# HG changeset patch # User hoelzl # Date 1305821475 -7200 # Node ID 348fa5df7d3fb379b70f7effdfab88e08fcf48cb # Parent 1e1b74448f6bfecd107db567a9a495cf43eab4e0 remove double sum_over_space_real_distribution diff -r 1e1b74448f6b -r 348fa5df7d3f src/HOL/Probability/Probability_Measure.thy --- a/src/HOL/Probability/Probability_Measure.thy Thu May 19 18:09:20 2011 +0200 +++ b/src/HOL/Probability/Probability_Measure.thy Thu May 19 18:11:15 2011 +0200 @@ -611,12 +611,6 @@ (auto simp add: disjoint_family_on_def sets_eq_Pow intro!: arg_cong[where f=\']) -lemma (in finite_prob_space) sum_over_space_real_distribution: - "(\x\X`space M. distribution X {x}) = 1" - unfolding distribution_def prob_space[symmetric] using finite_space - by (subst finite_measure_finite_Union[symmetric]) - (auto simp add: disjoint_family_on_def sets_eq_Pow intro!: arg_cong[where f=prob]) - lemma (in finite_prob_space) finite_sum_over_space_eq_1: "(\x\space M. prob {x}) = 1" using prob_space finite_space