How do we know that Christ's redemption is not universal?

The doctrine of limited atonement, as expressed in the theology of sovereign grace, emphasizes that Christ's redemptive work applies to the elect, not universally to all humanity. In Galatians 3:13, Paul explicitly states, 'Christ hath redeemed us.' This 'us' refers to the chosen people of God whom He designated in covenant love before the foundation of the world. Throughout Scripture, such as in John 10:15 where Christ claims, 'I lay down my life for the sheep,' the distinction is made between the sheep and others, showcasing that Christ's redemptive power is particularly intended for those He has chosen. Therefore, the misunderstanding of universal redemption contradicts not only scriptural testimonies but also the clear implications of God's chosen plan of salvation.