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

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.

FORBES: The Innocence of Troy Davis

Neither of them, in my opinion, were proven beyond a shadow of a doubt to have broken baseball's laws and rules.

CNN: A baseball game nobody wins

Education is an economic issue when we know beyond a shadow of a doubt that countries that out-educate us today, they will out-compete us tomorrow.

WHITEHOUSE: Education: The Economic Issue of Our Time