  A topologized semilattice $X$ is called complete if each non-empty chain
$C\subset X$ has $\inf C\in\bar C$ and $\sup C\in\bar C$. We prove that for any
continuous homomorphism $h:X\to Y$ from a complete topologized semilattice $X$
to a sequential Hausdorff semitopological semilattice $Y$ the image $h(X)$ is
closed in $Y$.
