Function R-LOWER-BOUND

• Defined in theory: Jat-generic
• Source code: job-assignment-generic.lisp

Slots on this function:

Documentation:

(R-LOWER-BOUND r) denotes the real lower bound of range r.

Instance-Of: Function

Arity: 2

Domain: Real-range

Range: Real-number

Other Related Axioms:

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

(Inherited-Facet-Value Slot-Cardinality Real-Range R-Lower-Bound 1)

(<=> (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)))))))

(=> (R-Lower-Bound $X $Y) (Real-Number $Y))

(=> (R-Lower-Bound $X $Y) (Real-Range $X))

(= (R-Lower-Bound Second-Number) 0)