establish

establish /ɪˈstæblɪʃ/ verb
establishes; established; establishing
establish
/ɪˈstæblɪʃ/
verb
establishes; established; establishing
Britannica Dictionary definition of ESTABLISH
[+ object]
1 
a  : to cause (someone or something) to be widely known and accepted
b  : to put (someone or something) in a position, role, etc., that will last for a long time
2 
a  : to begin or create (something that is meant to last for a long time)
b  : to succeed in making or creating (something)
3 
a  : to make the truth or existence of (something) clear or certain : to show that (something) is true or real
b  : to find out (something)