No good; demonstrably vile (4)

I believe the answer is:

evil

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This could be a double definition.

'no good' is the first definition.
(I've seen this in another clue)

'demonstrably vile' is the second definition.
'evil' can be an answer for 'vile' (I've seen this in another clue). I'm not certain of the 'demonstrably' bit.

Can you help me to learn more?

(Other definitions for evil that I've seen before include "Profoundly malevolent" , "Demonic" , "mischief" , "Live badly for badness" , "Wicked - sin" .)

I've seen this clue in The Globe and Mail.

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