How do we know that the righteousness of Christ is greater than the law?

In Romans 8:3-4, we learn that the law could not save, as it merely highlighted human sinfulness and the consequent condemnation. In contrast, Christ fulfills the law and provides a righteousness that grants life and liberty to those who believe. The ministry of the Spirit, as noted in 2 Corinthians 3:8-11, reveals this greater righteousness, which liberates believers from the bonds of sin and the guilt of the law, showcasing how much more glorious and effective Christ's work is over the law.