src/Pure/Isar/generic_target.ML
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(*  Title:      Pure/Isar/generic_target.ML
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    Author:     Makarius
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    Author:     Florian Haftmann, TU Muenchen
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Common target infrastructure.
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*)
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signature GENERIC_TARGET =
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sig
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  (*consts*)
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  val standard_const: (int * int -> bool) -> Syntax.mode -> (binding * mixfix) * term ->
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    local_theory -> local_theory
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  (*background operations*)
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  val background_foundation: ((binding * typ) * mixfix) * (binding * term) ->
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    term list * term list -> local_theory -> (term * thm) * local_theory
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  val background_declaration: declaration -> local_theory -> local_theory
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  val background_abbrev: binding * term -> term list -> local_theory -> (term * term) * local_theory
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  (*lifting primitives to local theory operations*)
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  val define: (((binding * typ) * mixfix) * (binding * term) ->
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      term list * term list -> local_theory -> (term * thm) * local_theory) ->
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    bool -> (binding * mixfix) * (Attrib.binding * term) -> local_theory ->
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    (term * (string * thm)) * local_theory
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  val notes:
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    (string -> (Attrib.binding * (thm list * Token.src list) list) list ->
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      (Attrib.binding * (thm list * Token.src list) list) list -> local_theory -> local_theory) ->
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    string -> (Attrib.binding * (thm list * Token.src list) list) list -> local_theory ->
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    (string * thm list) list * local_theory
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  val abbrev: (string * bool -> binding * mixfix -> term ->
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      term list * term list -> local_theory -> local_theory) ->
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    string * bool -> (binding * mixfix) * term -> local_theory -> (term * term) * local_theory
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  (*theory operations*)
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  val theory_foundation: ((binding * typ) * mixfix) * (binding * term) ->
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    term list * term list -> local_theory -> (term * thm) * local_theory
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  val theory_notes: string ->
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    (Attrib.binding * (thm list * Token.src list) list) list ->
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    (Attrib.binding * (thm list * Token.src list) list) list ->
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    local_theory -> local_theory
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  val theory_declaration: declaration -> local_theory -> local_theory
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  val theory_abbrev: Syntax.mode -> (binding * mixfix) -> term -> term list * term list ->
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    local_theory -> local_theory
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  val theory_registration: string * morphism -> (morphism * bool) option -> morphism ->
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    local_theory -> local_theory
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  (*locale operations*)
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  val locale_notes: string -> string ->
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    (Attrib.binding * (thm list * Token.src list) list) list ->
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    (Attrib.binding * (thm list * Token.src list) list) list ->
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    local_theory -> local_theory
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  val locale_target_declaration: string -> bool -> declaration -> local_theory -> local_theory
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  val locale_declaration: string -> {syntax: bool, pervasive: bool} -> declaration ->
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    local_theory -> local_theory
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  val locale_target_const: string -> (morphism -> bool) -> Syntax.mode ->
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    (binding * mixfix) * term -> local_theory -> local_theory
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  val locale_const: string -> Syntax.mode -> (binding * mixfix) * term ->
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    local_theory -> local_theory
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  val locale_dependency: string -> string * morphism -> (morphism * bool) option -> morphism ->
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    local_theory -> local_theory
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end
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structure Generic_Target: GENERIC_TARGET =
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struct
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(** notes **)
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fun standard_facts lthy ctxt =
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  Attrib.transform_facts (Local_Theory.standard_morphism lthy ctxt);
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fun standard_notes pred kind facts lthy =
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  Local_Theory.map_contexts (fn level => fn ctxt =>
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    if pred (Local_Theory.level lthy, level)
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    then Attrib.local_notes kind (standard_facts lthy ctxt facts) ctxt |> snd
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    else ctxt) lthy;
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(** declarations **)
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fun standard_declaration pred decl lthy =
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  Local_Theory.map_contexts (fn level => fn ctxt =>
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    if pred (Local_Theory.level lthy, level)
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    then Context.proof_map (Local_Theory.standard_form lthy ctxt decl) ctxt
