src/HOL/Tools/Lifting/lifting_def.ML
author kuncar
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lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
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(*  Title:      HOL/Tools/Lifting/lifting_def.ML
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    Author:     Ondrej Kuncar
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Definitions for constants on quotient types.
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*)
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signature LIFTING_DEF =
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sig
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  val generate_parametric_transfer_rule:
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    Proof.context -> thm -> thm -> thm
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  val add_lift_def:
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    (binding * mixfix) -> typ -> term -> thm -> thm option -> local_theory -> local_theory
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  val lift_def_cmd:
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    (binding * string option * mixfix) * string * (Facts.ref * Args.src list) option -> local_theory -> Proof.state
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  val can_generate_code_cert: thm -> bool
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end;
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structure Lifting_Def: LIFTING_DEF =
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struct
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open Lifting_Util
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infix 0 MRSL
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(* Generation of a transfer rule *)
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fun generate_parametric_transfer_rule ctxt transfer_rule parametric_transfer_rule =
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  let
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    fun preprocess ctxt thm =
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      let
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        val tm = (strip_args 2 o HOLogic.dest_Trueprop o concl_of) thm;
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        val param_rel = (snd o dest_comb o fst o dest_comb) tm;
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        val thy = Proof_Context.theory_of ctxt;
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        val free_vars = Term.add_vars param_rel [];
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        fun make_subst (var as (_, typ)) subst = 
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          let
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            val [rty, rty'] = binder_types typ
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          in
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            if (Term.is_TVar rty andalso is_Type rty') then
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              (Var var, HOLogic.eq_const rty')::subst
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            else
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              subst
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          end;
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        val subst = fold make_subst free_vars [];
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        val csubst = map (pairself (cterm_of thy)) subst;
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        val inst_thm = Drule.cterm_instantiate csubst thm;
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      in
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        Conv.fconv_rule 
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          ((Conv.concl_conv (nprems_of inst_thm) o HOLogic.Trueprop_conv o Conv.fun2_conv o Conv.arg1_conv)
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            (Raw_Simplifier.rewrite false (Transfer.get_sym_relator_eq ctxt))) inst_thm
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      end
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    fun inst_relcomppI thy ant1 ant2 =
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      let
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        val t1 = (HOLogic.dest_Trueprop o concl_of) ant1
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        val t2 = (HOLogic.dest_Trueprop o prop_of) ant2
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        val fun1 = cterm_of thy (strip_args 2 t1)
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        val args1 = map (cterm_of thy) (get_args 2 t1)
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        val fun2 = cterm_of thy (strip_args 2 t2)
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        val args2 = map (cterm_of thy) (get_args 1 t2)
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        val relcomppI = Drule.incr_indexes2 ant1 ant2 @{thm relcomppI}
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        val vars = (rev (Term.add_vars (prop_of relcomppI) []))
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        val subst = map (apfst ((cterm_of thy) o Var)) (vars ~~ ([fun1] @ args1 @ [fun2] @ args2))
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      in
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        Drule.cterm_instantiate subst relcomppI
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      end
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    fun zip_transfer_rules ctxt thm = 
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      let
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        val thy = Proof_Context.theory_of ctxt
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        fun mk_POS ty = Const (@{const_name POS}, ty --> ty --> HOLogic.boolT)
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        val rel = (Thm.dest_fun2 o Thm.dest_arg o cprop_of) thm
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        val typ = (typ_of o ctyp_of_term) rel
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        val POS_const = cterm_of thy (mk_POS typ)
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        val var = cterm_of thy (Var (("X", #maxidx (rep_cterm (rel)) + 1), typ))
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        val goal = Thm.apply (cterm_of thy HOLogic.Trueprop) (Thm.apply (Thm.apply POS_const rel) var)
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      in
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        [Lifting_Term.merge_transfer_relations ctxt goal, thm] MRSL @{thm POS_apply}
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      end
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    val thm = (inst_relcomppI (Proof_Context.theory_of ctxt) parametric_transfer_rule transfer_rule) 
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                OF [parametric_transfer_rule, transfer_rule]
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    val preprocessed_thm = preprocess ctxt thm
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    val orig_ctxt = ctxt
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    val (fixed_thm, ctxt) = yield_singleton (apfst snd oo Variable.import true) preprocessed_thm ctxt
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    val assms = cprems_of fixed_thm
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    val add_transfer_rule = Thm.attribute_declaration Transfer.transfer_add
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    val ctxt = Context.proof_map(fold (add_transfer_rule o Thm.assume) assms) ctxt
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    val zipped_thm =
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      fixed_thm
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      |> undisch_all
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      |> zip_transfer_rules ctxt
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      |> implies_intr_list assms
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      |> singleton (Variable.export ctxt orig_ctxt)
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  in
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    zipped_thm
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  end
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fun print_generate_transfer_info msg = 
