• Associativity. The diagram

    commutes, i.e. we have

    \[ \webleft (U\mathbin {\triangle }V\webright )\mathbin {\triangle }W = U\mathbin {\triangle }\webleft (V\mathbin {\triangle }W\webright ) \]

    for each $U,V,W\in \mathcal{P}\webleft (X\webright )$, as in the Venn diagram


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