How do we know that Christ died specifically for the elect?

In John 10:15, Jesus explicitly states, 'I lay down my life for the sheep,' which affirms that His sacrificial death was intended for those whom God has chosen for salvation. The phrase 'the seed of Abraham' pertains to believers in Christ, as affirmed in Galatians 3:29, where Paul states that if we are Christ's, then we are Abraham's seed and heirs according to the promise. This directly contrasts with the view that Christ died for all indiscriminately, affirming the focused intent of His atonement for the elect, reaffirmed throughout Scripture.