John Calvin Commentary 1 Corinthians 11:8

"For the man is not of the woman; but the woman of the man:" — 1 Corinthians 11:8 (ASV)

For the man is not from the woman. He establishes by two arguments the preeminence that he assigned to men over women. The first is that because the woman derives her origin from the man, she is therefore inferior in rank. The second is that because the woman was created for the sake of the man, she is therefore subject to him, just as the work ultimately produced is to its cause. That the man is the beginning of the woman and the end for whom she was made is evident from the Law (Genesis 2:18).

It is not good for a man to be alone. Let us make for him, etc.

Furthermore, God took one of Adam’s ribs and formed Eve (Genesis 2:21–22).