Example 8.7.3.12. Let $\kappa $ be a regular cardinal and let $\lambda $ be an uncountable cardinal of exponential cofinality $\geq \kappa $. If $\operatorname{\mathcal{C}}$ is a locally $\lambda $-small $\infty $-category, then the $\kappa $-cocompletion of $\operatorname{\mathcal{C}}$ is also locally $\lambda $-small.
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