Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
gptkb:set_theory |
| gptkbp:alsoKnownAs |
Union axiom
|
| gptkbp:field |
gptkb:Mathematics
gptkb:Set_theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Axiom of union
|
| gptkbp:implies |
The union of any set exists
|
| gptkbp:partOf |
gptkb:Zermelo–Fraenkel_set_theory
|
| gptkbp:relatedTo |
gptkb:Axiom_of_extensionality
gptkb:Axiom_of_pairing gptkb:Axiom_of_power_set |
| gptkbp:state |
For any set x, there is a set y such that the elements of y are precisely the elements of the elements of x.
|
| gptkbp:symbol |
∀A ∃B ∀c (c ∈ B ↔ ∃D (c ∈ D ∧ D ∈ A))
|
| gptkbp:usedIn |
gptkb:ZFC
gptkb:Zermelo_set_theory |
| gptkbp:bfsParent |
gptkb:Menge
|
| gptkbp:bfsLayer |
5
|