Dual forms in metaphysics

Suppose that in true metaphysical propositions the concept of ‘object’ and ‘relation’ are convertible, so that for each true metaphysical proposition about objects and relations, there is a dual propositional form that holds as well. For example, the true dual form of “Objects participate into relations” would be “Relations bind to objects”. In that case the conclusion of my semantic argument (“No relation binds a quality to all objects”) would be the dual of Graham Harman’s core premise of his object-oriented ontology (“No object reveals its quality to all relations”).