| changeset 60449 | 229bad93377e |
| parent 60423 | 5035a2af185b |
| child 61070 | b72a990adfe2 |
--- a/src/HOL/Library/Convex.thy Thu Jun 11 22:47:53 2015 +0200 +++ b/src/HOL/Library/Convex.thy Sat Jun 13 13:09:05 2015 +0200 @@ -538,7 +538,7 @@ by auto let ?a = "\<lambda>j. a j / (1 - a i)" have a_nonneg: "?a j \<ge> 0" if "j \<in> s" for j - using i0 insert prems by fastforce + using i0 insert that by fastforce have "(\<Sum> j \<in> insert i s. a j) = 1" using insert by auto then have "(\<Sum> j \<in> s. a j) = 1 - a i"