes*) 
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val class: bstring > class list > Element.context_i list 
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> theory > string * Proof.context 
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val class_cmd: bstring > xstring list > Element.context list 
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> theory > string * Proof.context 
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val init: class > theory > Proof.context 
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val declare: class > Properties.T 
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> (string * mixfix) * term > theory > theory 
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val abbrev: class > Syntax.mode > Properties.T 
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> (string * mixfix) * term > theory > theory 
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val refresh_syntax: class > Proof.context > Proof.context 
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val intro_classes_tac: thm list > tactic 
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val default_intro_tac: Proof.context > thm list > tactic 
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val prove_subclass: class * class > thm option > theory > theory 
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val class_prefix: string > string 

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val is_class: theory > class > bool 

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val these_params: theory > sort > (string * (class * (string * typ))) list 
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val print_classes: theory > unit 
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(*instances*) 
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val init_instantiation: string list * (string * sort) list * sort 
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> theory > local_theory 

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val instantiation_instance: (local_theory > local_theory) 

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> local_theory > Proof.state 

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val prove_instantiation_instance: (Proof.context > tactic) 

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> local_theory > local_theory 

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val prove_instantiation_exit: (Proof.context > tactic) 
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> local_theory > theory 

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val prove_instantiation_exit_result: (morphism > 'a > 'b) 

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> (Proof.context > 'b > tactic) > 'a > local_theory > 'b * theory 

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val conclude_instantiation: local_theory > local_theory 
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val instantiation_param: local_theory > string > string option 
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val confirm_declaration: string > local_theory > local_theory 
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val pretty_instantiation: local_theory > Pretty.T 
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val type_name: string > string 
25485  48 

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(*old axclass layer*) 
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val axclass_cmd: bstring * xstring list 

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> (Attrib.binding * string list) list 
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> theory > class * theory 
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val classrel_cmd: xstring * xstring > theory > Proof.state 

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(*old instance layer*) 

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val instance_arity: (theory > theory) > arity > theory > Proof.state 
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val instance_arity_cmd: bstring * xstring list * xstring > theory > Proof.state 

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end; 
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structure Class : CLASS = 

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struct 

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(** auxiliary **) 

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fun prove_interpretation tac prfx_atts expr inst = 
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Locale.interpretation I prfx_atts expr inst 
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##> Proof.global_terminal_proof 
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(Method.Basic (fn ctxt => Method.SIMPLE_METHOD (tac ctxt), Position.none), NONE) 
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##> ProofContext.theory_of; 
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fun prove_interpretation_in tac after_qed (name, expr) = 
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Locale.interpretation_in_locale 
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(ProofContext.theory after_qed) (name, expr) 
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#> Proof.global_terminal_proof 
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(Method.Basic (K (Method.SIMPLE_METHOD tac), Position.none), NONE) 
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#> ProofContext.theory_of; 
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val class_prefix = Logic.const_of_class o Sign.base_name; 
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fun class_name_morphism class = 
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Binding.map_prefix (K (Binding.add_prefix false (class_prefix class))); 
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fun activate_class_morphism thy class inst morphism = 
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Locale.get_interpret_morph thy (class_name_morphism class) (class, "") morphism class inst; 
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fun prove_class_interpretation class inst consts hyp_facts def_facts thy = 
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let 
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val constraints = map (fn (class, c) => map_atyps (K (TFree (Name.aT, 
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[class]))) (Sign.the_const_type thy c)) consts; 
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val no_constraints = map (map_atyps (K (TFree (Name.aT, [])))) constraints; 
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fun add_constraint c T = Sign.add_const_constraint (c, SOME T); 
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fun tac ctxt = ALLGOALS (ProofContext.fact_tac (hyp_facts @ def_facts) 
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ORELSE' (fn n => SELECT_GOAL (Locale.intro_locales_tac false ctxt []) n)); 
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val prfx = class_prefix class; 
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in 
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thy 
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> fold2 add_constraint (map snd consts) no_constraints 
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> prove_interpretation tac (class_name_morphism class) (Locale.Locale class) 
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(map SOME inst, map (pair (Attrib.empty_binding) o Thm.prop_of) def_facts) 
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> fold2 add_constraint (map snd consts) constraints 
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end; 
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(** primitive axclass and instance commands **) 
24589  105 

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fun axclass_cmd (class, raw_superclasses) raw_specs thy = 
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let 

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val ctxt = ProofContext.init thy; 

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val superclasses = map (Sign.read_class thy) raw_superclasses; 

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val name_atts = map ((apsnd o map) (Attrib.attribute thy) o fst) 
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raw_specs; 

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val axiomss = ProofContext.read_propp (ctxt, map (map (rpair []) o snd) 

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raw_specs) 

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> snd 
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> (map o map) fst; 

24589  116 
in 
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AxClass.define_class (class, superclasses) [] 

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(name_atts ~~ axiomss) thy 

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end; 

24218  120 

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local 

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fun gen_instance mk_prop add_thm after_qed insts thy = 

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let 

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fun after_qed' results = 

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ProofContext.theory ((fold o fold) add_thm results #> after_qed); 

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in 

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thy 

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> ProofContext.init 

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> Proof.theorem_i NONE after_qed' ((map (fn t => [(t, [])]) 
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o mk_prop thy) insts) 
24218  132 
end; 
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in 

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val instance_arity = 
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gen_instance (Logic.mk_arities oo Sign.cert_arity) AxClass.add_arity; 
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val instance_arity_cmd = 
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gen_instance (Logic.mk_arities oo Sign.read_arity) AxClass.add_arity I; 

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val classrel = 
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gen_instance (single oo (Logic.mk_classrel oo AxClass.cert_classrel)) AxClass.add_classrel I; 
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val classrel_cmd = 
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gen_instance (single oo (Logic.mk_classrel oo AxClass.read_classrel)) AxClass.add_classrel I; 
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end; (*local*) 

