This is what it comes down to in terms of how we actually function in society: not “what is a woman?”, but “how do you know I’m a woman?” Nobody has ever asked to inspect my gametes or chromosomes. Presentation is literally all anyone is going on.
I mean I’m a fairly femme cis woman but I don’t carry any ID on me that shows my gender. How could I *prove* I am a woman, if I had to, in a way that isn’t just “well she looks like a girl, fair enough”?