What is a lease granted by a tenant or lessee; especially, a lease granted by one who is himself a lessee for years, for any fewer or less number of years than he himself holds; a sublease. Burrill called?

underlease — A lease granted by a tenant or lessee; especially, a lease granted by one who is himself a lessee for years, for any fewer or less number of years than he himself holds; a sublease. Burrill. (Webster's 1913.)