Lemma 94.14.9. Up to a replacement as in Stacks, Remark 8.4.9 the functor

defines a stack in groupoids over $(\mathit{Sch}/S)_{fppf}$.

Lemma 94.14.9. Up to a replacement as in Stacks, Remark 8.4.9 the functor

\[ p : G\textit{-Torsors} \longrightarrow (\mathit{Sch}/S)_{fppf} \]

defines a stack in groupoids over $(\mathit{Sch}/S)_{fppf}$.

**Proof.**
The most difficult part of the proof is to show that we have descent for objects, which is Bootstrap, Lemma 79.11.8. We omit the proof of axioms (1) and (2) of Stacks, Definition 8.5.1.
$\square$

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