• The Cocone. The maps
    \begin{align*} \mathrm{inj}_{1} & \colon A\to A\mathbin {\textstyle \coprod _{C}}B,\\ \mathrm{inj}_{2} & \colon B\to A\mathbin {\textstyle \coprod _{C}}B \end{align*}

    given by

    \begin{align*} \mathrm{inj}_{1}\webleft (a\webright ) & \mathrel {\smash {\overset {\mathclap {\scriptscriptstyle \text{def}}}=}}\webleft [\webleft (0,a\webright )\webright ]\\ \mathrm{inj}_{2}\webleft (b\webright ) & \mathrel {\smash {\overset {\mathclap {\scriptscriptstyle \text{def}}}=}}\webleft [\webleft (1,b\webright )\webright ]\end{align*}

    for each $a\in A$ and each $b\in B$.


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