repose on vs rest on

repose on and rest on both are verbs.

Word	Noun	Adjective	Verb	Adverb
repose on	No	No	Yes	No
rest on	No	No	Yes	No

As verbs, repose on and rest on are synonyms defined as:

Other synonyms of repose on include build on, build upon.

repose on (verb)	rest on (verb)
use as a basis for theories and claims	rest on for support
	use as a basis for theories and claims