Theorems · Theorem · logic and foundations
Ordinal.type_lt_Iio
∀ (o : Ordinal.{u}), (Ordinal.type fun x1 x2 => x1 < x2) = Ordinal.lift.{u + 1, u} o- Defined in
- Mathlib.SetTheory.Ordinal.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Ordinalstatement and proof · cited by 1,688
- Set.Iiostatement · cited by 1,166
- Ordinal.typestatement · cited by 207
- IsWellOrderstatement · cited by 171
- Ordinal.liftstatement and proof · cited by 86
- Ordinal.typein_ordinalproof · cited by 3
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