Hebrews 9:15 explains that Christ's death redeems from transgressions under the first covenant, providing the context for the necessity of death in Hebrews 9:16.

In Hebrews 9:20, the quotation of the blood of the covenant demonstrates the death required by the principle of a will in verse 16.

In Hebrews 13:20, the blood of the eternal covenant directly fulfills the death-of-the-testator logic introduced in verse 16.