Etymology
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establish (v.)

late 14c., from Old French establiss-, present participle stem of establir "cause to stand still, establish, stipulate, set up, erect, build" (12c., Modern French établir), from Latin stabilire "make stable," from stabilis "stable" (see stable (adj.)). For the unetymological e-, see e-. Related: Established; establishing. An established church or religion is one sanctioned by the state.

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Definitions of establish

establish (v.)
set up or found;
Synonyms: set up / found / launch
establish (v.)
set up or lay the groundwork for;
establish a new department
Synonyms: found / plant / constitute / institute
establish (v.)
establish the validity of something, as by an example, explanation or experiment;
Synonyms: prove / demonstrate / show / shew
establish (v.)
institute, enact, or establish;
Synonyms: lay down / make
establish (v.)
bring about;
The trompe l'oeil-illusion establishes depth
Synonyms: give
establish (v.)
place;
Synonyms: install / instal / set up
establish (v.)
build or establish something abstract;
Synonyms: build
establish (v.)
use as a basis for; found on;
Synonyms: base / ground / found
From wordnet.princeton.edu