• Middle-Four Exchange with Respect to Intersections. The diagram

    commutes, i.e. we have

    \[ \webleft (U\times V\webright )\cap \webleft (W\times T\webright )=\webleft (U\cap V\webright )\times \webleft (W\cap T\webright ). \]

    for each $U,V,W,T\in \mathcal{P}\webleft (X\webright )$.


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