src/HOL/Tools/Lifting/lifting_info.ML
author kuncar
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child 53651 ee90c67502c9
permissions -rw-r--r--
make ML function for deleting quotients public
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(*  Title:      HOL/Tools/Lifting/lifting_info.ML
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    Author:     Ondrej Kuncar
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Context data for the lifting package.
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*)
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signature LIFTING_INFO =
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sig
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  type quot_map = {rel_quot_thm: thm}
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  val lookup_quot_maps: Proof.context -> string -> quot_map option
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  val print_quot_maps: Proof.context -> unit
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  type pcr = {pcrel_def: thm, pcr_cr_eq: thm}
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  type quotient = {quot_thm: thm, pcr_info: pcr option}
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  val transform_quotient: morphism -> quotient -> quotient
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  val lookup_quotients: Proof.context -> string -> quotient option
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  val update_quotients: string -> quotient -> Context.generic -> Context.generic
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  val delete_quotients: thm -> Context.generic -> Context.generic
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  val print_quotients: Proof.context -> unit
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  val get_invariant_commute_rules: Proof.context -> thm list
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  val get_reflexivity_rules: Proof.context -> thm list
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  val add_reflexivity_rule_raw_attribute: attribute
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  val add_reflexivity_rule_attribute: attribute
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  type relator_distr_data = {pos_mono_rule: thm, neg_mono_rule: thm, 
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    pos_distr_rules: thm list, neg_distr_rules: thm list}
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  val lookup_relator_distr_data: Proof.context -> string -> relator_distr_data option
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  val get_quot_maps           : Proof.context -> quot_map Symtab.table
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  val get_quotients           : Proof.context -> quotient Symtab.table
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  val get_relator_distr_data  : Proof.context -> relator_distr_data Symtab.table
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  val setup: theory -> theory
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end;
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structure Lifting_Info: LIFTING_INFO =
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struct
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open Lifting_Util
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(** data container **)
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type quot_map = {rel_quot_thm: thm}
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type pcr = {pcrel_def: thm, pcr_cr_eq: thm}
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type quotient = {quot_thm: thm, pcr_info: pcr option}
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type relator_distr_data = {pos_mono_rule: thm, neg_mono_rule: thm, 
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  pos_distr_rules: thm list, neg_distr_rules: thm list}
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structure Data = Generic_Data
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(
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  type T = 
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    { quot_maps : quot_map Symtab.table,
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      quotients : quotient Symtab.table,
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      reflexivity_rules : thm Item_Net.T,
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      relator_distr_data : relator_distr_data Symtab.table
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    }
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  val empty =
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    { quot_maps = Symtab.empty,
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      quotients = Symtab.empty,
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      reflexivity_rules = Thm.full_rules,
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      relator_distr_data = Symtab.empty
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    }
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  val extend = I
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  fun merge
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    ( { quot_maps = qm1, quotients = q1, reflexivity_rules = rr1, relator_distr_data = rdd1 },
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      { quot_maps = qm2, quotients = q2, reflexivity_rules = rr2, relator_distr_data = rdd2 } ) =
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    { quot_maps = Symtab.merge (K true) (qm1, qm2),
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      quotients = Symtab.merge (K true) (q1, q2),
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      reflexivity_rules = Item_Net.merge (rr1, rr2),
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      relator_distr_data = Symtab.merge (K true) (rdd1, rdd2) }
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)
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fun map_data f1 f2 f3 f4
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  { quot_maps, quotients, reflexivity_rules, relator_distr_data} =
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  { quot_maps = f1 quot_maps,
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    quotients = f2 quotients,
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    reflexivity_rules = f3 reflexivity_rules,
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    relator_distr_data = f4 relator_distr_data }
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fun map_quot_maps           f = map_data f I I I
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fun map_quotients           f = map_data I f I I
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fun map_reflexivity_rules   f = map_data I I f I
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fun map_relator_distr_data  f = map_data I I I f
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val get_quot_maps'           = #quot_maps o Data.get
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val get_quotients'           = #quotients o Data.get
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val get_reflexivity_rules'   = #reflexivity_rules o Data.get
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val get_relator_distr_data'  = #relator_distr_data o Data.get
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fun get_quot_maps          ctxt = get_quot_maps' (Context.Proof ctxt)
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fun get_quotients          ctxt = get_quotients' (Context.Proof ctxt)
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fun get_relator_distr_data ctxt = get_relator_distr_data' (Context.Proof ctxt)
