Theorems · Theorem · logic and foundations
Ordinal.card_toZFSet
∀ (o : Ordinal.{u_1}), o.toZFSet.card = o.card- Defined in
- Mathlib.SetTheory.ZFC.Ordinal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.Elemproof · cited by 7,166
- Cardinalstatement · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- Cardinal.mkproof · cited by 942
- Ordinal.cardstatement · cited by 122
- Ordinal.toZFSetstatement · cited by 18
- ZFSet.cardstatement · cited by 16
- Cardinal.mk_Iio_ordinalproof · cited by 8
- ZFSet.cardinalMk_coe_sortproof · cited by 7
- Cardinal.mk_image_eqproof · cited by 5
- Ordinal.toZFSet_injectiveproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.card_le_card_vonNeumannproof · cited by 1