Crossword Genius

Loud performance, that's true (4)

Ross

I believe the answer is:

fact

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

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

'loud performance' is the wordplay.
'loud' becomes 'f' (short for forte - 'loud' in music).
'performance' becomes 'act' (act is a kind of performance).
'f'+'act'='FACT'

'that's' is the link.

Can you help me to learn more?

(Other definitions for fact that I've seen before include "copyright protection agency?" , "Piece of information known to be true" , "Truth, reality" , "True item; reality" , "matter of record" .)

I've seen this clue in The Mirror.
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