src/HOL/Tools/BNF/bnf_fp_def_sugar.ML
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(*  Title:      HOL/Tools/BNF/bnf_fp_def_sugar.ML
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    Author:     Jasmin Blanchette, TU Muenchen
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    Copyright   2012, 2013
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Sugared datatype and codatatype constructions.
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*)
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signature BNF_FP_DEF_SUGAR =
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sig
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  type fp_sugar =
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    {T: typ,
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     X: typ,
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     fp: BNF_Util.fp_kind,
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     fp_res_index: int,
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     fp_res: BNF_FP_Util.fp_result,
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     pre_bnf: BNF_Def.bnf,
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     absT_info: BNF_Comp.absT_info,
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     nested_bnfs: BNF_Def.bnf list,
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     nesting_bnfs: BNF_Def.bnf list,
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     ctrXs_Tss: typ list list,
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     ctr_defs: thm list,
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     ctr_sugar: Ctr_Sugar.ctr_sugar,
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     co_rec: term,
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     maps: thm list,
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     common_co_inducts: thm list,
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     co_inducts: thm list,
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     co_rec_thms: thm list,
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     disc_co_recs: thm list,
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     sel_co_recss: thm list list};
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  val morph_fp_sugar: morphism -> fp_sugar -> fp_sugar
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  val transfer_fp_sugar: Proof.context -> fp_sugar -> fp_sugar
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  val fp_sugar_of: Proof.context -> string -> fp_sugar option
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  val fp_sugars_of: Proof.context -> fp_sugar list
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  val co_induct_of: 'a list -> 'a
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  val strong_co_induct_of: 'a list -> 'a
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  val flat_corec_preds_predsss_gettersss: 'a list -> 'a list list list -> 'a list list list ->
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    'a list
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  val nesty_bnfs: Proof.context -> typ list list list -> typ list -> BNF_Def.bnf list
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  type lfp_sugar_thms =
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    (thm list * thm * Args.src list) * (thm list list * Args.src list)
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  val morph_lfp_sugar_thms: morphism -> lfp_sugar_thms -> lfp_sugar_thms
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  val transfer_lfp_sugar_thms: Proof.context -> lfp_sugar_thms -> lfp_sugar_thms
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  type gfp_sugar_thms =
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    ((thm list * thm) list * Args.src list)
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    * (thm list list * Args.src list)
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    * (thm list list * Args.src list)
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    * (thm list list * Args.src list)
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    * (thm list list list * Args.src list)
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  val morph_gfp_sugar_thms: morphism -> gfp_sugar_thms -> gfp_sugar_thms
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  val transfer_gfp_sugar_thms: Proof.context -> gfp_sugar_thms -> gfp_sugar_thms
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  val mk_co_recs_prelims: BNF_Util.fp_kind -> typ list list list -> typ list -> typ list ->
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     typ list -> typ list -> int list -> int list list -> term list -> Proof.context ->
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     (term list
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      * (typ list list * typ list list list list * term list list * term list list list list) option
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      * (string * term list * term list list
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         * ((term list list * term list list list) * typ list)) option)
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     * Proof.context
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  val repair_nullary_single_ctr: typ list list -> typ list list
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  val mk_corec_p_pred_types: typ list -> int list -> typ list list
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  val mk_corec_fun_arg_types: typ list list list -> typ list -> typ list -> typ list -> int list ->
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    int list list -> term ->
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    typ list list
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    * (typ list list list list * typ list list list * typ list list list list * typ list)
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  val define_rec:
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    (typ list list * typ list list list list * term list list * term list list list list) option ->
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    (string -> binding) -> typ list -> typ list -> term list -> term -> Proof.context ->
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    (term * thm) * Proof.context
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  val define_corec: 'a * term list * term list list
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      * ((term list list * term list list list) * typ list) -> (string -> binding) -> 'b list ->
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    typ list -> term list -> term -> Proof.context -> (term * thm) * local_theory
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  val derive_induct_recs_thms_for_types: BNF_Def.bnf list ->
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     ('a * typ list list list list * term list list * 'b) option -> thm -> thm list ->
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     BNF_Def.bnf list -> BNF_Def.bnf list -> typ list -> typ list -> typ list ->
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     typ list list list -> thm list -> thm list -> thm list -> term list list -> thm list list ->
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     term list -> thm list -> Proof.context -> lfp_sugar_thms
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  val derive_coinduct_corecs_thms_for_types: BNF_Def.bnf list ->
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    string * term list * term list list * ((term list list * term list list list) * typ list) ->
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    thm -> thm list -> thm list -> thm list -> BNF_Def.bnf list -> typ list -> typ list ->
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    typ list -> typ list list list -> int list list -> int list list -> int list -> thm list ->
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    thm list -> (thm -> thm) -> thm list list -> Ctr_Sugar.ctr_sugar list -> term list ->
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    thm list -> (thm list -> thm list) -> local_theory -> gfp_sugar_thms
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  type co_datatype_spec =
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    ((((binding option * (typ * sort)) list * binding) * (binding * binding)) * mixfix)
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    * ((binding, binding * typ, term) Ctr_Sugar.ctr_spec * mixfix) list
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  val co_datatypes: BNF_Util.fp_kind -> (mixfix list -> binding list -> binding list ->
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      binding list list -> binding list -> (string * sort) list -> typ list * typ list list ->
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      BNF_Def.bnf list -> BNF_Comp.absT_info list -> local_theory ->
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      BNF_FP_Util.fp_result * local_theory) ->
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    (bool * bool) * co_datatype_spec list ->
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    local_theory -> local_theory
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  val parse_co_datatype_cmd: BNF_Util.fp_kind -> (mixfix list -> binding list -> binding list ->
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      binding list list -> binding list -> (string * sort) list -> typ list * typ list list ->
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      BNF_Def.bnf list -> BNF_Comp.absT_info list -> local_theory ->
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      BNF_FP_Util.fp_result * local_theory) ->
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    (local_theory -> local_theory) parser
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end;
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structure BNF_FP_Def_Sugar : BNF_FP_DEF_SUGAR =
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struct
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open Ctr_Sugar
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open BNF_FP_Rec_Sugar_Util
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open BNF_Util
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open BNF_Comp
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open BNF_Def
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open BNF_FP_Util
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open BNF_FP_Def_Sugar_Tactics
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val EqN = "Eq_";
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type fp_sugar =
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  {T: typ,
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   X: typ,
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   fp: fp_kind,
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   fp_res_index: int,
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   fp_res: fp_result,
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   pre_bnf: bnf,
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   absT_info: absT_info,
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   nested_bnfs: bnf list,
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   nesting_bnfs: bnf list,
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   ctrXs_Tss: typ list list,
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   ctr_defs: thm list,
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   ctr_sugar: Ctr_Sugar.ctr_sugar,
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   co_rec: term,
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   maps: thm list,
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   common_co_inducts: thm list,
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   co_inducts: thm list,
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   co_rec_thms: thm list,
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   disc_co_recs: thm list,
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   sel_co_recss: thm list list};
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fun morph_fp_sugar phi ({T, X, fp, fp_res, fp_res_index, pre_bnf, absT_info, nested_bnfs,
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    nesting_bnfs, ctrXs_Tss, ctr_defs, ctr_sugar, co_rec, maps, common_co_inducts, co_inducts,
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    co_rec_thms, disc_co_recs, sel_co_recss} : fp_sugar) =
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  {T = Morphism.typ phi T,
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   X = Morphism.typ phi X,
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   fp = fp,
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   fp_res = morph_fp_result phi fp_res,
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   fp_res_index = fp_res_index,
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   pre_bnf = morph_bnf phi pre_bnf,
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   absT_info = morph_absT_info phi absT_info,
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   nested_bnfs = map (morph_bnf phi) nested_bnfs,
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   nesting_bnfs = map (morph_bnf phi) nesting_bnfs,
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   ctrXs_Tss = map (map (Morphism.typ phi)) ctrXs_Tss,
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   ctr_defs = map (Morphism.thm phi) ctr_defs,
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   ctr_sugar = morph_ctr_sugar phi ctr_sugar,
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   co_rec = Morphism.term phi co_rec,
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   maps = map (Morphism.thm phi) maps,
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   common_co_inducts = map (Morphism.thm phi) common_co_inducts,
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   co_inducts = map (Morphism.thm phi) co_inducts,
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   co_rec_thms = map (Morphism.thm phi) co_rec_thms,
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   disc_co_recs = map (Morphism.thm phi) disc_co_recs,
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   sel_co_recss = map (map (Morphism.thm phi)) sel_co_recss};
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val transfer_fp_sugar =
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  morph_fp_sugar o Morphism.transfer_morphism o Proof_Context.theory_of;
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structure Data = Generic_Data
