Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Axiom_schema
|
| gptkbp:alsoKnownAs |
gptkb:Axiom_schema_of_specification
|
| gptkbp:appliesTo |
Sets
|
| gptkbp:compatibleWith |
Proper classes
|
| gptkbp:expressedIn |
∀A ∀φ ∃B ∀x (x ∈ B ↔ x ∈ A ∧ φ(x))
|
| gptkbp:formedBy |
gptkb:Ernst_Zermelo
|
| https://www.w3.org/2000/01/rdf-schema#label |
Subset Axiom Schema
|
| gptkbp:introducedIn |
1908
|
| gptkbp:partOf |
gptkb:Zermelo-Fraenkel_set_theory
|
| gptkbp:prevention |
gptkb:Russell's_paradox
|
| gptkbp:replacedBy |
gptkb:Axiom_of_separation
|
| gptkbp:state |
For any set and any property, there is a subset of the set containing exactly those elements that satisfy the property
|
| gptkbp:usedIn |
gptkb:ZFC
|
| gptkbp:bfsParent |
gptkb:Axiom_Schema_of_Separation
|
| gptkbp:bfsLayer |
7
|