market vs bull market

market and bull market both are nouns.

Word	Noun	Adjective	Verb	Adverb
market	Yes	No	Yes	No
bull market	Yes	No	No	No

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

Other hyponyms of market include bear market, the City, the Street, Wall Street, money market.

market (noun)	bull market (noun)
the world of commercial activity where goods and services are bought and sold	a market characterized by rising prices for securities
a marketplace where groceries are sold
an area in a town where a public mercantile establishment is set up
the customers for a particular product or service
the securities markets in the aggregate

market (verb)	bull market (verb)
make commercial
engage in the commercial promotion, sale, or distribution of
deal in a market
buy household supplies