chrome/browser: Remove use of MessageLoopProxy and deprecated MessageLoop APIs

chrome/browser/background/background_mode_manager.cc

Index: chrome/browser/background/background_mode_manager.cc
diff --git a/chrome/browser/background/background_mode_manager.cc b/chrome/browser/background/background_mode_manager.cc
index db6b3c1bc567fefe938764c333112934d89789bf..9e3427d63d82004ca46e4f3a6ce99e1a22396ee8 100644
--- a/chrome/browser/background/background_mode_manager.cc
+++ b/chrome/browser/background/background_mode_manager.cc
@@ -11,11 +11,14 @@
 #include "base/base_paths.h"
 #include "base/bind.h"
 #include "base/command_line.h"
+#include "base/location.h"
 #include "base/logging.h"
 #include "base/metrics/histogram.h"
 #include "base/prefs/pref_registry_simple.h"
 #include "base/prefs/pref_service.h"
+#include "base/single_thread_task_runner.h"
 #include "base/strings/utf_string_conversions.h"
+#include "base/thread_task_runner_handle.h"
 #include "chrome/app/chrome_command_ids.h"
 #include "chrome/browser/background/background_application_list_model.h"
 #include "chrome/browser/browser_process.h"
@@ -623,7 +626,7 @@ void BackgroundModeManager::DecrementKeepAliveCountForStartup() {
     // We call this via the message queue to make sure we don't try to end
     // keep-alive (which can shutdown Chrome) before the message loop has
     // started.
-    base::MessageLoop::current()->PostTask(
+    base::ThreadTaskRunnerHandle::Get()->PostTask(
         FROM_HERE, base::Bind(&chrome::DecrementKeepAliveCount));
   }
 }