mud vs mire

mud and mire both are nouns.

Word	Noun	Adjective	Verb	Adverb
mud	Yes	No	Yes	No
mire	Yes	No	Yes	No

As nouns, mire is a hyponym of mud; that is, mire is a word with a more specific, narrower meaning than mud:

Other hyponyms of mud include bleaching clay, bleaching earth, mud pie, slop.

As verbs, mud and mire are synonyms defined as:

Other synonyms of mud include muck, muck up.

mud (noun)	mire (noun)
slanderous remarks or charges	a soft wet area of low-lying land that sinks underfoot
water soaked soil; soft wet earth	a difficulty or embarrassment that is hard to extricate yourself from
	deep soft mud in water or slush

mud (verb)	mire (verb)
soil with mud, muck, or mire	soil with mud, muck, or mire
plaster with mud	be unable to move further
	cause to get stuck as if in a mire
	entrap