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(
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  type T = fp_sugar Symtab.table;
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  val empty = Symtab.empty;
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  val extend = I;
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  fun merge data : T = Symtab.merge (K true) data;
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);
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fun fp_sugar_of ctxt =
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  Symtab.lookup (Data.get (Context.Proof ctxt))
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  #> Option.map (transfer_fp_sugar ctxt);
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fun fp_sugars_of ctxt =
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  Symtab.fold (cons o transfer_fp_sugar ctxt o snd) (Data.get (Context.Proof ctxt)) [];
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fun co_induct_of (i :: _) = i;
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fun strong_co_induct_of [_, s] = s;
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(* TODO: register "sum" and "prod" as datatypes to enable N2M reduction for them *)
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fun register_fp_sugar key fp_sugar =
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  Local_Theory.declaration {syntax = false, pervasive = true}
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    (fn phi => Data.map (Symtab.update (key, morph_fp_sugar phi fp_sugar)));
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fun register_fp_sugars Xs fp pre_bnfs absT_infos nested_bnfs nesting_bnfs (fp_res as {Ts, ...})
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    ctrXs_Tsss ctr_defss ctr_sugars co_recs mapss common_co_inducts co_inductss co_rec_thmss
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    disc_co_recss sel_co_recsss lthy =
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  (0, lthy)
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  |> fold (fn T as Type (s, _) => fn (kk, lthy) => (kk + 1,
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    register_fp_sugar s {T = T, X = nth Xs kk, fp = fp, fp_res = fp_res, fp_res_index = kk,
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        pre_bnf = nth pre_bnfs kk, absT_info = nth absT_infos kk, nested_bnfs = nested_bnfs,
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        nesting_bnfs = nesting_bnfs, ctrXs_Tss = nth ctrXs_Tsss kk, ctr_defs = nth ctr_defss kk,
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        ctr_sugar = nth ctr_sugars kk, co_rec = nth co_recs kk, maps = nth mapss kk,
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        common_co_inducts = common_co_inducts, co_inducts = nth co_inductss kk,
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        co_rec_thms = nth co_rec_thmss kk, disc_co_recs = nth disc_co_recss kk,
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        sel_co_recss = nth sel_co_recsss kk}
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      lthy)) Ts
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  |> snd;
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(* This function could produce (fairly harmless) clashes in contrived examples (e.g., "x.A",
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   "x.x_A", "y.A"). *)
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fun quasi_unambiguous_case_names names =
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  let
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    val ps = map (`Long_Name.base_name) names;
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    val dups = Library.duplicates (op =) (map fst ps);
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    fun underscore s =
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      let val ss = space_explode Long_Name.separator s in
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        space_implode "_" (drop (length ss - 2) ss)
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      end;
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  in
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    map (fn (base, full) => if member (op =) dups base then underscore full else base) ps
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  end;
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val id_def = @{thm id_def};
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val mp_conj = @{thm mp_conj};
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val fundefcong_attrs = @{attributes [fundef_cong]};
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val nitpicksimp_attrs = @{attributes [nitpick_simp]};
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val code_nitpicksimp_attrs = Code.add_default_eqn_attrib :: nitpicksimp_attrs;
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val simp_attrs = @{attributes [simp]};
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val lists_bmoc = fold (fn xs => fn t => Term.list_comb (t, xs));
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fun flat_corec_predss_getterss qss fss = maps (op @) (qss ~~ fss);
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fun flat_corec_preds_predsss_gettersss [] [qss] [fss] = flat_corec_predss_getterss qss fss
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  | flat_corec_preds_predsss_gettersss (p :: ps) (qss :: qsss) (fss :: fsss) =
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    p :: flat_corec_predss_getterss qss fss @ flat_corec_preds_predsss_gettersss ps qsss fsss;
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fun mk_flip (x, Type (_, [T1, Type (_, [T2, T3])])) =
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  Abs ("x", T1, Abs ("y", T2, Var (x, T2 --> T1 --> T3) $ Bound 0 $ Bound 1));
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fun flip_rels lthy n thm =
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  let
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    val Rs = Term.add_vars (prop_of thm) [];
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    val Rs' = rev (drop (length Rs - n) Rs);
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    val cRs = map (fn f => (certify lthy (Var f), certify lthy (mk_flip f))) Rs';
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  in
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    Drule.cterm_instantiate cRs thm
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  end;
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fun mk_ctor_or_dtor get_T Ts t =
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  let val Type (_, Ts0) = get_T (fastype_of t) in
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    Term.subst_atomic_types (Ts0 ~~ Ts) t
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  end;
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val mk_ctor = mk_ctor_or_dtor range_type;
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val mk_dtor = mk_ctor_or_dtor domain_type;
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fun mk_xtor_co_recs thy fp fpTs Cs ts0 =
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  let
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    val nn = length fpTs;
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    val (fpTs0, Cs0) =
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      map ((fp = Greatest_FP ? swap) o dest_funT o snd o strip_typeN nn o fastype_of) ts0
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      |> split_list;
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    val rho = tvar_subst thy (fpTs0 @ Cs0) (fpTs @ Cs);
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  in
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    map (Term.subst_TVars rho) ts0
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  end;
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fun unzip_recT (Type (@{type_name prod}, _)) T = [T]
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  | unzip_recT _ (Type (@{type_name prod}, Ts)) = Ts
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  | unzip_recT _ T = [T];
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fun unzip_corecT (Type (@{type_name sum}, _)) T = [T]
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  | unzip_corecT _ (Type (@{type_name sum}, Ts)) = Ts
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  | unzip_corecT _ T = [T];
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fun liveness_of_fp_bnf n bnf =
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  (case T_of_bnf bnf of
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    Type (_, Ts) => map (not o member (op =) (deads_of_bnf bnf)) Ts
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  | _ => replicate n false);
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fun cannot_merge_types fp =
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  error ("Mutually " ^ co_prefix fp ^ "recursive types must have the same type parameters");
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fun merge_type_arg fp T T' = if T = T' then T else cannot_merge_types fp;
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fun merge_type_args fp (As, As') =
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  if length As = length As' then map2 (merge_type_arg fp) As As' else cannot_merge_types fp;
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fun reassoc_conjs thm =
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  reassoc_conjs (thm RS @{thm conj_assoc[THEN iffD1]})
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  handle THM _ => thm;
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type co_datatype_spec =
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  ((((binding option * (typ * sort)) list * binding) * (binding * binding)) * mixfix)
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  * ((binding, binding * typ, term) ctr_spec * mixfix) list;
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fun type_args_named_constrained_of_spec ((((ncAs, _), _), _), _) = ncAs;
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fun type_binding_of_spec ((((_, b), _), _), _) = b;
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fun map_binding_of_spec (((_, (b, _)), _), _) = b;
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fun rel_binding_of_spec (((_, (_, b)), _), _) = b;
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fun mixfix_of_spec ((_, mx), _) = mx;
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fun mixfixed_ctr_specs_of_spec (_, mx_ctr_specs) = mx_ctr_specs;
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fun add_nesty_bnf_names Us =
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  let
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    fun add (Type (s, Ts)) ss =
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        let val (needs, ss') = fold_map add Ts ss in
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          if exists I needs then (true, insert (op =) s ss') else (false, ss')
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        end
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      | add T ss = (member (op =) Us T, ss);
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  in snd oo add end;
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fun nesty_bnfs ctxt ctr_Tsss Us =
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  map_filter (bnf_of ctxt) (fold (fold (fold (add_nesty_bnf_names Us))) ctr_Tsss []);
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fun indexify proj xs f p = f (find_index (curry (op =) (proj p)) xs) p;
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type lfp_sugar_thms =
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  (thm list * thm * Args.src list) * (thm list list * Args.src list);
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fun morph_lfp_sugar_thms phi ((inducts, induct, induct_attrs), (recss, rec_attrs)) =
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  ((map (Morphism.thm phi) inducts, Morphism.thm phi induct, induct_attrs),
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   (map (map (Morphism.thm phi)) recss, rec_attrs))
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  : lfp_sugar_thms;
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val transfer_lfp_sugar_thms =
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  morph_lfp_sugar_thms o Morphism.transfer_morphism o Proof_Context.theory_of;
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type gfp_sugar_thms =
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  ((thm list * thm) list * Args.src list)
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  * (thm list list * Args.src list)
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  * (thm list list * Args.src list)
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  * (thm list list * Args.src list)
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  * (thm list list list * Args.src list);
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fun morph_gfp_sugar_thms phi ((coinducts_pairs, coinduct_attrs),
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    (corecss, corec_attrs), (disc_corecss, disc_rec_attrs),
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    (disc_corec_iffss, disc_rec_iff_attrs), (sel_corecsss, sel_rec_attrs)) =
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  ((map (apfst (map (Morphism.thm phi)) o apsnd (Morphism.thm phi)) coinducts_pairs,
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    coinduct_attrs),
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   (map (map (Morphism.thm phi)) corecss, corec_attrs),
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   (map (map (Morphism.thm phi)) disc_corecss, disc_rec_attrs),
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   (map (map (Morphism.thm phi)) disc_corec_iffss, disc_rec_iff_attrs),
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   (map (map (map (Morphism.thm phi))) sel_corecsss, sel_rec_attrs)) : gfp_sugar_thms;
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val transfer_gfp_sugar_thms =
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  morph_gfp_sugar_thms o Morphism.transfer_morphism o Proof_Context.theory_of;
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fun mk_recs_args_types ctr_Tsss Cs absTs repTs ns mss ctor_rec_fun_Ts lthy =
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  let
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    val Css = map2 replicate ns Cs;
