Owners must use this form to offer a renewal lease to their rent stabilized tenants living in the City of Kingston, or Westchester, Nassau, or Rockland county. Sublet. To sublet means that the tenant is temporarily leaving the apartment and therefore is transferring less than the entire interest in the apartment.To sublet means that the tenant is temporarily leaving the apartment and therefore is transferring less than the entire interest in the apart- ment. A sublease is a binding contract, and all of the same lease rules and rental laws apply to everyone involved as with a regular lease. The landlord chooses whether or not to allow this type of agreement. "Project Facility" shall have the meaning assigned to such term in the recitals to this. Lease. This. 20 notice, which your landlord is required to fill out and give to you,. 21 does not constitute legal advice. You can lease your apartment to another person. If you will be returning to live in your apartment after the other person leaves, this is called a sublease.