[en] Inelastic diffraction scattering on nuclei is treated in the eigen-state method (ESM), correctly describing the space-time picture of the interaction. It is shown that ESM is equivalent to the multiple scattering model (MSM) which takes into account all possible intermediate states. In the quark-parton version of ESM it has been found out the inelastic diffractive amplitude has the opposite sign to the elastic one. This leads to the abnormal sign of some terms in MSM-antishadowing phenomenon. The data on the pd → xd reaction clearly confirm this conclusion. The ignoring of the antishadowing corrections is a reason of the diminishing values of the absorbtion cross sections obtained for hadrons diffractivelly producted in nuclei