browser: Start moving application_lifetime.h functions into chrome namespace.

chrome/browser/ui/browser.cc

Index: chrome/browser/ui/browser.cc
diff --git a/chrome/browser/ui/browser.cc b/chrome/browser/ui/browser.cc
index 23fdd51d8e5f0e0335e1a4187129a421c367cad0..99af8b897e1fcc4f5aea12abefe75abedc113889 100644
--- a/chrome/browser/ui/browser.cc
+++ b/chrome/browser/ui/browser.cc
@@ -635,7 +635,7 @@ void Browser::OnWindowClosing() {
   // AppController on the Mac, or BackgroundContentsService for background
   // pages).
   bool should_quit_if_last_browser =
-      browser_shutdown::IsTryingToQuit() || !browser::WillKeepAlive();
+      browser_shutdown::IsTryingToQuit() || !chrome::WillKeepAlive();
 
   if (should_quit_if_last_browser && BrowserList::size() == 1)
     browser_shutdown::OnShutdownStarting(browser_shutdown::WINDOW_CLOSE);