In Adams & Aizawa, (2001), we proposed that “A first essential condition on the cognitive is that cognitive states must involve intrinsic, non-derived content” (Adams & Aizawa, 2010, p. 69)Andy Clark has observed (somewhere) that there our view is that there are mental representations in the head that apparently have non-derived content, so that when Otto manipulates his notebook that overarching notebook manipulating process does involve intrinsic, non-derived content.
I think the better, and stronger, formulation requires that the vehicles of content must bear non-derived content.
Defending the Bounds of Cognition (with Fred Adams). (2010) In Menary, R., (Ed.). The Extended Mind, Cambridge, MA: MIT Press. (pp. 67-89).