• Functionality. The assignment $\webleft (\beta ,\alpha \webright )\mapsto \beta \mathbin {\star }\alpha $ defines a function
    \[ \mathbin {\star }_{\webleft (F,G\webright ),\webleft (H,K\webright )}\colon \text{Nat}\webleft (H,K\webright )\times \text{Nat}\webleft (F,G\webright )\to \text{Nat}\webleft (H\circ F,K\circ G\webright ). \]

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