--- a/src/HOL/Probability/Regularity.thy Sat May 25 15:44:08 2013 +0200
+++ b/src/HOL/Probability/Regularity.thy Sat May 25 15:44:29 2013 +0200
@@ -209,8 +209,8 @@
from nat_approx_posE[OF this] guess n . note n = this
let ?k = "from_nat_into X ` {0..k e (Suc n)}"
have "finite ?k" by simp
- moreover have "K \<subseteq> \<Union>(\<lambda>x. ball x e') ` ?k" unfolding K_def B_def using n by force
- ultimately show "\<exists>k. finite k \<and> K \<subseteq> \<Union>(\<lambda>x. ball x e') ` k" by blast
+ moreover have "K \<subseteq> \<Union>((\<lambda>x. ball x e') ` ?k)" unfolding K_def B_def using n by force
+ ultimately show "\<exists>k. finite k \<and> K \<subseteq> \<Union>((\<lambda>x. ball x e') ` k)" by blast
qed
ultimately
show "?thesis e " by (auto simp: sU)