Is Paul Prohibiting Women Teaching and Exercise Authority Over Men?

Paul could be saying these women and F is this should not teach or exercise authority over men. That would be enough to say, look, I don't care what you're teaching, we need to shut this down. The word for gar in the Greek oftentimes does give a reason for what was previously said. But that doesn't just refute any commentary in reading, but it does lessen the kind of theological connection between the created order and Paul's prohibition.