Potentially interesting examples to add include, but are definitely not limited to:
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Examples of 2-categorical monomorphisms in $\boldsymbol {\mathsf{Rel}}$, following Chapter 8: Relations,
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Examples of 2-categorical epimorphisms in $\boldsymbol {\mathsf{Rel}}$, following Chapter 8: Relations,
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Examples of left Kan extensions and left Kan lifts in $\boldsymbol {\mathsf{Rel}}$.
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Examples of functors satisfying the conditions described in Chapter 11: Categories.