Convincingly disagree with a nasty brute (5)

I believe the answer is:

rebut

I'm a little stuck... Click here to teach me more about this clue!

'convincingly disagree' is the definition.
I can't tell whether this defines the answer.

'a nasty brute' is the wordplay.
'a nasty' indicates anagramming the letters.
'brute' anagrammed gives 'REBUT'.

'with' is the link.

Can you help me to learn more?

(Other definitions for rebut that I've seen before include "Brute can refute" , "Repel" , "Refure or disprove" , "Claim or prove to be false" , "Check" .)

I've seen this clue in the Evening Standard.

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