Remark 7.6.7.10. In the situation of Proposition 7.6.7.9, we can replace $(2)$ by either of the following a priori weaker conditions:
- $(2')$
The $\infty $-category $\operatorname{\mathcal{C}}$ admits pullbacks.
- $(2'')$
The $\infty $-category $\operatorname{\mathcal{C}}$ admits equalizers.