Theorems · Theorem · logic and foundations
Ordinal.lsub_le_succ_iSup
Deprecated since 2026-03-27Mathlib marks this declaration as deprecated.
∀ {ι : Type u_3} (f : ι → Ordinal.{max u_4 u_3}), Ordinal.lsub f ≤ Order.succ (iSup f)- Defined in
- Mathlib.SetTheory.Ordinal.Family
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- iSupstatement · cited by 2,415
- Ordinalstatement and proof · cited by 1,688
- Order.succstatement · cited by 633
- Ordinal.lsubstatement · cited by 43
- Order.lt_succ_iffproof · cited by 22
- Ordinal.le_iSupproof · cited by 19
- Ordinal.lsub_leproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- Ordinal.succ_iSup_eq_lsub_iffproof · cited by 1
- Ordinal.iSup_eq_lsub_or_succ_iSup_eq_lsubproof · cited by 1