• The Cocone. The collection
    \[ \webleft\{ \mathrm{inj}_{i} \colon A_{i}\to \coprod _{i\in I}A_{i}\webright\} _{i\in I} \]

    of maps given by

    \[ \mathrm{inj}_{i}\webleft (x\webright )\mathrel {\smash {\overset {\mathclap {\scriptscriptstyle \text{def}}}=}}\webleft (i,x\webright ) \]

    for each $x\in A_{i}$ and each $i\in I$.


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