How does Scripture support the idea that Christ died specifically for the elect?

The Scripture consistently depicts Christ's death as being for a particular people. For instance, Galatians 1:4 states that Christ gave Himself for our sins, emphasizing 'our' as a reference to believers specifically. Similarly, Ephesians 1:4-5 highlights that God chose us in Him before the foundation of the world, demonstrating that His plan for salvation was enacted with the elect in mind. The distinction in Scripture between the ‘sheep’ and the ‘goats’ (Matthew 25:32) further illustrates that Christ's redemptive work specifically applies to those chosen for salvation, rather than to the entirety of humanity.