Theorems · Definition · logic and foundations
Ordinal.liftPrincipalSeg
Ordinal.{u} <i Ordinal.{max (u + 1) v}Principal segment version of the lift operation on ordinals, embedding Ordinal.{u} in
Ordinal.{v} as a principal segment when u < v.
- Defined in
- Mathlib.SetTheory.Ordinal.Univ
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ordinalstatement · cited by 1,688
- PrincipalSegstatement · cited by 73
- Ordinal.univproof · cited by 18
- Ordinal.liftInitialSegproof · cited by 8
- InitialSeg.toRelEmbeddingproof · cited by 8
Cited by6
Results whose statement or proof uses this declaration.
- Cardinal.ord_univproof · cited by 8
- Cardinal.lift_lt_univproof · cited by 2
- Ordinal.liftPrincipalSeg_coestatement · cited by 2
- Cardinal.lt_univproof · cited by 1
- Ordinal.liftPrincipalSeg_topstatement · cited by 0
- Ordinal.liftPrincipalSeg_top'statement · cited by 0