Corollary 7.6.4.25. Let $\operatorname{\mathcal{C}}$ be an $\infty $-category. Then $\operatorname{\mathcal{C}}$ admits finite limits if and only if it admits finite products and equalizers. If these conditions are satisfied, then a functor $F: \operatorname{\mathcal{C}}\rightarrow \operatorname{\mathcal{D}}$ preserves finite limits if and only if it preseves finite products and equalizers.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$