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(* info about Quotient map theorems *)
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val lookup_quot_maps = Symtab.lookup o get_quot_maps
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fun quot_map_thm_sanity_check rel_quot_thm ctxt =
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  let
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    fun quot_term_absT ctxt quot_term = 
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      let 
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        val (_, abs, _, _) = (dest_Quotient o HOLogic.dest_Trueprop) quot_term
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          handle TERM (_, [t]) => error (Pretty.string_of (Pretty.block
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            [Pretty.str "The Quotient map theorem is not in the right form.",
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             Pretty.brk 1,
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             Pretty.str "The following term is not the Quotient predicate:",
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             Pretty.brk 1,
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             Syntax.pretty_term ctxt t]))
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      in
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        fastype_of abs
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      end
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    val ((_, [rel_quot_thm_fixed]), ctxt') = Variable.importT [rel_quot_thm] ctxt
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    val rel_quot_thm_prop = prop_of rel_quot_thm_fixed
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    val rel_quot_thm_concl = Logic.strip_imp_concl rel_quot_thm_prop
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    val rel_quot_thm_prems = Logic.strip_imp_prems rel_quot_thm_prop;
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    val concl_absT = quot_term_absT ctxt' rel_quot_thm_concl
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    val concl_tfrees = Term.add_tfree_namesT (concl_absT) []
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    val prems_tfrees = fold (fn typ => fn list => Term.add_tfree_namesT (quot_term_absT ctxt' typ) list) 
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                          rel_quot_thm_prems []
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    val extra_prem_tfrees =
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      case subtract (op =) concl_tfrees prems_tfrees of
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        [] => []
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      | extras => [Pretty.block ([Pretty.str "Extra type variables in the premises:",
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                                 Pretty.brk 1] @ 
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                                 ((Pretty.commas o map (Pretty.str o quote)) extras) @
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                                 [Pretty.str "."])]
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    val errs = extra_prem_tfrees 
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  in
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    if null errs then () else error (cat_lines (["Sanity check of the quotient map theorem failed:",""] 
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                                                 @ (map Pretty.string_of errs)))
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  end
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fun add_quot_map rel_quot_thm ctxt = 
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  let
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    val _ = Context.cases (K ()) (quot_map_thm_sanity_check rel_quot_thm) ctxt
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    val rel_quot_thm_concl = (Logic.strip_imp_concl o prop_of) rel_quot_thm
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    val (_, abs, _, _) = (dest_Quotient o HOLogic.dest_Trueprop) rel_quot_thm_concl
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    val relatorT_name = (fst o dest_Type o fst o dest_funT o fastype_of) abs
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    val minfo = {rel_quot_thm = rel_quot_thm}
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  in
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    Data.map (map_quot_maps (Symtab.update (relatorT_name, minfo))) ctxt
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  end    
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val quot_map_attribute_setup =
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  Attrib.setup @{binding quot_map} (Scan.succeed (Thm.declaration_attribute add_quot_map))
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    "declaration of the Quotient map theorem"
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fun print_quot_maps ctxt =
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  let
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    fun prt_map (ty_name, {rel_quot_thm}) =
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      Pretty.block (separate (Pretty.brk 2)
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         [Pretty.str "type:", 
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          Pretty.str ty_name,
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          Pretty.str "quot. theorem:", 
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          Syntax.pretty_term ctxt (prop_of rel_quot_thm)])
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  in
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    map prt_map (Symtab.dest (get_quot_maps ctxt))
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    |> Pretty.big_list "maps for type constructors:"
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    |> Pretty.writeln
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  end
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(* info about quotient types *)
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fun transform_pcr_info phi {pcrel_def, pcr_cr_eq} =
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  {pcrel_def = Morphism.thm phi pcrel_def, pcr_cr_eq = Morphism.thm phi pcr_cr_eq}
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fun transform_quotient phi {quot_thm, pcr_info} =
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  {quot_thm = Morphism.thm phi quot_thm, pcr_info = Option.map (transform_pcr_info phi) pcr_info}
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fun lookup_quotients ctxt type_name = Symtab.lookup (get_quotients ctxt) type_name
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fun update_quotients type_name qinfo ctxt = 
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  Data.map (map_quotients (Symtab.update (type_name, qinfo))) ctxt
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fun delete_quotients quot_thm ctxt =
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  let
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    val (_, qtyp) = quot_thm_rty_qty quot_thm
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    val qty_full_name = (fst o dest_Type) qtyp
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    val symtab = get_quotients' ctxt
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    fun compare_data (_, data:quotient) = Thm.eq_thm_prop (#quot_thm data, quot_thm)
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  in
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    if Symtab.member compare_data symtab (qty_full_name, quot_thm)
