author | Christian Urban <urbanc@in.tum.de> |
Sun, 15 Aug 2010 14:00:28 +0800 | |
changeset 2400 | c6d30d5f5ba1 |
parent 2398 | 1e6160690546 |
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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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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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