proximity vs locality

proximity and locality both are nouns.

Word	Noun	Adjective	Verb	Adverb
proximity	Yes	No	No	No
locality	Yes	No	No	No

As nouns, locality is a hypernym of proximity; that is, locality is a word with a broader meaning than proximity:

Other hypernyms of proximity include neck of the woods, neighborhood, neighbourhood, vicinity.

proximity (noun)	locality (noun)
the property of being close together	a surrounding or nearby region
a Gestalt principle of organization holding that (other things being equal) objects or events that are near to one another (in space or time) are perceived as belonging together as a unit
the region close around a person or thing