Nominal/nominal_dt_quot.ML
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defined qperms and qsizes
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(*  Title:      nominal_dt_alpha.ML
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    Author:     Christian Urban
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    Author:     Cezary Kaliszyk
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  Performing quotient constructions
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*)
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signature NOMINAL_DT_QUOT =
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sig
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  val define_qtypes: (string list * binding * mixfix) list -> typ list -> term list -> 
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    thm list -> local_theory -> Quotient_Info.quotdata_info list * local_theory
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  val define_qconsts: typ list -> (string  * term * mixfix) list -> local_theory -> 
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    Quotient_Info.qconsts_info list * local_theory
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  val define_qperms: typ list -> string list -> (string * term * mixfix) list -> 
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    thm list -> theory -> theory
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  val define_qsizes: typ list -> string list -> (string * term * mixfix) list -> 
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    theory -> theory
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end
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structure Nominal_Dt_Quot: NOMINAL_DT_QUOT =
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struct
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(* defines the quotient types *)
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fun define_qtypes qtys_descr alpha_tys alpha_trms alpha_equivp_thms lthy =
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let
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  val qty_args1 = map2 (fn ty => fn trm => (ty, trm, false)) alpha_tys alpha_trms
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  val qty_args2 = (qtys_descr ~~ qty_args1) ~~ alpha_equivp_thms
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in
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  fold_map Quotient_Type.add_quotient_type qty_args2 lthy
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end 
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(* defines quotient constants *)
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fun define_qconsts qtys consts_specs lthy =
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let
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  val (qconst_infos, lthy') = 
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    fold_map (Quotient_Def.lift_raw_const qtys) consts_specs lthy
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  val phi = ProofContext.export_morphism lthy' lthy
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in
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  (map (Quotient_Info.transform_qconsts phi) qconst_infos, lthy')
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end
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(* defines the quotient permutations and proves pt-class *)
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fun define_qperms qtys qfull_ty_names perm_specs raw_perm_laws thy =
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let
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  val lthy = Class.instantiation (qfull_ty_names, [], @{sort pt}) thy
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  val (_, lthy') = define_qconsts qtys perm_specs lthy
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  val lifted_perm_laws = map (Quotient_Tacs.lifted qtys lthy') raw_perm_laws
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  fun tac _ =
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    Class.intro_classes_tac [] THEN
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      (ALLGOALS (resolve_tac lifted_perm_laws))
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in
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  lthy'
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  |> Class.prove_instantiation_exit tac 
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end
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(* defines the size functions and proves size-class *)
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fun define_qsizes qtys qfull_ty_names size_specs thy =
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let
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  val lthy = Class.instantiation (qfull_ty_names, [], @{sort size}) thy
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  val (_, lthy') = define_qconsts qtys size_specs lthy
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  fun tac _ = Class.intro_classes_tac []
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in
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  lthy'
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  |> Class.prove_instantiation_exit tac
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end
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end (* structure *)
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