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    val x_Tssss =
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      map6 (fn absT => fn repT => fn n => fn ms => fn ctr_Tss => fn ctor_rec_fun_T =>
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          map2 (map2 unzip_recT)
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            ctr_Tss (dest_absumprodT absT repT n ms (domain_type ctor_rec_fun_T)))
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        absTs repTs ns mss ctr_Tsss ctor_rec_fun_Ts;
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    val x_Tsss' = map (map flat_rec_arg_args) x_Tssss;
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    val f_Tss = map2 (map2 (curry (op --->))) x_Tsss' Css;
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    val ((fss, xssss), lthy) =
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      lthy
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      |> mk_Freess "f" f_Tss
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      ||>> mk_Freessss "x" x_Tssss;
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  in
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    ((f_Tss, x_Tssss, fss, xssss), lthy)
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  end;
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(*avoid "'a itself" arguments in corecursors*)
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fun repair_nullary_single_ctr [[]] = [[@{typ unit}]]
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  | repair_nullary_single_ctr Tss = Tss;
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   372
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fun mk_corec_fun_arg_types0 ctr_Tsss Cs absTs repTs ns mss fun_Ts =
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  let
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    val ctr_Tsss' = map repair_nullary_single_ctr ctr_Tsss;
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    val g_absTs = map range_type fun_Ts;
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    val g_Tsss = map repair_nullary_single_ctr (map5 dest_absumprodT absTs repTs ns mss g_absTs);
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    val g_Tssss = map3 (fn C => map2 (map2 (map (curry (op -->) C) oo unzip_corecT)))
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      Cs ctr_Tsss' g_Tsss;
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    val q_Tssss = map (map (map (fn [_] => [] | [_, T] => [mk_pred1T (domain_type T)]))) g_Tssss;
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  in
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    (q_Tssss, g_Tsss, g_Tssss, g_absTs)
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  end;
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   384
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fun mk_corec_p_pred_types Cs ns = map2 (fn n => replicate (Int.max (0, n - 1)) o mk_pred1T) ns Cs;
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fun mk_corec_fun_arg_types ctr_Tsss Cs absTs repTs ns mss dtor_corec =
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  (mk_corec_p_pred_types Cs ns,
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   mk_corec_fun_arg_types0 ctr_Tsss Cs absTs repTs ns mss
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   390
     (binder_fun_types (fastype_of dtor_corec)));
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   391
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   392
fun mk_corecs_args_types ctr_Tsss Cs absTs repTs ns mss dtor_corec_fun_Ts lthy =
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   393
  let
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   394
    val p_Tss = mk_corec_p_pred_types Cs ns;
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   395
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   396
    val (q_Tssss, g_Tsss, g_Tssss, corec_types) =
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   397
      mk_corec_fun_arg_types0 ctr_Tsss Cs absTs repTs ns mss dtor_corec_fun_Ts;
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   398
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   399
    val (((((Free (x, _), cs), pss), qssss), gssss), lthy) =
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   400
      lthy
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   401
      |> yield_singleton (mk_Frees "x") dummyT
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   402
      ||>> mk_Frees "a" Cs
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   403
      ||>> mk_Freess "p" p_Tss
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   404
      ||>> mk_Freessss "q" q_Tssss
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   405
      ||>> mk_Freessss "g" g_Tssss;
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   406
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   407
    val cpss = map2 (map o rapp) cs pss;
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   408
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   409
    fun build_sum_inj mk_inj = build_map lthy (uncurry mk_inj o dest_sumT o snd);
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   410
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   411
    fun build_dtor_corec_arg _ [] [cf] = cf
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   412
      | build_dtor_corec_arg T [cq] [cf, cf'] =
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   413
        mk_If cq (build_sum_inj Inl_const (fastype_of cf, T) $ cf)
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   414
          (build_sum_inj Inr_const (fastype_of cf', T) $ cf');
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   415
55869
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   416
    val pgss = map3 flat_corec_preds_predsss_gettersss pss qssss gssss;
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   417
    val cqssss = map2 (map o map o map o rapp) cs qssss;
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   418
    val cgssss = map2 (map o map o map o rapp) cs gssss;
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   419
    val cqgsss = map3 (map3 (map3 build_dtor_corec_arg)) g_Tsss cqssss cgssss;
51831
blanchet
parents: 51830
diff changeset
   420
  in
55869
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   421
    ((x, cs, cpss, ((pgss, cqgsss), corec_types)), lthy)
51831
blanchet
parents: 51830
diff changeset
   422
  end;
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   423
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   424
fun mk_co_recs_prelims fp ctr_Tsss fpTs Cs absTs repTs ns mss xtor_co_recs0 lthy =
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   425
  let
52169
blanchet
parents: 51912
diff changeset
   426
    val thy = Proof_Context.theory_of lthy;
55862
b458558cbcc2 optimized simple non-recursive datatypes by reusing 'case' for 'rec' constant
blanchet
parents: 55861
diff changeset
   427
    val nn = length fpTs;
52169
blanchet
parents: 51912
diff changeset
   428
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   429
    val (xtor_co_rec_fun_Ts, xtor_co_recs) =
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   430
      mk_xtor_co_recs thy fp fpTs Cs xtor_co_recs0 |> `(binder_fun_types o fastype_of o hd);
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   431
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   432
    val ((recs_args_types, corecs_args_types), lthy') =
52207
21026c312cc3 tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents: 52197
diff changeset
   433
      if fp = Least_FP then
55862
b458558cbcc2 optimized simple non-recursive datatypes by reusing 'case' for 'rec' constant
blanchet
parents: 55861
diff changeset
   434
        if nn = 1 andalso forall (forall (forall (not o exists_subtype_in fpTs))) ctr_Tsss then
b458558cbcc2 optimized simple non-recursive datatypes by reusing 'case' for 'rec' constant
blanchet
parents: 55861
diff changeset
   435
          ((NONE, NONE), lthy)
b458558cbcc2 optimized simple non-recursive datatypes by reusing 'case' for 'rec' constant
blanchet
parents: 55861
diff changeset
   436
        else
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   437
          mk_recs_args_types ctr_Tsss Cs absTs repTs ns mss xtor_co_rec_fun_Ts lthy
55862
b458558cbcc2 optimized simple non-recursive datatypes by reusing 'case' for 'rec' constant
blanchet
parents: 55861
diff changeset
   438
          |>> (rpair NONE o SOME)
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   439
      else
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   440
        mk_corecs_args_types ctr_Tsss Cs absTs repTs ns mss xtor_co_rec_fun_Ts lthy
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   441
        |>> (pair NONE o SOME);
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   442
  in
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   443
    ((xtor_co_recs, recs_args_types, corecs_args_types), lthy')
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   444
  end;
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
   445
55869
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   446
fun mk_preds_getterss_join c cps absT abs cqgss =
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   447
  let
55869
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   448
    val n = length cqgss;
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   449
    val ts = map2 (mk_absumprod absT abs n) (1 upto n) cqgss;
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   450
  in
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   451
    Term.lambda c (mk_IfN absT cps ts)
51900
blanchet
parents: 51899
diff changeset
   452
  end;
51886
e7fac4a483b5 started factoring out coiter construction
blanchet
parents: 51885
diff changeset
   453
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   454
fun define_co_rec fp fpT Cs b rhs lthy0 =
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   455
  let
52170
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   456
    val thy = Proof_Context.theory_of lthy0;
564be617ae84 generalized "mk_co_iter" to handle mutualized (co)iterators
blanchet
parents: 52169
diff changeset
   457
53569
b4db0ade27bd conceal definitions of high-level constructors and (co)iterators
traytel
parents: 53553
diff changeset
   458
    val maybe_conceal_def_binding = Thm.def_binding
b4db0ade27bd conceal definitions of high-level constructors and (co)iterators
traytel
parents: 53553
diff changeset
   459
      #> Config.get lthy0 bnf_note_all = false ? Binding.conceal;
b4db0ade27bd conceal definitions of high-level constructors and (co)iterators
traytel
parents: 53553
diff changeset
   460
55864
516ab2906e7e rationalized internals
blanchet
parents: 55863
diff changeset
   461
    val ((cst, (_, def)), (lthy', lthy)) = lthy0
516ab2906e7e rationalized internals
blanchet
parents: 55863
diff changeset
   462
      |> Local_Theory.define ((b, NoSyn), ((maybe_conceal_def_binding b, []), rhs))
52327
blanchet
parents: 52326
diff changeset
   463
      ||> `Local_Theory.restore;
blanchet
parents: 52326
diff changeset
   464
blanchet
parents: 52326
diff changeset
   465
    val phi = Proof_Context.export_morphism lthy lthy';
blanchet
parents: 52326
diff changeset
   466
55869
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   467
    val cst' = mk_co_rec thy fp fpT Cs (Morphism.term phi cst);
55864
516ab2906e7e rationalized internals
blanchet
parents: 55863
diff changeset
   468
    val def' = Morphism.thm phi def;
52327
blanchet
parents: 52326
diff changeset
   469
  in
55864
516ab2906e7e rationalized internals
blanchet
parents: 55863
diff changeset
   470
    ((cst', def'), lthy')
52327
blanchet
parents: 52326
diff changeset
   471
  end;
blanchet
parents: 52326
diff changeset
   472
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   473
fun define_rec NONE _ _ _ _ _ = pair (Term.dummy, refl)
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   474
  | define_rec (SOME (_, _, fss, xssss)) mk_binding fpTs Cs reps ctor_rec =
55862
b458558cbcc2 optimized simple non-recursive datatypes by reusing 'case' for 'rec' constant
blanchet
parents: 55861
diff changeset
   475
    let
b458558cbcc2 optimized simple non-recursive datatypes by reusing 'case' for 'rec' constant
blanchet
parents: 55861
diff changeset
   476
      val nn = length fpTs;
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   477
      val (ctor_rec_absTs, fpT) = strip_typeN nn (fastype_of ctor_rec)
55862
b458558cbcc2 optimized simple non-recursive datatypes by reusing 'case' for 'rec' constant
blanchet
parents: 55861
diff changeset
   478
        |>> map domain_type ||> domain_type;
55864
516ab2906e7e rationalized internals
blanchet
parents: 55863
diff changeset
   479
    in
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   480
      define_co_rec Least_FP fpT Cs (mk_binding recN)
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   481
        (fold_rev (fold_rev Term.lambda) fss (Term.list_comb (ctor_rec,
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   482
           map4 (fn ctor_rec_absT => fn rep => fn fs => fn xsss =>
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   483
               mk_case_absumprod ctor_rec_absT rep fs
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   484
                 (map (HOLogic.mk_tuple o map HOLogic.mk_tuple) xsss) (map flat_rec_arg_args xsss))
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   485
             ctor_rec_absTs reps fss xssss)))
55862
b458558cbcc2 optimized simple non-recursive datatypes by reusing 'case' for 'rec' constant
blanchet
parents: 55861
diff changeset
   486
    end;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   487
55869
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   488
fun define_corec (_, cs, cpss, ((pgss, cqgsss), f_absTs)) mk_binding fpTs Cs abss dtor_corec =
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   489
  let
51899
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   490
    val nn = length fpTs;
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   491
    val fpT = range_type (snd (strip_typeN nn (fastype_of dtor_corec)));
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   492
  in
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   493
    define_co_rec Greatest_FP fpT Cs (mk_binding corecN)
55869
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   494
      (fold_rev (fold_rev Term.lambda) pgss (Term.list_comb (dtor_corec,
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   495
         map5 mk_preds_getterss_join cs cpss f_absTs abss cqgsss)))
