If participation entailed that the participant just is a property instance, then participated beings would be universals, contradicting the Thomistic framework Mann's argument is meant to support.

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Mann's argument(as used in academic philosophy): A specific logical argument made by a philosopher or scholar named Mann; without more context, this refers to a particular theory or position he's defending.
Participated beings(as used in metaphysics): Things or entities that have or exhibit properties through participation—basically, the individual objects that possess qualities.
Property instance(as used in metaphysics): A single occurrence of a property in a particular object—like the specific redness of one red apple, as opposed to the general idea of redness.
Thomistic framework(as used in the history of philosophy): A philosophical approach based on the ideas of Thomas Aquinas, a medieval philosopher who developed a specific system for understanding reality, properties, and existence.

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