vainglory vs conceit

vainglory and conceit both are nouns.

Word	Noun	Adjective	Verb	Adverb
vainglory	Yes	No	No	No
conceit	Yes	No	No	No

As nouns, conceit is a hypernym of vainglory; that is, conceit is a word with a broader meaning than vainglory:

Other hypernyms of vainglory include conceitedness, vanity.

vainglory (noun)	conceit (noun)
outspoken conceit	the trait of being unduly vain and conceited; false pride
	a witty or ingenious turn of phrase
	an artistic device or effect
	an elaborate poetic image or a far-fetched comparison of very dissimilar things
	feelings of excessive pride