Prior appropriation and riparian rules are two different legal histories for deciding who may use surface water. Riparian doctrine grew where water was treated as an incident of owning land along a stream, and appropriation grew where people claimed scarce water by diverting it and putting it to use, in order of time. The opening covers riparian rights follow the bank, appropriation ranks users by time, and western ditches can leave the stream.
The rest of the brief — the later sections and the reading notes — opens after Stripe confirms payment.