• Distributivity Over Wedge Sums. We have isomorphisms of pointed sets
    \begin{align*} X\wedge \webleft (Y\vee Z\webright ) & \cong \webleft (X\wedge Y\webright )\vee \webleft (X\wedge Z\webright ),\\ \webleft (X\vee Y\webright )\wedge Z & \cong \webleft (X\wedge Z\webright )\vee \webleft (Y\wedge Z\webright ), \end{align*}

    natural in $\webleft (X,x_{0}\webright ),\webleft (Y,y_{0}\webright ),\webleft (Z,z_{0}\webright )\in \text{Obj}\webleft (\mathsf{Sets}_{*}\webright )$.


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