Extensions of Hardy-type true-implies-false gadgets to classically obtain indistinguishability

In quantum logical terms, Hardy-type arguments can be uniformly presented and extended as collections of intertwined contexts their observables. If interpreted classically, those structures serve graph-theoretic ``gadgets'' that enforce correlations on the respective preselected postselected observable terminal points. The method allows generalization extension to other types relational properties, in particular, novel joint properties predicting classical equality mechanically distinct It also facilitates finding faithful orthogonal representations