Definition 89.22.2. Let $(U, R, s, t, c)$ be a groupoid in functors on $\mathcal{C}_\Lambda $. The *completion $(U, R, s, t, c)^{\wedge }$ of $(U, R, s, t, c)$* is the groupoid in functors $(\widehat{U}, \widehat{R}, \widehat{s}, \widehat{t}, \widehat{c})$ on $\widehat{\mathcal{C}}_\Lambda $ described above.

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