  For each pair of lax-idempotent pseudomonads $R$ and $I$, for which $I$ is
locally fully faithful and $R$ distributes over $I$, we establish an adjoint
functor theorem, relating $R$-cocontinuity to adjointness relative to $I$. This
provides a new perspective on the nature of adjoint functor theorems, which may
be seen as methods to decompose adjointness into cocontinuity and relative
adjointness. As special cases, we recover variants of the adjoint functor
theorem of Freyd, the multiadjoint functor theorem of Diers, and the
pluriadjoint functor theorem of Solian--Viswanathan, as well as the adjoint
functor theorems for locally presentable categories. More generally, we recover
enriched $\Phi$-adjoint functor theorems for weakly sound classes of weight
$\Phi$.
