Josh Brolin and Diane Lane -- Divorce Final ... Gimme My Name Back!

Josh Brolin and Diane Lane are officially divorced ... this according to court documents obtained by TMZ ... and it's clear, Diane is looking to get her old identity back.

Lane -- who recently appeared in "Man of Steel" -- initially filed the divorce docs back in February, seeking to end the marriage that began in 2004. Lane had cited "irreconcilable differences" for the split.

The docs, filed November 27 in L.A. County Superior Court, show that Diane and Josh have some sort of private financial arrangement ... and she's checked the box to NOT seek spousal support outside of their arrangement.

Diane -- who legally went by Diane Lane Brolin -- also restored her last name to just Diane Lane.

Child support won't be an issue -- 'cause the couple has no children together.

As for Brolin, the "No Country for Old Men" actor is currently in rehab after several drunken incidents last month. He recently told TMZ he's swearing off booze for good.