“That the righteousnesse of the law might be fulfilled in vs, who walke not after the flesh, but after the spirit.”
1611 King James Version (KJV)
8:4 That the righteousness of the law - The holiness it required, described, #Rom 8:11|. Might be fulfilled in us, who walk not after the flesh, but after the Spirit - Who are guided in all our thoughts, words, and actions, not by corrupt nature, but by the Spirit of God. From this place St. Paul describes primarily the state of believers, and that of unbelievers only to illustrate this.
Ro 8:4 That the righteousness of the law. The righteous demand of the law, its substance, is a loving obedience to God. See Lu 10:27. By the Gospel the love of God is shed abroad in our hearts through the Spirit. Hence, we comply with its righteous demands when we walk not according the flesh, but according the Spirit. To walk after the flesh is to obey the dictates of the flesh; to walk after the Spirit is to obey its dictates. It dwells in the believer to help him, but its dictates are found in the "words of the Holy Spirit".