To certify in an official capacity.
证明，证实以官方职位来证明是真的
To certify by signature or oath.
证明，证实用签名或誓言来证明是真的
To substantiate or authenticate with evidence.
证实用证据证明为真
To prove the truth of by presentation of evidence or testimony; substantiate.
证明；证实通过提供证据或证词来证明…的真相；证实，证明…有根据
with document attached certifying its authenticity
附有证件证明其真实性
Things can get along without you, as history and many facts of life can testify.
历史证明，各种事实证明，没有你也行。
I can speak to his veracity.
我可以证明他是诚实的。
An experiment shows what happens.
而实验证明会发生什么。
attest the truth of it
证明这件事的真实性
demonstrate the truth of a statement
证明一说法的真实性
a concept whose truth can be proved.
真实性可以证明的观念。
He proved to be sure-footed and reliable.
事实证明他稳健可靠。
That theory comes of practice has long been proved .
理论来自实践早已证明。
He averred that I had spoken the truth.
他证明我说的是实话。
The deposition of the last witness convicted the accused man .
最后那个证人的证明确实了被告有罪。
This evidence speaks volumes for his honesty.
这证据足以证明他的诚实。
To state or affirm in a deposition or by affidavit.
宣誓作证通过宣誓或发誓声明或证实
A witness must depose to such facts as are within his own knowledge.
证人必须宣誓证明他所知道的事实。