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We give a very short proof that determinantal point processes have a trivialtail $\sigma$-field. This conjecture of the author has been proved by Osada andOsada as well as by Bufetov, Qiu, and Shamov. The former set of authors reliedon the earlier result of the present author that the conjecture held in thediscrete case, as does the present short proof.

A Note on Tail Triviality for Determinantal Point Processes