How is what Christ did like what Israel's high priest did with the blood?

Israel's high priest entered the holy of holies and sprinkled blood on the mercy seat. Christ likewise entered the holy place with blood, but He entered heaven itself, not an earthly tabernacle, presenting His own shed blood and obtaining eternal redemption.

Les explains that when Israel's high priest went in, he came all the way through and sprinkled the blood on the mercy seat. Christ did the same thing, only instead of going into the tabernacle of Israel or Solomon's temple, He went into the tabernacle in heaven. Verse 12 says He did not enter by the blood of goats and calves, but by His own blood, entering once into the holy place. As our high priest, He went into the holy place in heaven, brought the divine shed blood from His crucifixion, and obtained eternal redemption for us.

Hebrews 9:11

But Christ being come an high priest of good things to come, by a greater and more perfect tabernacle, not made with hands, that is to say, not of this building;

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What did Christ do that corresponded to Israel's high priest sprinkling blood on the mercy seat?

Christ, as our high priest, entered the holy place in heaven, not an earthly tabernacle or temple. He entered once by His own blood—not the blood of goats and calves—having obtained eternal redemption for us. This corresponded to Israel's high priest sprinkling blood on the mercy seat.