We have proved the hypothesis.

我们已经证明了这种假设。

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We have proved our courage in battle.

我们在战斗中证实了自己的勇气。

youdao

We have proved against these teams that on our day we can beat them.

我们之前就已经证明只要我们不失常，我们就可以战胜这些强队。

youdao

So today I'm pleased to say that we have proved that change is possible.

WHITEHOUSE: President Obama Signs National Defense Authorization Act

We have proved, firstly, that the Olympics are manageable, and affordable, if done right.

CNN: London 2012 legacy: Trust the British to get it right

We have proved they can be fun for everyone (even the people who live in the city).

CNN: London 2012 legacy: Trust the British to get it right