Theorems · Theorem · logic and foundations
Ordinal.typein_lt_fin
∀ {n : ℕ} (x : Fin n), (Ordinal.typein LT.lt).toRelEmbedding x = ↑↑x- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Ordinalstatement and proof · cited by 1,688
- RelEmbeddingstatement · cited by 281
- PrincipalSeg.toRelEmbeddingstatement · cited by 129
- Nat.cast_injproof · cited by 70
- Ordinal.typeinstatement · cited by 60
- Ordinal.type_fintypeproof · cited by 4
- Ordinal.type_Iio_ltproof · cited by 3
- Fintype.card_fin_lt_of_leproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.enum_lt_finproof · cited by 0