Is Aaron's miter like the woman's head covering in the church?

What is the relationship of Aarons mitre with the coverings of 1 Corinthians 11?

The teaching of I Corinthians 11:2-16 seems to be more a contrast than a comparison. Headship is the core truth of the passage and is distinguished from lordship. Picturing a body, headship points downward from the head and involves the responsibility of the head for the body. God has established an order in which the head takes care of the body. Lordship is complementary to this and points upward to the head. Lordship indicates the responsibility of the body to the head. The body acknowledges this order by subjection. Authority is linked with lordship, administration with headship. Colossian truth is that He is the head of the Body ("looking from the head down") and is therefore the source of our completeness (Colossian 1:18; 2:10, 19). Ephesian truth is that we are in the Body ("looking from the body up") and are responsible to one another and to the Lord (Ephesians 5:21, 22).

Second, two spheres of headship are on display in the head coverings in 1 Corinthians 11: Christ is head of the man; man is head of the woman (verse 3). The temporary covering on the head of the woman and the lack of a covering on the head of the man expresses Christs headship of the man. The short hair of the man and the long hair of the woman express mans headship of the woman. The first sphere of headship requires incarnation and redemption. The second dates from creation (not the Fall).

Interpreting Aarons head covering in light of 1 Corinthians 1 seems to confuse the issue therefore, since headship is not related to subjection to authority and the covered head displays a New Testament headship.

D. Oliver