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(** class data **) 
24218  149 

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datatype class_data = ClassData of { 

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(* static part *) 
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consts: (string * string) list 
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(*locale parameter ~> constant name*), 
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base_sort: sort, 
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inst: term list 
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(*canonical interpretation*), 
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morphism: Morphism.morphism * ((typ Vartab.table * typ list) * (term Vartab.table * term list)) 
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(*morphism cookie of canonical interpretation*), 
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assm_intro: thm option, 
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of_class: thm, 

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axiom: thm option, 

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(* dynamic part *) 
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defs: thm list, 
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operations: (string * (class * (typ * term))) list 
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}; 
24218  169 

24657  170 
fun rep_class_data (ClassData d) = d; 
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fun mk_class_data ((consts, base_sort, inst, morphism, assm_intro, of_class, axiom), 
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(defs, operations)) = 
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ClassData { consts = consts, base_sort = base_sort, inst = inst, 
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morphism = morphism, assm_intro = assm_intro, of_class = of_class, axiom = axiom, 
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defs = defs, operations = operations }; 
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fun map_class_data f (ClassData { consts, base_sort, inst, morphism, assm_intro, 
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of_class, axiom, defs, operations }) = 
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mk_class_data (f ((consts, base_sort, inst, morphism, assm_intro, of_class, axiom), 
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(defs, operations))); 
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fun merge_class_data _ (ClassData { consts = consts, 
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base_sort = base_sort, inst = inst, morphism = morphism, assm_intro = assm_intro, 
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of_class = of_class, axiom = axiom, defs = defs1, operations = operations1 }, 

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ClassData { consts = _, base_sort = _, inst = _, morphism = _, assm_intro = _, 

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of_class = _, axiom = _, defs = defs2, operations = operations2 }) = 

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mk_class_data ((consts, base_sort, inst, morphism, assm_intro, of_class, axiom), 

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(Thm.merge_thms (defs1, defs2), 
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AList.merge (op =) (K true) (operations1, operations2))); 
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structure ClassData = TheoryDataFun 

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( 

25038  191 
type T = class_data Graph.T 
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val empty = Graph.empty; 

24218  193 
val copy = I; 
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val extend = I; 

25038  195 
fun merge _ = Graph.join merge_class_data; 
24218  196 
); 
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(* queries *) 

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25038  201 
val lookup_class_data = Option.map rep_class_data oo try o Graph.get_node o ClassData.get; 
24218  202 

24589  203 
fun the_class_data thy class = case lookup_class_data thy class 
25020  204 
of NONE => error ("Undeclared class " ^ quote class) 
24589  205 
 SOME data => data; 
24218  206 

25038  207 
val is_class = is_some oo lookup_class_data; 
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val ancestry = Graph.all_succs o ClassData.get; 

24218  210 

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fun the_inst thy = #inst o the_class_data thy; 
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fun these_params thy = 
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let 
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fun params class = 

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let 

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val const_typs = (#params o AxClass.get_info thy) class; 
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val const_names = (#consts o the_class_data thy) class; 
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in 
26518  220 
(map o apsnd) 
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(fn c => (class, (c, (the o AList.lookup (op =) const_typs) c))) const_names 

24218  222 
end; 
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in maps params o ancestry thy end; 

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25618  225 
fun these_assm_intros thy = 
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Graph.fold (fn (_, (data, _)) => fold (insert Thm.eq_thm) 

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((the_list o #assm_intro o rep_class_data) data)) (ClassData.get thy) []; 

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fun these_defs thy = maps (these o Option.map #defs o lookup_class_data thy) o ancestry thy; 
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fun these_operations thy = 
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maps (#operations o the_class_data thy) o ancestry thy; 

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fun morphism thy class = 
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let 
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val { inst, morphism, ... } = the_class_data thy class; 
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in activate_class_morphism thy class inst morphism end; 
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24218  239 
fun print_classes thy = 
240 
let 

24920  241 
val ctxt = ProofContext.init thy; 
24218  242 
val algebra = Sign.classes_of thy; 
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val arities = 

244 
Symtab.empty 

245 
> Symtab.fold (fn (tyco, arities) => fold (fn (class, _) => 

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Symtab.map_default (class, []) (insert (op =) tyco)) arities) 

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((#arities o Sorts.rep_algebra) algebra); 

248 
val the_arities = these o Symtab.lookup arities; 

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fun mk_arity class tyco = 

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let 

251 
val Ss = Sorts.mg_domain algebra tyco [class]; 

24920  252 
in Syntax.pretty_arity ctxt (tyco, Ss, [class]) end; 
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fun mk_param (c, ty) = Pretty.str (Sign.extern_const thy c ^ " :: " 
24920  254 
^ setmp show_sorts false (Syntax.string_of_typ ctxt o Type.strip_sorts) ty); 
24218  255 
fun mk_entry class = (Pretty.block o Pretty.fbreaks o map_filter I) [ 
25062  256 
(SOME o Pretty.str) ("class " ^ Sign.extern_class thy class ^ ":"), 
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(SOME o Pretty.block) [Pretty.str "supersort: ", 
24920  258 
(Syntax.pretty_sort ctxt o Sign.minimize_sort thy o Sign.super_classes thy) class], 
25062  259 
if is_class thy class then (SOME o Pretty.str) 
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("locale: " ^ Locale.extern thy class) else NONE, 

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((fn [] => NONE  ps => (SOME o Pretty.block o Pretty.fbreaks) 

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(Pretty.str "parameters:" :: ps)) o map mk_param 

