In the daily life of a working mathematician which direction of the adjoint functor theorem is more useful? Unpacking, does one find it more useful to:
a) prove that a functor admits an adjoint and conclude that it preserves limits/colimits,
OR
b) prove that a functor preserves limits/colimits and conclude that it admits an adjoint?
I guess I should also include a third option:
c) neither a) nor b) is true in general, it really depends on what part of math you work in.