Hebrews 9:15

9:15 And so he is the mediator ¹  of a new covenant, so that those who are called may receive the eternal inheritance he has promised, ²  since he died ³  to set them free from the violations committed under the first covenant.

Hebrews 10:16

10:16 “This is the covenant that I will establish with them after those days, says the Lord. I will put ⁴  my laws on their hearts and I will inscribe them on their minds,” ⁵ 

Hebrews 8:9-10

8:9 “It will not be like the covenant ⁶  that I made with their fathers, on the day when I took them by the hand to lead them out of Egypt, because they did not continue in my covenant and I had no regard for them, says the Lord.

8:10 “For this is the covenant that I will establish with the house of Israel after those days, says the Lord. I will put ⁷  my laws in their minds ⁸  and I will inscribe them on their hearts. And I will be their God and they will be my people. ⁹ 

[9:15]  ¹ tn The Greek word μεσίτης (mesith", “mediator”) in this context does not imply that Jesus was a mediator in the contemporary sense of the word, i.e., he worked for compromise between opposing parties. Here the term describes his function as the one who was used by God to enact a new covenant which established a new relationship between God and his people, but entirely on God’s terms.

[9:15]  ² tn Grk “the promise of the eternal inheritance.”

[9:15]  ³ tn Grk “a death having occurred.”

[10:16]  ⁴ tn Grk “putting…I will inscribe.”

[10:16]  ⁵ sn A quotation from Jer 31:33.

[8:9]  ⁷ tn Grk “not like the covenant,” continuing the description of v. 8b.

[8:10]  ¹⁰ tn Grk “putting…I will inscribe.”

[8:10]  ¹¹ tn Grk “mind.”

[8:10]  ¹² tn Grk “I will be to them for a God and they will be to me for a people,” following the Hebrew constructions of Jer 31.