closet vs supply closet

closet and supply closet both are nouns.

Word	Noun	Adjective	Verb	Adverb
closet	Yes	No	Yes	No
supply closet	Yes	No	No	No

As nouns, supply closet is a hyponym of closet; that is, supply closet is a word with a more specific, narrower meaning than closet:

Other hyponyms of closet include airing cupboard, broom closet, safe.

closet (noun)	supply closet (noun)
a small private room for study or prayer	a closet for storing supplies
a toilet in Britain
a tall piece of furniture that provides storage space for clothes; has a door and rails or hooks for hanging clothes
a small room (or recess) or cabinet used for storage space

closet (verb)	supply closet (verb)
confine to a small space, as for intensive work