Uncover the truth to nude dancing: a form of English vice (9)

I believe the answer is:

undeceive

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'uncover the truth' is the definition.
I can't tell whether this defines the answer.

'nude dancing a form of english vice' is the wordplay.
'dancing' indicates anagramming the letters.
'a form of' indicates anagramming the letters (another form of the same letters).
'english' becomes 'E' (abbreviation).
'nude' with letters rearranged gives 'unde'.
'e'+'vice'='evice'
'evice' with letters rearranged gives 'ceive'.
'unde'+'ceive'='UNDECEIVE'

'to' is the link.

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