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And what Scriptures were they searching? The Revelation of John? The four Gospels? Of course not - they were searching the Jewish texts. They were seeing whether the oral teachings of the Apostles were consistent with the Old Testament. They found that the oral teachings were consistent, and thus believed. See my post above addressed to Iscool, and how Scripture, at the end of the Gospel of John, specifically indicates it does not contain the whole of Christ's teachings.

Yes they obviously searched old testiment scriptures which is an even stronger argument for the excellence of the scriptures. The verse about Jesus doing more than what was written does not detract from the completion or excellence of the scriptures it just says tells us that the Holy Spirit, the perfect editor, did some editing yet gave us ALL we need.

Or, the Old Covenant was one of laws, and the New one is of faith. In order to live according to the law, you needed to have it written to know it, whereas under the New Covenant, you needed to eat the Bread of Life. Written Scripture is not necessary for that purpose.