How do we know the God of salvation is the God of Jacob?

The God of salvation as the God of Jacob signifies His commitment to His covenant people. Consistently throughout Scripture, we see God's grace extended to those who are undeserving. In Romans 9:13, it states, 'Jacob have I loved, but Esau have I hated,' which underscores God's sovereign choice in salvation. This doctrine of election guarantees that God’s love and mercy are steadfast, and He is actively involved in the lives of those He has chosen, as illustrated in the story of Jacob's transformation from 'deceiver' to 'Israel,' a prince with God.