How do we know that Christ's righteousness is ours?

We know that Christ's righteousness is ours through faith as it is a core tenet of the gospel. Romans 4:5 emphasizes that it is not our own works or moral efforts that justify us before God, but faith in Jesus Christ who was made sin for us. His perfect righteousness is imputed to us, meaning that when we believe, God views us as righteous because we are united with Christ. This foundational understanding frees us from the burden of attempting to earn God's favor through our actions. The assurance of this truth allows believers to stand confidently in the grace that has been afforded to them, which Paul confirms in Romans 8:33-34, stating that no accusation against God's elect can stand because Christ has already paid the penalty for our sins.