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    else ctxt) lthy;
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(** consts **)
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fun check_mixfix ctxt (b, extra_tfrees) mx =
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  if null extra_tfrees then mx
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  else
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   (if Context_Position.is_visible ctxt then
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      warning
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        ("Additional type variable(s) in specification of " ^ Binding.print b ^ ": " ^
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          commas (map (Syntax.string_of_typ ctxt o TFree) (sort_wrt #1 extra_tfrees)) ^
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          (if mx = NoSyn then ""
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           else "\nDropping mixfix syntax " ^ Pretty.string_of (Mixfix.pretty_mixfix mx)))
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    else (); NoSyn);
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fun check_mixfix_global (b, no_params) mx =
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  if no_params orelse mx = NoSyn then mx
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  else (warning ("Dropping global mixfix syntax: " ^ Binding.print b ^ " " ^
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    Pretty.string_of (Mixfix.pretty_mixfix mx)); NoSyn);
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fun const_decl phi_pred prmode ((b, mx), rhs) phi context =
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  if phi_pred phi then
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    let
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      val b' = Morphism.binding phi b;
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      val rhs' = Morphism.term phi rhs;
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      val same_shape = Term.aconv_untyped (rhs, rhs');
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      val const_alias =
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        if same_shape then
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          (case rhs' of
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            Const (c, T) =>
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              let
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                val thy = Context.theory_of context;
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                val ctxt = Context.proof_of context;
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              in
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                (case Type_Infer_Context.const_type ctxt c of
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                  SOME T' => if Sign.typ_equiv thy (T, T') then SOME c else NONE
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                | NONE => NONE)
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              end
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          | _ => NONE)
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        else NONE;
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    in
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      (case const_alias of
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        SOME c =>
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          context
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          |> Context.mapping (Sign.const_alias b' c) (Proof_Context.const_alias b' c)
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          |> Morphism.form (Proof_Context.generic_notation true prmode [(rhs', mx)])
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      | NONE =>
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          context
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          |> Proof_Context.generic_add_abbrev Print_Mode.internal (b', Term.close_schematic_term rhs')
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          |-> (fn (const as Const (c, _), _) => same_shape ?
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                (Proof_Context.generic_revert_abbrev (#1 prmode) c #>
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                 Morphism.form (Proof_Context.generic_notation true prmode [(const, mx)]))))
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    end
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  else context;
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fun standard_const pred prmode ((b, mx), rhs) =
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  standard_declaration pred (const_decl (K true) prmode ((b, mx), rhs));
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(** background primitives **)
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fun background_foundation (((b, U), mx), (b_def, rhs)) (type_params, term_params) lthy =
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  let
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    val params = type_params @ term_params;
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    val mx' = check_mixfix_global (b, null params) mx;
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    val (const, lthy2) = lthy
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      |> Local_Theory.background_theory_result (Sign.declare_const lthy ((b, U), mx'));
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    val lhs = Term.list_comb (const, params);
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    val ((_, def), lthy3) = lthy2
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      |> Local_Theory.background_theory_result
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        (Thm.add_def lthy2 false false
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          (Thm.def_binding_optional b b_def, Logic.mk_equals (lhs, rhs)));
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  in ((lhs, def), lthy3) end;
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fun background_declaration decl lthy =
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  let
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    val theory_decl =
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      Local_Theory.standard_form lthy
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        (Proof_Context.init_global (Proof_Context.theory_of lthy)) decl;
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  in Local_Theory.background_theory (Context.theory_map theory_decl) lthy end;
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fun background_abbrev (b, global_rhs) params =
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  Local_Theory.background_theory_result (Sign.add_abbrev Print_Mode.internal (b, global_rhs))
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  #>> apply2 (fn t => Term.list_comb (Logic.unvarify_global t, params))
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(** lifting primitive to local theory operations **)
