The proof may be written informally, but you need to tell me all the steps, or at least the key steps, in your solution.

求解过程可以写得不那么正式但是你要告诉我你的解决方法中每一个步骤或最起码要告诉我关键步骤。

youdao

OK, small details that you don't really need to worry too much about, but indeed if you want to be careful with details then my proof is not quite complete. But the computation is still true.

这些小细节不用太过担心，如果你仔细注意细节，那么证明不是非常完整，不过计算上没问题。

youdao

But these others, these are the living proof you need, to win that trivia contest.

但其他鱼，是你赢得百科知识比赛所需的活生生的证据。

youdao

Again, you need proof but courts understand that those with chronic or debilitating illnesses are not likely to withstand the pressures of jury duty.

WSJ: Psst! You Want to Duck Jury Duty?