put someone's mind at restput/set (someone's) mind at rest
to make someone stop worrying.
If it'll put your mind at rest, I can drive you home and you can make sure the door's locked.
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put (one's) mind at rest
To reduce or remove one's worry, anxiety, dread, fear, etc. I know you're anxious to hear how your father is doing after the surgery, so let me put your mind at rest—he's going to make a full recovery.That bonus really put my mind at rest about these debts.