  Our model calculations performed in the frame of the Relativistic Mean Field
(RMF) approach show how important are the modifications of nucleon Structure
Function (SF) in Nuclear Matter (NM) above the saturation point. They
originated from the conservation of a parton longitudinal momenta - essential
in the explanation of the EMC effect at the saturation point of NM. For higher
density the finite pressure corrections emerge from the Hugenholtz -van Hove
(HH) theorem valid for NM and asks to modify the nucleon SF. The density
evolution of the nuclear SF seems to be stronger for higher densities. Here we
show that the course of Equation o State (EoS) in our modified Walecka model is
very close to that obtained from extensive DBHF calculations with a Bonn A
potential. The nuclear compressibility decreases. Our model - a nonlinear
extension of nuclear RMF, has no additional parameters.
