35 

    36 

    37 

    38 

    39 

    40 (* Construction Site code *)

    41 

    42 lemma perm_rsp: "op = ===> alpha ===> alpha op \<bullet> op \<bullet>" sorry

    43 lemma fresh_rsp: "op = ===> (alpha ===> op =) fresh fresh" sorry

    44 lemma rLam_rsp: "op = ===> (alpha ===> alpha) rLam rLam" sorry

    45 

    46 ML {* val defs = @{thms Var_def App_def Lam_def} *}

    47 ML {* val consts = [@{const_name "rVar"}, @{const_name "rApp"}, @{const_name "rLam"}]; *}

    48 

    49 ML {* val rty = @{typ "rlam"} *}

    50 ML {* val qty = @{typ "lam"} *}

    51 ML {* val rel = @{term "alpha"} *}

    52 ML {* val rel_eqv = (#equiv_thm o hd) (quotdata_lookup @{theory}) *}

    53 ML {* val rel_refl = @{thm EQUIV_REFL} OF [rel_eqv] *}

    54 ML {* val quot = @{thm QUOTIENT_lam} *}

    55 ML {* val rsp_thms = @{thms perm_rsp fresh_rsp rLam_rsp} @ @{thms ho_all_prs ho_ex_prs} *}

    56 ML {* val trans2 = @{thm QUOT_TYPE_I_lam.R_trans2} *}

    57 ML {* val reps_same = @{thm QUOT_TYPE_I_lam.REPS_same} *}

    58 

    59 thm a3

    60 ML {* val t_a = atomize_thm @{thm a3} *}

    61 ML {* val t_r = regularize t_a rty rel rel_eqv @{context} *}

    62 ML {* val t_t = repabs @{context} t_r consts rty qty quot rel_refl trans2 rsp_thms *}

    63 ML {* val abs = findabs rty (prop_of t_a) *}

    64 ML {* val simp_lam_prs_thms = map (make_simp_lam_prs_thm @{context} quot) abs *}

    65 ML {* val t_l = repeat_eqsubst_thm @{context} simp_lam_prs_thms t_t *}

    66 ML {* val t_c = simp_allex_prs @{context} quot t_l *}

    67 ML {* val t_defs_sym = add_lower_defs @{context} defs *}

    68 ML {* val t_d = repeat_eqsubst_thm @{context} t_defs_sym t_c *}

    69 ML {* val t_b = MetaSimplifier.rewrite_rule [reps_same] t_d *}

    70 ML {* ObjectLogic.rulify t_b *}

    71 

    72 local_setup {*

    73   make_const_def @{binding lfresh} @{term "fresh :: 'a \<Rightarrow> rlam \<Rightarrow> bool"} NoSyn @{typ "rlam"} @{typ "lam"} #> snd #>

    74   make_const_def @{binding lperm} @{term "perm :: ('a \<times> 'a) list \<Rightarrow> rlam \<Rightarrow> rlam"} NoSyn @{typ "rlam"} @{typ "lam"} #> snd

    75 *}

    76 

    77 ML {* val consts = @{const_name fresh} :: @{const_name perm} :: consts *}

    78 ML {* val defs = @{thms lfresh_def lperm_def} @ defs *}

    79 ML {* val t_t = Toplevel.program (fn () => repabs @{context} t_r consts rty qty quot rel_refl trans2 rsp_thms) *}

    80 ML {* val t_l = repeat_eqsubst_thm @{context} simp_lam_prs_thms t_t *}

    81 ML {* val t_c = simp_allex_prs @{context} quot t_l *}

    82 ML {* val t_defs_sym = add_lower_defs @{context} defs *}

    83 ML {* val t_d = repeat_eqsubst_thm @{context} t_defs_sym t_c *}

    84 ML {* val t_b = MetaSimplifier.rewrite_rule [reps_same] t_d *}

    85 ML {* ObjectLogic.rulify t_b *}

    86 ML {* val rr =  (add_lower_defs @{context} @{thms lperm_def}) *}

    87 ML {* val rrr = @{thm eq_reflection} OF [rr] *}

    88 ML {* MetaSimplifier.rewrite_rule [rrr] t_b *}

    89 

    90 

    91 

    92 

    93 

    94 ML {*

    95 fun lift_thm_lam lthy t =

    96   lift_thm lthy consts rty qty rel rel_eqv rel_refl quot rsp_thms trans2 reps_same defs t

    97 *}

    98 

    99 ML {* Toplevel.program (fn () => lift_thm_lam @{context} @{thm a3}) *}

   100