How do we know that Christ's righteousness is applied to us?

The application of Christ's righteousness to believers is rooted in God's sovereign plan and grace. Scripture emphasizes that it is not by our works that we are saved, but according to God's purpose and grace (2 Timothy 1:9). This application occurs through the Holy Spirit's work in awakening our awareness of sin and pointing us to Christ as the Savior. As believers recognize their inability to save themselves and place their faith in Jesus, the righteousness of Christ is imputed to them, covering their sin and granting them standing before God (Romans 5:1, Philippians 3:9). The faith to receive this truth is itself a gift from God, demonstrating His active role in our salvation.