Corollary 5.4.6.14. Let $\operatorname{\mathcal{C}}$ be a simplicial set. Then there is a least uncountable cardinal $\kappa $ for which $\operatorname{\mathcal{C}}$ is essentially $\kappa $-small. Moreover, $\kappa $ is always a successor cardinal.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$