Delete "shutdown without closing browsers" path

chrome/browser/browser_shutdown.h

 // Copyright (c) 2012 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.
 
 #ifndef CHROME_BROWSER_BROWSER_SHUTDOWN_H__
 #define CHROME_BROWSER_BROWSER_SHUTDOWN_H__
 
 class PrefRegistrySimple;
 
 namespace browser_shutdown {
@@ skipping 48 matching lines @@
 // except from appropriate places in BrowserList. To quit, use usual means,
 // e.g., using |chrome_browser_application_mac::Terminate()| on the Mac, or
 // |BrowserList::CloseAllWindowsAndExit()| on other platforms. To stop quitting,
 // use |chrome_browser_application_mac::CancelTerminate()| on the Mac; other
 // platforms can call SetTryingToQuit(false) directly.
 void SetTryingToQuit(bool quitting);
 
 // General accessor.
 bool IsTryingToQuit();
 
-// This is true on X during an END_SESSION initiated by X IO Error, when we
-// can no longer depend on the X server to be running. As a result we don't
-// explicitly close the browser windows, which can lead to conditions which
-// would fail checks.
-bool ShuttingDownWithoutClosingBrowsers();
-
-// Sets the ShuttingDownWithoutClosingBrowsers flag.
-void SetShuttingDownWithoutClosingBrowsers(bool without_close);
-
 }  // namespace browser_shutdown
 
 #endif  // CHROME_BROWSER_BROWSER_SHUTDOWN_H__