diff -r e61b0b819d28 -r bc758f4f09e5 src/HOL/Transcendental.thy --- a/src/HOL/Transcendental.thy Sun Jan 13 20:25:41 2019 +0100 +++ b/src/HOL/Transcendental.thy Mon Jan 14 14:46:12 2019 +0100 @@ -6088,7 +6088,7 @@ also have "\ = (\(i,j) \ (SIGMA i : atMost n. lessThan i). a i * (x - y) * (y^(i - Suc j) * x^j))" by (simp add: sum.Sigma) also have "\ = (\(j,i) \ (SIGMA j : lessThan n. {Suc j..n}). a i * (x - y) * (y^(i - Suc j) * x^j))" - by (auto simp: sum.reindex_bij_betw [OF h, symmetric] intro: sum.cong_strong) + by (auto simp: sum.reindex_bij_betw [OF h, symmetric] intro: sum.cong_simp) also have "\ = (\ji=Suc j..n. a i * (x - y) * (y^(i - Suc j) * x^j))" by (simp add: sum.Sigma) also have "\ = (x - y) * (\ji=Suc j..n. a i * y^(i - j - 1)) * x^j)" @@ -6110,7 +6110,7 @@ apply (rule_tac x="x + Suc j" in image_eqI, auto) done then show ?thesis - by (auto simp: sum.reindex_bij_betw [OF h, symmetric] intro: sum.cong_strong) + by (auto simp: sum.reindex_bij_betw [OF h, symmetric] intro: sum.cong_simp) qed then show ?thesis by (simp add: polyfun_diff [OF assms] sum_distrib_right)