cavalry horse vs warhorse

cavalry horse and warhorse both are nouns.

Word	Noun	Adjective	Verb	Adverb
cavalry horse	Yes	No	No	No
warhorse	Yes	No	No	No

As nouns, warhorse is a hypernym of cavalry horse; that is, warhorse is a word with a broader meaning than cavalry horse:

cavalry horse (noun)	warhorse (noun)
horse trained for battle	horse used in war
	a work of art (composition or drama) that is part of the standard repertory but has become hackneyed from much repetition
	an experienced person who has been through many battles; someone who has given long service