changeset 62948 | 7700f467892b |
parent 62623 | dbc62f86a1a9 |
child 63007 | aa894a49f77d |
--- a/src/HOL/Multivariate_Analysis/Linear_Algebra.thy Sun Apr 10 23:15:34 2016 +0200 +++ b/src/HOL/Multivariate_Analysis/Linear_Algebra.thy Mon Apr 11 16:27:42 2016 +0100 @@ -784,7 +784,7 @@ apply (auto simp add: subspace_def) done -lemma (in real_vector) independent_empty[intro]: "independent {}" +lemma (in real_vector) independent_empty [iff]: "independent {}" by (simp add: dependent_def) lemma dependent_single[simp]: "dependent {x} \<longleftrightarrow> x = 0"