• Adjointness. We have adjunctions
    witnessed by bijections
    \begin{align*} \mathsf{Sets}\webleft (A\times B,C\webright ) & \cong \mathsf{Sets}\webleft (A,\mathsf{Sets}\webleft (B,C\webright )\webright ),\\ \mathsf{Sets}\webleft (A\times B,C\webright ) & \cong \mathsf{Sets}\webleft (B,\mathsf{Sets}\webleft (A,C\webright )\webright ), \end{align*}

    natural in $A,B,C\in \text{Obj}\webleft (\mathsf{Sets}\webright )$.


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