well once the matriarchy is installed, they can always start forcing women to take those jobs.
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Not having to tell anyone about the pregnancy is a "right" (its not actually, but the state cant make you do it but that is a distinction with minor value)
there exists in no way what-so-fucking ever a right to Not tell the father about the child once born however, sadly i know of no jurisdiction that mandates that women does this (which would be trivial to do, as no rights what so ever are being trampled on).
You always have to pay child support, even if you were the one raped, i will state that again, Even if you were raped, the state can, and more fucking importantly, DO make you pay it.It might be me but if you don't tell the farther about the child how is she going to get child support? Unless the farther raped her, did horrible things in general then my guess is that their isn't a judge that will say ''you can't see the child but you have to pay child support''.
and several jurisdictions lets the woman claim child support afterwards, there was a, hilarious, case a couple of years ago that a man was made to pay 15 years worth of back child support, For a child he was never told existed.
But yeah, system is awesome, and any faults will be fixed by feminism, who protested when they changed the laws to try to fix it, badly, in that they did not go far enough to actually fix anything. (and that wasn't what they were complaining about)