  We establish the consistency of the Fermi liquid description and find a
relation between Fermi liquid constants for the two dimensional electron system
near the point of full polarization due to a parallel magnetic field $H$. Our
results enable us to predict connections between different thermodynamic
properties of the system. In particular, we find that near the point of full
polarization $H_c$, the thermodynamic compressibility of the system experiences
a jump with the subleading $(H_c-H)^{1/2}$ dependence on the magnetic field.
Also, the magnetization has a cusp with the dependence of the type $(H-H_c) +
(H_c-H)^{3/2}$ at $H<H_c$.
