Where a redemption is made, as prescribed in this article, the rights of the person redeeming are subject to a lease, if any, executed by the petitioner since the warrant was issued, so far that the new lessee, his assigns, undertenants, or other representatives, upon complying with the terms of the lease, may hold the premises so leased until twelve o'clock, noon, of the first day of May next succeeding the redemption. And in all other respects, the person so redeeming, his assigns and representatives succeed to all the rights and liabilities of the petitioner under such a lease.
New York Legal Code