Not all bullies are untruthful (3)

I believe the answer is:

lie

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

'not all bullies are untruthful' is the definition.
I can't tell whether this defines the answer.

'not all bullies are untruthful' is the wordplay.
'not all' indicates the answer is hidden within the clue (only some of the letters).
'LIE' is hidden within 'bullies untruthful'.

Can you help me to learn more?

(Other definitions for lie that I've seen before include "Story" , "Tell untruths" , "Rest; falsehood" , "Assume recumbent posture" , "Perjure" .)

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