Remove use of deprecated MessageLoop methods in chrome/.

chrome/browser/chromeos/login/easy_unlock/easy_unlock_reauth.cc

 // Copyright 2014 The Chromium Authors. All rights reserved.
 // Use of this source code is governed by a BSD-style license that can be
 // found in the LICENSE file.
 
 #include "base/bind.h"
+#include "base/location.h"
 #include "base/macros.h"
 #include "base/message_loop/message_loop.h"
+#include "base/single_thread_task_runner.h"
+#include "base/threading/thread_task_runner_handle.h"
 #include "chrome/browser/chrome_notification_types.h"
 #include "chrome/browser/chromeos/login/easy_unlock/easy_unlock_reauth.h"
 #include "chrome/browser/chromeos/login/lock/screen_locker.h"
 #include "chrome/grit/generated_resources.h"
 #include "chromeos/dbus/dbus_thread_manager.h"
 #include "chromeos/dbus/session_manager_client.h"
 #include "chromeos/login/auth/auth_status_consumer.h"
 #include "chromeos/login/auth/user_context.h"
 #include "components/proximity_auth/screenlock_bridge.h"
 #include "content/public/browser/notification_details.h"
@@ skipping 69 matching lines @@
     DCHECK(lock_users.size() == 1);
     proximity_auth::ScreenlockBridge::Get()
         ->lock_handler()
         ->ShowUserPodCustomIcon(lock_users[0]->GetAccountId(), icon_options);
   }
 
   // chromeos::AuthStatusConsumer:
   void OnAuthSuccess(const chromeos::UserContext& user_context) override {
     callback_.Run(user_context);
     // Schedule deletion.
-    base::MessageLoopForUI::current()->PostTask(FROM_HERE,
-                                                base::Bind(&EndReauthAttempt));
+    base::ThreadTaskRunnerHandle::Get()->PostTask(
+        FROM_HERE, base::Bind(&EndReauthAttempt));
   }
 
   void OnAuthFailure(const chromeos::AuthFailure& error) override {}
 
  private:
   content::NotificationRegistrar notification_registrar_;
   EasyUnlockReauth::UserContextCallback callback_;
 
   DISALLOW_COPY_AND_ASSIGN(ReauthHandler);
 };
@@ skipping 14 matching lines @@
     base::Callback<void(const UserContext&)> callback) {
   DCHECK(base::MessageLoopForUI::IsCurrent());
   if (g_reauth_handler)
     return false;
 
   g_reauth_handler = new ReauthHandler(callback);
   return g_reauth_handler->Start();
 }
 
 }  // namespace chromeos