• The Limit. The set $A\times _{C}B$ defined by
    \[ A\times _{C}B\mathrel {\smash {\overset {\mathclap {\scriptscriptstyle \text{def}}}=}}\webleft\{ \webleft (a,b\webright )\in A\times B\ \middle |\ f\webleft (a\webright )=g\webleft (b\webright )\webright\} . \]

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