'Established' in the Bible

Since [as is well known] many have undertaken to compile an orderly account of the things which have been fulfilled among us [by God],

In those days a decree went out from Caesar Augustus that the whole empire should be registered.

But he said to him, Man, who established me as a judge or a divider over you?

And in [addition to] all these [things], a great chasm has been established between us and you, so that those who want to cross over from here to you are not able [to do so], nor can they cross over from there to us.'

In the same way He also took the cup after supper and said, “This cup is the new covenant established by My blood; it is shed for you.