# HG changeset patch
# User immler
# Date 1575313052 18000
# Node ID 1bf7d1acbe74298b809af2cae4e108cdc5e9dfa0
# Parent  36961c681fed9e36bb31f3adfde3764a5abb4c28
tuned Analysis manual

diff -r 36961c681fed -r 1bf7d1acbe74 src/HOL/Analysis/Elementary_Metric_Spaces.thy
--- a/src/HOL/Analysis/Elementary_Metric_Spaces.thy	Mon Dec 02 13:41:44 2019 -0500
+++ b/src/HOL/Analysis/Elementary_Metric_Spaces.thy	Mon Dec 02 13:57:32 2019 -0500
@@ -4,7 +4,7 @@
     Author:     Brian Huffman, Portland State University
 *)
 
-chapter \<open>Functional Analysis\<close>
+section \<open>Elementary Metric Spaces\<close>
 
 theory Elementary_Metric_Spaces
   imports
@@ -12,8 +12,6 @@
     Metric_Arith
 begin
 
-section \<open>Elementary Metric Spaces\<close>
-
 subsection \<open>Open and closed balls\<close>
 
 definition\<^marker>\<open>tag important\<close> ball :: "'a::metric_space \<Rightarrow> real \<Rightarrow> 'a set"
diff -r 36961c681fed -r 1bf7d1acbe74 src/HOL/Analysis/Metric_Arith.thy
--- a/src/HOL/Analysis/Metric_Arith.thy	Mon Dec 02 13:41:44 2019 -0500
+++ b/src/HOL/Analysis/Metric_Arith.thy	Mon Dec 02 13:57:32 2019 -0500
@@ -2,13 +2,15 @@
     Author:   Maximilian Schäffeler (port from HOL Light)
 *)
 
-section \<open>A decision procedure for metric spaces\<close>
+chapter \<open>Functional Analysis\<close>
+
+section\<^marker>\<open>tag unimportant\<close> \<open>A decision procedure for metric spaces\<close>
 
 theory Metric_Arith
   imports HOL.Real_Vector_Spaces
 begin
 
-text \<open>
+text\<^marker>\<open>tag unimportant\<close> \<open>
 A port of the decision procedure ``Formalization of metric spaces in HOL Light''
 @{cite "DBLP:journals/jar/Maggesi18"} for the type class @{class metric_space},
 with the \<open>Argo\<close> solver as backend.