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      then Data.map (map_quotients (Symtab.delete qty_full_name)) ctxt
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      else ctxt
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  end
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fun print_quotients ctxt =
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  let
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    fun prt_quot (qty_name, {quot_thm, pcr_info}: quotient) =
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      Pretty.block (separate (Pretty.brk 2)
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       [Pretty.str "type:", 
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        Pretty.str qty_name,
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        Pretty.str "quot. thm:",
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        Syntax.pretty_term ctxt (prop_of quot_thm),
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        Pretty.str "pcrel_def thm:",
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        option_fold (Pretty.str "-") ((Syntax.pretty_term ctxt) o prop_of o #pcrel_def) pcr_info,
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        Pretty.str "pcr_cr_eq thm:",
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        option_fold (Pretty.str "-") ((Syntax.pretty_term ctxt) o prop_of o #pcr_cr_eq) pcr_info])
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  in
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    map prt_quot (Symtab.dest (get_quotients ctxt))
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    |> Pretty.big_list "quotients:"
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    |> Pretty.writeln
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  end
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val quot_del_attribute_setup =
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  Attrib.setup @{binding quot_del} (Scan.succeed (Thm.declaration_attribute delete_quotients))
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    "deletes the Quotient theorem"
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(* theorems that a relator of an invariant is an invariant of the corresponding predicate *)
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structure Invariant_Commute = Named_Thms
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(
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  val name = @{binding invariant_commute}
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  val description = "theorems that a relator of an invariant is an invariant of the corresponding predicate"
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)
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fun get_invariant_commute_rules ctxt = map safe_mk_meta_eq (Invariant_Commute.get ctxt)
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(* info about reflexivity rules *)
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fun get_reflexivity_rules ctxt = Item_Net.content (get_reflexivity_rules' (Context.Proof ctxt))
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(* Conversion to create a reflp' variant of a reflexivity rule  *)
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fun safe_reflp_conv ct =
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  Conv.try_conv (HOLogic.Trueprop_conv (Conv.rewr_conv (Thm.symmetric @{thm reflp'_def}))) ct
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fun prep_reflp_conv ct = (
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      Conv.implies_conv safe_reflp_conv prep_reflp_conv
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      else_conv
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      safe_reflp_conv
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      else_conv
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      Conv.all_conv) ct
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fun add_reflexivity_rule_raw thm = Data.map (map_reflexivity_rules (Item_Net.update thm))
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val add_reflexivity_rule_raw_attribute = Thm.declaration_attribute add_reflexivity_rule_raw
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fun add_reflexivity_rule thm = add_reflexivity_rule_raw thm #>
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  add_reflexivity_rule_raw (Conv.fconv_rule prep_reflp_conv thm)
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val add_reflexivity_rule_attribute = Thm.declaration_attribute add_reflexivity_rule
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val relfexivity_rule_setup =
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  let
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    val name = @{binding reflexivity_rule}
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    fun del_thm_raw thm = Data.map (map_reflexivity_rules (Item_Net.remove thm))
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    fun del_thm thm = del_thm_raw thm #>
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      del_thm_raw (Conv.fconv_rule prep_reflp_conv thm)
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    val del = Thm.declaration_attribute del_thm
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    val text = "rules that are used to prove that a relation is reflexive"
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    val content = Item_Net.content o get_reflexivity_rules'
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  in
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    Attrib.setup name (Attrib.add_del add_reflexivity_rule_attribute del) text
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    #> Global_Theory.add_thms_dynamic (name, content)
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  end
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(* info about relator distributivity theorems *)
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fun map_relator_distr_data' f1 f2 f3 f4
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  {pos_mono_rule, neg_mono_rule, pos_distr_rules, neg_distr_rules} =
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  {pos_mono_rule   = f1 pos_mono_rule, 
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   neg_mono_rule   = f2 neg_mono_rule,
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   pos_distr_rules = f3 pos_distr_rules, 
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   neg_distr_rules = f4 neg_distr_rules}
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fun map_pos_mono_rule f = map_relator_distr_data' f I I I
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fun map_neg_mono_rule f = map_relator_distr_data' I f I I
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fun map_pos_distr_rules f = map_relator_distr_data' I I f I 
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fun map_neg_distr_rules f = map_relator_distr_data' I I I f
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fun introduce_polarities rule =
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  let
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    val dest_less_eq = HOLogic.dest_bin @{const_name "less_eq"} dummyT
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    val prems_pairs = map (dest_less_eq o HOLogic.dest_Trueprop) (prems_of rule)
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    val equal_prems = filter op= prems_pairs
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    val _ = if null equal_prems then () 
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      else error "The rule contains reflexive assumptions."
