set at rest

On one score my mind was set at rest straight away.

It would have set your mind at rest to know he was gone.

I feel definitely that my mind must be set at rest on the matter.

It was enough to set me at rest I closed my eyes.

Heaven knows, she might have set her mind at rest, poor child!

But she'd seen enough to set her mind at rest.

This mistake will soon be set at rest, and then you are a man again!

To some extent she had set his mind at rest.

Well, let me try to set your mind at rest a little.

How far would it go toward setting her mind at rest?