• Symmetric Bimonoidality. The quintuple $\webleft (\mathsf{Sets},\mathchoice {\mathbin {\textstyle \coprod }}{\mathbin {\textstyle \coprod }}{\mathbin {\scriptstyle \textstyle \coprod }}{\mathbin {\scriptscriptstyle \textstyle \coprod }},\emptyset ,\times ,\text{pt}\webright )$ is a symmetric bimonoidal category.

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