Lemma 84.2.2. Let $X$ be a simplicial space. There is an equivalence of categories between

$\mathop{\mathit{Sh}}\nolimits (X_{Zar})$, and

category of systems $(\mathcal{F}_ n, \mathcal{F}(\varphi ))$ described above.

Lemma 84.2.2. Let $X$ be a simplicial space. There is an equivalence of categories between

$\mathop{\mathit{Sh}}\nolimits (X_{Zar})$, and

category of systems $(\mathcal{F}_ n, \mathcal{F}(\varphi ))$ described above.

**Proof.**
See discussion above.
$\square$

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