Item 1 (00L2) — The Clowder Project

Style	Class	Font	Theorem Environments
Style 1	`book`	Alegreya Sans	`tcbthm`
Style 2	`book`	Alegreya Sans	`amsthm`
Style 3	`book`	Arno*	`amsthm`
Style 4	`book`	Computer Modern	`amsthm`

The relation $R\colon A\mathrel {\rightarrow \kern -9.5pt\mathrlap {|}\kern 6pt}B$ is an equivalence in $\textbf{Rel}$, i.e.:
- There exists a relation $R^{-1}\colon B\mathrel {\rightarrow \kern -9.5pt\mathrlap {|}\kern 6pt}A$ from $B$ to $A$ together with isomorphisms
  \begin{align*} R^{-1}\mathbin {\diamond }R & \cong \chi _{A},\\ R\mathbin {\diamond }R^{-1} & \cong \chi _{B}. \end{align*}

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