I agree - I'm interested too, Manyanamanyana!
Just because there are laws on a statute books saying that men and women should be treated equally doesn't magically make sexism go away.
In fact, the rise of the trans movement has shown how easy it is for men to subvert those laws: men claiming to be women destroys the definition of the two sex-based legal categories and makes a nonsense of sex equality legislation.
Re-interpreting 'sex equality' in law as 'gender equality' makes it about something other than equality between men and women.
But even if there were rock-solid laws that made discrimination against women illegal - how is that lived on a daily basis? Does sexual harassment, child sexual abuse, violence against women, rape, femicide, etc disappear in countries with strong anti-discrimination laws?
Clearly not.
I don't have a perfect definition of 'the patriarchy', it's not a word I use because I think it sounds a bit cartoon-ish, but if pushed to use the term, I'd say it is the thing that ensures the continuation of sexual harassment, child sexual abuse, violence against women, rape, femicide, etc even in countries where 'in law men and women now have equal rights that are well established'.
Furthermore, 'it' is the rocket fuel that continues these attitudes/actions/crimes against women in all cultures, all socio-economic groups, all social classes.
Economic equality would be a good thing in and of itself, but there's no reason to believe that getting rid of economic inequality will make sexism disappear.
The 'stupid women's libbers were asking for it, got what they deserved, and are whinging how' attitude is just one of many lines of attack that just keep coming, time after time, because whatever else 'the patriarchy' is, it sure is persistent, it keeps coming up with new lines of attack to keep women 'in our place'.