Crossword Genius

Where the outer lid is different from the inner lid? (6)

Ross

I believe the answer is:

hatbox

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

'where the outer lid is different from the inner' is the definition.
Although both the answer and definition are singular nouns, I can't understand how they can define each other.

'lid?' is the wordplay.
I cannot quite see how this works, but
'lid?' could be 'hat' ('hat' can be a synonym of 'lid') and 'hat' is present in the answer.
The remaining letters 'box' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for hatbox that I've seen before include "Container for headwear" , "Ten-gallon container maybe" , "Case for storing headgear" , "Milliner's container" , "Headgear container" .)

I've seen this clue in The Independent.
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