Is ORDER BY in sub-query preserved when outer query is only projection?

Hi.
 
I have this query:
 
SELECT q.* FROM (
  SELECT comp.id, comp.name
  FROM company comp JOIN req r ON r.company_id = comp.id
  ORDER BY LOWER(comp.name) ASC
) AS q
ORDER BY r.status ASC
 
What I'm trying to do here is to order by some status (which may be only 1 of
3 values, for instance OPEN, IN_PROGRESS, CLOSED), then order by company-name
so I get results for each status sorted by company-name.
 
Is this kind of sort stable, can I assume the pre-sorted result's order is
preserved so I achieve what I want?
 
Thanks.
 
-- Andreas Joseph Krogh
CTO / Partner - Visena AS
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