--- a/src/HOL/Old_Number_Theory/WilsonBij.thy Mon Feb 08 17:12:27 2010 +0100
+++ b/src/HOL/Old_Number_Theory/WilsonBij.thy Mon Feb 08 17:12:30 2010 +0100
@@ -74,9 +74,9 @@
lemma aux: "[a * (p - 1) = 1] (mod p) = [a = p - 1] (mod p)"
-- {* same as @{text WilsonRuss} *}
apply (unfold zcong_def)
- apply (simp add: OrderedGroup.diff_diff_eq diff_diff_eq2 zdiff_zmult_distrib2)
+ apply (simp add: diff_diff_eq diff_diff_eq2 zdiff_zmult_distrib2)
apply (rule_tac s = "p dvd -((a + 1) + (p * -a))" in trans)
- apply (simp add: mult_commute)
+ apply (simp add: algebra_simps)
apply (subst dvd_minus_iff)
apply (subst zdvd_reduce)
apply (rule_tac s = "p dvd (a + 1) + (p * -1)" in trans)