52320
blanchet
parents: 52319
diff changeset
   496
  end;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   497
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   498
fun derive_induct_recs_thms_for_types pre_bnfs rec_args_typess ctor_induct ctor_rec_thms
55856
bddaada24074 got rid of automatically generated fold constant and theorems (to reduce overhead)
blanchet
parents: 55803
diff changeset
   499
    nesting_bnfs nested_bnfs fpTs Cs Xs ctrXs_Tsss fp_abs_inverses fp_type_definitions abs_inverses
55864
516ab2906e7e rationalized internals
blanchet
parents: 55863
diff changeset
   500
    ctrss ctr_defss recs rec_defs lthy =
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   501
  let
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   502
    val ctr_Tsss = map (map (binder_types o fastype_of)) ctrss;
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   503
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   504
    val nn = length pre_bnfs;
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   505
    val ns = map length ctr_Tsss;
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   506
    val mss = map (map length) ctr_Tsss;
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   507
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   508
    val pre_map_defs = map map_def_of_bnf pre_bnfs;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   509
    val pre_set_defss = map set_defs_of_bnf pre_bnfs;
53329
c31c0c311cf0 more canonical naming
blanchet
parents: 53290
diff changeset
   510
    val nesting_map_idents = map (unfold_thms lthy [id_def] o map_id0_of_bnf) nesting_bnfs;
c31c0c311cf0 more canonical naming
blanchet
parents: 53290
diff changeset
   511
    val nested_map_idents = map (unfold_thms lthy [id_def] o map_id0_of_bnf) nested_bnfs;
53290
b6c3be868217 renamed BNF fact
blanchet
parents: 53285
diff changeset
   512
    val nested_set_maps = maps set_map_of_bnf nested_bnfs;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   513
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   514
    val fp_b_names = map base_name_of_typ fpTs;
51811
1461426e2bf1 tuned function signatures
blanchet
parents: 51810
diff changeset
   515
51832
blanchet
parents: 51831
diff changeset
   516
    val ((((ps, ps'), xsss), us'), names_lthy) =
52315
fafab8eac3ee avoid duplicate call to "mk_fold_rec_args_types" function
blanchet
parents: 52314
diff changeset
   517
      lthy
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   518
      |> mk_Frees' "P" (map mk_pred1T fpTs)
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   519
      ||>> mk_Freesss "x" ctr_Tsss
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   520
      ||>> Variable.variant_fixes fp_b_names;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   521
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   522
    val us = map2 (curry Free) us' fpTs;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   523
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   524
    fun mk_sets_nested bnf =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   525
      let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   526
        val Type (T_name, Us) = T_of_bnf bnf;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   527
        val lives = lives_of_bnf bnf;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   528
        val sets = sets_of_bnf bnf;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   529
        fun mk_set U =
54237
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   530
          (case find_index (curry (op =) U) lives of
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   531
            ~1 => Term.dummy
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   532
          | i => nth sets i);
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   533
      in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   534
        (T_name, map mk_set Us)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   535
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   536
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   537
    val setss_nested = map mk_sets_nested nested_bnfs;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   538
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   539
    val (induct_thms, induct_thm) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   540
      let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   541
        fun mk_set Ts t =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   542
          let val Type (_, Ts0) = domain_type (fastype_of t) in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   543
            Term.subst_atomic_types (Ts0 ~~ Ts) t
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   544
          end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   545
52310
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   546
        fun mk_raw_prem_prems _ (x as Free (_, Type _)) (X as TFree _) =
54237
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   547
            [([], (find_index (curry (op =) X) Xs + 1, x))]
52310
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   548
          | mk_raw_prem_prems names_lthy (x as Free (s, Type (T_name, Ts0))) (Type (_, Xs_Ts0)) =
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   549
            (case AList.lookup (op =) setss_nested T_name of
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   550
              NONE => []
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   551
            | SOME raw_sets0 =>
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   552
              let
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   553
                val (Xs_Ts, (Ts, raw_sets)) =
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   554
                  filter (exists_subtype_in Xs o fst) (Xs_Ts0 ~~ (Ts0 ~~ raw_sets0))
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   555
                  |> split_list ||> split_list;
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   556
                val sets = map (mk_set Ts0) raw_sets;
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   557
                val (ys, names_lthy') = names_lthy |> mk_Frees s Ts;
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   558
                val xysets = map (pair x) (ys ~~ sets);
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   559
                val ppremss = map2 (mk_raw_prem_prems names_lthy') ys Xs_Ts;
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   560
              in
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   561
                flat (map2 (map o apfst o cons) xysets ppremss)
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   562
              end)
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   563
          | mk_raw_prem_prems _ _ _ = [];
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   564
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   565
        fun close_prem_prem xs t =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   566
          fold_rev Logic.all (map Free (drop (nn + length xs)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   567
            (rev (Term.add_frees t (map dest_Free xs @ ps'))))) t;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   568
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   569
        fun mk_prem_prem xs (xysets, (j, x)) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   570
          close_prem_prem xs (Logic.list_implies (map (fn (x', (y, set)) =>
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   571
              HOLogic.mk_Trueprop (HOLogic.mk_mem (y, set $ x'))) xysets,
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   572
            HOLogic.mk_Trueprop (nth ps (j - 1) $ x)));
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   573
52310
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   574
        fun mk_raw_prem phi ctr ctr_Ts ctrXs_Ts =
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   575
          let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   576
            val (xs, names_lthy') = names_lthy |> mk_Frees "x" ctr_Ts;
52310
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   577
            val pprems = flat (map2 (mk_raw_prem_prems names_lthy') xs ctrXs_Ts);
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   578
          in (xs, pprems, HOLogic.mk_Trueprop (phi $ Term.list_comb (ctr, xs))) end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   579
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   580
        fun mk_prem (xs, raw_pprems, concl) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   581
          fold_rev Logic.all xs (Logic.list_implies (map (mk_prem_prem xs) raw_pprems, concl));
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   582
52310
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   583
        val raw_premss = map4 (map3 o mk_raw_prem) ps ctrss ctr_Tsss ctrXs_Tsss;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   584
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   585
        val goal =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   586
          Library.foldr (Logic.list_implies o apfst (map mk_prem)) (raw_premss,
54237
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   587
            HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj (map2 (curry (op $)) ps us)));
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   588
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   589
        val kksss = map (map (map (fst o snd) o #2)) raw_premss;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   590
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   591
        val ctor_induct' = ctor_induct OF (map2 mk_absumprodE fp_type_definitions mss);
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   592
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   593
        val thm =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   594
          Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   595
            mk_induct_tac ctxt nn ns mss kksss (flat ctr_defss) ctor_induct' fp_abs_inverses
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   596
              abs_inverses nested_set_maps pre_set_defss)
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   597
          |> singleton (Proof_Context.export names_lthy lthy)
55409
b74248961819 made 'ctr_sugar' more friendly to the 'datatype_realizer'
blanchet
parents: 55397
diff changeset
   598
          (* for "datatype_realizer.ML": *)
b74248961819 made 'ctr_sugar' more friendly to the 'datatype_realizer'
blanchet
parents: 55397
diff changeset
   599
          |> Thm.name_derivation (fst (dest_Type (hd fpTs)) ^ Long_Name.separator ^
b74248961819 made 'ctr_sugar' more friendly to the 'datatype_realizer'
blanchet
parents: 55397
diff changeset
   600
            (if nn > 1 then space_implode "_" (tl fp_b_names) ^ Long_Name.separator else "") ^
b74248961819 made 'ctr_sugar' more friendly to the 'datatype_realizer'
blanchet
parents: 55397
diff changeset
   601
            inductN);
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   602
      in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   603
        `(conj_dests nn) thm
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   604
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   605
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   606
    val induct_cases = quasi_unambiguous_case_names (maps (map name_of_ctr) ctrss);
52305
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   607
    val induct_case_names_attr = Attrib.internal (K (Rule_Cases.case_names induct_cases));
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   608
52305
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   609
    val xctrss = map2 (map2 (curry Term.list_comb)) ctrss xsss;
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   610
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   611
    fun mk_rec_thmss (_, x_Tssss, fss, _) recs rec_defs ctor_rec_thms =
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   612
      let
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   613
        val frecs = map (lists_bmoc fss) recs;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   614
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   615
        fun mk_goal fss frec xctr f xs fxs =
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   616
          fold_rev (fold_rev Logic.all) (xs :: fss)
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   617
            (mk_Trueprop_eq (frec $ xctr, Term.list_comb (f, fxs)));
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   618
52302
blanchet
parents: 52301
diff changeset
   619
        fun maybe_tick (T, U) u f =
blanchet
parents: 52301
diff changeset
   620
          if try (fst o HOLogic.dest_prodT) U = SOME T then
blanchet
parents: 52301
diff changeset
   621
            Term.lambda u (HOLogic.mk_prod (u, f $ u))
blanchet
parents: 52301
diff changeset
   622
          else
blanchet
parents: 52301
diff changeset
   623
            f;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   624
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   625
        fun build_rec (x as Free (_, T)) U =
52368
blanchet
parents: 52367
diff changeset
   626
          if T = U then
blanchet
parents: 52367
diff changeset
   627
            x
blanchet
parents: 52367
diff changeset
   628
          else
52303
16d7708aba40 one less flaky "fpTs" check (flaky in the presence of duplicates in "fpTs", which we want to have in "primrec")
blanchet
parents: 52302
diff changeset
   629
            build_map lthy (indexify (perhaps (try (snd o HOLogic.dest_prodT)) o snd) Cs
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   630
              (fn kk => fn TU => maybe_tick TU (nth us kk) (nth frecs kk))) (T, U) $ x;
52301
7935e82a4ae4 simpler, more robust iterator goal construction code
blanchet
parents: 52300
diff changeset
   631
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   632
        val fxsss = map2 (map2 (flat_rec_arg_args oo map2 (map o build_rec))) xsss x_Tssss;
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   633
        val goalss = map5 (map4 o mk_goal fss) frecs xctrss fss xsss fxsss;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   634
52305
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   635
        val tacss =
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   636
          map4 (map ooo mk_rec_tac pre_map_defs (nested_map_idents @ nesting_map_idents) rec_defs)
