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Is this what I need to ditch the front mudguard?
I think on mine the hook is separate from the mudguard stay. Can't you just take the bolt out, remove the mudguard stay and then put the bolt back with the existing hook only in place?
Why do you want to remove the guards? I'm not sure how you would wheel the folded bike around without a rear guard or rack. The rear mudguard on my (rackless) Brompton has a castor on it.
http://www.sjscycles.co.uk/brompton-front-axle-hook-and-wire-form-c-type-e-version-prod7969/
Is this what I need to ditch the front mudguard?