Theorems · Theorem · logic and foundations
ZFSet.isOrdinal_toZFSet
∀ (o : Ordinal.{u_1}), o.toZFSet.IsOrdinal- Defined in
- Mathlib.SetTheory.ZFC.Ordinal
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- LT.lt.transproof · cited by 370
- ZFSetproof · cited by 259
- ZFSet.IsOrdinalstatement · cited by 34
- Ordinal.toZFSetstatement and proof · cited by 18
- Ordinal.mem_toZFSet_iffproof · cited by 2
- Ordinal.toZFSet_mem_toZFSet_iffproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Ordinal.toZFSetIsoproof · cited by 2
- ZFSet.IsOrdinal.toZFSet_rank_eqproof · cited by 1
- Ordinal.toZFSetIso_applystatement · cited by 0
- ZFSet.isOrdinal_iff_mem_range_toZFSetproof · cited by 0