Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
|
| gptkbp:appliesTo |
gptkb:Set_theory
|
| gptkbp:category |
gptkb:logic
gptkb:set_theory |
| gptkbp:formedBy |
gptkb:Ernst_Zermelo
|
| https://www.w3.org/2000/01/rdf-schema#label |
Extensionality axiom
|
| gptkbp:relatedConcept |
gptkb:Axiom_of_pairing
gptkb:Axiom_of_regularity gptkb:Axiom_of_union |
| 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:usedIn |
gptkb:Zermelo–Fraenkel_set_theory
gptkb:Axiomatic_set_theory |
| gptkbp:bfsParent |
gptkb:Axiom_of_extensionality
|
| gptkbp:bfsLayer |
6
|