state of war vs enmity

state of war and enmity both are nouns.

Word	Noun	Adjective	Verb	Adverb
state of war	Yes	No	No	No
enmity	Yes	No	No	No

As nouns, enmity is a hypernym of state of war; that is, enmity is a word with a broader meaning than state of war:

state of war: a legal state created by a declaration of war and ended by official declaration during which the international rules of war apply
enmity: a state of deep-seated ill-will

Other hypernyms of state of war include antagonism, hostility.

state of war (noun)	enmity (noun)
a legal state created by a declaration of war and ended by official declaration during which the international rules of war apply	the feeling of a hostile person
	a state of deep-seated ill-will