egality vs equivalence

egality and equivalence both are nouns.

Word	Noun	Adjective	Verb	Adverb
egality	Yes	No	No	No
equivalence	Yes	No	No	No

As nouns, equivalence is a hypernym of egality; that is, equivalence is a word with a broader meaning than egality:

egality: social and political equality
equivalence: a state of being essentially equal or equivalent; equally balanced

Other hypernyms of egality include equality, equation, par.

egality (noun)	equivalence (noun)
social and political equality	qualities that are comparable
	essential equality and interchangeability
	a state of being essentially equal or equivalent; equally balanced