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  let
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    val error_msg = cat_lines 
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      ["Generation of a parametric transfer rule failed.",
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      (Pretty.string_of (Pretty.block
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         [Pretty.str "Reason:", Pretty.brk 2, msg]))]
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  in
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    error error_msg
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  end
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fun generate_transfer_rule lthy quot_thm rsp_thm def_thm opt_par_thm =
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  let
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    val transfer_rule =
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      ([quot_thm, rsp_thm, def_thm] MRSL @{thm Quotient_to_transfer})
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      |> Morphism.thm (Local_Theory.target_morphism lthy)
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      |> Lifting_Term.parametrize_transfer_rule lthy
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  in
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    (option_fold transfer_rule (generate_parametric_transfer_rule lthy transfer_rule) opt_par_thm
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    handle Lifting_Term.MERGE_TRANSFER_REL msg => (print_generate_transfer_info msg; transfer_rule))
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  end
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(* Generation of the code certificate from the rsp theorem *)
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fun get_body_types (Type ("fun", [_, U]), Type ("fun", [_, V])) = get_body_types (U, V)
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  | get_body_types (U, V)  = (U, V)
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fun get_binder_types (Type ("fun", [T, U]), Type ("fun", [V, W])) = (T, V) :: get_binder_types (U, W)
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  | get_binder_types _ = []
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fun get_binder_types_by_rel (Const (@{const_name "fun_rel"}, _) $ _ $ S) (Type ("fun", [T, U]), Type ("fun", [V, W])) = 
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    (T, V) :: get_binder_types_by_rel S (U, W)
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  | get_binder_types_by_rel _ _ = []
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fun get_body_type_by_rel (Const (@{const_name "fun_rel"}, _) $ _ $ S) (Type ("fun", [_, U]), Type ("fun", [_, V])) = 
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    get_body_type_by_rel S (U, V)
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  | get_body_type_by_rel _ (U, V)  = (U, V)
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fun force_rty_type ctxt rty rhs = 
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  let
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    val thy = Proof_Context.theory_of ctxt
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    val rhs_schematic = singleton (Variable.polymorphic ctxt) rhs
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    val rty_schematic = fastype_of rhs_schematic
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    val match = Sign.typ_match thy (rty_schematic, rty) Vartab.empty
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  in
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    Envir.subst_term_types match rhs_schematic
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  end
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fun unabs_def ctxt def = 
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  let
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    val (_, rhs) = Thm.dest_equals (cprop_of def)
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    fun dest_abs (Abs (var_name, T, _)) = (var_name, T)
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      | dest_abs tm = raise TERM("get_abs_var",[tm])
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    val (var_name, T) = dest_abs (term_of rhs)
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    val (new_var_names, ctxt') = Variable.variant_fixes [var_name] ctxt
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    val thy = Proof_Context.theory_of ctxt'
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    val refl_thm = Thm.reflexive (cterm_of thy (Free (hd new_var_names, T)))
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  in
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    Thm.combination def refl_thm |>
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    singleton (Proof_Context.export ctxt' ctxt)
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  end
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fun unabs_all_def ctxt def = 
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  let
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    val (_, rhs) = Thm.dest_equals (cprop_of def)
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    val xs = strip_abs_vars (term_of rhs)
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  in  
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    fold (K (unabs_def ctxt)) xs def
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  end
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val map_fun_unfolded = 
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  @{thm map_fun_def[abs_def]} |>
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  unabs_def @{context} |>
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  unabs_def @{context} |>
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  Local_Defs.unfold @{context} [@{thm comp_def}]
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fun unfold_fun_maps ctm =
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  let
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    fun unfold_conv ctm =
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      case (Thm.term_of ctm) of
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        Const (@{const_name "map_fun"}, _) $ _ $ _ => 
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          (Conv.arg_conv unfold_conv then_conv Conv.rewr_conv map_fun_unfolded) ctm
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        | _ => Conv.all_conv ctm
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  in
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    (Conv.fun_conv unfold_conv) ctm
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  end
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fun unfold_fun_maps_beta ctm =
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  let val try_beta_conv = Conv.try_conv (Thm.beta_conversion false)
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  in 
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    (unfold_fun_maps then_conv try_beta_conv) ctm 
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  end
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fun prove_rel ctxt rsp_thm (rty, qty) =
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  let
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    val ty_args = get_binder_types (rty, qty)
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    fun disch_arg args_ty thm = 
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      let
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        val quot_thm = Lifting_Term.prove_quot_thm ctxt args_ty
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      in
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        [quot_thm, thm] MRSL @{thm apply_rsp''}
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      end
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  in
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    fold disch_arg ty_args rsp_thm
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  end
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exception CODE_CERT_GEN of string
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fun simplify_code_eq ctxt def_thm = 
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  Local_Defs.unfold ctxt [@{thm o_apply}, @{thm map_fun_def}, @{thm id_apply}] def_thm
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(*
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  quot_thm - quotient theorem (Quotient R Abs Rep T).
