Depends on where you are. In my city, yes, technically if they didn't give me any notice that the rent was changing and the lease said that then I would be legally allowed to live rent free until they gave me notice, and the time required to give me notice would depend on how long I lived there. Rent stuff is always a huge huge "it depends." Even if the law was on your side they would probably sue you for the back rent and then you'd have to go to court or automatically lose. And even then I could see plenty of asshole judges going "clearly they didn't mean that" and ruling in their favor anyway.