  Mellin moments of off-forward distribution functions are even polynomials of
the skewedness parameter. This constraint, called polynomiality property,
follows from Lorentz- and time-reversal invariance. We prove that the
unpolarized off-forward distribution functions in the chiral quark-soliton
model satisfy the polynomiality property. The proof is an important
contribution to the demonstration that the description of off-forward
distribution functions in the model is consistent. As a byproduct of the proof
we derive explicit model expressions for moments of the D-term and compute the
first coefficient in the Gegenbauer expansion for this term.
