  We prove in two ways that, for a special class of nonlocal field theories
consistent with linear and non-linear stability at the classical level, and
with unitarity and super-renormalizability or finiteness at the quantum level,
the $n$-point tree-level scattering amplitudes are the same as those of the
underlying local theory. In particular, the $n$-point amplitudes of nonlocal
gravity, with or without coupling to matter, are the same as for Einstein's
general relativity.