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o these o Option.map #params o try (AxClass.get_info thy)) class, 
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(SOME o Pretty.block o Pretty.breaks) [ 
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Pretty.str "instances:", 

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Pretty.list "" "" (map (mk_arity class) (the_arities class)) 

267 
] 

268 
] 

269 
in 

24589  270 
(Pretty.writeln o Pretty.chunks o separate (Pretty.str "") 
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o map mk_entry o Sorts.all_classes) algebra 

24218  272 
end; 
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(* updaters *) 

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25618  277 
fun add_class_data ((class, superclasses), 
25711  278 
(params, base_sort, inst, phi, axiom, assm_intro, of_class)) thy = 
25002  279 
let 
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val operations = map (fn (v_ty as (_, ty), (c, _)) => 
25683  281 
(c, (class, (ty, Free v_ty)))) params; 
25038  282 
val add_class = Graph.new_node (class, 
25683  283 
mk_class_data (((map o pairself) fst params, base_sort, 
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inst, phi, assm_intro, of_class, axiom), ([], operations))) 
25002  285 
#> fold (curry Graph.add_edge class) superclasses; 
25618  286 
in ClassData.map add_class thy end; 
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fun register_operation class (c, (t, some_def)) thy = 
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let 
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val base_sort = (#base_sort o the_class_data thy) class; 
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val prep_typ = map_type_tvar 
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(fn (vi as (v, _), sort) => if Name.aT = v 

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then TFree (v, base_sort) else TVar (vi, sort)); 
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val t' = map_types prep_typ t; 
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val ty' = Term.fastype_of t'; 
25062  296 
in 
297 
thy 

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> (ClassData.map o Graph.map_node class o map_class_data o apsnd) 

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(fn (defs, operations) => 
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(fold cons (the_list some_def) defs, 
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(c, (class, (ty', t'))) :: operations)) 
25062  302 
end; 
24218  303 

24589  304 

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(** rule calculation, tactics and methods **) 

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fun calculate_axiom thy sups base_sort assm_axiom param_map class = 
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308 
case Locale.intros thy class 
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309 
of (_, []) => assm_axiom 
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310 
 (_, [intro]) => 
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311 
let 
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fun instantiate thy sort = Thm.instantiate ([pairself (Thm.ctyp_of thy o TVar o pair (Name.aT, 0)) 
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(base_sort, sort)], map (fn (v, (c, ty)) => pairself (Thm.cterm_of thy) 
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(Var ((v, 0), map_atyps (fn _ => TVar ((Name.aT, 0), sort)) ty), 
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Const (c, map_atyps (fn _ => TVar ((Name.aT, 0), sort)) ty))) param_map); 
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val axiom_premises = map_filter (#axiom o the_class_data thy) sups 
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317 
@ the_list assm_axiom; 
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318 
in intro 
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319 
> instantiate thy [class] 
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320 
> (fn thm => thm OF axiom_premises) 
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321 
> Drule.standard' 
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322 
> Thm.close_derivation 
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323 
> SOME 
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324 
end; 
25024  325 

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326 
fun calculate_rules thy phi sups base_sort param_map axiom class = 
25062  327 
let 
25711  328 
fun instantiate thy sort = Thm.instantiate ([pairself (Thm.ctyp_of thy o TVar o pair (Name.aT, 0)) 
329 
(base_sort, sort)], map (fn (v, (c, ty)) => pairself (Thm.cterm_of thy) 

330 
(Var ((v, 0), map_atyps (fn _ => TVar ((Name.aT, 0), sort)) ty), 

331 
Const (c, map_atyps (fn _ => TVar ((Name.aT, 0), sort)) ty))) param_map); 

332 
val defs = these_defs thy sups; 

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333 
val assm_intro = Locale.intros thy class 
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334 
> fst 
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335 
> map (instantiate thy base_sort) 
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336 
> map (MetaSimplifier.rewrite_rule defs) 
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337 
> map Thm.close_derivation 
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338 
> try the_single; 
25711  339 
val fixate = Thm.instantiate 
340 
(map (pairself (Thm.ctyp_of thy)) [(TVar ((Name.aT, 0), []), TFree (Name.aT, base_sort)), 

341 
(TVar ((Name.aT, 0), base_sort), TFree (Name.aT, base_sort))], []) 

25618  342 
val of_class_sups = if null sups 
25711  343 
then map (fixate o Thm.class_triv thy) base_sort 
344 
else map (fixate o #of_class o the_class_data thy) sups; 

25683  345 
val locale_dests = map Drule.standard' (Locale.dests thy class); 
25711  346 
val num_trivs = case length locale_dests 
347 
of 0 => if is_none axiom then 0 else 1 

348 
 n => n; 

349 
val pred_trivs = if num_trivs = 0 then [] 

350 
else the axiom 

351 
> Thm.prop_of 

352 
> (map_types o map_atyps o K) (TFree (Name.aT, base_sort)) 

353 
> (Thm.assume o Thm.cterm_of thy) 

354 
> replicate num_trivs; 

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355 
val axclass_intro = (#intro o AxClass.get_info thy) class; 
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val of_class = (fixate axclass_intro OF of_class_sups OF locale_dests OF pred_trivs) 
25711  357 
> Drule.standard' 
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358 
> Thm.close_derivation; 
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359 
in (assm_intro, of_class) end; 
24218  360 

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361 
fun prove_subclass (sub, sup) some_thm thy = 
25618  362 
let 
25711  363 
val of_class = (#of_class o the_class_data thy) sup; 
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364 
val intro = case some_thm 
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365 
of SOME thm => Drule.standard' (of_class OF [Drule.standard' thm]) 
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366 
 NONE => Thm.instantiate ([pairself (Thm.ctyp_of thy o TVar o pair (Name.aT, 0)) 
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367 
([], [sub])], []) of_class; 
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368 
val classrel = (intro OF (the_list o #axiom o the_class_data thy) sub) 
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369 
> Thm.close_derivation; 
25618  370 
in 
371 
thy 

