conjunction
and yet; despite that
Used to connect two clauses where the second contradicts or is unexpected given the first. Similar to それなのに but slightly more formal and often used in written language.
彼はとても忙しい。それでいて、いつも笑顔を絶やさない。
He is very busy. And yet, he never loses his smile.
この店の料
The food at this restaurant is cheap. Despite that, it's very delicious.