Adjoint functor theorems for homotopically enriched categories

We prove an adjoint functor theorem in the setting of categories enriched a monoidal model category $\mathcal V$ admitting certain limits. When is equipped with trivial structure this recaptures version Freyd's theorem. For non-trivial structures, we obtain new theorems homotopical flavour - particular, when simplical sets appropriate to $\infty$-cosmoi Riehl and Verity. also investigate accessibility setting, particular obtaining cocompleteness results for accessible $\infty$-cosmoi.