Paul, in writing about the death of Jesus to the Romans, said, "His death was a death to sin."
What he meant by that could be that it was not so much Our Lord's physical death that saved us. It was more his dying to the desire to go his own way in favor of sacrificing his life. For him, to save his life by rejecting God's plan would have seemed sinful.
His efforts at dying to sin were so taxing the he sweat blood in forcing himself to die for us.