The Stacks project

Lemma 18.14.4. Let $\mathcal{C}$ be a site. If $\{ p_ i\} _{i \in I}$ is a conservative family of points, then we may check exactness of a sequence of abelian sheaves on the stalks at the points $p_ i$, $i \in I$. If $\mathcal{C}$ has enough points, then exactness of a sequence of abelian sheaves may be checked on stalks.

Proof. This is immediate from Sites, Lemma 7.38.2. $\square$

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