The basis for Christ's statement is the law He gave about establishing significant matters by the testimony of two or three witnesses (Deuteronomy 17:6; 19:15; II Corinthians 13:1). In the rest of John 5, down through verse 46, He then provides additional witnesses of Himself to prove that He was neither blaspheming, nor guilty of violating the Fourth Commandment.
Jesus thus sets the pattern for us in establishing or judging critical matters. This must be our approach when it comes to biblical teaching: We must find multiple witnesses of Scripture to keep away from disputes over doubtful things (Romans 14:1). Jesus teaches that a single testimony is invalid. He says a couple of chapters later, He who speaks from himself seeks his own glory (John 7:18). An untested interpretation is the same as leaning on our own understanding, or being wise in our own eyes (Proverbs 3:5-7; 26:12; Isaiah 5:21).
Sometimes pride or fear keep us from taking an honest look at a matter, and allowing that we may be mistaken. Yet God says, . . . on this one will I look: On him who is poor and of a contrite spirit, and who trembles at My word (Isaiah 66:2). If we desire for God to look on us favorably, trembling at His word must be our guiding principle. Proverbs 28:26 says bluntly, he who trusts in his own heart is a fool. We must always seek witnesses of Scripture to ensure that a teaching has more support than just human reasoning.