证明无误 meaning in English

certified correct

He was continually giving vent to a sarcastic laugh as he went on proving , and at last scornfully abandoned all attempt to prove , his position , as a mathematician will refuse to establish by various different methods a problem he has once for all proved to be correctly solved
他不断露出讥讽的冷笑，证明了又证明，最后他轻蔑地停止了证明，仿佛他是一个数学家停止用各种书法验算一道已经证明无误的算题一样。沃尔佐根继续用法语代他说明他的思想，并不时对普弗尔说： “ nicht wahr ， exellenz ？ ”