Like any other contract, a lease cannot be changed in the middle of the lease term unless both parties agree. A sublease is an agreement where someone takes over part or all of an existing lease.This type of lease involves at least three parties. Texas law gives the landlord or the tenant the explicit right to end a lease early in a few specific circumstances. During any Early Occupancy, Tenant shall be subject to all of the terms and conditions of this Lease, except that Tenant shall not be obligated to pay Rent. Take over a used car lease. No money down leases! A Texas lease agreement is a contract that grants a tenant the right to occupy a residential or commercial property in exchange for the payment of rent. Any Make, Any Model. Any references to "Tenant" in the Master Lease shall be deemed references to the Subtenant.