Theorems · Theorem · logic and foundations
Ordinal.bsup_eq_blsub_of_lt_succ_limit
Deprecated since 2026-03-23Mathlib marks this declaration as deprecated.
∀ {o : Ordinal.{u}} (ho : Order.IsSuccLimit o) {f : (a : Ordinal.{u}) → a < o → Ordinal.{max u v}},
(∀ (a : Ordinal.{u}) (ha : a < o), f a ha < f (Order.succ a) ⋯) → o.bsup f = o.blsub f- Defined in
- Mathlib.SetTheory.Ordinal.Family
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ordinalstatement and proof · cited by 1,688
- LT.lt.trans_leproof · cited by 678
- Order.succstatement and proof · cited by 633
- Order.IsSuccLimitstatement and proof · cited by 255
- Ordinal.bsupstatement · cited by 49
- Ordinal.blsubstatement · cited by 44
- Order.IsSuccLimit.succ_ltstatement and proof · cited by 18
- Ordinal.le_bsupproof · cited by 10
- Ordinal.bsup_eq_blsub_iff_lt_bsupproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Ordinal.IsNormal.blsub_eqproof · cited by 1
- Ordinal.isNormal_iff_lt_succ_and_blsub_eqproof · cited by 0