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   637
            ctor_rec_thms fp_abs_inverses abs_inverses ctr_defss;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   638
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   639
        fun prove goal tac =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   640
          Goal.prove_sorry lthy [] [] goal (tac o #context)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   641
          |> Thm.close_derivation;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   642
      in
52305
3f7b92017d71 avoid code duplication
blanchet
parents: 52304
diff changeset
   643
        map2 (map2 prove) goalss tacss
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   644
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   645
55862
b458558cbcc2 optimized simple non-recursive datatypes by reusing 'case' for 'rec' constant
blanchet
parents: 55861
diff changeset
   646
    val rec_thmss =
b458558cbcc2 optimized simple non-recursive datatypes by reusing 'case' for 'rec' constant
blanchet
parents: 55861
diff changeset
   647
      (case rec_args_typess of
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   648
        SOME types => mk_rec_thmss types recs rec_defs ctor_rec_thms
55862
b458558cbcc2 optimized simple non-recursive datatypes by reusing 'case' for 'rec' constant
blanchet
parents: 55861
diff changeset
   649
      | NONE => replicate nn []);
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   650
  in
52345
blanchet
parents: 52344
diff changeset
   651
    ((induct_thms, induct_thm, [induct_case_names_attr]),
55856
bddaada24074 got rid of automatically generated fold constant and theorems (to reduce overhead)
blanchet
parents: 55803
diff changeset
   652
     (rec_thmss, code_nitpicksimp_attrs @ simp_attrs))
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   653
  end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   654
55869
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   655
fun derive_coinduct_corecs_thms_for_types pre_bnfs (x, cs, cpss,
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   656
      corecs_args_types as ((pgss, cqgsss), _))
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   657
    dtor_coinduct dtor_injects dtor_ctors dtor_corec_thms nesting_bnfs fpTs Cs Xs ctrXs_Tsss kss
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   658
    mss ns fp_abs_inverses abs_inverses mk_vimage2p ctr_defss (ctr_sugars : ctr_sugar list)
55864
516ab2906e7e rationalized internals
blanchet
parents: 55863
diff changeset
   659
    corecs corec_defs export_args lthy =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   660
  let
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   661
    fun mk_ctor_dtor_corec_thm dtor_inject dtor_ctor corec =
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   662
      iffD1 OF [dtor_inject, trans OF [corec, dtor_ctor RS sym]];
53203
222ea6acbdd6 moved derivation of ctor_dtor_unfold to sugar (streamlines fp_result interface)
traytel
parents: 53143
diff changeset
   663
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   664
    val ctor_dtor_corec_thms = map3 mk_ctor_dtor_corec_thm dtor_injects dtor_ctors dtor_corec_thms;
53203
222ea6acbdd6 moved derivation of ctor_dtor_unfold to sugar (streamlines fp_result interface)
traytel
parents: 53143
diff changeset
   665
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   666
    val nn = length pre_bnfs;
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   667
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   668
    val pre_map_defs = map map_def_of_bnf pre_bnfs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   669
    val pre_rel_defs = map rel_def_of_bnf pre_bnfs;
53329
c31c0c311cf0 more canonical naming
blanchet
parents: 53290
diff changeset
   670
    val nesting_map_idents = map (unfold_thms lthy [id_def] o map_id0_of_bnf) nesting_bnfs;
51830
blanchet
parents: 51829
diff changeset
   671
    val nesting_rel_eqs = map rel_eq_of_bnf nesting_bnfs;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   672
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   673
    val fp_b_names = map base_name_of_typ fpTs;
51811
1461426e2bf1 tuned function signatures
blanchet
parents: 51810
diff changeset
   674
53210
7219c61796c0 simplify code (now that ctr_sugar uses the same type variables as fp_sugar)
blanchet
parents: 53203
diff changeset
   675
    val ctrss = map #ctrs ctr_sugars;
7219c61796c0 simplify code (now that ctr_sugar uses the same type variables as fp_sugar)
blanchet
parents: 53203
diff changeset
   676
    val discss = map #discs ctr_sugars;
7219c61796c0 simplify code (now that ctr_sugar uses the same type variables as fp_sugar)
blanchet
parents: 53203
diff changeset
   677
    val selsss = map #selss ctr_sugars;
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   678
    val exhausts = map #exhaust ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   679
    val disc_thmsss = map #disc_thmss ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   680
    val discIss = map #discIs ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   681
    val sel_thmsss = map #sel_thmss ctr_sugars;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   682
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   683
    val (((rs, us'), vs'), names_lthy) =
52341
blanchet
parents: 52340
diff changeset
   684
      lthy
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   685
      |> mk_Frees "R" (map (fn T => mk_pred2T T T) fpTs)
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   686
      ||>> Variable.variant_fixes fp_b_names
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   687
      ||>> Variable.variant_fixes (map (suffix "'") fp_b_names);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   688
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   689
    val us = map2 (curry Free) us' fpTs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   690
    val udiscss = map2 (map o rapp) us discss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   691
    val uselsss = map2 (map o map o rapp) us selsss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   692
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   693
    val vs = map2 (curry Free) vs' fpTs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   694
    val vdiscss = map2 (map o rapp) vs discss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   695
    val vselsss = map2 (map o map o rapp) vs selsss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   696
52345
blanchet
parents: 52344
diff changeset
   697
    val coinduct_thms_pairs =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   698
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   699
        val uvrs = map3 (fn r => fn u => fn v => r $ u $ v) rs us vs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   700
        val uv_eqs = map2 (curry HOLogic.mk_eq) us vs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   701
        val strong_rs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   702
          map4 (fn u => fn v => fn uvr => fn uv_eq =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   703
            fold_rev Term.lambda [u, v] (HOLogic.mk_disj (uvr, uv_eq))) us vs uvrs uv_eqs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   704
54237
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   705
        fun build_the_rel rs' T Xs_T =
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   706
          build_rel lthy (fn (_, X) => nth rs' (find_index (curry (op =) X) Xs)) (T, Xs_T)
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   707
          |> Term.subst_atomic_types (Xs ~~ fpTs);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   708
54237
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   709
        fun build_rel_app rs' usel vsel Xs_T =
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   710
          fold rapp [usel, vsel] (build_the_rel rs' (fastype_of usel) Xs_T);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   711
54237
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   712
        fun mk_prem_ctr_concls rs' n k udisc usels vdisc vsels ctrXs_Ts =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   713
          (if k = n then [] else [HOLogic.mk_eq (udisc, vdisc)]) @
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   714
          (if null usels then
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   715
             []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   716
           else
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   717
             [Library.foldr HOLogic.mk_imp (if n = 1 then [] else [udisc, vdisc],
54237
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   718
                Library.foldr1 HOLogic.mk_conj (map3 (build_rel_app rs') usels vsels ctrXs_Ts))]);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   719
54237
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   720
        fun mk_prem_concl rs' n udiscs uselss vdiscs vselss ctrXs_Tss =
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   721
          Library.foldr1 HOLogic.mk_conj (flat (map6 (mk_prem_ctr_concls rs' n)
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   722
            (1 upto n) udiscs uselss vdiscs vselss ctrXs_Tss))
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   723
          handle List.Empty => @{term True};
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   724
54237
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   725
        fun mk_prem rs' uvr u v n udiscs uselss vdiscs vselss ctrXs_Tss =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   726
          fold_rev Logic.all [u, v] (Logic.mk_implies (HOLogic.mk_Trueprop uvr,
54237
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   727
            HOLogic.mk_Trueprop (mk_prem_concl rs' n udiscs uselss vdiscs vselss ctrXs_Tss)));
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   728
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   729
        val concl =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   730
          HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   731
            (map3 (fn uvr => fn u => fn v => HOLogic.mk_imp (uvr, HOLogic.mk_eq (u, v)))
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   732
               uvrs us vs));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   733
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   734
        fun mk_goal rs' =
54237
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   735
          Logic.list_implies (map9 (mk_prem rs') uvrs us vs ns udiscss uselsss vdiscss vselsss
7cc6e286fe28 made sugared 'coinduct' theorem construction n2m-proof
blanchet
parents: 54236
diff changeset
   736
            ctrXs_Tsss, concl);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   737
52345
blanchet
parents: 52344
diff changeset
   738
        val goals = map mk_goal [rs, strong_rs];
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   739
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   740
        fun prove dtor_coinduct' goal =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   741
          Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   742
            mk_coinduct_tac ctxt nesting_rel_eqs nn ns dtor_coinduct' pre_rel_defs fp_abs_inverses
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   743
              abs_inverses dtor_ctors exhausts ctr_defss disc_thmsss sel_thmsss)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   744
          |> singleton (Proof_Context.export names_lthy lthy)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   745
          |> Thm.close_derivation;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   746
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   747
        fun postproc nn thm =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   748
          Thm.permute_prems 0 nn
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   749
            (if nn = 1 then thm RS mp else funpow nn (fn thm => reassoc_conjs (thm RS mp_conj)) thm)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   750
          |> Drule.zero_var_indexes
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   751
          |> `(conj_dests nn);
53106
d81211f61a1b moved derivation of strong coinduction to sugar
traytel
parents: 53037
diff changeset
   752
d81211f61a1b moved derivation of strong coinduction to sugar
traytel
parents: 53037
diff changeset
   753
        val rel_eqs = map rel_eq_of_bnf pre_bnfs;
d81211f61a1b moved derivation of strong coinduction to sugar
traytel
parents: 53037
diff changeset
   754
        val rel_monos = map rel_mono_of_bnf pre_bnfs;
d81211f61a1b moved derivation of strong coinduction to sugar
traytel
parents: 53037
diff changeset
   755
        val dtor_coinducts =
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   756
          [dtor_coinduct, mk_strong_coinduct_thm dtor_coinduct rel_eqs rel_monos mk_vimage2p lthy]
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   757
      in
52345
blanchet
parents: 52344
diff changeset
   758
        map2 (postproc nn oo prove) dtor_coinducts goals
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   759
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   760
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   761
    fun mk_coinduct_concls ms discs ctrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   762
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   763
        fun mk_disc_concl disc = [name_of_disc disc];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   764
        fun mk_ctr_concl 0 _ = []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   765
          | mk_ctr_concl _ ctor = [name_of_ctr ctor];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   766
        val disc_concls = map mk_disc_concl (fst (split_last discs)) @ [[]];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   767
        val ctr_concls = map2 mk_ctr_concl ms ctrs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   768
      in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   769
        flat (map2 append disc_concls ctr_concls)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   770
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   771
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   772
    val coinduct_cases = quasi_unambiguous_case_names (map (prefix EqN) fp_b_names);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   773
    val coinduct_conclss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   774
