Kerodon

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Definition 7.6.4.10 (Equalizer and Coequalizer Diagrams). Let $\operatorname{\mathcal{C}}$ be an $\infty $-category. An equalizer diagram in $\operatorname{\mathcal{C}}$ is a limit diagram $( \bullet \rightrightarrows \bullet )^{\triangleleft } \rightarrow \operatorname{\mathcal{C}}$. A coequalizer diagram is a colimit diagram $( \bullet \rightrightarrows \bullet )^{\triangleright } \rightarrow \operatorname{\mathcal{C}}$.