The downstream outlets also have to be labeled 'GFCI Protected'
There are usually labels to that effect in a new GFCI package.
Caution on adding more than a few downstream outlets to a single GFCI because of the increased possibility of nuisance tripping due to long runs especially in wet locations. GFCI's are still cheap and it is always easier to isolate a GFCI tripping problem when individual GFCI's are used in an area.
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