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    val concl_pairs = rule 
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      |> concl_of
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      |> HOLogic.dest_Trueprop
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      |> dest_less_eq
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      |> pairself (snd o strip_comb)
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      |> op~~
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      |> filter_out op=
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    val _ = if has_duplicates op= concl_pairs 
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      then error "The rule contains duplicated variables in the conlusion." else ()
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    fun rewrite_prem prem_pair = 
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      if member op= concl_pairs prem_pair
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      then HOLogic.Trueprop_conv (Conv.rewr_conv (Thm.symmetric @{thm POS_def}))
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      else if member op= concl_pairs (swap prem_pair)
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        then HOLogic.Trueprop_conv (Conv.rewr_conv (Thm.symmetric @{thm NEG_def}))
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      else error "The rule contains a non-relevant assumption."
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    fun rewrite_prems [] = Conv.all_conv
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      | rewrite_prems (x::xs) = Conv.implies_conv (rewrite_prem x) (rewrite_prems xs)
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    val rewrite_prems_conv = rewrite_prems prems_pairs
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    val rewrite_concl_conv = 
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      Conv.concl_conv ~1 (HOLogic.Trueprop_conv (Conv.rewr_conv (Thm.symmetric @{thm POS_def})))
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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  in
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    (Conv.fconv_rule (rewrite_prems_conv then_conv rewrite_concl_conv)) rule
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  end
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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  handle 
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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    TERM _ => error "The rule has a wrong format."
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    | CTERM _ => error "The rule has a wrong format."
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84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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fun negate_mono_rule mono_rule = 
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  let
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    val rewr_conv = HOLogic.Trueprop_conv (Conv.rewrs_conv [@{thm POS_NEG}, @{thm NEG_POS}])
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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  in
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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    Conv.fconv_rule (Conv.prems_conv ~1 rewr_conv then_conv Conv.concl_conv ~1 rewr_conv) mono_rule
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   317
  end;
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84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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fun add_mono_rule mono_rule ctxt = 
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  let
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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    val mono_rule = introduce_polarities mono_rule
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    val mono_ruleT_name = (fst o dest_Type o fst o relation_types o fst o relation_types o snd o 
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      dest_Const o head_of o HOLogic.dest_Trueprop o concl_of) mono_rule
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    val _ = if Symtab.defined (get_relator_distr_data' ctxt) mono_ruleT_name 
51374
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      then error ("Monotocity rule for type " ^ quote mono_ruleT_name ^ " is already_defined.")
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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      else ()
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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    val neg_mono_rule = negate_mono_rule mono_rule
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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   328
    val relator_distr_data = {pos_mono_rule = mono_rule, neg_mono_rule = neg_mono_rule, 
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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      pos_distr_rules = [], neg_distr_rules = []}
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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  in
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    Data.map (map_relator_distr_data (Symtab.update (mono_ruleT_name, relator_distr_data))) ctxt
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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   332
  end;
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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   334
local 
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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   335
  fun add_distr_rule update_entry distr_rule ctxt =
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
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   336
    let
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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   337
      val distr_ruleT_name = (fst o dest_Type o fst o relation_types o fst o relation_types o snd o 
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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   338
        dest_Const o head_of o HOLogic.dest_Trueprop o concl_of) distr_rule
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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    in
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kuncar
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   340
      if Symtab.defined (get_relator_distr_data' ctxt) distr_ruleT_name then 
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kuncar
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        Data.map (map_relator_distr_data (Symtab.map_entry distr_ruleT_name (update_entry distr_rule))) 
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   342
          ctxt
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kuncar
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   343
      else error "The monoticity rule is not defined."
