Discard, after tearing up, personal documents (2,5)

I believe the answer is:

id cards

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'tearing up personal documents' is the definition.
I don't know anything about this answer so I cannot judge whether it can be defined by this definition.

'discard' is the wordplay.
'discard' anagrams to 'ID CARDS'.
Though, I'm not sure how the anagram is indicated.

'after' is the link.

Can you help me to learn more?

I've seen this clue in The Hindu.

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