prove vs show

prove is not a noun while show is a noun.

Word	Noun	Adjective	Verb	Adverb
prove	No	No	Yes	No
show	Yes	No	Yes	No

As verbs, prove and show are synonyms defined as:

prove and show: establish the validity of something, as by an example, explanation or experiment

Other synonyms of prove include demonstrate, establish, shew.

As verbs, show is a hypernym of prove; that is, show is a word with a broader meaning than prove:

prove: prove formally; demonstrate by a mathematical, formal proof
show: establish the validity of something, as by an example, explanation or experiment

Other hypernyms of prove include demonstrate, establish, prove, shew.

As verbs, prove and show are synonyms defined as:

Other synonyms of prove include bear witness, evidence, testify.

prove (noun)	show (noun)
	an act or social event involving a public performance or entertainment
	pretending that something is the case in order to make a good impression
	something intended to communicate a particular impression

prove (verb)	show (verb)
establish the validity of something, as by an example, explanation or experiment	establish the validity of something, as by an example, explanation or experiment
obtain probate of	provide evidence for
prove formally; demonstrate by a mathematical, formal proof	indicate a place, direction, person, or thing; either spatially or figuratively
provide evidence for	give expression to
take a trial impression of	give evidence of, as of records
cause to puff up with a leaven	indicate a certain reading; of gauges and instruments
increase in volume	finish third or better in a horse or dog race
put to the test, as for its quality, or give experimental use to	show in, or as in, a picture
be shown or be found to be	take (someone) to their seats, as in theaters or auditoriums
	make visible or noticeable
	be or become visible or noticeable
	give an exhibition of to an interested audience