public prosecutor vs lawyer

public prosecutor and lawyer both are nouns.

Word	Noun	Adjective	Verb	Adverb
public prosecutor	Yes	No	No	No
lawyer	Yes	No	No	No

As nouns, lawyer is a hypernym of public prosecutor; that is, lawyer is a word with a broader meaning than public prosecutor:

public prosecutor: a government official who conducts criminal prosecutions on behalf of the state
lawyer: a professional person authorized to practice law; conducts lawsuits or gives legal advice

Other hypernyms of public prosecutor include attorney, functionary, official.

public prosecutor (noun)	lawyer (noun)
a government official who conducts criminal prosecutions on behalf of the state	a professional person authorized to practice law; conducts lawsuits or gives legal advice