src/HOL/OrderedGroup.thy
changeset 19404 9bf2cdc9e8e8
parent 19233 77ca20b0ed77
child 19527 9b5c38e8e780
--- a/src/HOL/OrderedGroup.thy	Mon Apr 10 14:37:23 2006 +0200
+++ b/src/HOL/OrderedGroup.thy	Mon Apr 10 16:00:34 2006 +0200
@@ -854,6 +854,12 @@
 lemma nprt_mono[simp]: "(a::_::lordered_ab_group) <= b \<Longrightarrow> nprt a <= nprt b"
   by (simp add: le_def_meet nprt_def meet_aci)
 
+lemma pprt_neg: "pprt (-x) = - nprt x"
+  by (simp add: pprt_def nprt_def)
+
+lemma nprt_neg: "nprt (-x) = - pprt x"
+  by (simp add: pprt_def nprt_def)
+
 lemma iff2imp: "(A=B) \<Longrightarrow> (A \<Longrightarrow> B)"
 by (simp)
 
@@ -1029,6 +1035,8 @@
 declare diff_le_0_iff_le [simp]
 
 
+
+
 ML {*
 val add_zero_left = thm"add_0";
 val add_zero_right = thm"add_0_right";