  In this note, we present an elementary proof of the fact that the slice rank
of a trilinear form over a finite field is bounded above by a linear expression
in the analytic rank. The existing proofs by Adiprasito-Kazhdan-Ziegler and
Cohen-Moshkovitz both rely on results of Derksen via geometric invariant
theory. A novel feature of our proof is that the linear forms appearing in the
slice rank decomposition are obtained from the trilinear form by fixing
coordinates.
