'Better Covenant' in the Bible

And as he was not [constituted] without swearing,??21 for they were made priests without swearing, but he with swearing by him who says to him, The Lord swore, and he will not change, You are a priest forever;??22 by so much is Jesus the pledge of a better covenant.

by so much also hath Jesus become the surety of a better covenant.

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.

For they [the gifts, sacrifices, and ceremonies] deal only with [clean and unclean] food and drink and various ritual washings, [mere] external regulations for the body imposed [to help the worshipers] until the time of reformation [that is, the time of the new order when Christ will establish the reality of what these things foreshadow—a better covenant].