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(* define *)
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fun define foundation internal ((b, mx), ((b_def, atts), rhs)) lthy =
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  let
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    val thy_ctxt = Proof_Context.init_global (Proof_Context.theory_of lthy);
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    (*term and type parameters*)
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    val ((defs, _), rhs') = Thm.cterm_of lthy rhs
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      |> Local_Defs.export_cterm lthy thy_ctxt ||> Thm.term_of;
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    val xs = Variable.add_fixed lthy rhs' [];
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    val T = Term.fastype_of rhs;
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    val tfreesT = Term.add_tfreesT T (fold (Term.add_tfreesT o #2) xs []);
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    val extra_tfrees = rev (subtract (op =) tfreesT (Term.add_tfrees rhs []));
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    val mx' = check_mixfix lthy (b, extra_tfrees) mx;
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    val type_params = map (Logic.mk_type o TFree) extra_tfrees;
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    val term_params = map Free (sort (Variable.fixed_ord lthy o apply2 #1) xs);
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    val params = type_params @ term_params;
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    val U = map Term.fastype_of params ---> T;
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    (*foundation*)
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    val ((lhs', global_def), lthy2) = lthy
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      |> foundation (((b, U), mx'), (b_def, rhs')) (type_params, term_params);
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    (*local definition*)
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    val ((lhs, local_def), lthy3) = lthy2
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      |> Local_Defs.add_def ((b, NoSyn), lhs');
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    (*result*)
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    val def =
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      Thm.transitive local_def global_def
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      |> Local_Defs.contract lthy3 defs (Thm.cterm_of lthy3 (Logic.mk_equals (lhs, rhs)));
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    val ([(res_name, [res])], lthy4) = lthy3
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      |> Local_Theory.notes [((if internal then Binding.empty else b_def, atts), [([def], [])])];
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  in ((lhs, (res_name, res)), lthy4) end;
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(* notes *)
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local
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fun import_export_proof ctxt (name, raw_th) =
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  let
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    val thy_ctxt = Proof_Context.init_global (Proof_Context.theory_of ctxt);
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    (*export assumes/defines*)
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    val th = Goal.norm_result ctxt raw_th;
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    val ((defs, asms), th') = Local_Defs.export ctxt thy_ctxt th;
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    val asms' = map (rewrite_rule ctxt (Drule.norm_hhf_eqs @ defs)) asms;
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    (*export fixes*)
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    val tfrees = map TFree (Thm.fold_terms Term.add_tfrees th' []);
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    val frees = map Free (Thm.fold_terms Term.add_frees th' []);
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    val (th'' :: vs) =
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      (th' :: map (Drule.mk_term o Thm.cterm_of ctxt) (map Logic.mk_type tfrees @ frees))
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      |> Variable.export ctxt thy_ctxt
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      |> Drule.zero_var_indexes_list;
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    (*thm definition*)
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    val result = Global_Theory.name_thm true true name th'';
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    (*import fixes*)
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    val (tvars, vars) =
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      chop (length tfrees) (map (Thm.term_of o Drule.dest_term) vs)
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      |>> map Logic.dest_type;
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    val instT = map_filter (fn (TVar v, T) => SOME (v, T) | _ => NONE) (tvars ~~ tfrees);
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    val inst = filter (is_Var o fst) (vars ~~ frees);
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    val cinstT = instT
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      |> map (apply2 (Thm.ctyp_of ctxt) o apfst TVar);
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    val cinst = inst
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      |> map (apply2 (Thm.cterm_of ctxt o Term.map_types (Term_Subst.instantiateT instT)));
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    val result' = Thm.instantiate (cinstT, cinst) result;
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    (*import assumes/defines*)
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    val result'' =
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      (fold (curry op COMP) asms' result'
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        handle THM _ => raise THM ("Failed to re-import result", 0, result' :: asms'))
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      |> Local_Defs.contract ctxt defs (Thm.cprop_of th)
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      |> Goal.norm_result ctxt
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      |> Global_Theory.name_thm false false name;
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  in (result'', result) end;
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in
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fun notes notes' kind facts lthy =
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  let
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    val facts' = facts
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      |> map (fn (a, bs) => (a, Global_Theory.burrow_fact (Global_Theory.name_multi
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          (Local_Theory.full_name lthy (fst a))) bs))
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      |> Global_Theory.map_facts (import_export_proof lthy);
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    val local_facts = Global_Theory.map_facts #1 facts';
