demonstrate vs prove

demonstrate and prove both are verbs.

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

As verbs, demonstrate and prove are synonyms defined as:

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

Other synonyms of demonstrate include establish, shew, show.

As verbs, prove is a hyponym of demonstrate; that is, prove is a word with a more specific, narrower meaning than demonstrate:

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

Other hyponyms of demonstrate include prove oneself, contradict, negate, stultify.

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

demonstrate: provide evidence for; stand as proof of; show by one's behavior, attitude, or external attributes
prove: provide evidence for

Other hypernyms of demonstrate include bear witness, evidence, show, testify.

demonstrate (verb)	prove (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
provide evidence for; stand as proof of; show by one's behavior, attitude, or external attributes	obtain probate of
give an exhibition of to an interested audience	prove formally; demonstrate by a mathematical, formal proof
march in protest; take part in a demonstration	provide evidence for
	take a trial impression of
	cause to puff up with a leaven
	increase in volume
	put to the test, as for its quality, or give experimental use to
	be shown or be found to be