Theorems · Theorem · logic and foundations
Ordinal.typein_injective
∀ {α : Type u} (r : α → α → Prop) [inst : IsWellOrder α r], Function.Injective ⇑(Ordinal.typein r).toRelEmbedding- Defined in
- Mathlib.SetTheory.Ordinal.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- IsWellOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 · cited by 1,688
- RelEmbeddingstatement · cited by 281
- IsWellOrderstatement and proof · cited by 171
- PrincipalSeg.toRelEmbeddingstatement and proof · cited by 129
- Ordinal.typeinstatement and proof · cited by 60
- RelEmbedding.injectiveproof · cited by 41
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.typein_injproof · cited by 2