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  returns: whether the Lifting package is capable to generate code for the abstract type
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    represented by quot_thm
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*)
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fun can_generate_code_cert quot_thm  =
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  case quot_thm_rel quot_thm of
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    Const (@{const_name HOL.eq}, _) => true
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    | Const (@{const_name invariant}, _) $ _  => true
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    | _ => false
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fun generate_code_cert ctxt def_thm rsp_thm (rty, qty) =
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  let
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    val thy = Proof_Context.theory_of ctxt
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    val quot_thm = Lifting_Term.prove_quot_thm ctxt (get_body_types (rty, qty))
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    val fun_rel = prove_rel ctxt rsp_thm (rty, qty)
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    val abs_rep_thm = [quot_thm, fun_rel] MRSL @{thm Quotient_rep_abs}
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    val abs_rep_eq = 
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      case (HOLogic.dest_Trueprop o prop_of) fun_rel of
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        Const (@{const_name HOL.eq}, _) $ _ $ _ => abs_rep_thm
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        | Const (@{const_name invariant}, _) $ _ $ _ $ _ => abs_rep_thm RS @{thm invariant_to_eq}
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        | _ => raise CODE_CERT_GEN "relation is neither equality nor invariant"
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    val unfolded_def = Conv.fconv_rule (Conv.arg_conv unfold_fun_maps_beta) def_thm
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    val unabs_def = unabs_all_def ctxt unfolded_def
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    val rep = (cterm_of thy o quot_thm_rep) quot_thm
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    val rep_refl = Thm.reflexive rep RS @{thm meta_eq_to_obj_eq}
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    val repped_eq = [rep_refl, unabs_def RS @{thm meta_eq_to_obj_eq}] MRSL @{thm cong}
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    val code_cert = [repped_eq, abs_rep_eq] MRSL @{thm trans}
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  in
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    simplify_code_eq ctxt code_cert
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  end
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fun generate_trivial_rep_eq ctxt def_thm =
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  let
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    val unfolded_def = Conv.fconv_rule (Conv.arg_conv unfold_fun_maps_beta) def_thm
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    val code_eq = unabs_all_def ctxt unfolded_def
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    val simp_code_eq = simplify_code_eq ctxt code_eq
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  in
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    simp_code_eq
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  end
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fun generate_rep_eq ctxt def_thm rsp_thm (rty, qty) =
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  if body_type rty = body_type qty then 
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    SOME (generate_trivial_rep_eq ctxt def_thm)
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  else 
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    let
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      val (rty_body, qty_body) = get_body_types (rty, qty)
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      val quot_thm = Lifting_Term.prove_quot_thm ctxt (rty_body, qty_body)
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    in
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      if can_generate_code_cert quot_thm then
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        SOME (generate_code_cert ctxt def_thm rsp_thm (rty, qty))
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      else 
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        NONE
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    end
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fun generate_abs_eq ctxt def_thm rsp_thm quot_thm =
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  let
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    fun refl_tac ctxt =
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      let
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        fun intro_reflp_tac (t, i) = 
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        let
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          val concl_pat = Drule.strip_imp_concl (cprop_of @{thm reflpD})
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          val insts = Thm.first_order_match (concl_pat, t)
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        in
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kuncar
parents: 47852
diff changeset
   279
          rtac (Drule.instantiate_normalize insts @{thm reflpD}) i
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kuncar
parents: 47852
diff changeset
   280
        end
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   281
        handle Pattern.MATCH => no_tac
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   282
        
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   283
        val fun_rel_meta_eq = mk_meta_eq @{thm fun_rel_eq}
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   284
        val conv = Conv.bottom_conv (K (Conv.try_conv (Conv.rewr_conv fun_rel_meta_eq))) ctxt
47982
7aa35601ff65 prove reflexivity also for the quotient composition relation; reflp_preserve renamed to reflexivity_rule
kuncar
parents: 47951
diff changeset
   285
        val rules = Lifting_Info.get_reflexivity_rules ctxt
47937
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   286
      in
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   287
        EVERY' [CSUBGOAL intro_reflp_tac, 
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   288
                CONVERSION conv,
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   289
                REPEAT_ALL_NEW (resolve_tac rules)]
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   290
      end
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   291
    
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   292
    fun try_prove_prem ctxt prop =
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   293
      SOME (Goal.prove ctxt [] [] prop (fn {context, ...} => refl_tac context 1))
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   294
        handle ERROR _ => NONE
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   295
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   296
    val abs_eq_with_assms =
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   297
      let
47951
8c8a03765de7 quot_del attribute, it allows us to deregister quotient types
kuncar
parents: 47937
diff changeset
   298
        val (rty, qty) = quot_thm_rty_qty quot_thm
8c8a03765de7 quot_del attribute, it allows us to deregister quotient types
kuncar
parents: 47937
diff changeset
   299
        val rel = quot_thm_rel quot_thm
47937
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   300
        val ty_args = get_binder_types_by_rel rel (rty, qty)
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   301
        val body_type = get_body_type_by_rel rel (rty, qty)
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   302
        val quot_ret_thm = Lifting_Term.prove_quot_thm ctxt body_type
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   303
        
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   304
        val rep_abs_folded_unmapped_thm = 
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   305
          let
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   306
            val rep_id = [quot_thm, def_thm] MRSL @{thm Quotient_Rep_eq}
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   307
            val ctm = Thm.dest_equals_lhs (cprop_of rep_id)
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   308
