Statements (18)
Predicate | Object |
---|---|
gptkbp:instanceOf |
axiom schema
|
gptkbp:category |
gptkb:set_theory
|
gptkbp:enables |
construction of larger sets
|
gptkbp:expressedIn |
schema of first-order formulas
|
gptkbp:formedBy |
gptkb:Ernst_Zermelo
gptkb:Abraham_Fraenkel |
gptkbp:generalizes |
gptkb:axiom_schema_of_separation
|
https://www.w3.org/2000/01/rdf-schema#label |
Axiom schema of replacement
|
gptkbp:introducedIn |
1922
|
gptkbp:relatedTo |
gptkb:axiom_of_collection
gptkb:axiom_of_separation |
gptkbp:requires |
ordinal arithmetic
transfinite recursion |
gptkbp:state |
the image of a set under any definable function is also a set
|
gptkbp:usedIn |
gptkb:Zermelo–Fraenkel_set_theory
gptkb:ZFC |
gptkbp:bfsParent |
gptkb:Zermelo-Fraenkel_set_theory
|
gptkbp:bfsLayer |
5
|