Law in their Minds
Type: " 'This is the covenant I will make with the house of Israel after that time,' declares the LORD. 'I will put my law in their minds and write it on their hearts. I will be their God, and they will be my people' " (Jer.31:33; NIV).
Antitype: Paul says that "in my inner being I delight in God's law" and "I myself in my mind am a slave to God's law" (Ro.7:22,25;NIV).
Keep the Law
Type: The Lord told the "nation" of Israel that upon receiving the spirit that she would "walk in My statutes, and ye shall keep My ordinances, and do them" (Ez.36:27).
Antitype: Progressive Dispensationalist Bruce A. Ware sees that this is being fulfilled now by believers, writing that "the superior glory of the new covenant is seen in its transforming power to enable its covenant participants to live increasingly righteous lives throgh the Spirit. In 2 Corinthians 3:18 it is the Spirit who accomplises our transformation into the likeness of Christ, from one degree of glory or another...Empowerment for keeping the law comes by the Spirit" (Blaising & Bock, Dispensationalism, Israel and the Church [Zondervan Publishing, 1992], pp.88-89).
For a related article see 'Israel�s New Covenant and the Body of Christ.'