            val unfolded_maps_eq = unfold_fun_maps ctm
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   309
            val t1 = [quot_thm, def_thm, rsp_thm] MRSL @{thm Quotient_rep_abs_fold_unmap}
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   310
            val prems_pat = (hd o Drule.cprems_of) t1
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   311
            val insts = Thm.first_order_match (prems_pat, cprop_of unfolded_maps_eq)
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   312
          in
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   313
            unfolded_maps_eq RS (Drule.instantiate_normalize insts t1)
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   314
          end
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   315
      in
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   316
        rep_abs_folded_unmapped_thm
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   317
        |> fold (fn _ => fn thm => thm RS @{thm fun_relD2}) ty_args
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   318
        |> (fn x => x RS (@{thm Quotient_rel_abs2} OF [quot_ret_thm]))
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   319
      end
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   320
    
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   321
    val prems = prems_of abs_eq_with_assms
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   322
    val indexed_prems = map_index (apfst (fn x => x + 1)) prems
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   323
    val indexed_assms = map (apsnd (try_prove_prem ctxt)) indexed_prems
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   324
    val proved_assms = map (apsnd the) (filter (is_some o snd) indexed_assms)
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   325
    val abs_eq = fold_rev (fn (i, assms) => fn thm => assms RSN (i, thm)) proved_assms abs_eq_with_assms
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   326
  in
47937
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   327
    simplify_code_eq ctxt abs_eq
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   328
  end
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   329
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   330
fun define_code_using_abs_eq abs_eq_thm lthy =
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   331
  if null (Logic.strip_imp_prems(prop_of abs_eq_thm)) then
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   332
    (snd oo Local_Theory.note) ((Binding.empty, [Code.add_default_eqn_attrib]), [abs_eq_thm]) lthy
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   333
  else
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   334
    lthy
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   335
  
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 51314
diff changeset
   336
fun define_code_using_rep_eq opt_rep_eq_thm lthy = 
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 51314
diff changeset
   337
  case opt_rep_eq_thm of
47937
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   338
    SOME rep_eq_thm =>   
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   339
      let
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   340
        val add_abs_eqn_attribute = 
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   341
          Thm.declaration_attribute (fn thm => Context.mapping (Code.add_abs_eqn thm) I)
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   342
        val add_abs_eqn_attrib = Attrib.internal (K add_abs_eqn_attribute);
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   343
      in
47937
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   344
        (snd oo Local_Theory.note) ((Binding.empty, [add_abs_eqn_attrib]), [rep_eq_thm]) lthy
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   345
      end
47937
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   346
    | NONE => lthy
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   347
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   348
fun has_constr ctxt quot_thm =
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   349
  let
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   350
    val thy = Proof_Context.theory_of ctxt
47951
8c8a03765de7 quot_del attribute, it allows us to deregister quotient types
kuncar
parents: 47937
diff changeset
   351
    val abs_fun = quot_thm_abs quot_thm
47937
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   352
  in
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   353
    if is_Const abs_fun then
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   354
      Code.is_constr thy ((fst o dest_Const) abs_fun)
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   355
    else
47937
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   356
      false
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   357
  end
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   358
47937
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   359
fun has_abstr ctxt quot_thm =
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   360
  let
47937
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   361
    val thy = Proof_Context.theory_of ctxt
47951
8c8a03765de7 quot_del attribute, it allows us to deregister quotient types
kuncar
parents: 47937
diff changeset
   362
    val abs_fun = quot_thm_abs quot_thm
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   363
  in
47937
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   364
    if is_Const abs_fun then
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   365
      Code.is_abstr thy ((fst o dest_Const) abs_fun)
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   366
    else
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   367
      false
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   368
  end
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   369
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 51314
diff changeset
   370
fun define_code abs_eq_thm opt_rep_eq_thm (rty, qty) lthy =
47937
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   371
  let
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   372
    val (rty_body, qty_body) = get_body_types (rty, qty)
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   373
  in
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   374
    if rty_body = qty_body then
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   375
      if null (Logic.strip_imp_prems(prop_of abs_eq_thm)) then
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   376
        (snd oo Local_Theory.note) ((Binding.empty, [Code.add_default_eqn_attrib]), [abs_eq_thm]) lthy
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   377
      else
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 51314
diff changeset
   378
        (snd oo Local_Theory.note) ((Binding.empty, [Code.add_default_eqn_attrib]), [the opt_rep_eq_thm]) lthy
47937
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   379
    else
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   380
      let 
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   381
        val body_quot_thm = Lifting_Term.prove_quot_thm lthy (rty_body, qty_body)
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   382
      in
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   383
        if has_constr lthy body_quot_thm then
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   384
          define_code_using_abs_eq abs_eq_thm lthy
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   385
        else if has_abstr lthy body_quot_thm then
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 51314
diff changeset
   386
          define_code_using_rep_eq opt_rep_eq_thm lthy
47937
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   387
        else
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   388
          lthy
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   389
      end
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   390
  end
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   391
47852
0c3b8d036a5c documentation of the Lifting package on the ML level & tuned
kuncar
parents: 47699
diff changeset
   392
(*
0c3b8d036a5c documentation of the Lifting package on the ML level & tuned
kuncar
parents: 47699
diff changeset
   393
  Defines an operation on an abstract type in terms of a corresponding operation 
0c3b8d036a5c documentation of the Lifting package on the ML level & tuned
kuncar
parents: 47699
diff changeset
   394
    on a representation type.
