已弃用php $ HTTP_POST_FILES

I'm trying to correct deprecated PHP code, in this case $HTTP_POST_FILES but I am unsure if I still need to declare global i.e change global $HTTP_POST_FILES to global $_FILES I'm guessing not. Would the following re-code be correct?

Original code snippet:

function upload_doc($fieldName)
{
global $HTTP_POST_FILES;
if (isset($HTTP_POST_FILES[$fieldName]) &&
.......more stuff

Re-code:

function upload_doc($fieldName)
{
if (isset($_FILES[$fieldName]) &&
.......more stuff