2016 New York Laws
RPP - Real Property
Article 7 - (Real Property) Landlord and Tenant
226 - Effect of renewal on sub-lease.

 226. Effect of renewal on sub-lease. The surrender of an under-lease
  is not requisite to the validity of the surrender of the original lease,
  where  a  new lease is given by the chief landlord. Such a surrender and
  renewal do not impair any right or interest of the chief  landlord,  his
  lessee  or  the  holder  of  an  under-lease,  under the original lease;
  including the chief landlord's remedy by entry, for the rent  or  duties
  secured  by the new lease, not exceeding the rent and duties reserved in
  the original lease surrendered.