diff -r ed5ddf9fcc77 -r 9ba11d41cd1f src/HOL/Multivariate_Analysis/Euclidean_Space.thy --- a/src/HOL/Multivariate_Analysis/Euclidean_Space.thy Mon Sep 12 09:57:33 2011 -0400 +++ b/src/HOL/Multivariate_Analysis/Euclidean_Space.thy Mon Sep 12 09:21:01 2011 -0700 @@ -275,23 +275,6 @@ subsubsection {* Type @{typ complex} *} - (* TODO: move these to Complex.thy/Inner_Product.thy *) - -lemma norm_ii [simp]: "norm ii = 1" - unfolding i_def by simp - -lemma complex_inner_1 [simp]: "inner 1 x = Re x" - unfolding inner_complex_def by simp - -lemma complex_inner_1_right [simp]: "inner x 1 = Re x" - unfolding inner_complex_def by simp - -lemma complex_inner_ii_left [simp]: "inner ii x = Im x" - unfolding inner_complex_def by simp - -lemma complex_inner_ii_right [simp]: "inner x ii = Im x" - unfolding inner_complex_def by simp - instantiation complex :: euclidean_space begin