• Commutativity. We have an isomorphism of pointed sets
    \[ \webleft (X\times Y,\webleft (x_{0},y_{0}\webright )\webright ) \cong \webleft (Y\times X,\webleft (y_{0},x_{0}\webright )\webright ), \]

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


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