      map3 (quasi_unambiguous_case_names ooo mk_coinduct_concls) mss discss ctrss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   775
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   776
    fun mk_maybe_not pos = not pos ? HOLogic.mk_not;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   777
55869
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   778
    val gcorecs = map (lists_bmoc pgss) corecs;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   779
55856
bddaada24074 got rid of automatically generated fold constant and theorems (to reduce overhead)
blanchet
parents: 55803
diff changeset
   780
    val corec_thmss =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   781
      let
55869
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   782
        fun mk_goal c cps gcorec n k ctr m cfs' =
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   783
          fold_rev (fold_rev Logic.all) ([c] :: pgss)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   784
            (Logic.list_implies (seq_conds (HOLogic.mk_Trueprop oo mk_maybe_not) n k cps,
55869
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   785
               mk_Trueprop_eq (gcorec $ c, Term.list_comb (ctr, take m cfs'))));
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   786
55869
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   787
        val mk_U = typ_subst_nonatomic (map2 (fn C => fn fpT => (mk_sumT (fpT, C), fpT)) Cs fpTs);
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   788
55869
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   789
        fun tack (c, u) f =
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   790
          let val x' = Free (x, mk_sumT (fastype_of u, fastype_of c)) in
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   791
            Term.lambda x' (mk_case_sum (Term.lambda u u, Term.lambda c (f $ c)) $ x')
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   792
          end;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   793
55869
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   794
        fun build_corec cqg =
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   795
          let val T = fastype_of cqg in
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   796
            if exists_subtype_in Cs T then
55869
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   797
              let val U = mk_U T in
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   798
                build_map lthy (indexify fst (map2 (curry mk_sumT) fpTs Cs) (fn kk => fn _ =>
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   799
                  tack (nth cs kk, nth us kk) (nth gcorecs kk))) (T, U) $ cqg
52368
blanchet
parents: 52367
diff changeset
   800
              end
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   801
            else
55869
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   802
              cqg
52347
ead18e3b2c1b changed back type of corecursor for nested case, effectively reverting aa66ea552357 and 78a3d5006cf1
blanchet
parents: 52346
diff changeset
   803
          end;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   804
55869
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   805
        val cqgsss' = map (map (map build_corec)) cqgsss;
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   806
        val goalss = map8 (map4 oooo mk_goal) cs cpss gcorecs ns kss ctrss mss cqgsss';
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   807
55856
bddaada24074 got rid of automatically generated fold constant and theorems (to reduce overhead)
blanchet
parents: 55803
diff changeset
   808
        val tacss =
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   809
          map4 (map ooo mk_corec_tac corec_defs nesting_map_idents)
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   810
            ctor_dtor_corec_thms pre_map_defs abs_inverses ctr_defss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   811
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   812
        fun prove goal tac =
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   813
          Goal.prove_sorry lthy [] [] goal (tac o #context)
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   814
          |> Thm.close_derivation;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   815
      in
55856
bddaada24074 got rid of automatically generated fold constant and theorems (to reduce overhead)
blanchet
parents: 55803
diff changeset
   816
        map2 (map2 prove) goalss tacss
bddaada24074 got rid of automatically generated fold constant and theorems (to reduce overhead)
blanchet
parents: 55803
diff changeset
   817
        |> map (map (unfold_thms lthy @{thms case_sum_if}))
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   818
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   819
55856
bddaada24074 got rid of automatically generated fold constant and theorems (to reduce overhead)
blanchet
parents: 55803
diff changeset
   820
    val disc_corec_iff_thmss =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   821
      let
55869
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   822
        fun mk_goal c cps gcorec n k disc =
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   823
          mk_Trueprop_eq (disc $ (gcorec $ c),
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   824
            if n = 1 then @{const True}
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   825
            else Library.foldr1 HOLogic.mk_conj (seq_conds mk_maybe_not n k cps));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   826
55869
54ddb003e128 rationalized internals
blanchet
parents: 55868
diff changeset
   827
        val goalss = map6 (map2 oooo mk_goal) cs cpss gcorecs ns kss discss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   828
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   829
        fun mk_case_split' cp = Drule.instantiate' [] [SOME (certify lthy cp)] @{thm case_split};
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   830
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   831
        val case_splitss' = map (map mk_case_split') cpss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   832
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   833
        val tacss = map3 (map oo mk_disc_corec_iff_tac) case_splitss' corec_thmss disc_thmsss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   834
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   835
        fun prove goal tac =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   836
          Goal.prove_sorry lthy [] [] goal (tac o #context)
52357
a5d3730043c2 use right context when exporting variables (cf. AFP Coinductive_List failures)
blanchet
parents: 52356
diff changeset
   837
          |> singleton export_args
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   838
          |> singleton (Proof_Context.export names_lthy lthy)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   839
          |> Thm.close_derivation;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   840
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   841
        fun proves [_] [_] = []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   842
          | proves goals tacs = map2 prove goals tacs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   843
      in
55856
bddaada24074 got rid of automatically generated fold constant and theorems (to reduce overhead)
blanchet
parents: 55803
diff changeset
   844
        map2 proves goalss tacss
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   845
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   846
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   847
    fun mk_disc_corec_thms corecs discIs = map (op RS) (corecs ~~ discIs);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   848
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   849
    val disc_corec_thmss = map2 mk_disc_corec_thms corec_thmss discIss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   850
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   851
    fun mk_sel_corec_thm corec_thm sel sel_thm =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   852
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   853
        val (domT, ranT) = dest_funT (fastype_of sel);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   854
        val arg_cong' =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   855
          Drule.instantiate' (map (SOME o certifyT lthy) [domT, ranT])
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   856
            [NONE, NONE, SOME (certify lthy sel)] arg_cong
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   857
          |> Thm.varifyT_global;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   858
        val sel_thm' = sel_thm RSN (2, trans);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   859
      in
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   860
        corec_thm RS arg_cong' RS sel_thm'
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   861
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   862
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   863
    fun mk_sel_corec_thms corec_thmss =
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   864
      map3 (map3 (map2 o mk_sel_corec_thm)) corec_thmss selsss sel_thmsss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   865
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
   866
    val sel_corec_thmsss = mk_sel_corec_thms corec_thmss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   867
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   868
    val coinduct_consumes_attr = Attrib.internal (K (Rule_Cases.consumes nn));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   869
    val coinduct_case_names_attr = Attrib.internal (K (Rule_Cases.case_names coinduct_cases));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   870
    val coinduct_case_concl_attrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   871
      map2 (fn casex => fn concls =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   872
          Attrib.internal (K (Rule_Cases.case_conclusion (casex, concls))))
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   873
        coinduct_cases coinduct_conclss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   874
    val coinduct_case_attrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   875
      coinduct_consumes_attr :: coinduct_case_names_attr :: coinduct_case_concl_attrs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   876
  in
52345
blanchet
parents: 52344
diff changeset
   877
    ((coinduct_thms_pairs, coinduct_case_attrs),
55856
bddaada24074 got rid of automatically generated fold constant and theorems (to reduce overhead)
blanchet
parents: 55803
diff changeset
   878
     (corec_thmss, code_nitpicksimp_attrs),
bddaada24074 got rid of automatically generated fold constant and theorems (to reduce overhead)
blanchet
parents: 55803
diff changeset
   879
     (disc_corec_thmss, []),
bddaada24074 got rid of automatically generated fold constant and theorems (to reduce overhead)
blanchet
parents: 55803
diff changeset
   880
     (disc_corec_iff_thmss, simp_attrs),
bddaada24074 got rid of automatically generated fold constant and theorems (to reduce overhead)
blanchet
parents: 55803
diff changeset
   881
     (sel_corec_thmsss, simp_attrs))
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   882
  end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   883
52207
21026c312cc3 tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents: 52197
diff changeset
   884
fun define_co_datatypes prepare_constraint prepare_typ prepare_term fp construct_fp
55410
54b09e82b9e1 killed 'rep_compat' option
blanchet
parents: 55409
diff changeset
   885
    (wrap_opts as (no_discs_sels, _), specs) no_defs_lthy0 =
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
   886
  let
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   887
    (* TODO: sanity checks on arguments *)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   888
52969
f2df0730f8ac clarified option name (since case/fold/rec are also destructors)
blanchet
parents: 52968
diff changeset
   889
    val _ = if fp = Greatest_FP andalso no_discs_sels then
f2df0730f8ac clarified option name (since case/fold/rec are also destructors)
blanchet
parents: 52968
diff changeset
   890
        error "Cannot define codatatypes without discriminators and selectors"
52207
21026c312cc3 tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents: 52197
diff changeset
   891
      else
21026c312cc3 tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents: 52197
diff changeset
   892
        ();
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   893
49367
blanchet
parents: 49366
diff changeset
   894
    val nn = length specs;
55469
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
   895
    val fp_bs = map type_binding_of_spec specs;
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   896
    val fp_b_names = map Binding.name_of fp_bs;
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   897
    val fp_common_name = mk_common_name fp_b_names;
55469
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
   898
    val map_bs = map map_binding_of_spec specs;
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
   899
    val rel_bs = map rel_binding_of_spec specs;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   900
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
   901
    fun prepare_type_arg (_, (ty, c)) =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   902
      let val TFree (s, _) = prepare_typ no_defs_lthy0 ty in
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   903
        TFree (s, prepare_constraint no_defs_lthy0 c)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   904
      end;
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   905
55469
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
   906
    val Ass0 = map (map prepare_type_arg o type_args_named_constrained_of_spec) specs;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   907
    val unsorted_Ass0 = map (map (resort_tfree HOLogic.typeS)) Ass0;
55700
cf6a029b28d8 more precise error message
blanchet
parents: 55699
diff changeset
   908
    val unsorted_As = Library.foldr1 (merge_type_args fp) unsorted_Ass0;
53266
89f7f1cc9ae3 cleaner handling of bootstrapping "fake" context, with fewer (no?) obscure bugs
blanchet
parents: 53264
diff changeset
   909
    val num_As = length unsorted_As;
55699
1f9cc432ecd4 reuse same parser for '(co)datatype(_new)' as for 'bnf_decl'
blanchet
parents: 55575
