Theorems · Theorem · logic and foundations
ZFSet.rank_vonNeumann
∀ (o : Ordinal.{u_1}), (ZFSet.vonNeumann o).rank = o- Defined in
- Mathlib.SetTheory.ZFC.VonNeumann
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- le_antisymmproof · cited by 2,068
- le_reflproof · cited by 2,061
- Ordinalstatement and proof · cited by 1,688
- ZFSet.rankstatement and proof · cited by 31
- ZFSet.vonNeumannstatement and proof · cited by 25
- le_of_forall_ltproof · cited by 25
- ZFSet.rank_lt_of_memproof · cited by 8
- ZFSet.subset_vonNeumannproof · cited by 2
- ZFSet.vonNeumann_mem_of_ltproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- ZFSet.vonNeumann_mem_vonNeumann_iffproof · cited by 0
- ZFSet.vonNeumann_subset_vonNeumann_iffproof · cited by 0