remain firm vs hold out

remain firm and hold out both are verbs.

Word	Noun	Adjective	Verb	Adverb
remain firm	No	No	Yes	No
hold out	No	No	Yes	No

As verbs, hold out is a hypernym of remain firm; that is, hold out is a word with a broader meaning than remain firm:

remain firm: hold one's ground; maintain a position; be steadfast or upright
hold out: stand up or offer resistance to somebody or something

Other hypernyms of remain firm include resist, stand firm, withstand.

remain firm (verb)	hold out (verb)
hold one's ground; maintain a position; be steadfast or upright	thrust or extend out
	stand up or offer resistance to somebody or something
	continue to live and avoid dying
	last and be usable
	wait uncompromisingly for something desirable