Crossword Genius

Pork pie to be found with daughter (4)

Ross

I believe the answer is:

lied

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'pork pie' is the definition.
Although both the answer and definition are singular nouns, I cannot see how they can define each other.

'be found with daughter' is the wordplay.
'be' becomes 'lie' (lying is a kind of being).
'found with' says to put letters next to each other.
'daughter' becomes 'd' (genealogical abbreviation).
'lie'+'d'='LIED'

'to' acts as a link.

Can you help me to learn more?

(Other definitions for lied that I've seen before include "Was economical with the truth" , "untrue" , "Told an untruth" , "piece of music" , "refused to admit it" .)

I've seen this clue in The Sun.
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