The 47-year-old man was arrested at an address in Wigan on the morning of Tuesday, 13 December, as part of a pre-planned operation assisted by colleagues from Greater Manchester Police.
He was arrested on suspicion of disseminating terrorist publications, under Section 2 of the Terrorism Act 2006.
He was detained under PACE and taken to a police station in Manchester. He was later bailed, to a date in mid-March 2023.
Enquiries continue.
The investigation relates to Islamist terrorism.
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