6.3.12 Kan Extensions and Kan Lifts in $\textbf{Rel}$

The $2$-category $\textbf{Rel}$ admits all right Kan extensions and right Kan lifts, though not all left Kan extensions and neither does it admit all left Kan lifts. See Chapter 7: Constructions With Relations, Section 7.2 for a detailed discussion of this.


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