fall out vs emerge

fall out and emerge both are verbs.

Word	Noun	Adjective	Verb	Adverb
fall out	No	No	Yes	No
emerge	No	No	Yes	No

As verbs, emerge is a hypernym of fall out; that is, emerge is a word with a broader meaning than fall out:

Other hypernyms of fall out include come forth, come out, egress, go forth, issue.

fall out (verb)	emerge (verb)
come to pass	come out into view, as from concealment
have a breach in relations	become known or apparent
drop out	come out of
leave (a barracks) in order to take a place in a military formation, or leave a military formation	come up to the surface of or rise
come as a logical consequence; follow logically	happen or occur as a result of something