speak of the devil vs bring up

speak of the devil and bring up both are verbs.

Word	Noun	Adjective	Verb	Adverb
speak of the devil	No	No	Yes	No
bring up	No	No	Yes	No

As verbs, bring up is a hypernym of speak of the devil; that is, bring up is a word with a broader meaning than speak of the devil:

Other hypernyms of speak of the devil include advert, cite, mention, name, refer.

speak of the devil (verb)	bring up (verb)
mention someone's name who just then appears	cause to load (an operating system) and start the initial processes
	make reference to
	put forward for consideration or discussion
	summon into action or bring into existence, often as if by magic
	raise from a lower to a higher position
	cause to come to a sudden stop
	look after a child until it is an adult
	promote from a lower position or rank