A.T. Robertson Commentary 1 Corinthians 11:9

"for neither was the man created for the woman; but the woman for the man:" — 1 Corinthians 11:9 (ASV)

For the woman (δια την γυναικα). Because of (δια with accusative case) the woman. The record in Genesis gives the man (ανηρ) as the origin (εκ) of the woman and the reason for (δια) the creation (εκτισθη, first aorist passive of κτιζω, old verb to found, to create, to form) of woman.