  In this paper, we give a method for characterizing the local Langlands
conjectures in the vein of Scholze's alternate proof of the local Langlands
conjecture for $\mathrm{GL}_n$. More specifically, we show that if a local
Langlands correspondence satisfies a Scholze--Shin equation, as in the paper of
Scholze and Shin, in addition to the usual desiderata expected of such a
correspondence then these properties uniquely characterize the correspondence.