372 
> AxClass.add_classrel classrel 

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373 
> prove_interpretation_in (ALLGOALS (ProofContext.fact_tac (the_list some_thm))) 
25618  374 
I (sub, Locale.Locale sup) 
375 
> ClassData.map (Graph.add_edge (sub, sup)) 

376 
end; 

377 

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378 
fun note_assm_intro class assm_intro thy = 
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379 
thy 
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380 
> Sign.sticky_prefix (class_prefix class ^ "_" ^ AxClass.axiomsN) 
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381 
> PureThy.store_thm (AxClass.introN, assm_intro) 
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382 
> snd 
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383 
> Sign.restore_naming thy; 
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384 

24218  385 
fun intro_classes_tac facts st = 
386 
let 

387 
val thy = Thm.theory_of_thm st; 

388 
val classes = Sign.all_classes thy; 

389 
val class_trivs = map (Thm.class_triv thy) classes; 

25618  390 
val class_intros = map_filter (try (#intro o AxClass.get_info thy)) classes; 
391 
val assm_intros = these_assm_intros thy; 

24218  392 
in 
25618  393 
Method.intros_tac (class_trivs @ class_intros @ assm_intros) facts st 
24218  394 
end; 
395 

26470  396 
fun default_intro_tac ctxt [] = 
397 
intro_classes_tac [] ORELSE Locale.intro_locales_tac true ctxt [] 

398 
 default_intro_tac _ _ = no_tac; 

24218  399 

400 
fun default_tac rules ctxt facts = 

401 
HEADGOAL (Method.some_rule_tac rules ctxt facts) ORELSE 

26470  402 
default_intro_tac ctxt facts; 
24218  403 

26463  404 
val _ = Context.>> (Context.map_theory 
405 
(Method.add_methods 

406 
[("intro_classes", Method.no_args (Method.METHOD intro_classes_tac), 

407 
"backchain introduction rules of classes"), 

408 
("default", Method.thms_ctxt_args (Method.METHOD oo default_tac), 

409 
"apply some intro/elim rule")])); 

410 

24218  411 

24589  412 
(** classes and class target **) 
24218  413 

25002  414 
(* class context syntax *) 
24748  415 

26238  416 
fun synchronize_class_syntax sups base_sort ctxt = 
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417 
let 
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418 
val thy = ProofContext.theory_of ctxt; 
26596  419 
val algebra = Sign.classes_of thy; 
25083  420 
val operations = these_operations thy sups; 
26518  421 
fun subst_class_typ sort = map_type_tfree (K (TVar ((Name.aT, 0), sort))); 
422 
val primary_constraints = 

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423 
(map o apsnd) (subst_class_typ base_sort o fst o snd) operations; 
26518  424 
val secondary_constraints = 
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425 
(map o apsnd) (fn (class, (ty, _)) => subst_class_typ [class] ty) operations; 
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426 
fun declare_const (c, _) = 
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427 
let val b = Sign.base_name c 
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428 
in Sign.intern_const thy b = c ? Variable.declare_const (b, c) end; 
26518  429 
fun improve (c, ty) = (case AList.lookup (op =) primary_constraints c 
26238  430 
of SOME ty' => (case try (Type.raw_match (ty', ty)) Vartab.empty 
431 
of SOME tyenv => (case Vartab.lookup tyenv (Name.aT, 0) 

26596  432 
of SOME (_, ty' as TVar (tvar as (vi, sort))) => 
26238  433 
if TypeInfer.is_param vi 
26596  434 
andalso Sorts.sort_le algebra (base_sort, sort) 
435 
then SOME (ty', TFree (Name.aT, base_sort)) 

436 
else NONE 

26238  437 
 _ => NONE) 
438 
 NONE => NONE) 

439 
 NONE => NONE) 

440 
fun subst (c, ty) = Option.map snd (AList.lookup (op =) operations c); 

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441 
val unchecks = map (fn (c, (_, (ty, t))) => (t, Const (c, ty))) operations; 
25083  442 
in 
443 
ctxt 

26518  444 
> fold declare_const primary_constraints 
445 
> Overloading.map_improvable_syntax (K (((primary_constraints, secondary_constraints), 

26730  446 
(((improve, subst), true), unchecks)), false)) 
26518  447 
> Overloading.set_primary_constraints 
25083  448 
end; 
449 

450 
fun refresh_syntax class ctxt = 

25002  451 
let 
452 
val thy = ProofContext.theory_of ctxt; 

25062  453 
val base_sort = (#base_sort o the_class_data thy) class; 
26238  454 
in synchronize_class_syntax [class] base_sort ctxt end; 
25002  455 

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456 
fun init_ctxt sups base_sort ctxt = 
25083  457 
ctxt 
458 
> Variable.declare_term 

459 
(Logic.mk_type (TFree (Name.aT, base_sort))) 

26238  460 
> synchronize_class_syntax sups base_sort 
461 
> Overloading.add_improvable_syntax; 

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462 

25311  463 
fun init class thy = 
464 
thy 

465 
> Locale.init class 

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466 
> init_ctxt [class] ((#base_sort o the_class_data thy) class); 
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467 

24748  468 

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469 
(* class target *) 
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470 

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471 
fun declare class pos ((c, mx), dict) thy = 
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472 
let 
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473 
val prfx = class_prefix class; 
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474 
val thy' = thy > Sign.add_path prfx; 
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475 
val phi = morphism thy' class; 
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476 
val inst = the_inst thy' class; 
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477 
val params = map (apsnd fst o snd) (these_params thy' [class]); 
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478 

