It depends on the stereotype. eg Men are generally stronger than women - but a woman can be stronger than a man. The only thing one gender can do that another cannot is that women give birth. And even then, in seahorses, the male is impregnanted and gives birth.

"Men's work" and "women's work" are stereotypes I would like to challenge. I take out the rubbish. DH washes the pots. Neither job requires gender. I don't need someone to open a door for me, but I'm grateful when they do. Just as they are grateful when I hold a door open for them. I'm raising DS to show consideration for others - which includes opening doors for other people. Not because others cannot, but because taking a second of your life to be kind can sometimes mean a lot to someone else.