Lemma 8.6.2. Let $\mathcal{C}$ be a site. Under the equivalence

\[ \left\{ \begin{matrix} \text{the category of presheaves}
\\ \text{of sets over }\mathcal{C}
\end{matrix} \right\} \leftrightarrow \left\{ \begin{matrix} \text{the category of categories}
\\ \text{fibred in sets over }\mathcal{C}
\end{matrix} \right\} \]

of Categories, Lemma 4.38.6 the stacks in sets correspond precisely to the sheaves.

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