Well I guess you are retired if you've stopped work and you've living off investments or something you put away when you were still working. Doesn't matter whether you're scraping by or doing well... although I'm not sure why you would choose to retire early unless you had a reasonable standard of living.
I am not sure where an inheritance comes into it? Unless you think you'll only be scraping by until you get it. But I don't think retirement comes into it unless you only retire when you get the inheritance.
If you retire first, then you're retired!