[Python] What is the difference between threshold and prominence in 'scipy.signal.find_peaks'?

I'm trying to find the peaks of a noisy signal using scipy.signal.find_peaks and I realised that I don't fully understand the difference between the threshold and prominence arguments.

I understand that prominence is equivalent to topographical prominence, i.e. the height of a peak relative to the surrounding terrain. However, I don't quite understand in which ways the threshold argument is different from this. From the above link both arguments seem equivalent to me. What is exactly the difference between threshold and prominence in this case?

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