I have said this before, but I think I am going to say it again:
The only actually meaningful notion of equality is Equality of Outcomes.
Right wing pundits spend a loooooooot of time railing against Equality of Outcomes, but I think it is clear this is simply because they (and their employers) do not want a meaningful notion of equality.
Let's say you have equality of the sexes, but women consistently end up with a paycheck that's 8% lower than that of male counterparts, and - say - a significant underrepresentation in the upper echelons of companies.
In any meaningful sense, this means that there is not equality of the sexes.
I am having a hard time explaining this, because it's so goddamn blatantly obvious, and explaining the obvious is always a bit weird, you know?
Another example, let's say your society doesn't have racist inequality, but black communities in your society strongly tend to be less wealthy than comparable white communities, and underserved by all public services, then your society is not in fact without racist inequality.
It really is that simple.