Definition 89.7.3. Let $p : \mathcal{F} \to \mathcal{C}_\Lambda $ be a category cofibered in groupoids. The category cofibered in groupoids $\widehat{p} : \widehat{\mathcal F} \to \widehat{\mathcal{C}}_\Lambda $ is called the *completion of $\mathcal{F}$*.

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