range subclass (rangeSubclass)

(rangeSubclass function class) means that all of the values assigned by function are subclasses of class.

Ontology

SUMO / STRUCTURAL-ONTOLOGY

Class(es)

class

inheritable relation

binary predicate
is instance of

asymmetric relation
is instance of

range subclass

Coordinate term(s)

back fn cardinality fn front fn principal host fn probability fn skin fn arc weight attribute authors before or equal causes causes subclass citizen closed on completely fills connected contains information cooccur copy crosses date decreases likelihood developmental form disjoint distributes documentation duration earlier editor element employs equal equivalence relation on exploits expressed in language faces family relation fills finishes frequency graph part greater than greater than or equal to has purpose has skill holds during holds obligation holds right hole identity element immediate instance immediate subclass in list in scope of interest increases likelihood independent probability inhabits inhibits initial list instance inverse irreflexive on larger less than less than or equal to manner material measure meets temporally member modal attribute overlaps temporally parent partial ordering on partially fills partly located path length penetrates possesses precondition prevents proper part properly fills property publishes range realization refers reflexive on related internal concept sibling smaller starts sub attribute sub collection sub graph sub list sub process sub proposition subclass subrelation subsumes content class subsumes content instance successor attribute successor attribute closure surface temporal part time total ordering on trichotomizing on uses valence version

Type restrictions

rangeSubclass(function, subclass set or class)

Axioms (5)

If the values returned by function are subclasses of class and "function()" is equal to value, then value is a subclass of class.

(=>
      (and
            (rangeSubclass ?FUNCTION ?CLASS)
            (equal
                  (AssignmentFn ?FUNCTION @ROW)
                  ?VALUE))
      (subclass ?VALUE ?CLASS))

If rel1 is a subrelation of rel2 and the values returned by rel2 are subclasses of class1, then the values returned by rel1 are subclasses of class1.

(=>
      (and
            (subrelation ?REL1 ?REL2)
            (rangeSubclass ?REL2 ?CLASS1))
      (rangeSubclass ?REL1 ?CLASS1))

If the values returned by rel are subclasses of class1 and the values returned by rel are subclasses of class2, then class1 is a subclass of class2 or class2 is a subclass of class1.

(=>
      (and
            (rangeSubclass ?REL ?CLASS1)
            (rangeSubclass ?REL ?CLASS2))
      (or
            (subclass ?CLASS1 ?CLASS2)
            (subclass ?CLASS2 ?CLASS1)))

If the values returned by rel1 are subclasses of class1 and the values returned by rel2 are subclasses of class2 and class1 is disjoint from class2, then rel1 and rel2 are disjoint.

(=>
      (and
            (rangeSubclass ?REL1 ?CLASS1)
            (rangeSubclass ?REL2 ?CLASS2)
            (disjoint ?CLASS1 ?CLASS2))
      (disjointRelation ?REL1 ?REL2))

rel is an instance of binary relation
the number argument of rel is an instance of class1 or the number argument of rel is a subclass of class1
the number argument of rel is an instance of class2 or the number argument of rel is a subclass of class2 or range of rel is an instance of class2 or the values returned by rel are subclasses of class2
class1 is disjoint from class2

, then rel is an instance of asymmetric relation.

(=>
      (and
            (instance ?REL BinaryRelation)
            (or
                  (domain ?REL 1 ?CLASS1)
                  (domainSubclass ?REL 1 ?CLASS1))
            (or
                  (domain ?REL 2 ?CLASS2)
                  (domainSubclass ?REL 2 ?CLASS2)
                  (range ?REL ?CLASS2)
                  (rangeSubclass ?REL ?CLASS2))
            (disjoint ?CLASS1 ?CLASS2))
      (instance ?REL AsymmetricRelation))