28965  479 
val c' = Sign.full_bname thy' c; 
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480 
val dict' = Morphism.term phi dict; 
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481 
val dict_def = map_types Logic.unvarifyT dict'; 
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482 
val ty' = Term.fastype_of dict_def; 
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483 
val ty'' = Type.strip_sorts ty'; 
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484 
val def_eq = Logic.mk_equals (Const (c', ty'), dict_def); 
28674  485 
fun get_axiom thy = ((Thm.varifyT o Thm.axiom thy) c', thy); 
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486 
in 
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487 
thy' 
28965  488 
> Sign.declare_const pos ((Binding.name c, ty''), mx) > snd 
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489 
> Thm.add_def false false (c, def_eq) 
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490 
>> Thm.symmetric 
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491 
>> get_axiom 
28715
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492 
> (fn (def, def') => prove_class_interpretation class inst params [] [def] 
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493 
#> snd 
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494 
(*assumption: interpretation cookie does not change 
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495 
by adding equations to interpretation*) 
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496 
#> register_operation class (c', (dict', SOME (Thm.symmetric def'))) 
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497 
#> PureThy.store_thm (c ^ "_raw", def') 
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498 
#> snd) 
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499 
> Sign.restore_naming thy 
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500 
> Sign.add_const_constraint (c', SOME ty') 
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501 
end; 
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502 

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503 
fun abbrev class prmode pos ((c, mx), rhs) thy = 
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504 
let 
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505 
val prfx = class_prefix class; 
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506 
val thy' = thy > Sign.add_path prfx; 
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507 

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508 
val unchecks = map (fn (c, (_, (ty, t))) => (t, Const (c, ty))) 
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509 
(these_operations thy [class]); 
28965  510 
val c' = Sign.full_bname thy' c; 
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511 
val rhs' = Pattern.rewrite_term thy unchecks [] rhs; 
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512 
val rhs'' = map_types Logic.varifyT rhs'; 
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513 
val ty' = Term.fastype_of rhs'; 
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514 
in 
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515 
thy' 
28965  516 
> Sign.add_abbrev (#1 prmode) pos (Binding.name c, map_types Type.strip_sorts rhs'') > snd 
27690
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517 
> Sign.add_const_constraint (c', SOME ty') 
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518 
> Sign.notation true prmode [(Const (c', ty'), mx)] 
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519 
> not (#1 prmode = PrintMode.input) ? register_operation class (c', (rhs', NONE)) 
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520 
> Sign.restore_naming thy 
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521 
end; 
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522 

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523 

24589  524 
(* class definition *) 
24218  525 

526 
local 

527 

26247  528 
fun gen_class_spec prep_class process_expr thy raw_supclasses raw_elems = 
24218  529 
let 
24748  530 
val supclasses = map (prep_class thy) raw_supclasses; 
531 
val supsort = Sign.minimize_sort thy supclasses; 

25618  532 
val sups = filter (is_class thy) supsort; 
26995  533 
val supparam_names = map fst (these_params thy sups); 
534 
val _ = if has_duplicates (op =) supparam_names 

535 
then error ("Duplicate parameter(s) in superclasses: " 

536 
^ (commas o map quote o duplicates (op =)) supparam_names) 

537 
else (); 

25618  538 
val base_sort = if null sups then supsort else 
26167  539 
foldr1 (Sorts.inter_sort (Sign.classes_of thy)) 
540 
(map (#base_sort o the_class_data thy) sups); 

25038  541 
val suplocales = map Locale.Locale sups; 
24748  542 
val supexpr = Locale.Merge suplocales; 
543 
val supparams = (map fst o Locale.parameters_of_expr thy) supexpr; 

26247  544 
val mergeexpr = Locale.Merge (suplocales); 
24748  545 
val constrain = Element.Constrains ((map o apsnd o map_atyps) 
26167  546 
(K (TFree (Name.aT, base_sort))) supparams); 
25683  547 
fun fork_syn (Element.Fixes xs) = 
28083
103d9282a946
explicit type Name.binding for higherspecification elements;
wenzelm
parents:
28017
diff
changeset

548 
fold_map (fn (c, ty, syn) => cons (Name.name_of c, syn) #> pair (c, ty, NoSyn)) xs 
25683  549 
#>> Element.Fixes 
550 
 fork_syn x = pair x; 

551 
fun fork_syntax elems = 

552 
let 

553 
val (elems', global_syntax) = fold_map fork_syn elems []; 

26247  554 
in (constrain :: elems', global_syntax) end; 
25683  555 
val (elems, global_syntax) = 
556 
ProofContext.init thy 

557 
> Locale.cert_expr supexpr [constrain] 

558 
> snd 

559 
> init_ctxt sups base_sort 

560 
> process_expr Locale.empty raw_elems 

561 
> fst 

562 
> fork_syntax 

563 
in (((sups, supparams), (supsort, base_sort, mergeexpr)), (elems, global_syntax)) end; 

24748  564 

26247  565 
val read_class_spec = gen_class_spec Sign.intern_class Locale.read_expr; 
566 
val check_class_spec = gen_class_spec (K I) Locale.cert_expr; 

24748  567 

28715
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

568 
fun add_consts bname class base_sort sups supparams global_syntax thy = 
24968
f9bafc868847
replaced Sign.add_consts_authentic by Sign.declare_const;
wenzelm
parents:
24949
diff
changeset

569 
let 
25683  570 
val supconsts = map fst supparams 
26518  571 
> AList.make (snd o the o AList.lookup (op =) (these_params thy sups)) 
25683  572 
> (map o apsnd o apsnd o map_atyps o K o TFree) (Name.aT, [class]); 
573 
val all_params = map fst (Locale.parameters_of thy class); 

