Theorems · Theorem · logic and foundations
ZFSet.vonNeumann_succ
Deprecated since 2026-05-25Use ZFSet.vonNeumann_add_one instead.
∀ (o : Ordinal.{u_1}), ZFSet.vonNeumann (Order.succ o) = (ZFSet.vonNeumann o).powerset- Defined in
- Mathlib.SetTheory.ZFC.VonNeumann
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ordinalstatement and proof · cited by 1,688
- Order.succstatement · cited by 633
- ZFSetstatement · cited by 259
- ZFSet.vonNeumannstatement · cited by 25
- ZFSet.powersetstatement · cited by 11
- ZFSet.vonNeumann_add_oneproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.