Schreiner points 2-4: 'ought' implies obligation not freedom; vv.3-9 clearly about male headship; v.11 is a contrast

Point 2: The word 'ought' (opheilei) communicates obligation, not freedom -- odd if it's about a woman's right she already possesses. Point 3: Verses 3-9 make abundantly clear Paul wants coverings in relation to male headship. Point 4: Verse 11's 'however' is a contrast -- if v.10 affirmed women's high authority, there's nothing to contrast.