admiralty law vs law of nations

admiralty law and law of nations both are nouns.

Word	Noun	Adjective	Verb	Adverb
admiralty law	Yes	No	No	No
law of nations	Yes	No	No	No

As nouns, law of nations is a hypernym of admiralty law; that is, law of nations is a word with a broader meaning than admiralty law:

admiralty law: the branch of international law that deals with territorial and international waters or with shipping or with ocean fishery etc.
law of nations: the body of laws governing relations between nations

Other hypernyms of admiralty law include international law.

admiralty law (noun)	law of nations (noun)
the branch of international law that deals with territorial and international waters or with shipping or with ocean fishery etc.	the body of laws governing relations between nations