A.T. Robertson Commentary 1 Corinthians 11:3

"But I would have you know, that the head of every man is Christ; and the head of the woman is the man; and the head of Christ is God." — 1 Corinthians 11:3 (ASV)

But I would have you know (θελω δε υμας ειδενα). But I wish you to know, censure in contrast to the praise in verse 2.

The head of Christ is God (κεφαλη του Χριστου ο θεος). Rather, God is the head of Christ, since κεφαλη is anarthrous and predicate.