How does Les distinguish the righteousness of God from human righteousness?
God's righteousness is contrasted with human righteousness, which is like filthy rags. It is not attained by keeping the law, since the law only gives the knowledge of sin and condemns; no flesh is justified by deeds of the law. God's righteousness is therefore without the law.
Les explains that the law, which is associated with old Adam, could do nothing but condemn. It had no power even to help the Jew be a law keeper; all it could do was point the finger and say, "You're guilty." Paul wrote that by the deeds or keeping of the law shall no flesh be justified in his sight, for by the law is the knowledge or awareness of sin. Then comes the flip side: the righteousness of God, not human righteousness—which are like filthy rags—but the righteousness of God without the law. Les also ties this to the precepts that without faith you cannot please God and that without the shedding of blood there is no remission, which goes back to the cross.
But now the righteousness of God without the law is manifested, being witnessed by the law and the prophets;