Remark 4.4.2.1.2 Unwinding Definition 4.4.2.1.1, I: Comparison With $\smash {\webleft [-,-\webright ]^{\lhd }_{\mathsf{Sets}_{*}}}$

We have

\[ \webleft [-,-\webright ]^{\lhd }_{\mathsf{Sets}_{*}}=\webleft [-,-\webright ]^{\rhd }_{\mathsf{Sets}_{*}}. \]

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