  We study the impact of the lattice data on the determination of the
strangeness asymmetry distribution $s_-(x) \equiv s(x) - {\bar s}(x)$ in the
general CTEQ-TEA global analysis of parton distribution functions (PDFs) of the
proton. Firstly, we find that allowing a non-vanishing $s_-(x)$, at the initial
$Q_0=1.3$ GeV scale, in a global PDF analysis leads to the quality of the
CT18As fit similar to CT18A. Secondly, including the lattice data in the
CT18As\_Lat fit greatly reduces the $s_-$-PDF error band size in the large $x$
region. To further reduce its error would require more precise lattice data,
extended to smaller $x$ values.