diff changeset
   910
1f9cc432ecd4 reuse same parser for '(co)datatype(_new)' as for 'bnf_decl'
blanchet
parents: 55575
diff changeset
   911
    val set_boss = map (map fst o type_args_named_constrained_of_spec) specs;
1f9cc432ecd4 reuse same parser for '(co)datatype(_new)' as for 'bnf_decl'
blanchet
parents: 55575
diff changeset
   912
    val set_bss = map (map (the_default Binding.empty)) set_boss;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   913
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   914
    val (((Bs0, Cs), Xs), no_defs_lthy) =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   915
      no_defs_lthy0
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   916
      |> fold (Variable.declare_typ o resort_tfree dummyS) unsorted_As
53266
89f7f1cc9ae3 cleaner handling of bootstrapping "fake" context, with fewer (no?) obscure bugs
blanchet
parents: 53264
diff changeset
   917
      |> mk_TFrees num_As
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   918
      ||>> mk_TFrees nn
51858
7a08fe1e19b1 added and moved library functions (used in primrec code)
blanchet
parents: 51857
diff changeset
   919
      ||>> variant_tfrees fp_b_names;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   920
55469
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
   921
    fun add_fake_type spec =
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
   922
      Typedecl.basic_typedecl (type_binding_of_spec spec, num_As, mixfix_of_spec spec);
51768
d2a236b10796 proper error generated for wrong mixfix
blanchet
parents: 51767
diff changeset
   923
53268
de1dc709f9d4 handle type class annotations on (co)datatype parameters gracefully
blanchet
parents: 53266
diff changeset
   924
    val (fake_T_names, fake_lthy) = fold_map add_fake_type specs no_defs_lthy0;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   925
53262
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
   926
    val qsoty = quote o Syntax.string_of_typ fake_lthy;
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
   927
54253
04cd231e2b9e nicer error message in case of duplicates
blanchet
parents: 54243
diff changeset
   928
    val _ = (case Library.duplicates (op =) unsorted_As of [] => ()
53262
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
   929
      | A :: _ => error ("Duplicate type parameter " ^ qsoty A ^ " in " ^ co_prefix fp ^
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
   930
          "datatype specification"));
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
   931
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
   932
    val bad_args =
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
   933
      map (Logic.type_map (singleton (Variable.polymorphic no_defs_lthy0))) unsorted_As
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
   934
      |> filter_out Term.is_TVar;
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
   935
    val _ = null bad_args orelse
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
   936
      error ("Locally fixed type argument " ^ qsoty (hd bad_args) ^ " in " ^ co_prefix fp ^
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
   937
        "datatype specification");
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
   938
55469
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
   939
    val mixfixes = map mixfix_of_spec specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   940
54253
04cd231e2b9e nicer error message in case of duplicates
blanchet
parents: 54243
diff changeset
   941
    val _ = (case Library.duplicates Binding.eq_name fp_bs of [] => ()
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   942
      | b :: _ => error ("Duplicate type name declaration " ^ quote (Binding.name_of b)));
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   943
55469
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
   944
    val mx_ctr_specss = map mixfixed_ctr_specs_of_spec specs;
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
   945
    val ctr_specss = map (map fst) mx_ctr_specss;
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
   946
    val ctr_mixfixess = map (map snd) mx_ctr_specss;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   947
55469
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
   948
    val disc_bindingss = map (map disc_of_ctr_spec) ctr_specss;
49336
blanchet
parents: 49330
diff changeset
   949
    val ctr_bindingss =
55469
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
   950
      map2 (fn fp_b_name => map (Binding.qualify false fp_b_name o ctr_of_ctr_spec)) fp_b_names
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
   951
        ctr_specss;
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
   952
    val ctr_argsss = map (map args_of_ctr_spec) ctr_specss;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   953
49336
blanchet
parents: 49330
diff changeset
   954
    val sel_bindingsss = map (map (map fst)) ctr_argsss;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   955
    val fake_ctr_Tsss0 = map (map (map (prepare_typ fake_lthy o snd))) ctr_argsss;
55469
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468
diff changeset
   956
    val raw_sel_defaultsss = map (map sel_defaults_of_ctr_spec) ctr_specss;
49286
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   957
49308
6190b701e4f4 reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents: 49302
diff changeset
   958
    val (As :: _) :: fake_ctr_Tsss =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   959
      burrow (burrow (Syntax.check_typs fake_lthy)) (Ass0 :: fake_ctr_Tsss0);
53262
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
   960
    val As' = map dest_TFree As;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   961
49183
0cc46e2dee7e careful about constructor types w.r.t. fake context (third step of localization)
blanchet
parents: 49182
diff changeset
   962
    val rhs_As' = fold (fold (fold Term.add_tfreesT)) fake_ctr_Tsss [];
53262
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
   963
    val _ = (case subtract (op =) As' rhs_As' of [] => ()
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
   964
      | extras => error ("Extra type variables on right-hand side: " ^
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
   965
          commas (map (qsoty o TFree) extras)));
49165
c6ccaf6df93c check type variables on rhs
blanchet
parents: 49161
diff changeset
   966
53268
de1dc709f9d4 handle type class annotations on (co)datatype parameters gracefully
blanchet
parents: 53266
diff changeset
   967
    val fake_Ts = map (fn s => Type (s, As)) fake_T_names;
de1dc709f9d4 handle type class annotations on (co)datatype parameters gracefully
blanchet
parents: 53266
diff changeset
   968
53262
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
   969
    fun eq_fpT_check (T as Type (s, Ts)) (T' as Type (s', Ts')) =
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
   970
        s = s' andalso (Ts = Ts' orelse
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
   971
          error ("Wrong type arguments in " ^ co_prefix fp ^ "recursive type " ^ qsoty T ^
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
   972
            " (expected " ^ qsoty T' ^ ")"))
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   973
      | eq_fpT_check _ _ = false;
49146
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
   974
53222
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
   975
    fun freeze_fp (T as Type (s, Ts)) =
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   976
        (case find_index (eq_fpT_check T) fake_Ts of
53222
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
   977
          ~1 => Type (s, map freeze_fp Ts)
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   978
        | kk => nth Xs kk)
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   979
      | freeze_fp T = T;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   980
53222
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
   981
    val unfreeze_fp = Term.typ_subst_atomic (Xs ~~ fake_Ts);
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
   982
52310
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
   983
    val ctrXs_Tsss = map (map (map freeze_fp)) fake_ctr_Tsss;
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   984
    val ctrXs_repTs = map (mk_sumTN_balanced o map HOLogic.mk_tupleT) ctrXs_Tsss;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   985
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   986
    val fp_eqs =
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   987
      map dest_TFree Xs ~~ map (Term.typ_subst_atomic (As ~~ unsorted_As)) ctrXs_repTs;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   988
53262
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
   989
    val rhsXs_As' = fold (fold (fold Term.add_tfreesT)) ctrXs_Tsss [];
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
   990
    val _ = (case subtract (op =) rhsXs_As' As' of [] => ()
53266
89f7f1cc9ae3 cleaner handling of bootstrapping "fake" context, with fewer (no?) obscure bugs
blanchet
parents: 53264
diff changeset
   991
      | extras => List.app (fn extra => warning ("Unused type variable on right-hand side of " ^
89f7f1cc9ae3 cleaner handling of bootstrapping "fake" context, with fewer (no?) obscure bugs
blanchet
parents: 53264
diff changeset
   992
          co_prefix fp ^ "datatype definition: " ^ qsoty (TFree extra))) extras);
53262
23927b18dce2 rationalize message generation + added a warning
blanchet
parents: 53260
diff changeset
   993
55701
38f75365fc2a added explicit killing
blanchet
parents: 55700
diff changeset
   994
    val killed_As =
38f75365fc2a added explicit killing
blanchet
parents: 55700
diff changeset
   995
      map_filter (fn (A, set_bos) => if exists is_none set_bos then SOME A else NONE)
38f75365fc2a added explicit killing
blanchet
parents: 55700
diff changeset
   996
        (unsorted_As ~~ transpose set_boss);
38f75365fc2a added explicit killing
blanchet
parents: 55700
diff changeset
   997
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
   998
    val ((pre_bnfs, absT_infos), (fp_res as {bnfs = fp_bnfs as any_fp_bnf :: _, ctors = ctors0,
55868
37b99986d435 rationalized internals
blanchet
parents: 55867
diff changeset
   999
             dtors = dtors0, xtor_co_recs = xtor_co_recs0, xtor_co_induct, dtor_ctors,
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1000
             ctor_dtors, ctor_injects, dtor_injects, xtor_map_thms, xtor_set_thmss, xtor_rel_thms,
55868
37b99986d435 rationalized internals
blanchet
parents: 55867
diff changeset
  1001
             xtor_co_rec_thms, ...},
53203
222ea6acbdd6 moved derivation of ctor_dtor_unfold to sugar (streamlines fp_result interface)
traytel
parents: 53143
diff changeset
  1002
           lthy)) =
55701
38f75365fc2a added explicit killing
blanchet
parents: 55700
diff changeset
  1003
      fp_bnf (construct_fp mixfixes map_bs rel_bs set_bss) fp_bs (map dest_TFree unsorted_As)
38f75365fc2a added explicit killing
blanchet
parents: 55700
diff changeset
  1004
        (map dest_TFree killed_As) fp_eqs no_defs_lthy0
53222
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1005
      handle BAD_DEAD (X, X_backdrop) =>
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1006
        (case X_backdrop of
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1007
          Type (bad_tc, _) =>
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1008
          let
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1009
            val fake_T = qsoty (unfreeze_fp X);
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1010
            val fake_T_backdrop = qsoty (unfreeze_fp X_backdrop);
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1011
            fun register_hint () =
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1012
              "\nUse the " ^ quote (fst (fst @{command_spec "bnf"})) ^ " command to register " ^
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1013
              quote bad_tc ^ " as a bounded natural functor to allow nested (co)recursion through \
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1014
              \it";
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1015
          in
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1016
            if is_some (bnf_of no_defs_lthy bad_tc) orelse
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1017
               is_some (fp_sugar_of no_defs_lthy bad_tc) then
53256
blanchet
parents: 53222
diff changeset
  1018
              error ("Inadmissible " ^ co_prefix fp ^ "recursive occurrence of type " ^ fake_T ^
blanchet
parents: 53222
diff changeset
  1019
                " in type expression " ^ fake_T_backdrop)
53222
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1020
            else if is_some (Datatype_Data.get_info (Proof_Context.theory_of no_defs_lthy)
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1021
                bad_tc) then
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1022
              error ("Unsupported " ^ co_prefix fp ^ "recursive occurrence of type " ^ fake_T ^
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1023
                " via the old-style datatype " ^ quote bad_tc ^ " in type expression " ^
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1024
                fake_T_backdrop ^ register_hint ())
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1025
            else
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1026
              error ("Unsupported " ^ co_prefix fp ^ "recursive occurrence of type " ^ fake_T ^
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1027
                " via type constructor " ^ quote bad_tc ^ " in type expression " ^ fake_T_backdrop ^
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1028
                register_hint ())
8b159677efb5 better error message
blanchet
parents: 53221
diff changeset
  1029
          end);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1030
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1031
    val abss = map #abs absT_infos;
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1032
    val reps = map #rep absT_infos;
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1033
    val absTs = map #absT absT_infos;
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1034
    val repTs = map #repT absT_infos;
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1035
    val abs_injects = map #abs_inject absT_infos;
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1036
    val abs_inverses = map #abs_inverse absT_infos;
