--- a/src/HOL/Library/Product_ord.thy Sat May 24 23:52:35 2008 +0200
+++ b/src/HOL/Library/Product_ord.thy Mon May 26 17:55:34 2008 +0200
@@ -22,16 +22,16 @@
end
+lemma [code, code func del]:
+ "(x1, y1) \<le> (x2, y2) \<longleftrightarrow> x1 < x2 \<or> x1 = x2 \<and> y1 \<le> y2"
+ "(x1, y1) < (x2, y2) \<longleftrightarrow> x1 < x2 \<or> x1 = x2 \<and> y1 < y2"
+ unfolding prod_le_def prod_less_def by simp_all
+
lemma [code func]:
"(x1\<Colon>'a\<Colon>{ord, eq}, y1) \<le> (x2, y2) \<longleftrightarrow> x1 < x2 \<or> x1 = x2 \<and> y1 \<le> y2"
"(x1\<Colon>'a\<Colon>{ord, eq}, y1) < (x2, y2) \<longleftrightarrow> x1 < x2 \<or> x1 = x2 \<and> y1 < y2"
unfolding prod_le_def prod_less_def by simp_all
-lemma [code]:
- "(x1, y1) \<le> (x2, y2) \<longleftrightarrow> x1 < x2 \<or> x1 = x2 \<and> y1 \<le> y2"
- "(x1, y1) < (x2, y2) \<longleftrightarrow> x1 < x2 \<or> x1 = x2 \<and> y1 < y2"
- unfolding prod_le_def prod_less_def by simp_all
-
instance * :: (order, order) order
by default (auto simp: prod_le_def prod_less_def intro: order_less_trans)