[Sync] Move the last things out of core/.

components/sync/base/sync_db_util.h

-// 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.
-
-#ifndef COMPONENTS_SYNC_BASE_SYNC_DB_UTIL_H_
-#define COMPONENTS_SYNC_BASE_SYNC_DB_UTIL_H_
-
-#include "base/callback.h"
-#include "base/memory/ref_counted.h"
-#include "base/time/time.h"
-
-namespace base {
-class FilePath;
-class SingleThreadTaskRunner;
-}  // namespace base
-
-namespace syncer {
-
-// Check integrity of sync DB under |sync_dir|. Invoke |callback| with last
-// modified time if integrity check passes, with NULL time otherwise. This
-// is called on either sync thread or IO thread.
-void CheckSyncDbLastModifiedTime(
-    const base::FilePath& sync_dir,
-    scoped_refptr<base::SingleThreadTaskRunner> callback_runner,
-    base::Callback<void(base::Time)> callback);
-
-}  // namespace syncer
-
-#endif  // COMPONENTS_SYNC_BASE_SYNC_DB_UTIL_H_