proxy war vs state of war

proxy war and state of war both are nouns.

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

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

proxy war: a war instigated by a major power that does not itself participate
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

Other hypernyms of proxy war include war.

proxy war (noun)	state of war (noun)
a war instigated by a major power that does not itself participate	a legal state created by a declaration of war and ended by official declaration during which the international rules of war apply