Yosef Karo, Translation:Shulchan Aruch — Orach Chaim 629…
“ There are those who say that if a sukkah is properly schached and there is fear that it will the schach will dry out or leaves will fall and the sunlit area will be more than the shaded area, they spread a sheet over it so that it fall not dry out or under it so that the leaves will not fall, because the sheet ensures that the shade will be greater than the sun, it is invalid. ”
