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.
New York Legal Code