Theorems · Theorem · logic and foundations
Ordinal.cof_Iio
∀ (o : Ordinal.{u}), Order.cof ↑(Set.Iio o) = (Ordinal.lift.{u + 1, u} o).cof- Cited by
- 3 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.Elemstatement · cited by 7,166
- Cardinalstatement and proof · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- Set.Iiostatement · cited by 1,166
- Ordinal.cofstatement and proof · cited by 125
- Order.cofstatement · cited by 86
- Ordinal.liftstatement and proof · cited by 86
- Ordinal.typein_ordinalproof · cited by 3
- Order.cof_Iioproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Ordinal.lift_cof_iSup_add_oneproof · cited by 4
- Ordinal.sSup_add_one_lt_of_lt_cofproof · cited by 2
- Ordinal.cof_iSup_Iio_add_oneproof · cited by 2