lay down vs establish

lay down and establish both are verbs.

Word	Noun	Adjective	Verb	Adverb
lay down	No	No	Yes	No
establish	No	No	Yes	No

As verbs, lay down and establish are synonyms defined as:

Other synonyms of lay down include make.

lay down (verb)	establish (verb)
institute, enact, or establish	establish the validity of something, as by an example, explanation or experiment
	institute, enact, or establish
	use as a basis for; found on
	place
	set up or lay the groundwork for
	bring about
	build or establish something abstract
	set up or found