The Stacks project

Definition 90.22.1. A groupoid in functors on $\mathcal{C}_\Lambda $ is prorepresentable if it is isomorphic to $(\underline{R_0}, \underline{R_1}, s, t, c)|_{\mathcal{C}_\Lambda }$ for some representable groupoid in functors $(\underline{R_0}, \underline{R_1}, s, t, c)$ on the category $\widehat{\mathcal{C}}_\Lambda $.

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View Definition 90.22.1 as pdf