changeset 54781 | fe462aa28c3d |
parent 54777 | 1a2da44c8e7d |
child 54863 | 82acc20ded73 |
--- a/src/HOL/Multivariate_Analysis/Integration.thy Mon Dec 16 17:08:22 2013 +0100 +++ b/src/HOL/Multivariate_Analysis/Integration.thy Mon Dec 16 17:08:22 2013 +0100 @@ -222,6 +222,9 @@ lemma empty_as_interval: "{} = {One..(0::'a::ordered_euclidean_space)}" by (auto simp: eucl_le[where 'a='a]) +lemma One_nonneg: "0 \<le> (One::'a::ordered_euclidean_space)" + by (auto intro: setsum_nonneg) + lemma interior_subset_union_intervals: assumes "i = {a..b::'a::ordered_euclidean_space}" and "j = {c..d}"