beyond the shadow of a doubt

基本解释

Our success is beyond the shadow of a doubt.
我们的成功是不容置疑的。
He is also, beyond the shadow of a doubt, the most polarizing presence in all of basketball.
同时，毫无疑问的是他是篮球界历史上最具有争议的一号人物。
I want you to know beyond the shadow of a doubt that during my term as President, justice will be pursued fairly, fully and impartially, no matter who is involved.
我想让你们毫无疑虑地明白在我任总统期间，无论涉及到谁，正义将得到公正地、全地、观地伸张。

Even the expulsion of Satan from heaven was not sufficient to prove beyond a shadow of a doubt the legitimate authority of God.
即使是将撒旦逐出天堂也不足以,无可置疑的证明上帝的至高权威。
耶鲁公开课 - 弥尔顿课程节选

If the insistence of those who continue to try to persuade us that supply-side economics actually works is any indication—despite the endless reams of evidence that proves beyond a shadow of a doubt that it most certainly does not—I would not expect much change in the conservative approach.
FORBES: British Economic Austerity Bombs As England Double Dips Into Recession
This strikes me as a pretty high threshold given that for a jury to convict there should evidence beyond a shadow of a doubt that the defendant is guilty.
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When he set to building his own empire, he proved beyond a shadow of a doubt what he had learned from his time at both those organizations: he had seen the way a story travels through the internet, and he understood how to make people say what he wanted whether they knew it or not.
FORBES: Andrew Breitbart Wielded The Internet Like a Shotgun