28715
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

574 
val raw_params = (snd o chop (length supparams)) all_params; 
25683  575 
fun add_const (v, raw_ty) thy = 
576 
let 

28965  577 
val c = Sign.full_bname thy v; 
25683  578 
val ty = map_atyps (K (TFree (Name.aT, base_sort))) raw_ty; 
579 
val ty0 = Type.strip_sorts ty; 

580 
val ty' = map_atyps (K (TFree (Name.aT, [class]))) ty0; 

581 
val syn = (the_default NoSyn o AList.lookup (op =) global_syntax) v; 

582 
in 

583 
thy 

28965  584 
> Sign.declare_const [] ((Binding.name v, ty0), syn) 
25683  585 
> snd 
586 
> pair ((v, ty), (c, ty')) 

587 
end; 

28715
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

588 
in 
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

589 
thy 
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

590 
> Sign.add_path (Logic.const_of_class bname) 
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

591 
> fold_map add_const raw_params 
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

592 
> Sign.restore_naming thy 
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

593 
> (fn params => pair (supconsts @ (map o apfst) fst params, params)) 
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

594 
end; 
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

595 

238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

596 
fun adjungate_axclass bname class base_sort sups supsort supparams global_syntax thy = 
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

597 
let 
25683  598 
fun globalize param_map = map_aterms 
599 
(fn Free (v, ty) => Const ((fst o the o AList.lookup (op =) param_map) v, ty) 

600 
 t => t); 

601 
val raw_pred = Locale.intros thy class 

602 
> fst 

603 
> map (Logic.unvarify o Logic.strip_imp_concl o Thm.prop_of); 

604 
fun get_axiom thy = case (#axioms o AxClass.get_info thy) class 

605 
of [] => NONE 

606 
 [thm] => SOME thm; 

24968
f9bafc868847
replaced Sign.add_consts_authentic by Sign.declare_const;
wenzelm
parents:
24949
diff
changeset

607 
in 
f9bafc868847
replaced Sign.add_consts_authentic by Sign.declare_const;
wenzelm
parents:
24949
diff
changeset

608 
thy 
28715
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

609 
> add_consts bname class base_sort sups supparams global_syntax 
25683  610 
> (fn (param_map, params) => AxClass.define_class (bname, supsort) 
26518  611 
(map (fst o snd) params) 
28965  612 
[((Binding.name (bname ^ "_" ^ AxClass.axiomsN), []), map (globalize param_map) raw_pred)] 
25683  613 
#> snd 
614 
#> `get_axiom 

615 
#> (fn assm_axiom => fold (Sign.add_const_constraint o apsnd SOME o snd) params 

28715
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

616 
#> pair (map (Const o snd) param_map, param_map, params, assm_axiom))) 
24968
f9bafc868847
replaced Sign.add_consts_authentic by Sign.declare_const;
wenzelm
parents:
24949
diff
changeset

617 
end; 
f9bafc868847
replaced Sign.add_consts_authentic by Sign.declare_const;
wenzelm
parents:
24949
diff
changeset

618 

26518  619 
fun gen_class prep_spec bname raw_supclasses raw_elems thy = 
24748  620 
let 
28965  621 
val class = Sign.full_bname thy bname; 
25683  622 
val (((sups, supparams), (supsort, base_sort, mergeexpr)), (elems, global_syntax)) = 
26247  623 
prep_spec thy raw_supclasses raw_elems; 
28715
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

624 
val supconsts = map (apsnd fst o snd) (these_params thy sups); 
24218  625 
in 
626 
thy 

28822
7ca11ecbc4fb
explicit name morphism function for locale interpretation
haftmann
parents:
28739
diff
changeset

627 
> Locale.add_locale "" bname mergeexpr elems 
25038  628 
> snd 
25311  629 
> ProofContext.theory_of 
26518  630 
> adjungate_axclass bname class base_sort sups supsort supparams global_syntax 
28715
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

631 
> (fn (inst, param_map, params, assm_axiom) => 
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

632 
`(fn thy => calculate_axiom thy sups base_sort assm_axiom param_map class) 
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

633 
#> (fn axiom => 
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

634 
prove_class_interpretation class inst 
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

635 
(supconsts @ map (pair class o fst o snd) params) (the_list axiom) [] 
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

636 
#> (fn morphism => 
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

637 
`(fn thy => activate_class_morphism thy class inst morphism) 
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

638 
#> (fn phi => 
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

639 
`(fn thy => calculate_rules thy phi sups base_sort param_map axiom class) 
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

640 
#> (fn (assm_intro, of_class) => 
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

641 
add_class_data ((class, sups), (params, base_sort, inst, 
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

642 
morphism, axiom, assm_intro, of_class)) 
238f9966c80e
class morphism stemming from locale interpretation
haftmann
parents:
28674
diff
changeset

643 
#> fold (note_assm_intro class) (the_list assm_intro)))))) 
25268  644 
> init class 
25038  645 
> pair class 
24218  646 
end; 
647 

648 
in 

649 

26518  650 
val class_cmd = gen_class read_class_spec; 
651 
val class = gen_class check_class_spec; 

24218  652 

653 
end; (*local*) 

654 

655 

25462  656 

657 
(** instantiation target **) 

658 

659 
(* bookkeeping *) 

660 

661 
datatype instantiation = Instantiation of { 

25864  662 
arities: string list * (string * sort) list * sort, 
25462  663 
params: ((string * string) * (string * typ)) list 
25603  664 
(*(instantiation parameter, type constructor), (local instantiation parameter, typ)*) 
25462  665 
} 
666 

667 
structure Instantiation = ProofDataFun 

668 
( 

669 
type T = instantiation 

25536  670 
fun init _ = Instantiation { arities = ([], [], []), params = [] }; 
25462  671 
); 
672 

