'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 to which of the angels did the Father ever say,“You are My Son,Today I have begotten (fathered) You [established You as a Son, with kingly dignity]”?And again [did He ever say to the angels],“I shall be a Father to HimAnd He shall be a Son to Me”?

And:In the beginning, Lord,You established the earth,and the heavens are the works of Your hands;

[and besides this evidence] God also testifying with them [confirming the message of salvation], both by signs and wonders and by various miracles [carried out by Jesus and the apostles] and by [granting to believers the] gifts of the Holy Spirit according to His own will.

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 hath he obtained a more excellent ministry, by how much also he is the mediator of a better covenant, which was established upon better promises.

Where a will exists, the death of the one who made it must be established.

By faith he established the Passover and the sprinkling of blood to keep the destroyer of the firstborn from touching the people.

Be not carried about with divers and strange doctrines. For it is a good thing that the heart be established with grace; not with meats, which have not profited them that have been occupied therein.