Function Union

• Defined in ontology: Kif-sets
• Source pathname: /tmp_mnt/vol/q/htw/cms/ontolingua/examples/kif/../../all-ontologies/kif/kif-sets.lisp

Instance-Of@Frame-Ontology: Function@Ol-User%Kif-Relations, Relation@Ol-User%Kif-Relations, Set

Range@Frame-Ontology: Set

Documentation@Ol%Frame-Ontology:

NIL

Notes:

• Source: KIF Version 3.0 Specification

Axioms for Union:

(Undefined@Ol-User%Kif-Extensions (Arity@Frame-Ontology Union))

Implication Axioms mentioning Union:

(=> (= (Union @Sets) ?Set)
    (=> (Item@Ol-User%Kif-Lists ?S (Listof @Sets)) (Set ?S)))

Equivalence Axioms mentioning Union:

(<=> (Set-Partition ?S @Sets)
     (And (= ?S (Union @Sets)) (Pairwise-Disjoint @Sets)))

(<=> (Set-Cover ?S @Sets) (Subset ?S (Union @Sets)))

Axioms mentioning Union:

(= ?S (Union @Sets))