sync: remove GetAuthenticatedUsername from ProfileSyncService/SyncBackendHost.

chrome/browser/sync/profile_sync_service.cc

Index: chrome/browser/sync/profile_sync_service.cc
diff --git a/chrome/browser/sync/profile_sync_service.cc b/chrome/browser/sync/profile_sync_service.cc
index e14767a7f8dbe51d66065e879a3f1adc4ae6934e..aa763b70401ce4a29816196e5c3b1b069222fdc5 100644
--- a/chrome/browser/sync/profile_sync_service.cc
+++ b/chrome/browser/sync/profile_sync_service.cc
@@ -1057,13 +1057,6 @@ string16 ProfileSyncService::GetLastSyncedTimeString() const {
   return TimeFormat::TimeElapsed(last_synced);
 }
 
-string16 ProfileSyncService::GetAuthenticatedUsername() const {
-  if (backend_.get() && backend_initialized_)
-    return backend_->GetAuthenticatedUsername();
-  else
-    return string16();
-}
-
 void ProfileSyncService::OnUserSubmittedAuth(
     const std::string& username, const std::string& password,
     const std::string& captcha, const std::string& access_code) {