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    val global_facts = Global_Theory.map_facts #2 facts';
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  in
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    lthy
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    |> notes' kind global_facts (Attrib.partial_evaluation lthy local_facts)
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    |> Attrib.local_notes kind local_facts
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  end;
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end;
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(* abbrev *)
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fun abbrev abbrev' prmode ((b, mx), rhs) lthy =
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  let
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    val thy_ctxt = Proof_Context.init_global (Proof_Context.theory_of lthy);
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    val rhs' = Assumption.export_term lthy (Local_Theory.target_of lthy) rhs;
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    val term_params = map Free (sort (Variable.fixed_ord lthy o apply2 #1) (Variable.add_fixed lthy rhs' []));
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    val u = fold_rev lambda term_params rhs';
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    val global_rhs = singleton (Variable.polymorphic thy_ctxt) u;
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    val extra_tfrees =
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      subtract (op =) (Term.add_tfreesT (Term.fastype_of u) []) (Term.add_tfrees u []);
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    val mx' = check_mixfix lthy (b, extra_tfrees) mx;
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    val type_params = map (Logic.mk_type o TFree) extra_tfrees;
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  in
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    lthy
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    |> abbrev' prmode (b, mx') global_rhs (type_params, term_params)
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    |> Proof_Context.add_abbrev Print_Mode.internal (b, rhs) |> snd
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    |> Local_Defs.fixed_abbrev ((b, NoSyn), rhs)
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  end;
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(** theory operations **)
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fun theory_foundation (((b, U), mx), (b_def, rhs)) (type_params, term_params) =
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  background_foundation (((b, U), mx), (b_def, rhs)) (type_params, term_params)
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  #-> (fn (lhs, def) => standard_const (op <>) Syntax.mode_default ((b, mx), lhs)
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    #> pair (lhs, def));
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fun theory_notes kind global_facts local_facts =
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  Local_Theory.background_theory (Attrib.global_notes kind global_facts #> snd)
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  #> standard_notes (op <>) kind local_facts;
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fun theory_declaration decl =
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  background_declaration decl #> standard_declaration (K true) decl;
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fun theory_abbrev prmode (b, mx) global_rhs params =
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  Local_Theory.background_theory_result
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    (Sign.add_abbrev (#1 prmode) (b, global_rhs) #->
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      (fn (lhs, _) =>  (* FIXME type_params!? *)
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        Sign.notation true prmode [(lhs, check_mixfix_global (b, null (snd params)) mx)] #> pair lhs))
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  #-> (fn lhs => standard_const (op <>) prmode
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          ((b, if null (snd params) then NoSyn else mx), Term.list_comb (Logic.unvarify_global lhs, snd params)));
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val theory_registration =
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  Local_Theory.raw_theory o Context.theory_map ooo Locale.add_registration;
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(** locale operations **)
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fun locale_notes locale kind global_facts local_facts =
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  Local_Theory.background_theory
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    (Attrib.global_notes kind (Attrib.map_facts (K []) global_facts) #> snd) #>
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  (fn lthy => lthy |>
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    Local_Theory.target (fn ctxt => ctxt |>
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      Locale.add_thmss locale kind (standard_facts lthy ctxt local_facts))) #>
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  standard_notes (fn (this, other) => other <> 0 andalso this <> other) kind local_facts;
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fun locale_target_declaration locale syntax decl lthy = lthy
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  |> Local_Theory.target (fn ctxt => ctxt |>
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    Locale.add_declaration locale syntax
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      (Morphism.transform (Local_Theory.standard_morphism lthy ctxt) decl));
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fun locale_declaration locale {syntax, pervasive} decl =
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  pervasive ? background_declaration decl
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  #> locale_target_declaration locale syntax decl
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  #> standard_declaration (fn (_, other) => other <> 0) decl;
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fun locale_target_const locale phi_pred prmode ((b, mx), rhs) =
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  locale_target_declaration locale true (const_decl phi_pred prmode ((b, mx), rhs))
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fun locale_const locale prmode ((b, mx), rhs) =
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  locale_target_const locale (K true) prmode ((b, mx), rhs)
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  #> standard_const (fn (this, other) => other <> 0 andalso this <> other) prmode ((b, mx), rhs);
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fun locale_dependency locale dep_morph mixin export =
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  (Local_Theory.raw_theory ooo Locale.add_dependency locale) dep_morph mixin export
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  #> Locale.activate_fragment_nonbrittle dep_morph mixin export;
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end;