John Wesley on Hebrews 7:11

The apostle now demonstrates that the Levitical priesthood must yield to the priesthood of Christ, because Melchisedec, after whose order he is a priest, Is opposed to Aaron, Heb 7:11 - 14. Hath no end of life, Heb 7:15 - 19, but "remaineth a priest continually." If now perfection were by the Levitical priesthood - If this perfectly answered all God's designs and man's wants For under it the people received the law - Whence some might infer, that perfection was by that priesthood. What farther need was there, that another priest - Of a new order, should be set up? From this single consideration it is plain, that both the priesthood and the law, which were inseparably connected, were now to give way to a better priesthood and more excellent dispensation.