rightfulness vs justice

rightfulness and justice both are nouns.

Word	Noun	Adjective	Verb	Adverb
rightfulness	Yes	No	No	No
justice	Yes	No	No	No

As nouns, justice is a hypernym of rightfulness; that is, justice is a word with a broader meaning than rightfulness:

Other hypernyms of rightfulness include justness.

rightfulness (noun)	justice (noun)
anything in accord with principles of justice	judgment involved in the determination of rights and the assignment of rewards and punishments
	the quality of being just or fair
	a public official authorized to decide questions brought before a court of justice