'Established' in the Bible

And David realized that the Lord had established him as king over Israel, and that his kingdom was highly exalted, for the sake of His people Israel.

Tremble before Him, all the earth;Indeed, the world is firmly established, it will not be moved.

But I will settle him in My house and in My kingdom forever, and his throne shall be established forever.”’”

“Now, O Lord, let the word that You have spoken concerning Your servant and concerning his house be established forever, and do as You have spoken.

Let Your name be established and magnified forever, saying, ‘The Lord of hosts is the God of Israel, even a God to Israel; and the house of David Your servant is established before You.’