src/HOL/Lattice/Bounds.thy
changeset 23393 31781b2de73d
parent 23373 ead82c82da9e
child 27193 740159cfbf0e
--- a/src/HOL/Lattice/Bounds.thy	Thu Jun 14 22:59:42 2007 +0200
+++ b/src/HOL/Lattice/Bounds.thy	Thu Jun 14 23:04:36 2007 +0200
@@ -193,8 +193,8 @@
   show ?thesis
   proof
     show "x \<sqsubseteq> x" ..
-    show "x \<sqsubseteq> y" by assumption
-    fix z assume "z \<sqsubseteq> x" and "z \<sqsubseteq> y" show "z \<sqsubseteq> x" by assumption
+    show "x \<sqsubseteq> y" by fact
+    fix z assume "z \<sqsubseteq> x" and "z \<sqsubseteq> y" show "z \<sqsubseteq> x" by fact
   qed
 qed
 
@@ -203,10 +203,10 @@
   assume "x \<sqsubseteq> y"
   show ?thesis
   proof
-    show "x \<sqsubseteq> y" by assumption
+    show "x \<sqsubseteq> y" by fact
     show "y \<sqsubseteq> y" ..
     fix z assume "x \<sqsubseteq> z" and "y \<sqsubseteq> z"
-    show "y \<sqsubseteq> z" by assumption
+    show "y \<sqsubseteq> z" by fact
   qed
 qed