Basic Uniform Commercial Code
Proceeds are what arise out of the disposition of property. The definition is meant to be broad.
To have a claim the proceeds from the sale of collateral, you have to have had an interest in the collateral and then be able to identify (prove) the proceeds. You don't have to specifically contract for proceeds anymore. You stay attached. UCC § 9-203, UCC § 9-315.
You are perfected in proceeds if you are perfected in the original property. UCC § 9-315(c). It will then become unperfected in 21 days unless it is cash proceeds or unless, like in a trade-in, a financial statement has been filed (then it lasts as long as the filing statement). UCC § 9-315(d)–(e).
If more than one claimant exists, you must have priority.