Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
gptkb:set_theory |
| gptkbp:alsoKnownAs |
Axiom schema of collection
Collection schema |
| gptkbp:category |
gptkb:logic
gptkb:Set_theory |
| gptkbp:formedBy |
gptkb:First-order_logic
|
| https://www.w3.org/2000/01/rdf-schema#label |
Axiom of Collection
|
| gptkbp:implies |
gptkb:Axiom_schema_of_replacement
gptkb:Axiom_schema_of_separation |
| gptkbp:introduced |
gptkb:Abraham_Fraenkel
|
| gptkbp:introducedIn |
1922
|
| gptkbp:partOf |
gptkb:Zermelo–Fraenkel_set_theory
|
| gptkbp:relatedTo |
gptkb:Axiom_schema_of_replacement
gptkb:Axiom_schema_of_separation |
| gptkbp:state |
If for every element x in a set A there exists a set y such that a property φ(x, y) holds, then there is a set B containing such y for each x in A.
|
| gptkbp:usedIn |
gptkb:Kripke–Platek_set_theory
gptkb:Zermelo–Fraenkel_set_theory_(ZF) gptkb:Zermelo–Fraenkel_set_theory_with_Choice_(ZFC) |
| gptkbp:bfsParent |
gptkb:Axiom_of_Replacement
|
| gptkbp:bfsLayer |
5
|