  We study the temperature dependence of single-particle and pair coherent
condensate densities for a Bose liquid with a "depleted" single-particle
Bose-Einstein condensate (BEC) at $T \neq 0$. Our investigations were based on
the field-theoretical Green's functions. On the basis of the use of empirical
data about the speeds of the first and second sounds is described superfluid
state at $T \neq 0$. It is studied the structure of superfluid state taking
into account appearance with the different from zero temperatures of normal
component and taking into account the branch of the second sound, whose speed
approaches zero at $T \to T_\lambda$. The bare interaction between bosons was
chosen in the form of a repulsive Azis potential, the Fourier component of
which was an oscillatory and sign-varying function of the momentum. The
obtained temperature dependence of single-particle and pair coherent condensate
and total densities has a good agreement with experiment data.
