Example 11.9.1.10. In the special case $\operatorname{\mathcal{C}}= \Delta ^0$, Proposition 11.9.1.9 reduces to the assertion that the map
\[ \operatorname{Cospan}^{ \widetilde{L}, \widetilde{R}}( \operatorname{Fun}( \Delta ^1, \operatorname{\mathcal{E}}) ) \rightarrow \operatorname{Cospan}^{\mathrm{iso}, \mathrm{all}}(\operatorname{\mathcal{E}}) \times \operatorname{Cospan}^{\mathrm{all}, \mathrm{iso}}(\operatorname{\mathcal{E}}) \]
is a balanced coupling of $\infty $-categories, which is the content of Proposition 11.9.1.1.