# HG changeset patch # User nipkow # Date 1573832649 -3600 # Node ID f636d31f3616d7b6f0def1ef4f5c64cbcc043c34 # Parent 781b15f53098f6c538b8d018def40659c80c0c93 tuned diff -r 781b15f53098 -r f636d31f3616 src/HOL/Analysis/Convex.thy --- a/src/HOL/Analysis/Convex.thy Thu Nov 14 22:59:20 2019 +0100 +++ b/src/HOL/Analysis/Convex.thy Fri Nov 15 16:44:09 2019 +0100 @@ -1412,7 +1412,7 @@ using mem_affine_3[of S x y z 1 v "-v"] assms by (simp add: algebra_simps) -corollary mem_affine_3_minus2: +corollary%unimportant mem_affine_3_minus2: "\affine S; x \ S; y \ S; z \ S\ \ x - v *\<^sub>R (y-z) \ S" by (metis add_uminus_conv_diff mem_affine_3_minus real_vector.scale_minus_left) @@ -1977,8 +1977,8 @@ ultimately show False by auto qed -corollary connected_UNIV[intro]: "connected (UNIV :: 'a::real_normed_vector set)" - by (simp add: convex_connected) +corollary%unimportant connected_UNIV[intro]: "connected (UNIV :: 'a::real_normed_vector set)" +by (simp add: convex_connected) lemma convex_prod: assumes "\i. i \ Basis \ convex {x. P i x}" @@ -1987,7 +1987,7 @@ by (auto simp: inner_add_left) lemma convex_positive_orthant: "convex {x::'a::euclidean_space. (\i\Basis. 0 \ x\i)}" - by (rule convex_prod) (simp add: atLeast_def[symmetric] convex_real_interval) +by (rule convex_prod) (simp flip: atLeast_def) subsection \Convex hull\