src/HOL/UNITY/Extend.thy
changeset 13819 78f5885b76a9
parent 13812 91713a1915ee
child 16417 9bc16273c2d4
--- a/src/HOL/UNITY/Extend.thy	Sun Feb 16 12:16:07 2003 +0100
+++ b/src/HOL/UNITY/Extend.thy	Sun Feb 16 12:17:40 2003 +0100
@@ -429,7 +429,7 @@
 done
 
 lemma (in Extend) extend_Join [simp]:
-     "extend h (F Join G) = extend h F Join extend h G"
+     "extend h (F\<squnion>G) = extend h F\<squnion>extend h G"
 apply (rule program_equalityI)
 apply (simp (no_asm) add: extend_set_Int_distrib)
 apply (simp add: image_Un, auto)
@@ -679,14 +679,14 @@
 subsection{*Guarantees*}
 
 lemma (in Extend) project_extend_Join:
-     "project h UNIV ((extend h F) Join G) = F Join (project h UNIV G)"
+     "project h UNIV ((extend h F)\<squnion>G) = F\<squnion>(project h UNIV G)"
 apply (rule program_equalityI)
   apply (simp add: project_set_extend_set_Int)
  apply (simp add: image_eq_UN UN_Un, auto)
 done
 
 lemma (in Extend) extend_Join_eq_extend_D:
-     "(extend h F) Join G = extend h H ==> H = F Join (project h UNIV G)"
+     "(extend h F)\<squnion>G = extend h H ==> H = F\<squnion>(project h UNIV G)"
 apply (drule_tac f = "project h UNIV" in arg_cong)
 apply (simp add: project_extend_Join)
 done