diff -r 4898bae6ef23 -r 0a54cfc9add3 src/HOL/Old_Number_Theory/Gauss.thy --- 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 \ 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)