For each horizontal morphism $R\colon A\mathrel {\rightarrow \kern -9.5pt\mathrlap {|}\kern 6pt}B$ of $\mathsf{Rel}^{\mathsf{dbl}}$, the component
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1This is justified by Chapter 9: Constructions With Relations,
of
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For each horizontal morphism $R\colon A\mathrel {\rightarrow \kern -9.5pt\mathrlap {|}\kern 6pt}B$ of $\mathsf{Rel}^{\mathsf{dbl}}$, the component