Luther on the second righteousness that is the "formal" righteousness:
“This righteousness goes on to complete the first for it ever strives to do away with the old Adam and to destroy the body of sin. Therefore it hates itself and loves its neighbor; it does not seek it sown good, but that of another, and int his its whole way of living consists. For in that it hates itself and does not seek its own, it crucifies the flesh. Because it seeks the good of another, it works love. Thus in each sphere it does God’s will, living soberly with self, justly with neighbor, devoutly toward God”