Subsection 6.5.2 (00N4): The Right Skew Monoidal Unit

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Table of Contents
Part 2: Relations
Chapter 6: Relations
Section 6.5: The Right Skew Monoidal Structure on $\mathbf{Rel}\webleft (A,B\webright )$
Subsection 6.5.2: The Right Skew Monoidal Unit (cite)

The right $J$-skew monoidal unit of $\mathbf{Rel}\webleft (A,B\webright )$ is the functor

\[ \mathbb {1}^{\mathbf{Rel}\webleft (A,B\webright )}_{\rhd _{J}} \colon \mathsf{pt}\to \mathbf{Rel}\webleft (A,B\webright ) \]

picking the object

\[ \mathbb {1}^{\rhd _{J}}_{\mathbf{Rel}\webleft (A,B\webright )}\mathrel {\smash {\overset {\mathclap {\scriptscriptstyle \text{def}}}=}}J \]

of $\mathbf{Rel}\webleft (A,B\webright )$.

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