How do we know that Christ is our substitute for sin?

The doctrine of substitutionary atonement is central to the Christian faith, evidenced in passages like Isaiah 53:5, which states that 'He was wounded for our transgressions.' This scripture emphasizes that Christ, as the branch and the stone, bore the punishment for the sins of His elect. Furthermore, Romans 4:25 indicates that Christ was delivered over to death for our sins and raised for our justification, solidifying the assertion that He is our substitute. Through His sacrifice, He has paid the sin debt, enabling believers to be reconciled to God.