Corollary 6.146.

Let \(T\) be a topos and \(C\) a presentable category which is compactly assembled. Then the equivalence

\[\FunL(\Fun^{\omega}(C,\An), T) \simeq \Fun_{\omega}(C\catop,T)\]

restricts to an equivalence

\[\Fun_{\Logos}(\Fun^{\omega}(C,\An), T) \simeq \FunR(C\catop,T).\]