只有每一逻辑步骤都被其他数学家验证之后，证明才能成立。

Only when each logical step has been checked by other mathematicians will the proof be accepted.

这一步骤带来了许多严重的后果。

This step involved many fateful consequences.

我们必须采取积极步骤处理这个问题。

We must take positive steps to deal with the problem.

你在论证中似乎略去了好几个步骤。

You seem to have jumped several steps in the argument.

照前面的练习一样，重复这五个步骤。

Repeat these five steps, as in the last exercise.

对于应该采取什么正确步骤，还是有些不明确。

There is some confusion about what the correct procedure should be.

已采取步骤使某些软毒品合法化。

There are moves to decriminalize some soft drugs.

他没有给出这些步骤的时间表。

He gave no timescale for these steps.

想要完成这个步骤是不可能的。

It would be unrealistic to expect such a process ever to be completed.

在本章后面部分，我将提出几个我们需要采取的具体步骤。

Later in this chapter, I recommend several specific steps we need to take.

如果将这个任务细分为简单易行的若干步骤来做，便不会感到如此无所适从。

The task won't feel so overwhelming if you break it down into small, easy-to-accomplish steps

下一步骤如何？

What's the next step?

对应该采取怎样的步骤这一点还不太明确。

There is some confusion about what the right procedure should be.