However this one line seems like it would be hard to prove:
They(women) were also assigned to lower-level positions and passed over for promotions, despite doing more work than their male peers in some cases
I know many people who are really good at filling out their TPS reports, and never break the rules. They don't ever get promoted, because they do so much in their current role, and since they never break the rules, they never get to be highlighted for "showing initiative." Though if the rest of it proves to be true, it would not look good.