0c3b8d036a5c documentation of the Lifting package on the ML level & tuned
kuncar
parents: 47699
diff changeset
   395
0c3b8d036a5c documentation of the Lifting package on the ML level & tuned
kuncar
parents: 47699
diff changeset
   396
  var - a binding and a mixfix of the new constant being defined
0c3b8d036a5c documentation of the Lifting package on the ML level & tuned
kuncar
parents: 47699
diff changeset
   397
  qty - an abstract type of the new constant
0c3b8d036a5c documentation of the Lifting package on the ML level & tuned
kuncar
parents: 47699
diff changeset
   398
  rhs - a term representing the new constant on the raw level
47937
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   399
  rsp_thm - a respectfulness theorem in the internal tagged form (like '(R ===> R ===> R) f f'),
47852
0c3b8d036a5c documentation of the Lifting package on the ML level & tuned
kuncar
parents: 47699
diff changeset
   400
    i.e. "(Lifting_Term.equiv_relation (fastype_of rhs, qty)) $ rhs $ rhs"
0c3b8d036a5c documentation of the Lifting package on the ML level & tuned
kuncar
parents: 47699
diff changeset
   401
*)
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   402
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 51314
diff changeset
   403
fun add_lift_def var qty rhs rsp_thm opt_par_thm lthy =
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   404
  let
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   405
    val rty = fastype_of rhs
47937
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   406
    val quot_thm = Lifting_Term.prove_quot_thm lthy (rty, qty)
47951
8c8a03765de7 quot_del attribute, it allows us to deregister quotient types
kuncar
parents: 47937
diff changeset
   407
    val absrep_trm =  quot_thm_abs quot_thm
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   408
    val rty_forced = (domain_type o fastype_of) absrep_trm
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   409
    val forced_rhs = force_rty_type lthy rty_forced rhs
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   410
    val lhs = Free (Binding.print (#1 var), qty)
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   411
    val prop = Logic.mk_equals (lhs, absrep_trm $ forced_rhs)
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   412
    val (_, prop') = Local_Defs.cert_def lthy prop
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   413
    val (_, newrhs) = Local_Defs.abs_def prop'
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   414
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   415
    val ((_, (_ , def_thm)), lthy') = 
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   416
      Local_Theory.define (var, ((Thm.def_binding (#1 var), []), newrhs)) lthy
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   417
49885
b0d6d2e7a522 don't be so aggressive when expanding a transfer rule relation; rewrite only the relational part of the rule
kuncar
parents: 49626
diff changeset
   418
    fun top_rewr_conv rewrs = Conv.top_conv (K (Conv.try_conv (Conv.rewrs_conv rewrs))) lthy'
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 51314
diff changeset
   419
    val transfer_rule = generate_transfer_rule lthy quot_thm rsp_thm def_thm opt_par_thm
49975
faf4afed009f transfer package: more flexible handling of equality relations using is_equality predicate
huffman
parents: 49885
diff changeset
   420
47937
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   421
    val abs_eq_thm = generate_abs_eq lthy' def_thm rsp_thm quot_thm
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 51314
diff changeset
   422
    val opt_rep_eq_thm = generate_rep_eq lthy' def_thm rsp_thm (rty_forced, qty)
47351
0193e663a19e lift_definition command generates transfer rule
huffman
parents: 47308
diff changeset
   423
47545
a2850a16e30f Lifting: generate more thms & note them & tuned
kuncar
parents: 47504
diff changeset
   424
    fun qualify defname suffix = Binding.qualified true suffix defname
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   425
47545
a2850a16e30f Lifting: generate more thms & note them & tuned
kuncar
parents: 47504
diff changeset
   426
    val lhs_name = (#1 var)
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   427
    val rsp_thm_name = qualify lhs_name "rsp"
47937
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   428
    val abs_eq_thm_name = qualify lhs_name "abs_eq"
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   429
    val rep_eq_thm_name = qualify lhs_name "rep_eq"
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 51314
diff changeset
   430
    val transfer_rule_name = qualify lhs_name "transfer"
47373
3c31e6f1b3bd lift_definition declares transfer_rule attribute
huffman
parents: 47361
diff changeset
   431
    val transfer_attr = Attrib.internal (K Transfer.transfer_add)
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   432
  in
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   433
    lthy'
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   434
      |> (snd oo Local_Theory.note) ((rsp_thm_name, []), [rsp_thm])
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 51314
diff changeset
   435
      |> (snd oo Local_Theory.note) ((transfer_rule_name, [transfer_attr]), [transfer_rule])
47937
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   436
      |> (snd oo Local_Theory.note) ((abs_eq_thm_name, []), [abs_eq_thm])
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 51314
diff changeset
   437
      |> (case opt_rep_eq_thm of 
47937
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   438
            SOME rep_eq_thm => (snd oo Local_Theory.note) ((rep_eq_thm_name, []), [rep_eq_thm])
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   439
            | NONE => I)
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 51314
diff changeset
   440
      |> define_code abs_eq_thm opt_rep_eq_thm (rty_forced, qty)
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   441
  end
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   442
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   443
fun mk_readable_rsp_thm_eq tm lthy =
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   444
  let
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   445
    val ctm = cterm_of (Proof_Context.theory_of lthy) tm
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   446
    
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   447
    fun simp_arrows_conv ctm =
