Meaning of establish in English
1. start something, especially an organization or institution, that will continue for a long time
Our school was established in 1856.
2. build and form a relationship
Japan established strong economic ties with China and Korea.
3. set up a theory, custom etc. on a permanent basis
establish a custom[one's fame, a theory, ...]
4. make into law; establish by law[legal act]
establish the Constitution of Japan
5. prove to be true; confirm that something is true or correct
He established his innocence.
We established ourselves in our new house.