Propositions, Predicates and Quantifiers [16 Points]
Consider the predicates defined below, where the domain is the ISU community.
$L(x, y)$ means "$x$ and $y$ went to lunch together today"
$S(x)$ means "$x$ is a student"
$F(x)$ means "$x$ is faculty"
Translate the following assertions into predicate formulas:
b) $y$ and $z$ are the only two faculty members that had lunch with at least two different students today