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   448
      let
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   449
        val unfold_conv = Conv.rewrs_conv 
49626
354f35953800 mk_readable_rsp_thm_eq is more robust now
kuncar
parents: 49625
diff changeset
   450
          [@{thm fun_rel_eq_invariant[THEN eq_reflection]}, 
354f35953800 mk_readable_rsp_thm_eq is more robust now
kuncar
parents: 49625
diff changeset
   451
            @{thm fun_rel_eq[THEN eq_reflection]},
354f35953800 mk_readable_rsp_thm_eq is more robust now
kuncar
parents: 49625
diff changeset
   452
            @{thm fun_rel_eq_rel[THEN eq_reflection]}, 
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   453
            @{thm fun_rel_def[THEN eq_reflection]}]
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   454
        fun binop_conv2 cv1 cv2 = Conv.combination_conv (Conv.arg_conv cv1) cv2
47634
091bcd569441 hide the invariant constant for relators: invariant_commute infrastracture
kuncar
parents: 47607
diff changeset
   455
        val invariant_commute_conv = Conv.bottom_conv
091bcd569441 hide the invariant constant for relators: invariant_commute infrastracture
kuncar
parents: 47607
diff changeset
   456
          (K (Conv.try_conv (Conv.rewrs_conv (Lifting_Info.get_invariant_commute_rules lthy)))) lthy
49626
354f35953800 mk_readable_rsp_thm_eq is more robust now
kuncar
parents: 49625
diff changeset
   457
        val relator_eq_conv = Conv.bottom_conv
354f35953800 mk_readable_rsp_thm_eq is more robust now
kuncar
parents: 49625
diff changeset
   458
          (K (Conv.try_conv (Conv.rewrs_conv (Transfer.get_relator_eq lthy)))) lthy
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   459
      in
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   460
        case (Thm.term_of ctm) of
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   461
          Const (@{const_name "fun_rel"}, _) $ _ $ _ => 
49626
354f35953800 mk_readable_rsp_thm_eq is more robust now
kuncar
parents: 49625
diff changeset
   462
            (binop_conv2 simp_arrows_conv simp_arrows_conv then_conv unfold_conv) ctm
354f35953800 mk_readable_rsp_thm_eq is more robust now
kuncar
parents: 49625
diff changeset
   463
          | _ => (invariant_commute_conv then_conv relator_eq_conv) ctm
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   464
      end
47937
70375fa2679d generate abs_eq, use it as a code equation for total quotients; no_abs_code renamed to no_code; added no_code for quotient_type command
kuncar
parents: 47852
diff changeset
   465
    
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   466
    val unfold_ret_val_invs = Conv.bottom_conv 
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   467
      (K (Conv.try_conv (Conv.rewr_conv @{thm invariant_same_args}))) lthy 
51314
eac4bb5adbf9 just one HOLogic.Trueprop_conv, with regular exception CTERM;
wenzelm
parents: 49975
diff changeset
   468
    val simp_conv = HOLogic.Trueprop_conv (Conv.fun2_conv simp_arrows_conv)
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   469
    val univq_conv = Conv.rewr_conv @{thm HOL.all_simps(6)[symmetric, THEN eq_reflection]}
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   470
    val univq_prenex_conv = Conv.top_conv (K (Conv.try_conv univq_conv)) lthy
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   471
    val beta_conv = Thm.beta_conversion true
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   472
    val eq_thm = 
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   473
      (simp_conv then_conv univq_prenex_conv then_conv beta_conv then_conv unfold_ret_val_invs) ctm
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   474
  in
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   475
    Object_Logic.rulify(eq_thm RS Drule.equal_elim_rule2)
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   476
  end
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   477
47607
5c17ef8feac7 use tnames for bound variables in rsp thms
kuncar
parents: 47566
diff changeset
   478
fun rename_to_tnames ctxt term =
5c17ef8feac7 use tnames for bound variables in rsp thms
kuncar
parents: 47566
diff changeset
   479
  let
5c17ef8feac7 use tnames for bound variables in rsp thms
kuncar
parents: 47566
diff changeset
   480
    fun all_typs (Const ("all", _) $ Abs (_, T, t)) = T :: all_typs t
5c17ef8feac7 use tnames for bound variables in rsp thms
kuncar
parents: 47566
diff changeset
   481
      | all_typs _ = []
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   482
47607
5c17ef8feac7 use tnames for bound variables in rsp thms
kuncar
parents: 47566
diff changeset
   483
    fun rename (Const ("all", T1) $ Abs (_, T2, t)) (new_name :: names) = 
5c17ef8feac7 use tnames for bound variables in rsp thms
kuncar
parents: 47566
diff changeset
   484
        (Const ("all", T1) $ Abs (new_name, T2, rename t names)) 
5c17ef8feac7 use tnames for bound variables in rsp thms
kuncar
parents: 47566
diff changeset
   485
      | rename t _ = t
5c17ef8feac7 use tnames for bound variables in rsp thms
kuncar
parents: 47566
diff changeset
   486
5c17ef8feac7 use tnames for bound variables in rsp thms
kuncar
parents: 47566
diff changeset
   487
    val (fixed_def_t, _) = yield_singleton (Variable.importT_terms) term ctxt
5c17ef8feac7 use tnames for bound variables in rsp thms
kuncar
parents: 47566
diff changeset
   488
    val new_names = Datatype_Prop.make_tnames (all_typs fixed_def_t)
5c17ef8feac7 use tnames for bound variables in rsp thms
kuncar
parents: 47566
diff changeset
   489
  in
5c17ef8feac7 use tnames for bound variables in rsp thms
kuncar
parents: 47566
diff changeset
   490
    rename term new_names
5c17ef8feac7 use tnames for bound variables in rsp thms
kuncar
parents: 47566
diff changeset
   491
  end
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   492
47852
0c3b8d036a5c documentation of the Lifting package on the ML level & tuned
kuncar
parents: 47699
diff changeset
   493
(*
0c3b8d036a5c documentation of the Lifting package on the ML level & tuned
kuncar
parents: 47699
diff changeset
   494
0c3b8d036a5c documentation of the Lifting package on the ML level & tuned
kuncar
parents: 47699
diff changeset
   495
  lifting_definition command. It opens a proof of a corresponding respectfulness 
0c3b8d036a5c documentation of the Lifting package on the ML level & tuned
kuncar
parents: 47699
diff changeset
   496
  theorem in a user-friendly, readable form. Then add_lift_def is called internally.
