Theorems · Theorem · logic and foundations
Ordinal.iSup_Iio_eq_bsup
Deprecated since 2026-04-05Mathlib marks this declaration as deprecated.
∀ {o : Ordinal.{u_3}} {f : (a : Ordinal.{u_3}) → a < o → Ordinal.{max u_4 u_3}}, ⨆ a, f ↑a ⋯ = o.bsup f- Defined in
- Mathlib.SetTheory.Ordinal.Family
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- Set.ofPredproof · cited by 6,101
- Set.rangeproof · cited by 4,705
- iSupstatement · cited by 2,415
- Ordinalstatement and proof · cited by 1,688
- Set.Iiostatement · cited by 1,166
- SupSet.sSupproof · cited by 954
- Ordinal.bsupstatement · cited by 49
- Ordinal.range_familyOfBFamilyproof · cited by 3
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