--- a/src/HOL/Old_Number_Theory/Gauss.thy Sat Nov 27 17:44:36 2010 -0800
+++ b/src/HOL/Old_Number_Theory/Gauss.thy Sun Nov 28 15:20:51 2010 +0100
@@ -73,22 +73,22 @@
done
lemma finite_B: "finite (B)"
- by (auto simp add: B_def finite_A finite_imageI)
+by (auto simp add: B_def finite_A)
lemma finite_C: "finite (C)"
- by (auto simp add: C_def finite_B finite_imageI)
+by (auto simp add: C_def finite_B)
lemma finite_D: "finite (D)"
- by (auto simp add: D_def finite_Int finite_C)
+by (auto simp add: D_def finite_Int finite_C)
lemma finite_E: "finite (E)"
- by (auto simp add: E_def finite_Int finite_C)
+by (auto simp add: E_def finite_Int finite_C)
lemma finite_F: "finite (F)"
- by (auto simp add: F_def finite_E finite_imageI)
+by (auto simp add: F_def finite_E)
lemma C_eq: "C = D \<union> E"
- by (auto simp add: C_def D_def E_def)
+by (auto simp add: C_def D_def E_def)
lemma A_card_eq: "card A = nat ((p - 1) div 2)"
apply (auto simp add: A_def)