How do we know that Jesus fulfilled Old Testament prophecies?

Saul of Tarsus demonstrated that the life of Jesus was a fulfillment of Old Testament prophecy by emphasizing specific events. For instance, Jesus being conceived of a virgin fulfills Isaiah 7:14, indicating His divine nature devoid of Adam's sin. Additionally, His birthplace in Bethlehem (Micah 5:2) illustrates His royal lineage. The miracles He performed, as prophesied in Isaiah 35:5-6, showcase His authority as the Messiah. Finally, His death reflects Psalm 22, where specific details of His suffering are laid out, further attesting to His role in salvation and messianic identity.