changeset 57418 | 6ab1c7cb0b8d |
parent 57245 | f6bf6d5341ee |
child 57512 | cc97b347b301 |
--- a/src/HOL/Metis_Examples/Big_O.thy Fri Jun 27 22:08:55 2014 +0200 +++ b/src/HOL/Metis_Examples/Big_O.thy Sat Jun 28 09:16:42 2014 +0200 @@ -552,7 +552,8 @@ apply (erule ssubst) apply (erule bigo_setsum3) apply (rule ext) -apply (rule setsum_cong2) +apply (rule setsum.cong) +apply (rule refl) by (metis abs_of_nonneg zero_le_mult_iff) lemma bigo_setsum6: "f =o g +o O(h) \<Longrightarrow> \<forall>x y. 0 <= l x y \<Longrightarrow>