--- a/Quot/Examples/SigmaEx.thy	Thu Jan 21 12:03:47 2010 +0100
+++ b/Quot/Examples/SigmaEx.thy	Thu Jan 21 12:50:43 2010 +0100
@@ -188,5 +188,48 @@
 apply (lifting tolift')
 done
 
+lemma tolift'':
+"\<forall> fvar.
+ \<forall> fobj\<in>Respects (op = ===> list_rel (prod_rel (op =) alpha_method) ===> op =).
+ \<forall> fnvk\<in>Respects (op = ===> alpha_obj ===> op =).
+ \<forall> fupd\<in>Respects (op = ===> op = ===> alpha_obj ===> op = ===> alpha_method ===> op =).
+ \<forall> fcns\<in>Respects (op = ===> op = ===> prod_rel (op =) alpha_method ===> list_rel (prod_rel (op =) alpha_method) ===> op =).
+ \<forall> fnil.
+ \<forall> fpar\<in>Respects (op = ===> op = ===> alpha_method ===> op =).
+ \<forall> fsgm\<in>Respects (op = ===> (op = ===> alpha_obj) ===> op =).
+
+ Bexeq (alpha_obj ===> op =) (\<lambda>hom_o\<Colon>robj \<Rightarrow> 'a .
+ Bexeq (list_rel (prod_rel (op =) alpha_method) ===> op =) (\<lambda>hom_d\<Colon>(char list \<times> rmethod) list \<Rightarrow> 'b.
+ Bexeq ((prod_rel (op =) alpha_method) ===> op =) (\<lambda>hom_e\<Colon>char list \<times> rmethod \<Rightarrow> 'c.
+ Bexeq (alpha_method ===> op =) (\<lambda>hom_m\<Colon>rmethod \<Rightarrow> 'd.
+(
+ (\<forall>x. hom_o (rVar x) = fvar x) \<and>
+ (\<forall>d. hom_o (rObj d) = fobj (hom_d d) d) \<and>
+ (\<forall>a l. hom_o (rInv a l) = fnvk (hom_o a) a l) \<and>
+ (\<forall>a l m. hom_o (rUpd a l m) = fupd (hom_o a) (hom_m m) a l m) \<and>
+ (\<forall>e d. hom_d (e # d) = fcns (hom_e e) (hom_d d) e d) \<and>
+ (hom_d [] = fnil) \<and>
+ (\<forall>l m. hom_e (l, m) = fpar (hom_m m) l m) \<and>
+ (\<forall>x a. hom_m (rSig x a) = fsgm (\<lambda>y. hom_o ([(x, y)] \<bullet> a)) (\<lambda>y. [(x, y)] \<bullet> a))
+)
+))))"
+sorry
+
+lemma liftd'': "
+\<exists>!hom_o. \<exists>!hom_d. \<exists>!hom_e. \<exists>!hom_m.
+(
+ (\<forall>x. hom_o (Var x) = fvar x) \<and>
+ (\<forall>d. hom_o (Obj d) = fobj (hom_d d) d) \<and>
+ (\<forall>a l. hom_o (Inv a l) = fnvk (hom_o a) a l) \<and>
+ (\<forall>a l m. hom_o (Upd a l m) = fupd (hom_o a) (hom_m m) a l m) \<and>
+ (\<forall>e d. hom_d (e # d) = fcns (hom_e e) (hom_d d) e d) \<and>
+ (hom_d [] = fnil) \<and>
+ (\<forall>l m. hom_e (l, m) = fpar (hom_m m) l m) \<and>
+ (\<forall>x a. hom_m (Sig x a) = fsgm (\<lambda>y. hom_o ([(x, y)] \<bullet> a)) (\<lambda>y. [(x, y)] \<bullet> a))
+)"
+apply (lifting tolift'')
+done
+
+
 end