--- a/src/HOL/HOLCF/UpperPD.thy Sun Dec 19 04:06:02 2010 -0800
+++ b/src/HOL/HOLCF/UpperPD.thy Sun Dec 19 05:15:31 2010 -0800
@@ -455,6 +455,19 @@
subsection {* Upper powerdomain is a domain *}
+lemma approx_chain_upper_map:
+ assumes "approx_chain a"
+ shows "approx_chain (\<lambda>i. upper_map\<cdot>(a i))"
+ using assms unfolding approx_chain_def
+ by (simp add: lub_APP upper_map_ID finite_deflation_upper_map)
+
+instance upper_pd :: ("domain") bifinite
+proof
+ show "\<exists>(a::nat \<Rightarrow> 'a upper_pd \<rightarrow> 'a upper_pd). approx_chain a"
+ using bifinite [where 'a='a]
+ by (fast intro!: approx_chain_upper_map)
+qed
+
definition
upper_approx :: "nat \<Rightarrow> udom upper_pd \<rightarrow> udom upper_pd"
where