For any countable index category $\mathcal{I}$ and any functor $F : \mathcal{I} \to \mathit{Sch}_\alpha $, the colimit $\mathop{\mathrm{colim}}\nolimits _\mathcal {I} F$ exists in $\mathit{Sch}_\alpha $ if and only if it exists in $\mathit{Sch}$ and moreover, in this case, the natural morphism between them is an isomorphism.
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