If $R \subseteq A \times A$ is it true that $R$ is symmetrical since $xRy$ then $yRx$ ?
I have written that this is also antisymmetrical if both $x\leq y$ and $y\leq x$ if $x =y$
How does I then make $R \subseteq A \times A$ transitive?
If $R \subseteq A \times A$ is it true that $R$ is symmetrical since $xRy$ then $yRx$ ?
I have written that this is also antisymmetrical if both $x\leq y$ and $y\leq x$ if $x =y$
How does I then make $R \subseteq A \times A$ transitive?