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1037
    val type_definitions = map #type_definition absT_infos;
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1038
53143
ba80154a1118 configuration option to control timing output for (co)datatypes
traytel
parents: 53126
diff changeset
  1039
    val time = time lthy;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1040
    val timer = time (Timer.startRealTimer ());
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1041
52310
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
  1042
    val nesting_bnfs = nesty_bnfs lthy ctrXs_Tsss As;
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
  1043
    val nested_bnfs = nesty_bnfs lthy ctrXs_Tsss Xs;
49226
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
  1044
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1045
    val pre_map_defs = map map_def_of_bnf pre_bnfs;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1046
    val pre_set_defss = map set_defs_of_bnf pre_bnfs;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1047
    val pre_rel_defs = map rel_def_of_bnf pre_bnfs;
53290
b6c3be868217 renamed BNF fact
blanchet
parents: 53285
diff changeset
  1048
    val nesting_set_maps = maps set_map_of_bnf nesting_bnfs;
b6c3be868217 renamed BNF fact
blanchet
parents: 53285
diff changeset
  1049
    val nested_set_maps = maps set_map_of_bnf nested_bnfs;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1050
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1051
    val live = live_of_bnf any_fp_bnf;
52961
bb8787b20437 added warning
blanchet
parents: 52960
diff changeset
  1052
    val _ =
bb8787b20437 added warning
blanchet
parents: 52960
diff changeset
  1053
      if live = 0 andalso exists (not o Binding.is_empty) (map_bs @ rel_bs) then
53266
89f7f1cc9ae3 cleaner handling of bootstrapping "fake" context, with fewer (no?) obscure bugs
blanchet
parents: 53264
diff changeset
  1054
        warning "Map function and relator names ignored"
52961
bb8787b20437 added warning
blanchet
parents: 52960
diff changeset
  1055
      else
bb8787b20437 added warning
blanchet
parents: 52960
diff changeset
  1056
        ();
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1057
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1058
    val Bs =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1059
      map3 (fn alive => fn A as TFree (_, S) => fn B => if alive then resort_tfree S B else A)
53266
89f7f1cc9ae3 cleaner handling of bootstrapping "fake" context, with fewer (no?) obscure bugs
blanchet
parents: 53264
diff changeset
  1060
        (liveness_of_fp_bnf num_As any_fp_bnf) As Bs0;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1061
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1062
    val B_ify = Term.typ_subst_atomic (As ~~ Bs);
49167
68623861e0f2 print timing information
blanchet
parents: 49165
diff changeset
  1063
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1064
    val ctors = map (mk_ctor As) ctors0;
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1065
    val dtors = map (mk_dtor As) dtors0;
49124
968e1b7de057 more work on FP sugar
blanchet
parents: 49123
diff changeset
  1066
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1067
    val fpTs = map (domain_type o fastype_of) dtors;
49362
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
  1068
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1069
    fun massage_simple_notes base =
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1070
      filter_out (null o #2)
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1071
      #> map (fn (thmN, thms, attrs) =>
55410
54b09e82b9e1 killed 'rep_compat' option
blanchet
parents: 55409
diff changeset
  1072
        ((Binding.qualify true base (Binding.name thmN), attrs), [(thms, [])]));
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1073
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1074
    val massage_multi_notes =
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1075
      maps (fn (thmN, thmss, attrs) =>
53792
f0b273258d80 don't generate empty theorem collections
blanchet
parents: 53746
diff changeset
  1076
        map3 (fn fp_b_name => fn Type (T_name, _) => fn thms =>
55410
54b09e82b9e1 killed 'rep_compat' option
blanchet
parents: 55409
diff changeset
  1077
            ((Binding.qualify true fp_b_name (Binding.name thmN), attrs T_name), [(thms, [])]))
53792
f0b273258d80 don't generate empty theorem collections
blanchet
parents: 53746
diff changeset
  1078
          fp_b_names fpTs thmss)
f0b273258d80 don't generate empty theorem collections
blanchet
parents: 53746
diff changeset
  1079
      #> filter_out (null o fst o hd o snd);
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1080
52310
28063e412793 support induction principles with multiple occurrences of the same type in "fpTs" and (hopefully) with loss of recursion (e.g. primrec definition of is_nil, where the IH can be dropped)
blanchet
parents: 52309
diff changeset
  1081
    val ctr_Tsss = map (map (map (Term.typ_subst_atomic (Xs ~~ fpTs)))) ctrXs_Tsss;
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1082
    val ns = map length ctr_Tsss;
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
  1083
    val kss = map (fn n => 1 upto n) ns;
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1084
    val mss = map (map length) ctr_Tsss;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1085
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
  1086
    val ((xtor_co_recs, recs_args_types, corecs_args_types), lthy') =
55868
37b99986d435 rationalized internals
blanchet
parents: 55867
diff changeset
  1087
      mk_co_recs_prelims fp ctr_Tsss fpTs Cs absTs repTs ns mss xtor_co_recs0 lthy;
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
  1088
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1089
    fun define_ctrs_dtrs_for_type (((((((((((((((((((((((((((fp_bnf, fp_b), fpT), ctor), dtor),
55867
79b915f26533 rationalized internals
blanchet
parents: 55865
diff changeset
  1090
              xtor_co_rec), ctor_dtor), dtor_ctor), ctor_inject), pre_map_def), pre_set_defs),
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1091
            pre_rel_def), fp_map_thm), fp_set_thms), fp_rel_thm), n), ks), ms), abs),
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1092
          abs_inject), abs_inverse), type_definition), ctr_bindings), ctr_mixfixes), ctr_Tss),
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1093
        disc_bindings), sel_bindingss), raw_sel_defaultss) no_defs_lthy =
49176
6d29d2db5f88 construct high-level iterator RHS
blanchet
parents: 49169
diff changeset
  1094
      let
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1095
        val fp_b_name = Binding.name_of fp_b;
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1096
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1097
        val ctr_absT = domain_type (fastype_of ctor);
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1098
52968
2b430bbb5a1a define case constant from other 'free constructor' axioms
blanchet
parents: 52964
diff changeset
  1099
        val ((((w, xss), yss), u'), names_lthy) =
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
  1100
          no_defs_lthy
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1101
          |> yield_singleton (mk_Frees "w") ctr_absT
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
  1102
          ||>> mk_Freess "x" ctr_Tss
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1103
          ||>> mk_Freess "y" (map (map B_ify) ctr_Tss)
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1104
          ||>> yield_singleton Variable.variant_fixes fp_b_name;
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
  1105
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1106
        val u = Free (u', fpT);
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1107
49129
b5413cb7d860 define "case" constant
blanchet
parents: 49127
diff changeset
  1108
        val ctr_rhss =
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1109
          map2 (fn k => fn xs => fold_rev Term.lambda xs (ctor $ mk_absumprod ctr_absT abs n k xs))
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1110
            ks xss;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1111
53569
b4db0ade27bd conceal definitions of high-level constructors and (co)iterators
traytel
parents: 53553
diff changeset
  1112
        val maybe_conceal_def_binding = Thm.def_binding
b4db0ade27bd conceal definitions of high-level constructors and (co)iterators
traytel
parents: 53553
diff changeset
  1113
          #> Config.get no_defs_lthy bnf_note_all = false ? Binding.conceal;
b4db0ade27bd conceal definitions of high-level constructors and (co)iterators
traytel
parents: 53553
diff changeset
  1114
52968
2b430bbb5a1a define case constant from other 'free constructor' axioms
blanchet
parents: 52964
diff changeset
  1115
        val ((raw_ctrs, raw_ctr_defs), (lthy', lthy)) = no_defs_lthy
49169
937a0fadddfb honor mixfix specifications
blanchet
parents: 49167
diff changeset
  1116
          |> apfst split_list o fold_map3 (fn b => fn mx => fn rhs =>
53569
b4db0ade27bd conceal definitions of high-level constructors and (co)iterators
traytel
parents: 53553
diff changeset
  1117
              Local_Theory.define ((b, mx), ((maybe_conceal_def_binding b, []), rhs)) #>> apsnd snd)
52968
2b430bbb5a1a define case constant from other 'free constructor' axioms
blanchet
parents: 52964
diff changeset
  1118
            ctr_bindings ctr_mixfixes ctr_rhss
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1119
          ||> `Local_Theory.restore;
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1120
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1121
        val phi = Proof_Context.export_morphism lthy lthy';
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1122
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1123
        val ctr_defs = map (Morphism.thm phi) raw_ctr_defs;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1124
        val ctr_defs' =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1125
          map2 (fn m => fn def => mk_unabs_def m (def RS meta_eq_to_obj_eq)) ms ctr_defs;
49130
3c26e17b2849 implemented "mk_case_tac" -- and got rid of "cheat_tac"
blanchet
parents: 49129
diff changeset
  1126
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1127
        val ctrs0 = map (Morphism.term phi) raw_ctrs;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1128
        val ctrs = map (mk_ctr As) ctrs0;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1129
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
  1130
        fun wrap_ctrs lthy =
49123
263b0e330d8b more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents: 49121
diff changeset
  1131
          let
50170
8155e280f239 made SML/NJ happier
traytel
parents: 49693
diff changeset
  1132
            fun exhaust_tac {context = ctxt, prems = _} =
49135
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
  1133
              let
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1134
                val ctor_iff_dtor_thm =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1135
                  let
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1136
                    val goal =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1137
                      fold_rev Logic.all [w, u]
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1138
                        (mk_Trueprop_eq (HOLogic.mk_eq (u, ctor $ w), HOLogic.mk_eq (dtor $ u, w)));
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1139
                  in
51551
88d1d19fb74f tuned signature and module arrangement;
wenzelm
parents: 51380
diff changeset
  1140
                    Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1141
                      mk_ctor_iff_dtor_tac ctxt (map (SOME o certifyT lthy) [ctr_absT, fpT])
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1142
                        (certify lthy ctor) (certify lthy dtor) ctor_dtor dtor_ctor)
55409
b74248961819 made 'ctr_sugar' more friendly to the 'datatype_realizer'
blanchet
parents: 55397
diff changeset
  1143
                    |> Morphism.thm phi
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1144
                    |> Thm.close_derivation
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1145
                  end;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1146
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1147
                val sumEN_thm' =
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1148
                  unfold_thms lthy @{thms unit_all_eq1} (mk_absumprodE type_definition ms)
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1149
                  |> Morphism.thm phi;
49135
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
  1150
              in
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1151
                mk_exhaust_tac ctxt n ctr_defs ctor_iff_dtor_thm sumEN_thm'
49135
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
  1152
              end;
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
  1153
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1154
            val inject_tacss =
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1155
              map2 (fn ctr_def => fn 0 => [] | _ => [fn {context = ctxt, ...} =>
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1156
                mk_inject_tac ctxt ctr_def ctor_inject abs_inject]) ctr_defs ms;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1157
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1158
            val half_distinct_tacss =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1159
              map (map (fn (def, def') => fn {context = ctxt, ...} =>
55803
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1160
                  mk_half_distinct_tac ctxt ctor_inject abs_inject [def, def']))
74d3fe9031d8 joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents: 55772
diff changeset
  1161
                (mk_half_pairss (`I ctr_defs));
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1162
52968
2b430bbb5a1a define case constant from other 'free constructor' axioms
blanchet
parents: 52964
diff changeset
  1163
            val tacss = [exhaust_tac] :: inject_tacss @ half_distinct_tacss;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1164
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1165
            val sel_defaultss = map (map (apsnd (prepare_term lthy))) raw_sel_defaultss
55469
b19dd108f0c2 aligned the syntax for 'free_constructors' on the 'datatype_new' and 'codatatype' syntax
blanchet
parents: 55468