证明 + Clause/Object
The verb 证明 (zhèngmíng) means 'to prove' or 'to demonstrate,' used to show that something is true through evidence or reasoning. It can take a noun object or introduce a clause describing what is being proven. 证明 is widely used in both formal and everyday Chinese.
这些数据证明了他的理论是正确的。
zhèxiē shùjù zhèngmíng le tā de lǐlùn shì zhèngquè de.
This data proved that his theory was correct.
你怎么证明这件事跟你无关?
nǐ zěnme zhèngmíng zhè jiàn shì gēn nǐ wúguān?
How can you prove this matter has nothing to do with you?
实验结果证明这种方法有效。
shíyàn jiéguǒ zhèngmíng zhè zhǒng fāngfǎ yǒuxiào.
The experimental results proved that this method is effective.