src/HOL/Orderings.thy
changeset 25103 1ee419a5a30f
parent 25076 a50b36401c61
child 25193 e2e1a4b00de3
--- a/src/HOL/Orderings.thy	Fri Oct 19 19:45:29 2007 +0200
+++ b/src/HOL/Orderings.thy	Fri Oct 19 19:45:31 2007 +0200
@@ -114,7 +114,7 @@
 text {* Reverse order *}
 
 lemma order_reverse:
-  "order (\<lambda>x y. y \<le> x) (\<lambda>x y. y < x)"
+  "order (op \<ge>) (op >)"
 by unfold_locales
    (simp add: less_le, auto intro: antisym order_trans)
 
@@ -187,7 +187,7 @@
 text {* Reverse order *}
 
 lemma linorder_reverse:
-  "linorder (\<lambda>x y. y \<le> x) (\<lambda>x y. y < x)"
+  "linorder (op \<ge>) (op >)"
 by unfold_locales
   (simp add: less_le, auto intro: antisym order_trans simp add: linear)
 
@@ -597,15 +597,6 @@
 lemmas linorder_antisym_conv2 = linorder_class.antisym_conv2
 lemmas linorder_antisym_conv3 = linorder_class.antisym_conv3
 
-lemmas min_le_iff_disj = linorder_class.min_le_iff_disj
-lemmas le_max_iff_disj = linorder_class.le_max_iff_disj
-lemmas min_less_iff_disj = linorder_class.min_less_iff_disj
-lemmas less_max_iff_disj = linorder_class.less_max_iff_disj
-lemmas min_less_iff_conj [simp] = linorder_class.min_less_iff_conj
-lemmas max_less_iff_conj [simp] = linorder_class.max_less_iff_conj
-lemmas split_min = linorder_class.split_min
-lemmas split_max = linorder_class.split_max
-
 
 subsection {* Bounded quantifiers *}