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   344
    end
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
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84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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   346
    fun rewrite_concl_conv thm ctm = 
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      Conv.concl_conv ~1 (HOLogic.Trueprop_conv (Conv.rewr_conv (Thm.symmetric thm))) ctm
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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   348
      handle CTERM _ => error "The rule has a wrong format."
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
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   349
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
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in
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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   351
  fun add_pos_distr_rule distr_rule ctxt = 
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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    let
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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   353
      val distr_rule = Conv.fconv_rule (rewrite_concl_conv @{thm POS_def}) distr_rule
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
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   354
      fun update_entry distr_rule data = 
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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   355
        map_pos_distr_rules (cons (@{thm POS_trans} OF [distr_rule, #pos_mono_rule data])) data
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
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   356
    in
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
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   357
      add_distr_rule update_entry distr_rule ctxt
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
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   358
    end
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
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   359
    handle THM _ => error "Combining of the distr. rule and the monotonicity rule together has failed."
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
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   360
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
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   361
  
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
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   362
  fun add_neg_distr_rule distr_rule ctxt = 
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
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   363
    let
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
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   364
      val distr_rule = Conv.fconv_rule (rewrite_concl_conv @{thm NEG_def}) distr_rule
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
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   365
      fun update_entry distr_rule data = 
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
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   366
        map_neg_distr_rules (cons (@{thm NEG_trans} OF [distr_rule, #neg_mono_rule data])) data
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
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   367
    in
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
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   368
      add_distr_rule update_entry distr_rule ctxt
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
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   369
    end
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
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   370
    handle THM _ => error "Combining of the distr. rule and the monotonicity rule together has failed."
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
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   371
end
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
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   372
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
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   373
local 
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
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   374
  val eq_refl2 = sym RS @{thm eq_refl}
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
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   375
in
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
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   376
  fun add_eq_distr_rule distr_rule ctxt =
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
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   377
    let 
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
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   378
      val pos_distr_rule = @{thm eq_refl} OF [distr_rule]
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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   379
      val neg_distr_rule = eq_refl2 OF [distr_rule]
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
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   380
    in
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
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   381
      ctxt 
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      |> add_pos_distr_rule pos_distr_rule
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kuncar
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   383
      |> add_neg_distr_rule neg_distr_rule
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kuncar
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   384
    end
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
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   385
end;
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   386
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   387
local
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   388
  fun sanity_check rule =
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   389
    let
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   390
      val assms = map (perhaps (try HOLogic.dest_Trueprop)) (prems_of rule)
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   391
      val concl = (perhaps (try HOLogic.dest_Trueprop)) (concl_of rule);
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   392
      val (lhs, rhs) = case concl of
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   393
        Const ("Orderings.ord_class.less_eq", _) $ (lhs as Const ("Relation.relcompp",_) $ _ $ _) $ rhs => 
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   394
          (lhs, rhs)
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   395
        | Const ("Orderings.ord_class.less_eq", _) $ rhs $ (lhs as Const ("Relation.relcompp",_) $ _ $ _) => 
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   396
          (lhs, rhs)
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   397
        | Const ("HOL.eq", _) $ (lhs as Const ("Relation.relcompp",_) $ _ $ _) $ rhs => (lhs, rhs)
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   398
        | _ => error "The rule has a wrong format."
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   399
      
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   400
      val lhs_vars = Term.add_vars lhs []
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   401
      val rhs_vars = Term.add_vars rhs []
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   402
      val assms_vars = fold Term.add_vars assms [];
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   403
      val _ = if has_duplicates op= lhs_vars then error "Left-hand side has variable duplicates" else ()
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   404
      val _ = if subset op= (rhs_vars, lhs_vars) then () 
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   405
        else error "Extra variables in the right-hand side of the rule"
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   406
      val _ = if subset op= (assms_vars, lhs_vars) then () 
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   407
        else error "Extra variables in the assumptions of the rule"
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   408
      val rhs_args = (snd o strip_comb) rhs;
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   409
      fun check_comp t = case t of 
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   410
        Const ("Relation.relcompp", _) $ Var (_, _) $ Var (_,_) => ()
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   411
        | _ => error "There is an argument on the rhs that is not a composition."
