Theorems · Theorem · logic and foundations
Ordinal.type_Iio_lt
∀ {α : Type u} [inst : LinearOrder α] [inst_1 : WellFoundedLT α] (x : α),
Ordinal.type LT.lt = (Ordinal.typein LT.lt).toRelEmbedding x- Defined in
- Mathlib.SetTheory.Ordinal.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrderWellFoundedLT
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.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- LinearOrderstatement and proof · cited by 8,572
- Set.Elemstatement · cited by 7,166
- Ordinalstatement · cited by 1,688
- Set.Iiostatement · cited by 1,166
- WellFoundedLTstatement and proof · cited by 491
- RelEmbeddingstatement · cited by 281
- Ordinal.typestatement · cited by 207
- PrincipalSeg.toRelEmbeddingstatement · cited by 129
- Ordinal.typeinstatement · cited by 60
Cited by3
Results whose statement or proof uses this declaration.
- Ordinal.typein_ordinalproof · cited by 3
- Ordinal.typein_lt_finproof · cited by 1
- Ordinal.typein_lt_natproof · cited by 1