Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
gptkb:set_theory |
| gptkbp:alsoKnownAs |
gptkb:Extensionality_axiom
|
| gptkbp:field |
gptkb:Set_theory
|
| gptkbp:formedBy |
gptkb:Ernst_Zermelo
1908 |
| https://www.w3.org/2000/01/rdf-schema#label |
Axiom of extensionality
|
| gptkbp:importantFor |
Foundation of modern set theory
|
| gptkbp:partOf |
gptkb:Zermelo–Fraenkel_set_theory
|
| gptkbp:state |
Two sets are equal if and only if they have the same elements
|
| gptkbp:symbol |
∀A ∀B [∀x (x ∈ A ↔ x ∈ B) → A = B]
|
| gptkbp:bfsParent |
gptkb:Menge
|
| gptkbp:bfsLayer |
5
|