  The Goldstone equivalence theorem allows one to relate scattering amplitudes
of massive gauge fields to those of scalar fields in the limit of large
scattering energies. We generalize this theorem under the framework of the
AdS/CFT correspondence. First, we obtain an expression of the equivalence
theorem in terms of correlation functions of creation and annihilation
operators by using an AdS wave function approach to the AdS/CFT dictionary. It
is shown that the divergence of the non-conserved conformal current dual to the
bulk gauge field is approximately primary when computing correlators for
theories in which the masses of all the exchanged particles are sufficiently
large. The results are then generalized to higher spin fields.
  We then go on to generalize the theorem using conformal blocks in two and
four-dimensional CFTs. We show that when the scaling dimensions of the
exchanged operators are large compared to both their spins and the dimension of
the current, the conformal blocks satisfy an equivalence theorem.
