Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
gptkb:set_theory |
| gptkbp:alsoKnownAs |
union axiom
|
| gptkbp:field |
gptkb:set_theory
|
| gptkbp:form |
For any set A, there is a set B such that x is an element of B if and only if there exists a set C such that x is an element of C and C is an element of A.
|
| https://www.w3.org/2000/01/rdf-schema#label |
axiom of union
|
| gptkbp:implies |
for any set, the union of its elements is also a set
|
| gptkbp:purpose |
guarantees the existence of the union of a set of sets
|
| gptkbp:relatedTo |
gptkb:axiom_of_extensionality
gptkb:axiom_of_pairing gptkb:axiom_of_power_set |
| gptkbp:statedIn |
gptkb:Zermelo–Fraenkel_set_theory
gptkb:von_Neumann–Bernays–Gödel_set_theory gptkb:Zermelo_set_theory |
| gptkbp:symbol |
⋃
|
| gptkbp:bfsParent |
gptkb:Zermelo–Fraenkel_axioms
|
| gptkbp:bfsLayer |
6
|