--- a/LamEx.thy	Wed Oct 28 12:22:06 2009 +0100
+++ b/LamEx.thy	Wed Oct 28 14:59:24 2009 +0100
@@ -31,4 +31,70 @@
 lemma real_alpha:
   assumes "t = ([(a,b)]\<bullet>s)" "a\<sharp>s"
   shows "Lam a t = Lam b s"
-sorry
\ No newline at end of file
+sorry
+
+
+
+
+
+(* Construction Site code *)
+
+lemma perm_rsp: "op = ===> alpha ===> alpha op \<bullet> op \<bullet>" sorry
+lemma fresh_rsp: "op = ===> (alpha ===> op =) fresh fresh" sorry
+lemma rLam_rsp: "op = ===> (alpha ===> alpha) rLam rLam" sorry
+
+ML {* val defs = @{thms Var_def App_def Lam_def} *}
+ML {* val consts = [@{const_name "rVar"}, @{const_name "rApp"}, @{const_name "rLam"}]; *}
+
+ML {* val rty = @{typ "rlam"} *}
+ML {* val qty = @{typ "lam"} *}
+ML {* val rel = @{term "alpha"} *}
+ML {* val rel_eqv = (#equiv_thm o hd) (quotdata_lookup @{theory}) *}
+ML {* val rel_refl = @{thm EQUIV_REFL} OF [rel_eqv] *}
+ML {* val quot = @{thm QUOTIENT_lam} *}
+ML {* val rsp_thms = @{thms perm_rsp fresh_rsp rLam_rsp} @ @{thms ho_all_prs ho_ex_prs} *}
+ML {* val trans2 = @{thm QUOT_TYPE_I_lam.R_trans2} *}
+ML {* val reps_same = @{thm QUOT_TYPE_I_lam.REPS_same} *}
+
+thm a3
+ML {* val t_a = atomize_thm @{thm a3} *}
+ML {* val t_r = regularize t_a rty rel rel_eqv @{context} *}
+ML {* val t_t = repabs @{context} t_r consts rty qty quot rel_refl trans2 rsp_thms *}
+ML {* val abs = findabs rty (prop_of t_a) *}
+ML {* val simp_lam_prs_thms = map (make_simp_lam_prs_thm @{context} quot) abs *}
+ML {* val t_l = repeat_eqsubst_thm @{context} simp_lam_prs_thms t_t *}
+ML {* val t_c = simp_allex_prs @{context} quot t_l *}
+ML {* val t_defs_sym = add_lower_defs @{context} defs *}
+ML {* val t_d = repeat_eqsubst_thm @{context} t_defs_sym t_c *}
+ML {* val t_b = MetaSimplifier.rewrite_rule [reps_same] t_d *}
+ML {* ObjectLogic.rulify t_b *}
+
+local_setup {*
+  make_const_def @{binding lfresh} @{term "fresh :: 'a \<Rightarrow> rlam \<Rightarrow> bool"} NoSyn @{typ "rlam"} @{typ "lam"} #> snd #>
+  make_const_def @{binding lperm} @{term "perm :: ('a \<times> 'a) list \<Rightarrow> rlam \<Rightarrow> rlam"} NoSyn @{typ "rlam"} @{typ "lam"} #> snd
+*}
+
+ML {* val consts = @{const_name fresh} :: @{const_name perm} :: consts *}
+ML {* val defs = @{thms lfresh_def lperm_def} @ defs *}
+ML {* val t_t = Toplevel.program (fn () => repabs @{context} t_r consts rty qty quot rel_refl trans2 rsp_thms) *}
+ML {* val t_l = repeat_eqsubst_thm @{context} simp_lam_prs_thms t_t *}
+ML {* val t_c = simp_allex_prs @{context} quot t_l *}
+ML {* val t_defs_sym = add_lower_defs @{context} defs *}
+ML {* val t_d = repeat_eqsubst_thm @{context} t_defs_sym t_c *}
+ML {* val t_b = MetaSimplifier.rewrite_rule [reps_same] t_d *}
+ML {* ObjectLogic.rulify t_b *}
+ML {* val rr =  (add_lower_defs @{context} @{thms lperm_def}) *}
+ML {* val rrr = @{thm eq_reflection} OF [rr] *}
+ML {* MetaSimplifier.rewrite_rule [rrr] t_b *}
+
+
+
+
+
+ML {*
+fun lift_thm_lam lthy t =
+  lift_thm lthy consts rty qty rel rel_eqv rel_refl quot rsp_thms trans2 reps_same defs t
+*}
+
+ML {* Toplevel.program (fn () => lift_thm_lam @{context} @{thm a3}) *}
+

--- a/QuotMain.thy	Wed Oct 28 12:22:06 2009 +0100
+++ b/QuotMain.thy	Wed Oct 28 14:59:24 2009 +0100
@@ -355,7 +355,7 @@
   val thm' = forall_intr_vars thm
   val thm'' = ObjectLogic.atomize (cprop_of thm')
 in
-  Thm.freezeT (Simplifier.rewrite_rule [thm''] thm')
+  Thm.freezeT @{thm Pure.equal_elim_rule1} OF [thm'', thm']
 end
 *}
 

--- a/QuotScript.thy	Wed Oct 28 12:22:06 2009 +0100
+++ b/QuotScript.thy	Wed Oct 28 14:59:24 2009 +0100
@@ -19,6 +19,10 @@
 unfolding EQUIV_def REFL_def SYM_def TRANS_def expand_fun_eq
 by (blast)
 
+lemma EQUIV_REFL:
+  shows "EQUIV E ==> REFL E"
+  by (simp add: EQUIV_REFL_SYM_TRANS)
+
 definition
   "PART_EQUIV E \<equiv> (\<exists>x. E x x) \<and> (\<forall>x y. E x y = (E x x \<and> E y y \<and> (E x = E y)))"