0c3b8d036a5c documentation of the Lifting package on the ML level & tuned
kuncar
parents: 47699
diff changeset
   497
0c3b8d036a5c documentation of the Lifting package on the ML level & tuned
kuncar
parents: 47699
diff changeset
   498
*)
0c3b8d036a5c documentation of the Lifting package on the ML level & tuned
kuncar
parents: 47699
diff changeset
   499
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 51314
diff changeset
   500
fun lift_def_cmd (raw_var, rhs_raw, opt_par_xthm) lthy =
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   501
  let
47504
aa1b8a59017f go back to the explicit compisition of quotient theorems
kuncar
parents: 47503
diff changeset
   502
    val ((binding, SOME qty, mx), lthy') = yield_singleton Proof_Context.read_vars raw_var lthy 
aa1b8a59017f go back to the explicit compisition of quotient theorems
kuncar
parents: 47503
diff changeset
   503
    val rhs = (Syntax.check_term lthy' o Syntax.parse_term lthy') rhs_raw
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   504
 
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   505
    fun try_to_prove_refl thm = 
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   506
      let
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   507
        val lhs_eq =
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   508
          thm
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   509
          |> prop_of
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   510
          |> Logic.dest_implies
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   511
          |> fst
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   512
          |> strip_all_body
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   513
          |> try HOLogic.dest_Trueprop
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   514
      in
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   515
        case lhs_eq of
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   516
          SOME (Const ("HOL.eq", _) $ _ $ _) => SOME (@{thm refl} RS thm)
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   517
          | _ => NONE
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   518
      end
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   519
47504
aa1b8a59017f go back to the explicit compisition of quotient theorems
kuncar
parents: 47503
diff changeset
   520
    val rsp_rel = Lifting_Term.equiv_relation lthy' (fastype_of rhs, qty)
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   521
    val rty_forced = (domain_type o fastype_of) rsp_rel;
47504
aa1b8a59017f go back to the explicit compisition of quotient theorems
kuncar
parents: 47503
diff changeset
   522
    val forced_rhs = force_rty_type lthy' rty_forced rhs;
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   523
    val internal_rsp_tm = HOLogic.mk_Trueprop (rsp_rel $ forced_rhs $ forced_rhs)
47504
aa1b8a59017f go back to the explicit compisition of quotient theorems
kuncar
parents: 47503
diff changeset
   524
    val readable_rsp_thm_eq = mk_readable_rsp_thm_eq internal_rsp_tm lthy'
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 51314
diff changeset
   525
    val opt_proven_rsp_thm = try_to_prove_refl readable_rsp_thm_eq
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   526
    val (readable_rsp_tm, _) = Logic.dest_implies (prop_of readable_rsp_thm_eq)
47607
5c17ef8feac7 use tnames for bound variables in rsp thms
kuncar
parents: 47566
diff changeset
   527
    val readable_rsp_tm_tnames = rename_to_tnames lthy' readable_rsp_tm
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 51314
diff changeset
   528
    val opt_par_thm = Option.map (singleton (Attrib.eval_thms lthy')) opt_par_xthm
47607
5c17ef8feac7 use tnames for bound variables in rsp thms
kuncar
parents: 47566
diff changeset
   529
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   530
    fun after_qed thm_list lthy = 
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   531
      let
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   532
        val internal_rsp_thm =
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   533
          case thm_list of
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 51314
diff changeset
   534
            [] => the opt_proven_rsp_thm
47504
aa1b8a59017f go back to the explicit compisition of quotient theorems
kuncar
parents: 47503
diff changeset
   535
          | [[thm]] => Goal.prove lthy [] [] internal_rsp_tm 
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   536
            (fn _ => rtac readable_rsp_thm_eq 1 THEN Proof_Context.fact_tac [thm] 1)
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   537
      in
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 51314
diff changeset
   538
        add_lift_def (binding, mx) qty rhs internal_rsp_thm opt_par_thm lthy
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   539
      end
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   540
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   541
  in
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 51314
diff changeset
   542
    case opt_proven_rsp_thm of
47504
aa1b8a59017f go back to the explicit compisition of quotient theorems
kuncar
parents: 47503
diff changeset
   543
      SOME _ => Proof.theorem NONE after_qed [] lthy'
47607
5c17ef8feac7 use tnames for bound variables in rsp thms
kuncar
parents: 47566
diff changeset
   544
      | NONE =>  Proof.theorem NONE after_qed [[(readable_rsp_tm_tnames,[])]] lthy'
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   545
  end
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   546
47379
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   547
fun quot_thm_err ctxt (rty, qty) pretty_msg =
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   548
  let
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   549
    val error_msg = cat_lines
