remain firm vs stand firm

remain firm and stand firm both are verbs.

Word	Noun	Adjective	Verb	Adverb
remain firm	No	No	Yes	No
stand firm	No	No	Yes	No

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

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

Other hypernyms of remain firm include hold out, resist, withstand.

remain firm (verb)	stand firm (verb)
hold one's ground; maintain a position; be steadfast or upright	refuse to abandon one's opinion or belief
	stand up or offer resistance to somebody or something