Theorems · Definition · logic and foundations
Ordinal.lsub
Deprecated since 2026-03-27Mathlib marks this declaration as deprecated.
{ι : Type u} → (ι → Ordinal.{max u v}) → Ordinal.{max u v}The least strict upper bound of a family of ordinals.
- Defined in
- Mathlib.SetTheory.Ordinal.Family
- Cited by
- 43 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.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- iSupproof · cited by 2,415
- Ordinalstatement and proof · cited by 1,688
- Order.succproof · cited by 633
Cited by43
Results whose statement or proof uses this declaration.
- Ordinal.lt_lsubstatement · cited by 7
- Ordinal.lsub_lestatement · cited by 6
- Ordinal.lsub_le_iffstatement · cited by 6
- Ordinal.blsub_eq_lsub'statement · cited by 4
- Ordinal.iSup_le_lsubstatement · cited by 4
- Ordinal.cof_lsub_def_nonemptystatement · cited by 3
- Ordinal.lsub_eq_blsubstatement · cited by 3
- Ordinal.lsub_eq_blsub'statement · cited by 2
- Ordinal.lsub_le_succ_iSupstatement · cited by 2
- Ordinal.lsub_typeinstatement and proof · cited by 2
- Ordinal.cof_eq_sInf_lsubstatement and proof · cited by 2
- Ordinal.exists_lsub_cofstatement and proof · cited by 2