Regarding these verses (34-35) we are first told. 31 For ye may all prophesy one by one, that all may learn, and all may be comforted. 32 And the spirits of the prophets are subject to the prophets.33 For God is not the author of confusion, but of peace, as in all churches of the saints.
That all may prophecy means that women can prophesy as well. This is the rule Paul gave from God for all the churches of the saints. Then Paul would show the rules they had that would be refuted to confirm this truth. It is one of Paul’s tells as I explained earlier. That others also recognize this truth can be found in:
Pool’s notes: Ver. 34. "This rule must be restrained to ordinary prophesyings; for certainly, if the Spirit of prophecy came upon a woman in the church, she might speak. Anna, who was a prophetess, in the temple gave thanks to the Lord, and spake of him to all them that looked for redemption in Jerusalem, #Lu 2:38: and I cannot tell how Philip’s daughters prophesied, if they did not speak in the presence of many, #Ac 21:9."
Peoples New Testament: Let the women keep silence in the churches. This, in view of other portions of the Scriptures, is confessedly a difficult passage. In #1Ti 2:11,12, we have the same teaching. On the other hand, Deborah was a judge and a prophetess [#Jud 4:4]; Huldah was a prophetess [#1Ki 22:14]; Joel predicted that in the Christian dispensation "the sons and daughters should prophesy" (#Joe 2:28), and Peter declared that this was fulfilled on the Day of Pentecost (#Ac 2:4). In addition, the daughters of Philip prophesied (#Ac 21:9), and in #1Co 11:5, Paul gives directions concerning women prophesying.
In-spite of all this they still hated the idea that women were equal to men and tried to work around this truth that Paul was teaching them. They all seem to ignore the "What" he said to them and the dressing down that resulted. No wonder some wanted to move it out of the way.
Joseph