Lemma 84.27.5. Let $f : X \to S$ be a morphism of schemes. The construction

\[ \begin{matrix} \text{category of cartesian }
\\ \text{schemes over } (X/S)_\bullet
\end{matrix} \longrightarrow \begin{matrix} \text{ category of descent data}
\\ \text{ relative to } X/S
\end{matrix} \]

of Lemma 84.27.4 is an equivalence of categories.

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