prove vs establish

prove and establish both are verbs.

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

As verbs, prove and establish are synonyms defined as:

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

Other synonyms of prove include demonstrate, shew, show.

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

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

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

prove (verb)	establish (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	institute, enact, or establish
prove formally; demonstrate by a mathematical, formal proof	use as a basis for; found on
provide evidence for	place
take a trial impression of	set up or lay the groundwork for
cause to puff up with a leaven	bring about
increase in volume	build or establish something abstract
put to the test, as for its quality, or give experimental use to	set up or found
be shown or be found to be