Theorems · Definition · logic and foundations
Ordinal.ToType.toOrd
{o : Ordinal.{u_1}} → o.ToType → ↑(Set.Iio o)Convert an element of α.toType to the corresponding Ordinal
- Defined in
- Mathlib.SetTheory.Ordinal.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 42 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.
- DFunLike.coeproof · cited by 62,936
- Set.Elemstatement · cited by 7,166
- Ordinalstatement and proof · cited by 1,688
- Set.Iiostatement · cited by 1,166
- OrderIso.symmproof · cited by 475
- Ordinal.ToTypestatement and proof · cited by 143
- Ordinal.ToType.mkproof · cited by 10
Cited by9
Results whose statement or proof uses this declaration.
- Ordinal.toPSetproof · cited by 6
- Cardinal.mk_biUnion_le_of_le_liftproof · cited by 3
- Ordinal.lift_card_iSup_le_sum_cardproof · cited by 2
- Ordinal.exists_isFundamentalSeqproof · cited by 1
- Ordinal.rank_toPSetproof · cited by 1
- Ordinal.card_iSup_Iio_le_sum_cardstatement and proof · cited by 1
- Ordinal.type_toPSetproof · cited by 0
- Ordinal.toPSet.eq_defstatement and proof · cited by 0
- Ordinal.card_iSup_Iio_le_card_mul_iSupproof · cited by 0