## Asymmetric Relationships

Just for some fun. I am trying to put the following phrase in mathematical form; "asymmetry of the correlation among beauty, attraction, and sexuality". Correct me if I am wrong and it would be helpful if this can put in a simpler form.

$a = attraction$, $b = beauty$, $s = sexuality$

$c_{ab} = corr(a,b)$, $c_{bs} = corr(b,s)$, $c_{sa} = corr(s,a)$

$\exists c_{ab},c_{bs} \in X, c_{ab}Rc_{bs} \rightarrow \lnot(c_{bs}Rc_{ab})$
$\exists c_{bs},c_{sa} \in Y, c_{bs}Rc_{sa} \rightarrow \lnot(c_{sa}Rc_{bs})$
$\exists c_{sa},c_{ab} \in (X \cup Y), c_{sa}Rc_{ab} \rightarrow \lnot(c_{ab}Rc_{sa})$