  We investigate consistency relations for non-Gaussianity. We provide a
model-independent dynamical proof for the consistency relation of 3-point
correlation functions from the Hamiltonian and field redefinition. This
relation can be applied to single field inflation, multi-field inflation and
the curvaton scenario. This relation can also be generalized to $n$-point
correlation functions up to arbitrary order in perturbation theory and with
arbitrary number of loops.
