Lie to obtain produce (5)

I believe the answer is:

beget

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'produce' is the definition.
(I've seen this in another clue)

'lie to obtain' is the wordplay.
'lie' becomes 'be' (I can't explain this - if you can you should give a lot more credence to this answer).
'to obtain' becomes 'get' ('get' can be a synonym of 'obtain').
'be'+'get'='BEGET'

Can you help me to learn more?

(Other definitions for beget that I've seen before include "Engender" , "Father" , "Sire" , "Give rise to; create (children)" , "Produce (child) (archaic)" .)

I've seen this clue in The Daily Express.

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