--- a/Nominal/Manual/Term5n.thy	Tue Mar 23 09:06:28 2010 +0100
+++ b/Nominal/Manual/Term5n.thy	Tue Mar 23 09:13:17 2010 +0100
@@ -174,55 +174,4 @@
 lemmas fv_lts[simp] = fv_rlts.simps[quot_lifted]
 lemmas alpha5_INJ = alpha5_inj[unfolded alpha_gen, quot_lifted, folded alpha_gen]
 
-lemma lets_bla:
-  "x \<noteq> z \<Longrightarrow> y \<noteq> z \<Longrightarrow> x \<noteq> y \<Longrightarrow>(Lt5 (Lcons x (Vr5 y) Lnil) (Vr5 x)) \<noteq> (Lt5 (Lcons x (Vr5 z) Lnil) (Vr5 x))"
-apply (simp only: alpha5_INJ)
-apply (simp only: bv5)
-apply simp
-done
-
-lemma lets_ok:
-  "(Lt5 (Lcons x (Vr5 y) Lnil) (Vr5 x)) = (Lt5 (Lcons y (Vr5 y) Lnil) (Vr5 y))"
-apply (simp add: alpha5_INJ)
-apply (rule_tac x="(x \<leftrightarrow> y)" in exI)
-apply (simp_all add: alpha_gen)
-apply (simp add: permute_trm5_lts fresh_star_def eqvts)
-done
-
-lemma lets_ok3:
-  "x \<noteq> y \<Longrightarrow>
-   (Lt5 (Lcons x (Ap5 (Vr5 y) (Vr5 x)) (Lcons y (Vr5 y) Lnil)) (Ap5 (Vr5 x) (Vr5 y))) \<noteq>
-   (Lt5 (Lcons y (Ap5 (Vr5 x) (Vr5 y)) (Lcons x (Vr5 x) Lnil)) (Ap5 (Vr5 x) (Vr5 y)))"
-apply (simp add: permute_trm5_lts alpha_gen alpha5_INJ)
-done
-
-
-lemma lets_not_ok1:
-  "(Lt5 (Lcons x (Vr5 x) (Lcons y (Vr5 y) Lnil)) (Ap5 (Vr5 x) (Vr5 y))) =
-   (Lt5 (Lcons y (Vr5 x) (Lcons x (Vr5 y) Lnil)) (Ap5 (Vr5 x) (Vr5 y)))"
-apply (simp add: alpha5_INJ alpha_gen)
-apply (rule_tac x="0::perm" in exI)
-apply (simp add: permute_trm5_lts fresh_star_def alpha5_INJ(5) alpha5_INJ(2) alpha5_INJ(1) eqvts)
-apply blast
-done
-
-lemma distinct_helper:
-  shows "\<not>(rVr5 x \<approx>5 rAp5 y z)"
-  apply auto
-  apply (erule alpha_rtrm5.cases)
-  apply (simp_all only: rtrm5.distinct)
-  done
-
-lemma distinct_helper2:
-  shows "(Vr5 x) \<noteq> (Ap5 y z)"
-  by (lifting distinct_helper)
-
-lemma lets_nok:
-  "x \<noteq> y \<Longrightarrow> x \<noteq> z \<Longrightarrow> z \<noteq> y \<Longrightarrow>
-   (Lt5 (Lcons x (Ap5 (Vr5 z) (Vr5 z)) (Lcons y (Vr5 z) Lnil)) (Ap5 (Vr5 x) (Vr5 y))) \<noteq>
-   (Lt5 (Lcons y (Vr5 z) (Lcons x (Ap5 (Vr5 z) (Vr5 z)) Lnil)) (Ap5 (Vr5 x) (Vr5 y)))"
-apply (simp only: alpha5_INJ(3) alpha5_INJ(5) alpha_gen permute_trm5_lts fresh_star_def)
-apply (simp add: distinct_helper2 alpha5_INJ permute_trm5_lts)
-done
-
 end