src/HOL/Cardinals/Cardinal_Arithmetic.thy
changeset 60585 48fdff264eb2
parent 58889 5b7a9633cfa8
child 61943 7fba644ed827
--- a/src/HOL/Cardinals/Cardinal_Arithmetic.thy	Fri Jun 26 00:14:10 2015 +0200
+++ b/src/HOL/Cardinals/Cardinal_Arithmetic.thy	Fri Jun 26 10:20:33 2015 +0200
@@ -297,8 +297,8 @@
 assumes "|A| \<le>o k" and "\<forall> a \<in> A. |vimage f {a}| \<le>o k" and "Cinfinite k"
 shows "|vimage f A| \<le>o k"
 proof-
-  have "vimage f A = (\<Union> a \<in> A. vimage f {a})" by auto
-  also have "|\<Union> a \<in> A. vimage f {a}| \<le>o k"
+  have "vimage f A = (\<Union>a \<in> A. vimage f {a})" by auto
+  also have "|\<Union>a \<in> A. vimage f {a}| \<le>o k"
   using UNION_Cinfinite_bound[OF assms] .
   finally show ?thesis .
 qed