negate vs establish

negate and establish both are verbs.

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

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

negate: prove negative; show to be false
establish: establish the validity of something, as by an example, explanation or experiment

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

negate (verb)	establish (verb)
make ineffective by counterbalancing the effect of	establish the validity of something, as by an example, explanation or experiment
prove negative; show to be false	institute, enact, or establish
deny the truth of	use as a basis for; found on
be in contradiction with	place
	set up or lay the groundwork for
	bring about
	build or establish something abstract
	set up or found