已证明的 meaning in Chinese

demonstrated

Demonstrated past experience
已证明的过去经验
Context : euclid ' s proof of the pythagorean theorem made use of the previous proven theorem known as proposition 41
上下文：欧几里得关于毕德哥拉斯定理的证明利用了前已证明的命题41 。
Context : each statement in a proof is logically justified by a definition , postulate , or an earlier proposition that has already been proven
上下文：在一个证明过程中每一个陈述句都要被符合逻辑地用定义，定理或公理或前边已证明的命题加以判定。
Fines for convicted counterfeiters were also raised , to range from one to 15 times the illegal earnings , or from 50 to 200 percent of the business turnover
对于已证明的制假者罚款上额也将提升，最高可达违法收入金额的15倍以上，或者为营业额的百分之五十到两百。
If the customer declares a higher value for carriage and pays the applicable charge , then liability shall be limited to proven damages of not more than the sum so declared
倘若“客户”已声明较高的运输价值且已支付有关费用，则赔偿额须限制为已证明的损失金额且不超过如此声明之价值总和。