Definition 103.7.1. Let $\mathcal{X}$ be an algebraic stack and let $\mathcal{F}$ in $\textit{Mod}(\mathcal{X}_{\acute{e}tale}, \mathcal{O}_\mathcal {X})$. We say $\mathcal{F}$ has the *flat base change property*^{1} if and only if $c_\varphi $ is an isomorphism whenever $f$ is flat.

[1] This may be nonstandard notation.

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