Were you aware of the Protecting Tenants at Foreclosure Act--it may apply to your situation.
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I agree. You state you are a tenant. You are therefore entitled to a 90 day notice to terminate tenancy before the bank can move forward. If they have already filed the eviction and 90 days have not passed, you will have a complete defense to the unlawful detainer action. What the bank will usually do is file a complaint against the former owner, along with a prejudgment claim of right to possession. Fill out the prejudgment claim and file an answer. Appear at court with a copy of your rental agreement and some manner of proof of your residency, like a driver's license. Unless the Judge phones it in, judgment will enter in your favor.
Now with that said, from the document you have produced it appears that judgment may have already entered. If that is the case, SEEK LEGAL ADVICE IMMEDIATELY from someone who does this for a living.
A proper response would require a thorough investigation into the history and background of this relationship. The information provided above is just that, information, to be used as you see fit.