  In hadron-nucleus interactions, the stronger is nuclear shadowing in the
total cross section the higher is the multiplicity of secondary hadrons. In
deep inelastic scattering, nuclear shadowing at small $x$ is associated with
the hadronlike behaviour of photons as contrasted to the pointlike behaviour in
the non-shadowing region of large $x$. In this paper we predict smaller mean
multiplicity of secondary hadrons, and weaker fragmentation of the target
nucleus, in deep inelastic leptoptoproduction on nuclei in the shadowing region
of small $x$ as compared to the non-shadowing region of large $x$. This
paradoxial conclusion has its origin in nuclear enhancement of the coherent
diffraction dissociation of photons. We present numerical predictions for
multiproduction in $\mu Xe$ interactions studied by the Fermilab E665
collaboration.
