Be aware that the CARB
Be aware that the CARB warranty covers based on where the vehicle is sold and registered, not the location the work is being done. The former service manager at the dealer in Flagstaff Arizona denied that there was a 150k warranty when my Aunt's (California) Prius battery died at 100k while on a road trip. We did later pursue and get a refund on the repair from Toyota (with the assistance of the current service manager, who helped work to make it right). If you have been charged for a battery replacement that should have been under CARB it's worth the time & effort to get the $3k+ back.
If you didn't save your receipts it should be sufficient to prove ownership at time of repair. Toyota has a record of the serial # of the battery, VIN, mileage & date of the replacement in order to enforce the warranty on the new battery, and the dealer has a record of what they charged you.