author | paulson |
Tue, 19 Dec 2000 15:06:14 +0100 | |
changeset 10698 | dc5e984dfe13 |
parent 10697 | ec197510165a |
child 10699 | f0c3da8477e9 |
--- a/src/HOL/ex/NatSum.ML Tue Dec 19 13:06:49 2000 +0100 +++ b/src/HOL/ex/NatSum.ML Tue Dec 19 15:06:14 2000 +0100 @@ -93,8 +93,4 @@ Goal "0<k ==> (k-1) * setsum (%i. k^i) (lessThan n) = k^n - 1"; by (induct_tac "n" 1); by Auto_tac; -by (subgoal_tac "1*k^n <= k * k^n" 1); -by (Asm_full_simp_tac 1); -by (rtac mult_le_mono1 1); -by Auto_tac; qed "sum_of_powers";