Ahhh, i see. Sorry you're having to go through all this comrade. Looking at your link, i think you should be ok with disclosing it with a copy of the relavent statutes and forging the equivalent of an ESA Dr's note. Seems Cali has pretty loose requirements for ESAs.
That being said, if it gets a roof over your head, lie to the fuckers. You & yours having shelter matter more than hypothetical a lease violation later.