Theorems · Definition · logic and foundations
ZFSet
Type (u + 1)
The ZFC universe of sets consists of the type of pre-sets, quotiented by extensional equivalence.
- Defined in
- Mathlib.SetTheory.ZFC.Basic
- Cited by
- 259 results in Mathlib
- Foundations
- Depth 14 from the axioms, rests on 27 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by317
Results whose statement or proof uses this declaration.
- Classproof · cited by 43
- ZFSet.IsOrdinalstatement · cited by 34
- Class.ofSetstatement and proof · cited by 32
- ZFSet.rankstatement · cited by 31
- ZFSet.vonNeumannstatement and proof · cited by 25
- ZFSet.IsTransitivestatement and proof · cited by 22
- Ordinal.toZFSetstatement · cited by 18
- ZFSet.mkstatement · cited by 17
- ZFSet.cardstatement and proof · cited by 16
- ZFSet.sUnionstatement · cited by 15
- ZFSet.Nonemptystatement and proof · cited by 13
- ZFSet.extstatement and proof · cited by 13
Showing the 200 most cited of 317.