Proposition 8.2.1.1.4 (01RV): Properties of Symmetric Relations

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Let $R$ and $S$ be relations on $A$.

Interaction With Inverses. If $R$ is symmetric, then so is $R^{\dagger }$.
Interaction With Composition. If $R$ and $S$ are symmetric, then so is $S\mathbin {\diamond }R$.

Proof of Proposition 8.2.1.1.4.

Item 1: Interaction With Inverses

Clear.

Item 2: Interaction With Composition

Clear.

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