Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
|
| gptkbp:alsoKnownAs |
empty set axiom
|
| gptkbp:field |
gptkb:set_theory
|
| gptkbp:formalStatement |
∃x ∀y (¬(y ∈ x))
|
| gptkbp:formedBy |
gptkb:Ernst_Zermelo
|
| https://www.w3.org/2000/01/rdf-schema#label |
axiom of empty set
|
| gptkbp:implies |
empty set
|
| gptkbp:includedIn |
gptkb:Zermelo–Fraenkel_set_theory
|
| gptkbp:requires |
construction of natural numbers
|
| gptkbp:state |
There exists a set with no elements.
|
| gptkbp:usedIn |
gptkb:set_theory
|
| gptkbp:bfsParent |
gptkb:Zermelo–Fraenkel_axioms
|
| gptkbp:bfsLayer |
6
|