  We study feebly compact topologies $\tau$ on the semilattice
$\left(\exp_n\lambda,\cap\right)$ such that $\left(\exp_n\lambda,\tau\right)$
is a semitopological semilattice and prove that for any shift-continuous
$T_1$-topology $\tau$ on $\exp_n\lambda$ the following conditions are
equivalent: $(i)$~$\tau$ is countably pracompact; $(ii)$ $\tau$ is feebly
compact; $(iii)$ $\tau$ is $d$-feebly compact; $(iv)$
$\left(\exp_n\lambda,\tau\right)$ is an $H$-closed space.
