Crossword Genius

Where literally all the world’s a stage? (5,7)

Ross

I believe the answer is:

globe theatre

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'where literally all' is the definition.
I don't know anything about this answer so I can't tell whether this works.

'world's a stage?' is the wordplay.
'world' becomes 'globe' (synonyms).
'a stage?' becomes 'theatre' (stage is a kind of theatre).
'globe'+'theatre'='GLOBE THEATRE'

'the' is the link.

Can you help me to learn more?

(Another definition for globe theatre that I've seen is " playhouse".)

I've seen this clue in The Times.
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