Theorems · Theorem · logic and foundations
Ordinal.iSup_typein_succ
Deprecated since 2026-03-27Use csSup_Iic instead.
∀ {o : Ordinal.{u_3}}, iSup ⇑(Ordinal.typein fun x1 x2 => x1 < x2).toRelEmbedding = o- Defined in
- Mathlib.SetTheory.Ordinal.Family
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- Setproof · cited by 53,352
- Set.ofPredproof · cited by 6,101
- iSupstatement and proof · cited by 2,415
- Ordinalstatement and proof · cited by 1,688
- Set.Iicproof · cited by 1,111
- SupSet.sSupproof · cited by 954
- Order.succstatement and proof · cited by 633
- RelEmbeddingstatement · cited by 281
- SupSetproof · cited by 154
- Ordinal.ToTypestatement and proof · cited by 143
- PrincipalSeg.toRelEmbeddingstatement and proof · cited by 129
Cited by2
Results whose statement or proof uses this declaration.
- Ordinal.bsup_id_add_oneproof · cited by 0
- Ordinal.bsup_id_succproof · cited by 0