pate de foie gras vs pate

pate de foie gras and pate both are nouns.

Word	Noun	Adjective	Verb	Adverb
pate de foie gras	Yes	No	No	No
pate	Yes	No	No	No

As nouns, pate is a hypernym of pate de foie gras; that is, pate is a word with a broader meaning than pate de foie gras:

pate de foie gras: a pate made from goose liver (marinated in Cognac) and truffles
pate: liver or meat or fowl finely minced or ground and variously seasoned

pate de foie gras (noun)	pate (noun)
a pate made from goose liver (marinated in Cognac) and truffles	liver or meat or fowl finely minced or ground and variously seasoned
	the top of the head