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Theorems · Theorem · logic and foundations

ZFSet.vonNeumann_of_isSuccPrelimit

∀ {o : Ordinal.{u}}, Order.IsSuccPrelimit o → ZFSet.vonNeumann o = ZFSet.iUnion fun a => ZFSet.vonNeumann ↑a
Defined in
Mathlib.SetTheory.ZFC.VonNeumann
Cited by
1 results in Mathlib
Foundations
Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ZFSet.card_vonNeumann · cited by 0ZFSet.card_vonNeumannSet · cited by 53352SetSet.Elem · cited by 7166Set.ElemOrdinal · cited by 1688OrdinalSet.Iio · cited by 1166Set.IioZFSet · cited by 259ZFSetOrder.IsSuccPrelimit · cited by 157Order.IsSuccPrelimitZFSet.rank · cited by 31ZFSet.rankZFSet.vonNeumann · cited by 25ZFSet.vonNeumannZFSet.ext · cited by 13ZFSet.extZFSet.iUnion · cited by 10ZFSet.iUnionOrder.IsSuccPrelimit.lt_iff_exists_lt · cited by 4IsSuccPrelimit.lt_iff_exi…ZFSet.vonNeumann_of_isSuccPre…CITED BYCITES

Cites11

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Cited by1

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