Situation 76.8.1. Let $S = \mathop{\mathrm{Spec}}(R)$ be an affine scheme. Let $X$ be an algebraic space over $S$. Let $u : \mathcal{F} \to \mathcal{G}$ be a map of quasi-coherent $\mathcal{O}_ X$-modules. Assume $\mathcal{G}$ flat over $S$.

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