# HG changeset patch
# User nipkow
# Date 1575457207 -3600
# Node ID 1249859d23dd76f6ae47aa6bd16568ff9b127fcb
# Parent  54a7ad860a765ecbf13b78ca4fe1e7232eb7984d
moved lemma

diff -r 54a7ad860a76 -r 1249859d23dd src/HOL/Analysis/Convex_Euclidean_Space.thy
--- a/src/HOL/Analysis/Convex_Euclidean_Space.thy	Tue Dec 03 16:51:53 2019 +0100
+++ b/src/HOL/Analysis/Convex_Euclidean_Space.thy	Wed Dec 04 12:00:07 2019 +0100
@@ -455,6 +455,11 @@
   shows "closure S \<subseteq> affine hull S"
   by (intro closure_minimal hull_subset affine_closed affine_affine_hull)
 
+lemma closed_affine_hull [iff]:
+  fixes S :: "'n::euclidean_space set"
+  shows "closed (affine hull S)"
+  by (metis affine_affine_hull affine_closed)
+
 lemma closure_same_affine_hull [simp]:
   fixes S :: "'n::euclidean_space set"
   shows "affine hull (closure S) = affine hull S"
diff -r 54a7ad860a76 -r 1249859d23dd src/HOL/Analysis/Starlike.thy
--- a/src/HOL/Analysis/Starlike.thy	Tue Dec 03 16:51:53 2019 +0100
+++ b/src/HOL/Analysis/Starlike.thy	Wed Dec 04 12:00:07 2019 +0100
@@ -1296,11 +1296,6 @@
   shows "rel_frontier((\<lambda>x. a + x) ` S) = (\<lambda>x. a + x) ` (rel_frontier S)"
 by (simp add: rel_frontier_def translation_diff rel_interior_translation closure_translation)
 
-lemma closed_affine_hull [iff]:
-  fixes S :: "'n::euclidean_space set"
-  shows "closed (affine hull S)"
-  by (metis affine_affine_hull affine_closed)
-
 lemma rel_frontier_nonempty_interior:
   fixes S :: "'n::euclidean_space set"
   shows "interior S \<noteq> {} \<Longrightarrow> rel_frontier S = frontier S"