# HG changeset patch
# User nipkow
# Date 1169488829 -3600
# Node ID 627e7aee1b82f57a8810875432be25f79ab9fb61
# Parent  c3afded569ea6b0ba25740941ccf15ea0fe72556
simplified proofs

diff -r c3afded569ea -r 627e7aee1b82 src/HOL/Lattices.thy
--- a/src/HOL/Lattices.thy	Mon Jan 22 18:17:04 2007 +0100
+++ b/src/HOL/Lattices.thy	Mon Jan 22 19:00:29 2007 +0100
@@ -58,12 +58,7 @@
 by blast
 
 lemma le_iff_inf: "(x \<sqsubseteq> y) = (x \<sqinter> y = x)"
-apply rule
- apply(simp add: antisym)
-apply(subgoal_tac "x \<sqinter> y \<sqsubseteq> y")
- apply(simp)
-apply(simp (no_asm))
-done
+by(blast dest:eq_iff[THEN iffD1])
 
 end
 
@@ -96,12 +91,7 @@
 by blast
 
 lemma le_iff_sup: "(x \<sqsubseteq> y) = (x \<squnion> y = y)"
-apply rule
- apply(simp add: antisym)
-apply(subgoal_tac "x \<sqsubseteq> x \<squnion> y")
-apply(simp)
- apply(simp (no_asm))
-done
+by(blast dest:eq_iff[THEN iffD1])
 
 end