'Established' in the Bible

at the end of these days has spoken to us in the person of the Son, whom he has established heir of all things, by whom also he made the worlds;

For every high priest taken from amongst men is established for men in things relating to God, that he may offer both gifts and sacrifices for sins;

But now he has got a more excellent ministry, by so much as he is mediator of a better covenant, which is established on the footing of better promises.