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Hello I have a question about this task, if anyone had a similar problem it would help me.

The task is: Is this relation asymmetric ? $(x,y)\rho(a,b)\rightarrow x+y=a+b$

Thanks in advance !

LogicNotFound
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1 Answers1

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Relation R is said to be asymmetric iff $~\forall p,q$ ($pRq \longrightarrow \neg (qRp))$. In our case if $(x,y)\rho(a,b)$ i.e. $x+y=a+b$, then $a+b=x+y,$ i.e. $(a,b)\rho(x,y)$. So $\rho$ is symmetric.

Timur B.
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