They found proof of his innocence.

他们找到了他无罪的凭证。

Do you have proof of purchase for this item?

你有购买这件商品的凭证吗？

Can you show me any proof of your statement?

你能给我看你陈述的任何证据吗？

The scientist found proof of the new theory.

科学家找到了新理论的证据。

You need to provide proof of your student status.

你需要提供你的学籍证明。

You need to provide proof of ownership of the house.

你需要提供房子的拥有权证明。

You need to provide proof of equivalent education.

你需要提供同等学历的证明文件。

The research provided conclusive proof of the theory.

研究提供了该理论的确凿的证据。

You need to provide proof of purchase to get returns.

你需要提供购买凭证才能获得退费。

The proof-of-concept showed that the idea was feasible.

概念验证表明这个想法是可行的。