Warning 4.8.3.7.. The functor $F: \operatorname{\mathcal{C}}\rightarrow \operatorname{cosk}_{n}^{\circ }(\operatorname{\mathcal{C}})$ is generally not an isofibration in the case $n = 0$.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$
Warning 4.8.3.7.. The functor $F: \operatorname{\mathcal{C}}\rightarrow \operatorname{cosk}_{n}^{\circ }(\operatorname{\mathcal{C}})$ is generally not an isofibration in the case $n = 0$.