Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
gptkb:set_theory |
| gptkbp:alsoKnownAs |
collection axiom
collection scheme |
| https://www.w3.org/2000/01/rdf-schema#label |
axiom of collection
|
| gptkbp:implies |
axiom of bounding
axiom of replacement (in ZF) |
| gptkbp:relatedTo |
gptkb:axiom_schema_of_replacement
gptkb:axiom_schema_of_separation |
| gptkbp:state |
For any formula φ(x, y), if for every x in a set A there exists a y such that φ(x, y), then there is a set B collecting such y's for each x in A.
|
| gptkbp:usedIn |
gptkb:Zermelo–Fraenkel_set_theory_(ZF)
gptkb:Zermelo–Fraenkel_set_theory_with_choice_(ZFC) gptkb:Kripke–Platek_set_theory_(KP) |
| gptkbp:bfsParent |
gptkb:Axiom_schema_of_replacement
|
| gptkbp:bfsLayer |
6
|