Class Real-Range

• Defined in ontology: Ranges
• Source pathname: /tmp_mnt/vol/q/htw/cms/ontolingua/examples/foundation-ontologies/ranges.lisp

Subclass-Of: Class, Relation, Set

Inherited-Slot-Value: Real-Number

Has-Instance: Second-Number@Simple-Time

Instance-Of: Class, Relation, Set

Domain-Of: R-Lower-Bound, R-Upper-Bound

Arity: 1

Documentation:

An real range is a class of real numbers specified by lower and upper bounds. Instances of an real-range are real numbers.

---

Slots:

Subclass-Of: Real-Number

R-Lower-Bound:

Slot-Cardinality: 1

R-Upper-Bound:

Slot-Cardinality: 1

Arity: 1

Implication Axioms for Real-Range:

(=> (Real-Range ?Class)
    (Forall (?I)
            (=> (Instance-Of ?I ?Class)
                (And (=< (R-Lower-Bound ?Class) ?I)
                     (=< ?I (R-Upper-Bound ?Class))))))

Equivalence Axioms for Real-Range:

(<=> (Real-Range ?Class)
     (And (Class ?Class)
          (Subclass-Of ?Class Real-Number)
          (Value-Cardinality ?Class R-Lower-Bound 1)
          (Value-Cardinality ?Class R-Upper-Bound 1)
          (Forall (?I)
                  (=> (Instance-Of ?I ?Class)
                      (And (=< (R-Lower-Bound ?Class) ?I)
                           (=< ?I (R-Upper-Bound ?Class)))))))