equal
deleted
inserted
replaced
7260 by (simp add: d_def DIM_positive) |
7260 by (simp add: d_def DIM_positive) |
7261 show "convex hull c \<subseteq> cball x e" |
7261 show "convex hull c \<subseteq> cball x e" |
7262 unfolding 2 |
7262 unfolding 2 |
7263 apply clarsimp |
7263 apply clarsimp |
7264 apply (subst euclidean_dist_l2) |
7264 apply (subst euclidean_dist_l2) |
7265 apply (rule order_trans [OF setL2_le_sum]) |
7265 apply (rule order_trans [OF L2_set_le_sum]) |
7266 apply (rule zero_le_dist) |
7266 apply (rule zero_le_dist) |
7267 unfolding e' |
7267 unfolding e' |
7268 apply (rule sum_mono) |
7268 apply (rule sum_mono) |
7269 apply simp |
7269 apply simp |
7270 done |
7270 done |