You might also want to read "Amended Settlement in Klee v. Nissan" http://www.mynissanleaf.com/viewtopic.php?f=27&t=18905&hilit=klee
It's 49 pages, so you might want to start somewhere towards the end, but the basic facts are as noted, 5 years from the "in service" date of the vehicle OR 60,000 miles, as indicated on the odometer. It has further been established that 5 years and two days, or 60,002 miles, is NOT within the warranty period, and should you encounter such circumstances your success with Nissan is questionable.
The general consensus is that the settlement actually ended up being extremely unfair to early adopters, as the warranty was not prorated, but should have been for some period extending the agreed upon limits, and incredibly the court was gullible enough to accept Nissan's promise of "about 70% remaining capacity" being eight capacity bars remaining, where Nissan determines the algorithm for the capacity bars, and when in fact "about 70%" to Nissan means somewhere around 62% or 63%. It is my understanding that the settlement makes no requirement of the ridiculous "annual battery check" which Nissan had originally implemented, with the first two or three being free, and after that customers were required to pay. I will tell you that I was seven capacity bars down, five remaining, and my "annual battery check" remained at 5 stars for every category. The people at the Nissan dealership were so confused by this that they had to call Nissan and verify it.
Also, one last point of contention is the "in service" date, which in general is the purchase date, but can be, for dealership demos, the date the dealership put the LEAF into service. It is important to verify this date, as previously mentioned even a day or two can be a $6K dollar penalty. In my case, Nissan customer service basically refused to verify it, and I ultimately had to file a BBB case just to find out. But I did end up getting the battery replaced under warranty, at 59,988 miles.