25485  673 
fun mk_instantiation (arities, params) = 
674 
Instantiation { arities = arities, params = params }; 

25514  675 
fun get_instantiation lthy = case Instantiation.get (LocalTheory.target_of lthy) 
25485  676 
of Instantiation data => data; 
25514  677 
fun map_instantiation f = (LocalTheory.target o Instantiation.map) 
678 
(fn Instantiation { arities, params } => mk_instantiation (f (arities, params))); 

25462  679 

25514  680 
fun the_instantiation lthy = case get_instantiation lthy 
25536  681 
of { arities = ([], [], []), ... } => error "No instantiation target" 
25485  682 
 data => data; 
25462  683 

25485  684 
val instantiation_params = #params o get_instantiation; 
25462  685 

25514  686 
fun instantiation_param lthy v = instantiation_params lthy 
25462  687 
> find_first (fn (_, (v', _)) => v = v') 
688 
> Option.map (fst o fst); 

689 

690 

691 
(* syntax *) 

692 

26238  693 
fun synchronize_inst_syntax ctxt = 
25462  694 
let 
26259  695 
val Instantiation { arities = (_, _, sort), params = params } = Instantiation.get ctxt; 
26238  696 
val thy = ProofContext.theory_of ctxt; 
697 
fun subst (c, ty) = case AxClass.inst_tyco_of thy (c, ty) 

698 
of SOME tyco => (case AList.lookup (op =) params (c, tyco) 

699 
of SOME (v_ty as (_, ty)) => SOME (ty, Free v_ty) 

700 
 NONE => NONE) 

701 
 NONE => NONE; 

702 
val unchecks = 

703 
map (fn ((c, _), v_ty as (_, ty)) => (Free v_ty, Const (c, ty))) params; 

704 
in 

705 
ctxt 

26259  706 
> Overloading.map_improvable_syntax 
26730  707 
(fn (((primary_constraints, _), (((improve, _), _), _)), _) => 
708 
(((primary_constraints, []), (((improve, subst), false), unchecks)), false)) 

26238  709 
end; 
25462  710 

711 

712 
(* target *) 

713 

25485  714 
val sanatize_name = (*FIXME*) 
715 
let 

25574  716 
fun is_valid s = Symbol.is_ascii_letter s orelse Symbol.is_ascii_digit s 
717 
orelse s = "'" orelse s = "_"; 

25485  718 
val is_junk = not o is_valid andf Symbol.is_regular; 
719 
val junk = Scan.many is_junk; 

720 
val scan_valids = Symbol.scanner "Malformed input" 

721 
((junk  

722 
(Scan.optional (Scan.one Symbol.is_ascii_letter) "x" ^^ (Scan.many is_valid >> implode) 

723 
 junk)) 

25999  724 
::: Scan.repeat ((Scan.many1 is_valid >> implode)  junk)); 
25485  725 
in 
726 
explode #> scan_valids #> implode 

727 
end; 

728 

26259  729 
fun type_name "*" = "prod" 
730 
 type_name "+" = "sum" 

731 
 type_name s = sanatize_name (NameSpace.base s); (*FIXME*) 

732 

26518  733 
fun resort_terms pp algebra consts constraints ts = 
734 
let 

735 
fun matchings (Const (c_ty as (c, _))) = (case constraints c 

736 
of NONE => I 

737 
 SOME sorts => fold2 (curry (Sorts.meet_sort algebra)) 

738 
(Consts.typargs consts c_ty) sorts) 

739 
 matchings _ = I 

740 
val tvartab = (fold o fold_aterms) matchings ts Vartab.empty 

26642
454d11701fa4
Sorts.class_error: produce message only (formerly msg_class_error);
wenzelm
parents:
26628
diff
changeset

741 
handle Sorts.CLASS_ERROR e => error (Sorts.class_error pp e); 
27089
480f19078b65
fixed wrong treatment of type variables in instantiation target
haftmann
parents:
26995
diff
changeset

742 
val inst = map_type_tvar 
480f19078b65
fixed wrong treatment of type variables in instantiation target
haftmann
parents:
26995
diff
changeset

743 
(fn (vi, sort) => TVar (vi, the_default sort (Vartab.lookup tvartab vi))); 
26518  744 
in if Vartab.is_empty tvartab then NONE else SOME ((map o map_types) inst ts) end; 
745 

25864  746 
fun init_instantiation (tycos, vs, sort) thy = 
25462  747 
let 
25536  748 
val _ = if null tycos then error "At least one arity must be given" else (); 
26518  749 
val params = these_params thy sort; 
750 
fun get_param tyco (param, (_, (c, ty))) = if can (AxClass.param_of_inst thy) (c, tyco) 

25603  751 
then NONE else SOME ((c, tyco), 
25864  752 
(param ^ "_" ^ type_name tyco, map_atyps (K (Type (tyco, map TFree vs))) ty)); 
26518  753 
val inst_params = map_product get_param tycos params > map_filter I; 
754 
val primary_constraints = map (apsnd 

755 
(map_atyps (K (TVar ((Name.aT, 0), [])))) o snd o snd) params; 

26939
1035c89b4c02
moved global pretty/string_of functions from Sign to Syntax;
wenzelm
parents:
26761
diff
changeset

756 
val pp = Syntax.pp_global thy; 
26518  757 
val algebra = Sign.classes_of thy 
758 
> fold (fn tyco => Sorts.add_arities pp 

759 
(tyco, map (fn class => (class, map snd vs)) sort)) tycos; 

760 
val consts = Sign.consts_of thy; 

761 
val improve_constraints = AList.lookup (op =) 

762 
(map (fn (_, (class, (c, _))) => (c, [[class]])) params); 

