Theorems · Theorem · logic and foundations
Ordinal.typein_ordinal
∀ (o : Ordinal.{u}), (Ordinal.typein LT.lt).toRelEmbedding o = Ordinal.lift.{u + 1, u} o- Defined in
- Mathlib.SetTheory.Ordinal.Basic
- Cited by
- 3 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.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Set.Elemproof · cited by 7,166
- Ordinalstatement and proof · cited by 1,688
- Set.Iioproof · cited by 1,166
- RelEmbeddingstatement · cited by 281
- Ordinal.typeproof · cited by 207
- PrincipalSeg.toRelEmbeddingstatement and proof · cited by 129
- Ordinal.liftstatement and proof · cited by 86
- Ordinal.typeinstatement and proof · cited by 60
- Ordinal.type_toTypeproof · cited by 28
- Ordinal.lift_id'proof · cited by 10
- Ordinal.ToType.mkproof · cited by 10
Cited by3
Results whose statement or proof uses this declaration.
- Cardinal.mk_Iio_ordinalproof · cited by 8
- Ordinal.cof_Iioproof · cited by 3
- Ordinal.type_lt_Iioproof · cited by 0