changeset 61694 | 6571c78c9667 |
parent 61649 | 268d88ec9087 |
child 63367 | 6c731c8b7f03 |
--- a/src/HOL/ex/Sum_of_Powers.thy Tue Nov 17 12:01:19 2015 +0100 +++ b/src/HOL/ex/Sum_of_Powers.thy Tue Nov 17 12:32:08 2015 +0000 @@ -189,7 +189,7 @@ by (auto simp add: sum_of_powers) also have "... = ((n ^ 2 + n) / 2) ^ 2" by (simp add: unroll algebra_simps power2_eq_square power4_eq power3_eq_cube) - finally show ?thesis by simp + finally show ?thesis by (simp add: power_divide) qed lemma sum_of_cubes_nat: "(\<Sum>k\<le>n::nat. k ^ 3) = (n ^ 2 + n) ^ 2 div 4"