How do we know Christ's atonement actually redeems?

The certainty that Christ's atonement actually redeems lies in the concept of substitutionary atonement. According to the Scriptures, Jesus bore the debt of sin for His elect and removed the curse of the law that they would otherwise face. Galatians 3:13 states that 'Christ has redeemed us from the curse of the law, being made a curse for us.' By taking sin upon Himself, He ensures that His people are no longer bound to the guilt and consequences of their transgressions, thereby confirming the reality of their redemption.