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   550
       ["Lifting failed for the following types:",
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   551
        Pretty.string_of (Pretty.block
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   552
         [Pretty.str "Raw type:", Pretty.brk 2, Syntax.pretty_typ ctxt rty]),
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   553
        Pretty.string_of (Pretty.block
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   554
         [Pretty.str "Abstract type:", Pretty.brk 2, Syntax.pretty_typ ctxt qty]),
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   555
        "",
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   556
        (Pretty.string_of (Pretty.block
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   557
         [Pretty.str "Reason:", Pretty.brk 2, pretty_msg]))]
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   558
  in
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   559
    error error_msg
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   560
  end
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   561
47504
aa1b8a59017f go back to the explicit compisition of quotient theorems
kuncar
parents: 47503
diff changeset
   562
fun check_rty_err ctxt (rty_schematic, rty_forced) (raw_var, rhs_raw) =
47379
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   563
  let
47504
aa1b8a59017f go back to the explicit compisition of quotient theorems
kuncar
parents: 47503
diff changeset
   564
    val (_, ctxt') = yield_singleton Proof_Context.read_vars raw_var ctxt 
aa1b8a59017f go back to the explicit compisition of quotient theorems
kuncar
parents: 47503
diff changeset
   565
    val rhs = (Syntax.check_term ctxt' o Syntax.parse_term ctxt') rhs_raw
47379
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   566
    val error_msg = cat_lines
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   567
       ["Lifting failed for the following term:",
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   568
        Pretty.string_of (Pretty.block
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   569
         [Pretty.str "Term:", Pretty.brk 2, Syntax.pretty_term ctxt rhs]),
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   570
        Pretty.string_of (Pretty.block
47504
aa1b8a59017f go back to the explicit compisition of quotient theorems
kuncar
parents: 47503
diff changeset
   571
         [Pretty.str "Type:", Pretty.brk 2, Syntax.pretty_typ ctxt rty_schematic]),
47379
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   572
        "",
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   573
        (Pretty.string_of (Pretty.block
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   574
         [Pretty.str "Reason:", 
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   575
          Pretty.brk 2, 
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   576
          Pretty.str "The type of the term cannot be instancied to",
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   577
          Pretty.brk 1,
47504
aa1b8a59017f go back to the explicit compisition of quotient theorems
kuncar
parents: 47503
diff changeset
   578
          Pretty.quote (Syntax.pretty_typ ctxt rty_forced),
47379
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   579
          Pretty.str "."]))]
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   580
    in
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   581
      error error_msg
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   582
    end
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   583
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 51314
diff changeset
   584
fun lift_def_cmd_with_err_handling (raw_var, rhs_raw, opt_par_xthm) lthy =
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 51314
diff changeset
   585
  (lift_def_cmd (raw_var, rhs_raw, opt_par_xthm) lthy
47379
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   586
    handle Lifting_Term.QUOT_THM (rty, qty, msg) => quot_thm_err lthy (rty, qty) msg)
47504
aa1b8a59017f go back to the explicit compisition of quotient theorems
kuncar
parents: 47503
diff changeset
   587
    handle Lifting_Term.CHECK_RTY (rty_schematic, rty_forced) => 
aa1b8a59017f go back to the explicit compisition of quotient theorems
kuncar
parents: 47503
diff changeset
   588
      check_rty_err lthy (rty_schematic, rty_forced) (raw_var, rhs_raw)
47379
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   589
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   590
(* parser and command *)
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   591
val liftdef_parser =
51374
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 51314
diff changeset
   592
  (((Parse.binding -- (@{keyword "::"} |-- (Parse.typ >> SOME) -- Parse.opt_mixfix')) >> Parse.triple2)
84d01fd733cf lift_definition and setup_lifting generate parametric transfer rules if parametricity theorems are provided
kuncar
parents: 51314
diff changeset
   593
    --| @{keyword "is"} -- Parse.term -- Scan.option (@{keyword "parametric"} |-- Parse.!!! Parse_Spec.xthm)) >> Parse.triple1
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   594
val _ =
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   595
  Outer_Syntax.local_theory_to_proof @{command_spec "lift_definition"}
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   596
    "definition for constants over the quotient type"
47379
075d22b3a32f detect incorrect situations; better error messages; sanity check for quot_thm in setup_lifting_infr
kuncar
parents: 47373
diff changeset
   597
      (liftdef_parser >> lift_def_cmd_with_err_handling)
47308
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   598
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   599
9caab698dbe4 new package Lifting - initial commit
kuncar
parents:
diff changeset
   600
end; (* structure *)