changeset 25783 | b2874ee9081a |
parent 25779 | ae71b21de8fb |
child 25786 | 6b3c79acac1f |
--- a/src/HOLCF/Cont.thy Wed Jan 02 18:27:07 2008 +0100 +++ b/src/HOLCF/Cont.thy Wed Jan 02 18:28:15 2008 +0100 @@ -89,6 +89,13 @@ apply (erule ub_rangeD) done +lemma ub2ub_monofun': + "\<lbrakk>monofun f; S <| u\<rbrakk> \<Longrightarrow> f ` S <| f u" +apply (rule ub_imageI) +apply (erule monofunE) +apply (erule (1) is_ubD) +done + text {* monotone functions map directed sets to directed sets *} lemma dir2dir_monofun: