Move PathIsWritable, DirectoryExists, ContentsEqual, and TextContentsEqual to the base namespace.

chrome/browser/web_applications/web_app_mac.mm

Index: chrome/browser/web_applications/web_app_mac.mm
diff --git a/chrome/browser/web_applications/web_app_mac.mm b/chrome/browser/web_applications/web_app_mac.mm
index cda4da675f1e8cbf8d2a65791183b85dd13a1cec..e731611ac7b60f09664176c3617e8695b6af9ae3 100644
--- a/chrome/browser/web_applications/web_app_mac.mm
+++ b/chrome/browser/web_applications/web_app_mac.mm
@@ -130,7 +130,7 @@ bool AddGfxImageToIconFamily(IconFamilyHandle icon_family,
 base::FilePath GetWritableApplicationsDirectory() {
   base::FilePath path;
   if (base::mac::GetLocalDirectory(NSApplicationDirectory, &path) &&
-      file_util::PathIsWritable(path)) {
+      base::PathIsWritable(path)) {
     return path;
   }
   if (base::mac::GetUserDirectory(NSApplicationDirectory, &path))
@@ -384,7 +384,7 @@ size_t WebAppShortcutCreator::CreateShortcutsIn(
 
 bool WebAppShortcutCreator::CreateShortcuts() {
   base::FilePath dst_path = GetDestinationPath();
-  if (dst_path.empty() || !file_util::DirectoryExists(dst_path.DirName())) {
+  if (dst_path.empty() || !base::DirectoryExists(dst_path.DirName())) {
     LOG(ERROR) << "Couldn't find an Applications directory to copy app to.";
     return false;
   }