SINGLE-VALUED-SLOT is a constraint on the second argument of a binary relation that is conditional on the first argument to the relation being an instance of a given class. It is like unary-function, except it is local to the values of the relation on instances of the given subset of the domain.
(<=> (Single-Valued-Slot ?Class ?Binary-Relation) (= (Slot-Cardinality ?Class ?Binary-Relation) 1))
(<=> (Single-Valued-Slot ?Class ?Binary-Relation) (And (Class ?Class) (Binary-Relation ?Binary-Relation) (=> (Instance-Of ?Instance ?Class) (=> (Holds ?Binary-Relation ?Instance ?Slot-Value1) (Holds ?Binary-Relation ?Instance ?Slot-Value2) (= ?Slot-Value1 ?Slot-Value2))))) (<=> (Single-Valued-Slot ?Class ?Binary-Relation) (= (Slot-Cardinality ?Class ?Binary-Relation) 1))