Synonyms for Establish (same or very similar meaning)
WordNet sense 1 (set up or found):
launch, found, set up
WordNet sense 2 (build or establish something abstract):
build
WordNet sense 3 (bring about):
give
WordNet sense 4 (set up or lay the groundwork for):
constitute, institute, plant
WordNet sense 5 (place):
instal, install
WordNet sense 6 (institute, enact, or establish):
make, lay down
WordNet sense 7 (establish the validity of something, as by an example, explanation or experiment):
demonstrate, prove, shew, show
WordNet sense 8 (use as a basis for; found on):
base, ground
From the ODE community, based on WordNet
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