src/HOL/Probability/Lebesgue_Measure.thy
changeset 42146 5b52c6a9c627
parent 42067 66c8281349ec
child 42164 f88c7315d72d
--- a/src/HOL/Probability/Lebesgue_Measure.thy	Tue Mar 29 14:27:31 2011 +0200
+++ b/src/HOL/Probability/Lebesgue_Measure.thy	Tue Mar 29 14:27:39 2011 +0200
@@ -6,7 +6,7 @@
 header {* Lebsegue measure *}
 
 theory Lebesgue_Measure
-  imports Product_Measure
+  imports Finite_Product_Measure
 begin
 
 subsection {* Standard Cubes *}
@@ -50,9 +50,6 @@
 lemma cube_subset_Suc[intro]: "cube n \<subseteq> cube (Suc n)"
   unfolding cube_def_raw subset_eq apply safe unfolding mem_interval by auto
 
-lemma Pi_iff: "f \<in> Pi I X \<longleftrightarrow> (\<forall>i\<in>I. f i \<in> X i)"
-  unfolding Pi_def by auto
-
 subsection {* Lebesgue measure *} 
 
 definition lebesgue :: "'a::ordered_euclidean_space measure_space" where