Treasury of Scripture Knowledge
But now Jesus has obtained a ministry that is as far superior [to that of the Levitical priesthood] as the [New] Agreement, of which He is the Mediator, is better [than the old one], because it has been enacted on better promises.
Therefore, Christ is the Mediator of a New Agreement, so that [all] those people who have been called [by God] can receive the promise of the never ending inheritance. [This is possible because] a death has taken place for the redemption of [people's] sins who lived under the first Agreement.
and to Jesus, the Mediator of a New Agreement [between God and mankind], and to the sprinkled blood [of Jesus], which says better things [to us] than [the blood of] Abel did. [Note: The contrast seems to be that "Abel's blood called for vengeance and death (See Gen. 4:10) whereas the blood of Christ provides mercy and life"].
Now may the God of peace, who brought back from the dead our Lord Jesus, the great Shepherd of the sheep [i.e., the church], through the blood of the never ending Agreement [i.e., Christ's blood],
for this is [i.e., represents] my blood of the Agreement [i.e., between God and mankind], which is [to be] poured out for many people in order for [their] sins to be forgiven.
And He said to them, "This is [i.e., represents] my blood of the Agreement [i.e., between God and mankind] which is [to be] poured out for many people.
And in the same way He took [another] cup, after the [Passover] meal, and said, "This cup is [i.e., represents] the New Agreement [i.e., between God and mankind] made by my blood, which is [to be] poured out for you.
1 Corinthians 11:25
In the same way [He took] the cup also, after supper, and said, "This cup [i.e., its contents] represents the New Agreement [ratified] by my blood. [Continue to] do this, whenever you people drink from it, in memory of me."