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- n. The condition of being orthomodular
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The thrust of these no-go results is that straightforward constructions of plausible models for composite systems destroy regularity conditions (ortho-coherence in the case of the Foulis-Randall result, orthomodularity and the covering law in that of Aerts 'result) that have widely been used to underwrite reconstructions of the usual quantum-mechanical formalism.
The shift from modularity to orthomodularity was first made in (Loomis 1955).
a key postulate for von Neumann, is replaced with orthomodularity (a weaker condition).