Relation Has-Single-Slot-Value-Of-Type

Instance-Of: Relation, Set
Subrelation-Of: Has-Slot-Value-Of-Type
Arity: 3
Documentation:
A relation R HAS-SINGLE-SLOT-VALUE-OF-TYPE T with respect to domain class C if for every instance i of C there exists exactly one v such that R(i,v) and v is an instance of T.

Notes:


Implication Axioms for Has-Single-Slot-Value-Of-Type:

(=> (Has-Single-Slot-Value-Of-Type ?Class ?Binary-Relation ?Type)
    (Has-Slot-Value-Of-Type ?Class ?Binary-Relation ?Type))


Equivalence Axioms for Has-Single-Slot-Value-Of-Type:

(<=> (Has-Single-Slot-Value-Of-Type ?Class ?Binary-Relation ?Type)
     (And (Class ?Class)
          (Binary-Relation ?Binary-Relation)
          (Class ?Type)
          (Single-Valued-Slot ?Class ?Binary-Relation)
          (Has-Slot-Value-Of-Type ?Class ?Binary-Relation ?Type)))


Axioms for Has-Single-Slot-Value-Of-Type:

(Single-Valued-Slot ?Class ?Binary-Relation)

(Binary-Relation ?Binary-Relation)

(Nth-Domain Has-Single-Slot-Value-Of-Type 3 Class)

(Nth-Domain Has-Single-Slot-Value-Of-Type 2 Binary-Relation)

(Nth-Domain Has-Single-Slot-Value-Of-Type 1 Class)