come up vs move up

come up and move up both are verbs.

Word	Noun	Adjective	Verb	Adverb
come up	No	No	Yes	No
move up	No	No	Yes	No

As verbs, move up is a hypernym of come up; that is, move up is a word with a broader meaning than come up:

Other hypernyms of come up include arise, come up, go up, lift, rise, uprise.

As verbs, come up and move up are synonyms defined as:

Other synonyms of come up include arise, go up, lift, rise, uprise.

come up (verb)	move up (verb)
result or issue	move upward
start running, functioning, or operating	move to a better position in life or to a better job
gather or bring together
gather (money or other resources) together over time
bring forth, usually something desirable
come up, of celestial bodies
come to the surface
move toward, travel toward something or somebody or approach something or somebody
move upward
get something or somebody for a specific purpose
originate or come into being
be mentioned