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   412
      val _ = map check_comp rhs_args
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   413
    in
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   414
      ()
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
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   415
    end
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   416
in
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   417
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   418
  fun add_distr_rule distr_rule ctxt = 
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   419
    let
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   420
      val _ = sanity_check distr_rule
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   421
      val concl = (perhaps (try HOLogic.dest_Trueprop)) (concl_of distr_rule)
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   422
    in
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   423
      case concl of
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   424
        Const ("Orderings.ord_class.less_eq", _) $ (Const ("Relation.relcompp",_) $ _ $ _) $ _ => 
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   425
          add_pos_distr_rule distr_rule ctxt
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   426
        | Const ("Orderings.ord_class.less_eq", _) $ _ $ (Const ("Relation.relcompp",_) $ _ $ _) => 
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   427
          add_neg_distr_rule distr_rule ctxt
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   428
        | Const ("HOL.eq", _) $ (Const ("Relation.relcompp",_) $ _ $ _) $ _ =>
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   429
          add_eq_distr_rule distr_rule ctxt
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   430
    end
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   431
end
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   432
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   433
fun get_distr_rules_raw ctxt = Symtab.fold 
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   434
  (fn (_, {pos_distr_rules, neg_distr_rules, ...}) => fn rules => pos_distr_rules @ neg_distr_rules @ rules) 
53219
ca237b9e4542 use only one data slot; rename print_quotmaps to print_quot_maps; tuned
kuncar
parents: 51994
diff changeset
   435
    (get_relator_distr_data' ctxt) []
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   436
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   437
fun get_mono_rules_raw ctxt = Symtab.fold 
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   438
  (fn (_, {pos_mono_rule, neg_mono_rule, ...}) => fn rules => [pos_mono_rule, neg_mono_rule] @ rules) 
53219
ca237b9e4542 use only one data slot; rename print_quotmaps to print_quot_maps; tuned
kuncar
parents: 51994
diff changeset
   439
    (get_relator_distr_data' ctxt) []
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   440
53219
ca237b9e4542 use only one data slot; rename print_quotmaps to print_quot_maps; tuned
kuncar
parents: 51994
diff changeset
   441
val lookup_relator_distr_data = Symtab.lookup o get_relator_distr_data
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   442
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   443
val relator_distr_attribute_setup =
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   444
  Attrib.setup @{binding relator_mono} (Scan.succeed (Thm.declaration_attribute add_mono_rule))
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   445
    "declaration of relator's monoticity"
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   446
  #> Attrib.setup @{binding relator_distr} (Scan.succeed (Thm.declaration_attribute add_distr_rule))
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   447
    "declaration of relator's distributivity over OO"
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   448
  #> Global_Theory.add_thms_dynamic
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   449
     (@{binding relator_distr_raw}, get_distr_rules_raw)
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   450
  #> Global_Theory.add_thms_dynamic
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   451
     (@{binding relator_mono_raw}, get_mono_rules_raw)
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   452
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   453
(* theory setup *)
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   454
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   455
val setup =
47951
8c8a03765de7 quot_del attribute, it allows us to deregister quotient types
kuncar
parents: 47936
diff changeset
   456
  quot_map_attribute_setup
8c8a03765de7 quot_del attribute, it allows us to deregister quotient types
kuncar
parents: 47936
diff changeset
   457
  #> quot_del_attribute_setup
47634
091bcd569441 hide the invariant constant for relators: invariant_commute infrastracture
kuncar
parents: 47308
diff changeset
   458
  #> Invariant_Commute.setup
51994
82cc2aeb7d13 stronger reflexivity prover
kuncar
parents: 51427
diff changeset
   459
  #> relfexivity_rule_setup
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 50227
diff changeset
   460
  #> relator_distr_attribute_setup
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   461
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   462
(* outer syntax commands *)
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   463
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   464
val _ =
53219
ca237b9e4542 use only one data slot; rename print_quotmaps to print_quot_maps; tuned
kuncar
parents: 51994
diff changeset
   465
  Outer_Syntax.improper_command @{command_spec "print_quot_maps"} "print quotient map functions"
ca237b9e4542 use only one data slot; rename print_quotmaps to print_quot_maps; tuned
kuncar
parents: 51994
diff changeset
   466
    (Scan.succeed (Toplevel.keep (print_quot_maps o Toplevel.context_of)))
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   467
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   468
val _ =
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   469
  Outer_Syntax.improper_command @{command_spec "print_quotients"} "print quotients"
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   470
    (Scan.succeed (Toplevel.keep (print_quotients o Toplevel.context_of)))
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   471
51426
f25ee4fb437d made SML/NJ happy;
wenzelm
parents: 51374
diff changeset
   472
end;