Theorems · Theorem · logic and foundations
ZFSet.isTransitive_vonNeumann
∀ (o : Ordinal.{u_1}), (ZFSet.vonNeumann o).IsTransitive- Defined in
- Mathlib.SetTheory.ZFC.VonNeumann
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 46 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.
- Set.Elemproof · cited by 7,166
- Ordinalstatement and proof · cited by 1,688
- Set.Iioproof · cited by 1,166
- ZFSetproof · cited by 259
- ZFSet.vonNeumannstatement and proof · cited by 25
- ZFSet.IsTransitivestatement and proof · cited by 22
- ZFSet.powersetproof · cited by 11
- ZFSet.IsTransitive.iUnionproof · cited by 1
- ZFSet.IsTransitive.powersetproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- ZFSet.vonNeumann_subset_of_leproof · cited by 0