763 
fun resort_check ts ctxt = case resort_terms pp algebra consts improve_constraints ts 

764 
of NONE => NONE 

765 
 SOME ts' => SOME (ts', ctxt); 

766 
fun improve (c, ty) = case AxClass.inst_tyco_of thy (c, ty) 

26329
3e58e4c67a2a
instantiation less liberal with dangling constraints
haftmann
parents:
26259
diff
changeset

767 
of SOME tyco => (case AList.lookup (op =) inst_params (c, tyco) 
26518  768 
of SOME (_, ty') => if Type.raw_instance (ty', ty) then SOME (ty, ty') else NONE 
26259  769 
 NONE => NONE) 
770 
 NONE => NONE; 

25485  771 
in 
772 
thy 

773 
> ProofContext.init 

26329
3e58e4c67a2a
instantiation less liberal with dangling constraints
haftmann
parents:
26259
diff
changeset

774 
> Instantiation.put (mk_instantiation ((tycos, vs, sort), inst_params)) 
27281  775 
> fold (Variable.declare_typ o TFree) vs 
26329
3e58e4c67a2a
instantiation less liberal with dangling constraints
haftmann
parents:
26259
diff
changeset

776 
> fold (Variable.declare_names o Free o snd) inst_params 
26259  777 
> (Overloading.map_improvable_syntax o apfst) 
26329
3e58e4c67a2a
instantiation less liberal with dangling constraints
haftmann
parents:
26259
diff
changeset

778 
(fn ((_, _), ((_, subst), unchecks)) => 
26730  779 
((primary_constraints, []), (((improve, K NONE), false), []))) 
26259  780 
> Overloading.add_improvable_syntax 
26518  781 
> Context.proof_map (Syntax.add_term_check 0 "resorting" resort_check) 
26238  782 
> synchronize_inst_syntax 
25485  783 
end; 
784 

26238  785 
fun confirm_declaration c = (map_instantiation o apsnd) 
786 
(filter_out (fn (_, (c', _)) => c' = c)) 

787 
#> LocalTheory.target synchronize_inst_syntax 

788 

25485  789 
fun gen_instantiation_instance do_proof after_qed lthy = 
790 
let 

25864  791 
val (tycos, vs, sort) = (#arities o the_instantiation) lthy; 
792 
val arities_proof = maps (fn tyco => Logic.mk_arities (tyco, map snd vs, sort)) tycos; 

25462  793 
fun after_qed' results = 
794 
LocalTheory.theory (fold (AxClass.add_arity o Thm.varifyT) results) 

795 
#> after_qed; 

796 
in 

797 
lthy 

798 
> do_proof after_qed' arities_proof 

799 
end; 

800 

25485  801 
val instantiation_instance = gen_instantiation_instance (fn after_qed => fn ts => 
25462  802 
Proof.theorem_i NONE (after_qed o map the_single) (map (fn t => [(t, [])]) ts)); 
803 

25485  804 
fun prove_instantiation_instance tac = gen_instantiation_instance (fn after_qed => 
25502  805 
fn ts => fn lthy => after_qed (map (fn t => Goal.prove lthy [] [] t 
806 
(fn {context, ...} => tac context)) ts) lthy) I; 

25462  807 

28666  808 
fun prove_instantiation_exit tac = prove_instantiation_instance tac 
809 
#> LocalTheory.exit_global; 

810 

811 
fun prove_instantiation_exit_result f tac x lthy = 

812 
let 

813 
val phi = ProofContext.export_morphism lthy 

814 
(ProofContext.init (ProofContext.theory_of lthy)); 

815 
val y = f phi x; 

816 
in 

817 
lthy 

818 
> prove_instantiation_exit (fn ctxt => tac ctxt y) 

819 
> pair y 

820 
end; 

821 

25462  822 
fun conclude_instantiation lthy = 
823 
let 

25485  824 
val { arities, params } = the_instantiation lthy; 
25864  825 
val (tycos, vs, sort) = arities; 
25462  826 
val thy = ProofContext.theory_of lthy; 
25597
34860182b250
moved instance parameter management from class.ML to axclass.ML
haftmann
parents:
25574
diff
changeset

827 
val _ = map (fn tyco => if Sign.of_sort thy 
25864  828 
(Type (tyco, map TFree vs), sort) 
25462  829 
then () else error ("Missing instance proof for type " ^ quote (Sign.extern_type thy tyco))) 
25597
34860182b250
moved instance parameter management from class.ML to axclass.ML
haftmann
parents:
25574
diff
changeset

830 
tycos; 
34860182b250
moved instance parameter management from class.ML to axclass.ML
haftmann
parents:
25574
diff
changeset

831 
in lthy end; 
25462  832 

25603  833 
fun pretty_instantiation lthy = 
834 
let 

835 
val { arities, params } = the_instantiation lthy; 

25864  836 
val (tycos, vs, sort) = arities; 
25603  837 
val thy = ProofContext.theory_of lthy; 
25864  838 
fun pr_arity tyco = Syntax.pretty_arity lthy (tyco, map snd vs, sort); 
25603  839 
fun pr_param ((c, _), (v, ty)) = 
25864  840 
(Pretty.block o Pretty.breaks) [Pretty.str v, Pretty.str "==", 
26939
1035c89b4c02
moved global pretty/string_of functions from Sign to Syntax;
wenzelm
parents:
26761
diff
changeset

841 
(Pretty.str o Sign.extern_const thy) c, Pretty.str "::", Syntax.pretty_typ_global thy ty]; 
25603  842 
in 
843 
(Pretty.block o Pretty.fbreaks) 

844 
(Pretty.str "instantiation" :: map pr_arity tycos @ map pr_param params) 

845 
end; 

846 

24218  847 
end; 
25683  848 