| changeset 35055 | f0ecf952b864 |
| parent 34928 | 156925dd67af |
| child 35794 | 8cd7134275cc |
1.1 --- a/src/HOLCF/Fix.thy Sat Jan 16 17:15:28 2010 +0100 1.2 +++ b/src/HOLCF/Fix.thy Sun Feb 07 10:15:15 2010 -0800 1.3 @@ -73,6 +73,10 @@ 1.4 apply simp 1.5 done 1.6 1.7 +lemma iterate_below_fix: "iterate n\<cdot>f\<cdot>\<bottom> \<sqsubseteq> fix\<cdot>f" 1.8 + unfolding fix_def2 1.9 + using chain_iterate by (rule is_ub_thelub) 1.10 + 1.11 text {* 1.12 Kleene's fixed point theorems for continuous functions in pointed 1.13 omega cpo's