He challenged the 'established order'. [=the way things are usually done in society, in an organization, etc.]
Research has 'established' [='demonstrated, shown'] that he played an important role in the negotiations.
Investigators are trying to 'establish' if/whether anyone knew about these problems before the accident.
(..) for they are dedicated to our overthrow. Is that understood? We are all equally Ragnar's sons, but we are not equal in battle. So I will take the lead. I will establish the battle plans, and I will give the orders. Do you understand that? You don't agree, 'var? ~ I didn't say anything. (..)2017 TvShow: Vikings Title: Revenge Season: 4 Episode 18