# HG changeset patch # User immler # Date 1360769707 -3600 # Node ID 5dd7b89a16de92408476feb60a873b44cb135bf3 # Parent 358b27c56469837cc784ff881ad21ecbb6498f32 generalized diff -r 358b27c56469 -r 5dd7b89a16de src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thy --- a/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thy Wed Feb 13 16:35:07 2013 +0100 +++ b/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thy Wed Feb 13 16:35:07 2013 +0100 @@ -794,7 +794,7 @@ finally show "y \ ball x e" by (auto simp: ball_def) qed (insert a b, auto simp: box_def) qed - + lemma open_UNION_box: fixes M :: "'a\euclidean_space set" assumes "open M" @@ -5796,7 +5796,7 @@ show "\B::'a set set. countable B \ topological_basis B" unfolding topological_basis_def by blast qed -instance ordered_euclidean_space \ polish_space .. +instance euclidean_space \ polish_space .. text {* Intervals in general, including infinite and mixtures of open and closed. *}