# HG changeset patch
# User eberlm <eberlm@in.tum.de>
# Date 1468583119 -7200
# Node ID ba050a42a702f4ca25e6c88f5f9cc491c32b7ce7
# Parent  6c644d547db762f5e7024168042f008904681a25# Parent  ef794d2e37547bf909e2f291d5bdd301756c5434
Merged

diff -r 6c644d547db7 -r ba050a42a702 src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thy
--- a/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thy	Fri Jul 15 12:34:45 2016 +0200
+++ b/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thy	Fri Jul 15 13:45:19 2016 +0200
@@ -4114,9 +4114,9 @@
   have "~ ?rhs \<longleftrightarrow> ~ ?lhs"
   proof
     assume notr: "~ ?rhs"
-    have nog: "~ (\<exists>g. continuous_on (S \<union> connected_component_set (- S) a) g \<and>
+    have nog: "\<nexists>g. continuous_on (S \<union> connected_component_set (- S) a) g \<and>
                    g ` (S \<union> connected_component_set (- S) a) \<subseteq> sphere 0 1 \<and>
-                   (\<forall>x\<in>S. g x = (x - a) /\<^sub>R norm (x - a)))"
+                   (\<forall>x\<in>S. g x = (x - a) /\<^sub>R norm (x - a))"
          if "bounded (connected_component_set (- S) a)"
       apply (rule non_extensible_Borsuk_map [OF \<open>compact S\<close> componentsI _ aincc])
       using  \<open>a \<notin> S\<close> that by auto
diff -r 6c644d547db7 -r ba050a42a702 src/HOL/Multivariate_Analysis/document/root.tex
--- a/src/HOL/Multivariate_Analysis/document/root.tex	Fri Jul 15 12:34:45 2016 +0200
+++ b/src/HOL/Multivariate_Analysis/document/root.tex	Fri Jul 15 13:45:19 2016 +0200
@@ -1,6 +1,11 @@
 \documentclass[11pt,a4paper]{article}
-\usepackage{graphicx,isabelle,isabellesym,latexsym,textcomp}
+\usepackage{graphicx}
+\usepackage{isabelle}
+\usepackage{isabellesym}
+\usepackage{latexsym}
+\usepackage{textcomp}
 \usepackage{amsmath}
+\usepackage{amssymb}
 \usepackage[only,bigsqcap]{stmaryrd}
 \usepackage{pdfsetup}