Simply speaking, cattle is a general term for high-quality Japanese cattle, and Kobe cattle is one of the beef among the cattle, which is more expensive, fatter and tender. Better than it are Matsuban cattle and near-river cattle.
Not all beef cattle are Kobe beef grade.
It is a common misunderstanding that all Kobe beef is beef. In fact, only 0.06% of beef eaten in Japan has Kobe certification, and only 3,000 cows are determined to be Kobe grade. And cattle are named after the areas where cattle are raised. Good first frost and cattle are produced in Matsuzaka, Kobe and near the river.