Theorems · Theorem · logic and foundations
Ordinal.bsup_eq_blsub_iff_lt_bsup
Deprecated since 2026-03-23Mathlib marks this declaration as deprecated.
∀ {o : Ordinal.{u}} (f : (a : Ordinal.{u}) → a < o → Ordinal.{max u v}),
o.bsup f = o.blsub f ↔ ∀ (i : Ordinal.{u}) (hi : i < o), f i hi < o.bsup 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.
- le_antisymmproof · cited by 2,068
- Ordinalstatement and proof · cited by 1,688
- Ordinal.bsupstatement and proof · cited by 49
- Ordinal.blsubstatement and proof · cited by 44
- Ordinal.lt_blsubproof · cited by 6
- Ordinal.blsub_leproof · cited by 5
- Ordinal.bsup_le_blsubproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Ordinal.bsup_eq_blsub_of_lt_succ_limitproof · cited by 2
- Ordinal.cof_bsup_le_liftproof · cited by 1