ind object as filtered colimit

Let \(\kappa\) be a regular cardinal, \(\mathcal{C}\) a small infinity category, \(\mathcal{P}(\mathcal{C})\) the infinity presheaf category and \(\mathcal{F} \in \mathcal{P}(\mathcal{C})\) a infinity presheaf.

TFAE:

1. \(\mathcal{F}\) is an infinity ind object
   
2. \(\mathcal{F}\) is a filtered colimit of representables
   

follows from my chosen definition

• I might change the definition in the future :/